Average Error: 0.4 → 0.4
Time: 2.3s
Precision: binary64
\[\frac{\sin y}{\sinh^{-1} \left(\left(x + y\right) - z\right)}\]
↓
\[\frac{\sin y}{\sinh^{-1} \left(\left(x + y\right) - z\right)}\]
\frac{\sin y}{\sinh^{-1} \left(\left(x + y\right) - z\right)}
↓
\frac{\sin y}{\sinh^{-1} \left(\left(x + y\right) - z\right)}
double code(double y, double x, double z) {
	return ((double) (((double) sin(y)) / ((double) asinh(((double) (((double) (x + y)) - z))))));
}
↓
double code(double y, double x, double z) {
	return ((double) (((double) sin(y)) / ((double) asinh(((double) (((double) (x + y)) - z))))));
}

Error

Bits error versus y

Bits error versus x

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[\frac{\sin y}{\sinh^{-1} \left(\left(x + y\right) - z\right)}\]

  2. Final simplification0.4

    \[\leadsto \frac{\sin y}{\sinh^{-1} \left(\left(x + y\right) - z\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y x z)
  :name "(/ (sin y) (asinh (- (+ x y) z)))"
  :precision binary64
  (/ (sin y) (asinh (- (+ x y) z))))