jax.grad(jax.nn.softplus)(0.0) evaluates to 0.0, which is definitely wrong -- the right answer is 0.5.
This is easy to visualize:
import matplotlib.pyplot as plt x = jax.numpy.linspace(-2, 2, num=101) plt.plot(x, jax.vmap(jax.grad(jax.nn.softplus))(x))
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