mish

std.elementwise.mish · Level L1

Mish: x · tanh(softplus(x)). Calls softplus.

x·tanh(softplus(x))

Signature

mish(x: f64[n]) → f64[n]

Structure

The function as NOVA stores it: one box per input, operation and output, and arrows that carry values. A double border marks a call to another library function; select it to open that function.

xf64[n]softplusspTanhtMultiplyyyf64[n]
  • input
  • operation
  • constant
  • call
  • output

Verification

  • Signature proven by NOVA’s shape solver, for every size.
  • Agrees with the reference x * np.tanh(np.log(1 + np.exp(x))) to 80 digits (100-digit arithmetic), on all 40 test cases.
  • All 144 float64 results inside the running error bound; the closest uses 90% of it.
  • Interpreter and NumPy backend return bit-identical results.
Accuracy in detail
correctly rounded (the float64 nearest the exact value)
52%
bit-equal to the NumPy formula in float64
94%
largest error, in units in the last place
2.0e+3

Large ulp counts appear only where cancellation drives a result toward zero; the absolute error is still inside the bound.

Identity

Calls
softplus
Called by
—
sha256:7665a8521240fa5e1c170971a88e4591b88ebd0ed7134126924bb03b1fbb851e

The semantic hash of the graph. It changes when the program changes, and never when only its documentation does.