rlx-eda multi-parameter CMOS inverter optimization (Adam)

Circuit: CMOS inverter (NMOS + PMOS via spike_divider_block::Mosfet), Vin shorted to Vout. Two parameters under simultaneous gradient descent:

Vth_n — NMOS threshold voltage
Vth_p — PMOS threshold voltage (negative; we log magnitude)

Stimulus: Vdd = 1.000 V, V_m* = 0.620 V, λ_reg = 0.5, Adam lr = 0.04

Composite loss:

$$L = (V_m - V_m^*)^2 + \lambda \cdot (V_{th,n} - |V_{th,p}|)^2$$

First term targets the switching threshold; second is a matched-threshold regularizer (a standard analog design rule for symmetric noise margins). Without it, the (Vth_n, Vth_p) → V_m mapping is underdetermined.

Both gradients flow through the rlx graph that stamps the LEVEL-1 MOSFET equations into the MNA residual; per-parameter gradients arrive via eda_mna::sensitivities (reverse-mode AD).

Optimization outcome

initial: Vth_n = 0.5000 V, |Vth_p| = 0.5000 V, Vm = 0.525000, loss = 9.0250e-3
final: Vth_n = 0.7751 V, |Vth_p| = 0.7751 V, Vm = 0.600000, loss = 4.0000e-4, steps = 200
data-term loss: 4.0000e-4, regularizer loss: 3.0020e-13, threshold mismatch: 0.0000 V

Rendered charts

Loss components	Parameter trajectories

Output and error	Per-parameter gradients

Chart grid

Row	Left panel	Right panel
1	A. Total / data / reg loss	B. Vth_n and \|Vth_p\| trajectories
2	C. V_m tracking vs target	D. ∂L/∂Vth_n and ∂L/∂Vth_p

A) Loss decomposition

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line 1: total $L$
line 2: data $(V_m - V_m^*)^2$
line 3: reg $\lambda(V_{th,n} - |V_{th,p}|)^2$

B) Threshold trajectories

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line 2: |Vth_p|

C) V_m tracking vs target

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Legend:

line 1: V_m
line 2: V_m - V_m_target

D) Per-parameter gradients

xychart-beta
  title "∂L/∂Vth_n and ∂L/∂Vth_p driving Adam updates"
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Legend:

line 1: $\partial L / \partial V_{th,n}$
line 2: $\partial L / \partial V_{th,p}$

Step-by-step trace

step	Vth_n	\|Vth_p\|	V_m	loss	data	reg	∂L/∂Vth_n	∂L/∂Vth_p
0	0.5000	0.5000	0.525000	9.025e-3	9.025e-3	0.000e0	-1.900e-1	0.000e0
1	0.5400	0.5000	0.570000	3.300e-3	2.500e-3	8.000e-4	-6.000e-2	-4.000e-2
2	0.5745	0.5298	0.600000	1.402e-3	4.000e-4	1.002e-3	4.759e-3	-4.476e-2
3	0.6006	0.5641	0.600000	1.064e-3	4.000e-4	6.641e-4	3.644e-2	-3.644e-2
4	0.6174	0.6003	0.600000	5.466e-4	4.000e-4	1.466e-4	1.712e-2	-1.712e-2
5	0.6297	0.6351	0.600000	4.146e-4	4.000e-4	1.461e-5	-5.406e-3	5.406e-3
6	0.6409	0.6635	0.600000	6.559e-4	4.000e-4	2.559e-4	-2.262e-2	2.262e-2
7	0.6529	0.6812	0.600000	8.004e-4	4.000e-4	4.004e-4	-2.830e-2	2.830e-2
8	0.6660	0.6888	0.600000	6.589e-4	4.000e-4	2.589e-4	-2.276e-2	2.276e-2
9	0.6798	0.6900	0.600000	4.521e-4	4.000e-4	5.209e-5	-1.021e-2	1.021e-2
10	0.6930	0.6887	0.600000	4.092e-4	4.000e-4	9.158e-6	4.280e-3	-4.280e-3
11	0.7044	0.6885	0.600000	5.262e-4	4.000e-4	1.262e-4	1.588e-2	-1.588e-2
12	0.7132	0.6919	0.600000	6.260e-4	4.000e-4	2.260e-4	2.126e-2	-2.126e-2
13	0.7191	0.6996	0.600000	5.913e-4	4.000e-4	1.913e-4	1.956e-2	-1.956e-2
14	0.7226	0.7104	0.600000	4.743e-4	4.000e-4	7.427e-5	1.219e-2	-1.219e-2
15	0.7247	0.7228	0.600000	4.018e-4	4.000e-4	1.762e-6	1.877e-3	-1.877e-3
16	0.7264	0.7344	0.600000	4.323e-4	4.000e-4	3.233e-5	-8.042e-3	8.042e-3
17	0.7286	0.7432	0.600000	5.054e-4	4.000e-4	1.054e-4	-1.452e-2	1.452e-2
18	0.7321	0.7479	0.600000	5.252e-4	4.000e-4	1.252e-4	-1.582e-2	1.582e-2
19	0.7367	0.7488	0.600000	4.729e-4	4.000e-4	7.289e-5	-1.207e-2	1.207e-2
20	0.7421	0.7470	0.600000	4.121e-4	4.000e-4	1.213e-5	-4.925e-3	4.925e-3
21	0.7474	0.7443	0.600000	4.049e-4	4.000e-4	4.858e-6	3.117e-3	-3.117e-3
22	0.7520	0.7425	0.600000	4.446e-4	4.000e-4	4.465e-5	9.449e-3	-9.449e-3
23	0.7552	0.7430	0.600000	4.743e-4	4.000e-4	7.430e-5	1.219e-2	-1.219e-2
24	0.7569	0.7461	0.600000	4.581e-4	4.000e-4	5.805e-5	1.078e-2	-1.078e-2
25	0.7573	0.7513	0.600000	4.181e-4	4.000e-4	1.813e-5	6.022e-3	-6.022e-3
26	0.7571	0.7574	0.600000	4.000e-4	4.000e-4	3.545e-8	-2.663e-4	2.663e-4
27	0.7570	0.7629	0.600000	4.174e-4	4.000e-4	1.745e-5	-5.907e-3	5.907e-3
28	0.7574	0.7665	0.600000	4.411e-4	4.000e-4	4.107e-5	-9.063e-3	9.063e-3
29	0.7588	0.7677	0.600000	4.393e-4	4.000e-4	3.933e-5	-8.869e-3	8.869e-3
30	0.7611	0.7667	0.600000	4.161e-4	4.000e-4	1.608e-5	-5.671e-3	5.671e-3
31	0.7637	0.7645	0.600000	4.003e-4	4.000e-4	3.266e-7	-8.082e-4	8.082e-4
32	0.7662	0.7623	0.600000	4.076e-4	4.000e-4	7.617e-6	3.903e-3	-3.903e-3
33	0.7680	0.7612	0.600000	4.232e-4	4.000e-4	2.324e-5	6.818e-3	-6.818e-3
34	0.7690	0.7619	0.600000	4.248e-4	4.000e-4	2.480e-5	7.043e-3	-7.043e-3
35	0.7690	0.7643	0.600000	4.111e-4	4.000e-4	1.113e-5	4.718e-3	-4.718e-3
36	0.7684	0.7676	0.600000	4.004e-4	4.000e-4	3.955e-7	8.894e-4	-8.894e-4
37	0.7679	0.7708	0.600000	4.043e-4	4.000e-4	4.275e-6	-2.924e-3	2.924e-3
38	0.7677	0.7730	0.600000	4.141e-4	4.000e-4	1.409e-5	-5.308e-3	5.308e-3
39	0.7681	0.7736	0.600000	4.150e-4	4.000e-4	1.502e-5	-5.481e-3	5.481e-3
40	0.7692	0.7728	0.600000	4.063e-4	4.000e-4	6.332e-6	-3.559e-3	3.559e-3
41	0.7707	0.7711	0.600000	4.001e-4	4.000e-4	9.920e-8	-4.454e-4	4.454e-4
42	0.7720	0.7694	0.600000	4.033e-4	4.000e-4	3.277e-6	2.560e-3	-2.560e-3
43	0.7729	0.7686	0.600000	4.092e-4	4.000e-4	9.205e-6	4.291e-3	-4.291e-3
44	0.7732	0.7690	0.600000	4.087e-4	4.000e-4	8.680e-6	4.166e-3	-4.166e-3
45	0.7729	0.7705	0.600000	4.029e-4	4.000e-4	2.854e-6	2.389e-3	-2.389e-3
46	0.7724	0.7726	0.600000	4.000e-4	4.000e-4	1.830e-8	-1.913e-4	1.913e-4
47	0.7719	0.7744	0.600000	4.030e-4	4.000e-4	3.024e-6	-2.459e-3	2.459e-3
48	0.7718	0.7753	0.600000	4.062e-4	4.000e-4	6.153e-6	-3.508e-3	3.508e-3
49	0.7721	0.7751	0.600000	4.045e-4	4.000e-4	4.506e-6	-3.002e-3	3.002e-3
50	0.7729	0.7742	0.600000	4.008e-4	4.000e-4	8.225e-7	-1.283e-3	1.283e-3
51	0.7737	0.7729	0.600000	4.003e-4	4.000e-4	3.389e-7	8.233e-4	-8.233e-4
52	0.7744	0.7720	0.600000	4.028e-4	4.000e-4	2.843e-6	2.384e-3	-2.384e-3
53	0.7746	0.7718	0.600000	4.038e-4	4.000e-4	3.845e-6	2.773e-3	-2.773e-3
54	0.7745	0.7726	0.600000	4.018e-4	4.000e-4	1.840e-6	1.918e-3	-1.918e-3
55	0.7741	0.7738	0.600000	4.000e-4	4.000e-4	4.475e-8	2.992e-4	-2.992e-4
56	0.7737	0.7750	0.600000	4.008e-4	4.000e-4	8.501e-7	-1.304e-3	1.304e-3
57	0.7735	0.7757	0.600000	4.024e-4	4.000e-4	2.368e-6	-2.176e-3	2.176e-3
58	0.7736	0.7756	0.600000	4.020e-4	4.000e-4	1.972e-6	-1.986e-3	1.986e-3
59	0.7740	0.7750	0.600000	4.004e-4	4.000e-4	4.141e-7	-9.101e-4	9.101e-4
60	0.7746	0.7741	0.600000	4.001e-4	4.000e-4	1.172e-7	4.840e-4	-4.840e-4
61	0.7750	0.7734	0.600000	4.012e-4	4.000e-4	1.163e-6	1.525e-3	-1.525e-3
62	0.7751	0.7733	0.600000	4.015e-4	4.000e-4	1.547e-6	1.759e-3	-1.759e-3
63	0.7749	0.7738	0.600000	4.007e-4	4.000e-4	6.539e-7	1.144e-3	-1.144e-3
64	0.7746	0.7746	0.600000	4.000e-4	4.000e-4	9.518e-10	4.363e-5	-4.363e-5
65	0.7744	0.7753	0.600000	4.005e-4	4.000e-4	4.753e-7	-9.750e-4	9.750e-4
66	0.7742	0.7757	0.600000	4.010e-4	4.000e-4	1.022e-6	-1.430e-3	1.430e-3
67	0.7744	0.7755	0.600000	4.007e-4	4.000e-4	6.595e-7	-1.148e-3	1.148e-3
68	0.7747	0.7750	0.600000	4.001e-4	4.000e-4	5.519e-8	-3.322e-4	3.322e-4
69	0.7750	0.7744	0.600000	4.002e-4	4.000e-4	1.633e-7	5.714e-4	-5.714e-4
70	0.7752	0.7741	0.600000	4.006e-4	4.000e-4	6.131e-7	1.107e-3	-1.107e-3
71	0.7752	0.7741	0.600000	4.005e-4	4.000e-4	5.407e-7	1.040e-3	-1.040e-3
72	0.7750	0.7746	0.600000	4.001e-4	4.000e-4	1.038e-7	4.556e-4	-4.556e-4
73	0.7748	0.7751	0.600000	4.000e-4	4.000e-4	4.649e-8	-3.049e-4	3.049e-4
74	0.7746	0.7755	0.600000	4.004e-4	4.000e-4	3.517e-7	-8.386e-4	8.386e-4
75	0.7746	0.7755	0.600000	4.004e-4	4.000e-4	3.972e-7	-8.913e-4	8.913e-4
76	0.7748	0.7753	0.600000	4.001e-4	4.000e-4	1.142e-7	-4.780e-4	4.780e-4
77	0.7750	0.7749	0.600000	4.000e-4	4.000e-4	1.059e-8	1.456e-4	-1.456e-4
78	0.7752	0.7745	0.600000	4.002e-4	4.000e-4	2.011e-7	6.341e-4	-6.341e-4
79	0.7752	0.7745	0.600000	4.003e-4	4.000e-4	2.753e-7	7.421e-4	-7.421e-4
80	0.7751	0.7747	0.600000	4.001e-4	4.000e-4	9.931e-8	4.457e-4	-4.457e-4
81	0.7750	0.7750	0.600000	4.000e-4	4.000e-4	1.870e-9	-6.115e-5	6.115e-5
82	0.7748	0.7753	0.600000	4.001e-4	4.000e-4	1.187e-7	-4.873e-4	4.873e-4
83	0.7748	0.7754	0.600000	4.002e-4	4.000e-4	1.856e-7	-6.093e-4	6.093e-4
84	0.7749	0.7753	0.600000	4.001e-4	4.000e-4	7.524e-8	-3.879e-4	3.879e-4
85	0.7750	0.7750	0.600000	4.000e-4	4.000e-4	3.193e-10	2.527e-5	-2.527e-5
86	0.7752	0.7748	0.600000	4.001e-4	4.000e-4	7.431e-8	3.855e-4	-3.855e-4
87	0.7752	0.7747	0.600000	4.001e-4	4.000e-4	1.239e-7	4.978e-4	-4.978e-4
88	0.7751	0.7748	0.600000	4.001e-4	4.000e-4	5.168e-8	3.215e-4	-3.215e-4
89	0.7750	0.7751	0.600000	4.000e-4	4.000e-4	1.718e-10	-1.854e-5	1.854e-5
90	0.7749	0.7753	0.600000	4.000e-4	4.000e-4	4.990e-8	-3.159e-4	3.159e-4
91	0.7749	0.7753	0.600000	4.001e-4	4.000e-4	8.228e-8	-4.057e-4	4.057e-4
92	0.7750	0.7752	0.600000	4.000e-4	4.000e-4	3.256e-8	-2.552e-4	2.552e-4
93	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	3.841e-10	2.772e-5	-2.772e-5
94	0.7751	0.7749	0.600000	4.000e-4	4.000e-4	3.583e-8	2.677e-4	-2.677e-4
95	0.7752	0.7748	0.600000	4.001e-4	4.000e-4	5.422e-8	3.293e-4	-3.293e-4
96	0.7751	0.7749	0.600000	4.000e-4	4.000e-4	1.858e-8	1.928e-4	-1.928e-4
97	0.7750	0.7751	0.600000	4.000e-4	4.000e-4	9.701e-10	-4.405e-5	4.405e-5
98	0.7750	0.7752	0.600000	4.000e-4	4.000e-4	2.698e-8	-2.323e-4	2.323e-4
99	0.7750	0.7752	0.600000	4.000e-4	4.000e-4	3.503e-8	-2.647e-4	2.647e-4
100	0.7750	0.7752	0.600000	4.000e-4	4.000e-4	9.259e-9	-1.361e-4	1.361e-4
101	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	1.918e-9	6.193e-5	-6.193e-5
102	0.7751	0.7749	0.600000	4.000e-4	4.000e-4	2.075e-8	2.037e-4	-2.037e-4
103	0.7751	0.7749	0.600000	4.000e-4	4.000e-4	2.174e-8	2.085e-4	-2.085e-4
104	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	3.683e-9	8.583e-5	-8.583e-5
105	0.7750	0.7751	0.600000	4.000e-4	4.000e-4	3.021e-9	-7.772e-5	7.772e-5
106	0.7750	0.7752	0.600000	4.000e-4	4.000e-4	1.582e-8	-1.779e-4	1.779e-4
107	0.7750	0.7752	0.600000	4.000e-4	4.000e-4	1.255e-8	-1.584e-4	1.584e-4
108	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.980e-10	-4.238e-5	4.238e-5
109	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	3.965e-9	8.905e-5	-8.905e-5
110	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	1.156e-8	1.521e-4	-1.521e-4
111	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	6.399e-9	1.131e-4	-1.131e-4
112	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.958e-11	6.258e-6	-6.258e-6
113	0.7750	0.7751	0.600000	4.000e-4	4.000e-4	4.451e-9	-9.435e-5	9.435e-5
114	0.7750	0.7752	0.600000	4.000e-4	4.000e-4	7.811e-9	-1.250e-4	1.250e-4
115	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.618e-9	-7.236e-5	7.236e-5
116	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.393e-10	2.187e-5	-2.187e-5
117	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	4.317e-9	9.292e-5	-9.292e-5
118	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	4.673e-9	9.668e-5	-9.668e-5
119	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	6.762e-10	3.678e-5	-3.678e-5
120	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.630e-10	-4.154e-5	4.154e-5
121	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	3.607e-9	-8.494e-5	8.494e-5
122	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.300e-9	-6.783e-5	6.783e-5
123	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.601e-11	-7.212e-6	7.212e-6
124	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	1.372e-9	5.239e-5	-5.239e-5
125	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	2.528e-9	7.111e-5	-7.111e-5
126	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.022e-10	4.005e-5	-4.005e-5
127	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.146e-10	-1.514e-5	1.514e-5
128	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.497e-9	-5.472e-5	5.472e-5
129	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.410e-9	-5.311e-5	5.311e-5
130	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.164e-10	-1.526e-5	1.526e-5
131	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	4.353e-10	2.950e-5	-2.950e-5
132	0.7751	0.7750	0.600000	4.000e-4	4.000e-4	1.227e-9	4.953e-5	-4.953e-5
133	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	5.511e-10	3.320e-5	-3.320e-5
134	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.081e-11	-4.649e-6	4.649e-6
135	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	6.331e-10	-3.558e-5	3.558e-5
136	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	7.436e-10	-3.856e-5	3.856e-5
137	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	9.894e-11	-1.407e-5	1.407e-5
138	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.620e-10	1.800e-5	-1.800e-5
139	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	5.853e-10	3.421e-5	-3.421e-5
140	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.986e-10	2.444e-5	-2.444e-5
141	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.819e-12	-1.907e-6	1.907e-6
142	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.957e-10	-2.432e-5	2.432e-5
143	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	3.645e-10	-2.700e-5	2.700e-5
144	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	4.895e-11	-9.894e-6	9.894e-6
145	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.135e-11	1.276e-5	-1.276e-5
146	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.856e-10	2.390e-5	-2.390e-5
147	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.353e-10	1.645e-5	-1.645e-5
148	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.842e-12	-2.384e-6	2.384e-6
149	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.546e-10	-1.758e-5	1.758e-5
150	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.674e-10	-1.830e-5	1.830e-5
151	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.439e-11	-5.364e-6	5.364e-6
152	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	5.316e-11	1.031e-5	-1.031e-5
153	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.413e-10	1.681e-5	-1.681e-5
154	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	5.014e-11	1.001e-5	-1.001e-5
155	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	6.610e-12	-3.636e-6	3.636e-6
156	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.755e-11	-1.323e-5	1.323e-5
157	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	7.105e-11	-1.192e-5	1.192e-5
158	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.295e-12	-1.609e-6	1.609e-6
159	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	3.997e-11	8.941e-6	-8.941e-6
160	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	6.685e-11	1.156e-5	-1.156e-5
161	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.283e-11	5.066e-6	-5.066e-6
162	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.109e-11	-4.709e-6	4.709e-6
163	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	4.895e-11	-9.894e-6	9.894e-6
164	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.390e-11	-6.914e-6	6.914e-6
165	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	7.105e-13	1.192e-6	-1.192e-6
166	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.865e-11	7.570e-6	-7.570e-6
167	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.731e-11	7.391e-6	-7.391e-6
168	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.023e-12	1.431e-6	-1.431e-6
169	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.283e-11	-5.066e-6	5.066e-6
170	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.390e-11	-6.914e-6	6.914e-6
171	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	4.990e-12	-3.159e-6	3.159e-6
172	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	3.924e-12	2.801e-6	-2.801e-6
173	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.776e-11	5.960e-6	-5.960e-6
174	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.214e-12	4.053e-6	-4.053e-6
175	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	4.547e-13	-9.537e-7	9.537e-7
176	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.109e-11	-4.709e-6	4.709e-6
177	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	9.209e-12	-4.292e-6	4.292e-6
178	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.704e-14	-4.172e-7	4.172e-7
179	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	5.771e-12	3.397e-6	-3.397e-6
180	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.457e-12	4.113e-6	-4.113e-6
181	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.598e-13	1.311e-6	-1.311e-6
182	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.565e-12	-2.265e-6	2.265e-6
183	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	6.395e-12	-3.576e-6	3.576e-6
184	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.707e-12	-1.848e-6	1.848e-6
185	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	7.834e-13	1.252e-6	-1.252e-6
186	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	4.441e-12	2.980e-6	-2.980e-6
187	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.176e-12	2.086e-6	-2.086e-6
188	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.137e-13	-4.768e-7	4.768e-7
189	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.842e-12	-2.384e-6	2.384e-6
190	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.176e-12	-2.086e-6	2.086e-6
191	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.776e-15	-5.960e-8	5.960e-8
192	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.599e-12	1.788e-6	-1.788e-6
193	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.934e-12	1.967e-6	-1.967e-6
194	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.137e-13	4.768e-7	-4.768e-7
195	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	8.598e-13	-1.311e-6	1.311e-6
196	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.707e-12	-1.848e-6	1.848e-6
197	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	2.558e-13	-7.153e-7	7.153e-7
198	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	4.547e-13	9.537e-7	-9.537e-7
199	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	1.393e-12	1.669e-6	-1.669e-6
200	0.7751	0.7751	0.600000	4.000e-4	4.000e-4	3.002e-13	7.749e-7	-7.749e-7

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rlx-eda multi-parameter CMOS inverter optimization (Adam)

Optimization outcome

Rendered charts

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A) Loss decomposition

B) Threshold trajectories

C) V_m tracking vs target

D) Per-parameter gradients

Step-by-step trace