Average Error: 25.1 → 25.1
Time: 1.7s
Precision: binary64
\[\mathsf{min}\left(\sin \left(x + 1\right), \cos \left(x - 1\right)\right)\]
↓
\[\mathsf{min}\left(\sin \left(x + 1\right), \cos \left(x - 1\right)\right)\]
\mathsf{min}\left(\sin \left(x + 1\right), \cos \left(x - 1\right)\right)
↓
\mathsf{min}\left(\sin \left(x + 1\right), \cos \left(x - 1\right)\right)
double code(double x) {
	return ((double) fmin(((double) sin(((double) (x + 1.0)))), ((double) cos(((double) (x - 1.0))))));
}
↓
double code(double x) {
	return ((double) fmin(((double) sin(((double) (x + 1.0)))), ((double) cos(((double) (x - 1.0))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 25.1

    \[\mathsf{min}\left(\sin \left(x + 1\right), \cos \left(x - 1\right)\right)\]

  2. Final simplification25.1

    \[\leadsto \mathsf{min}\left(\sin \left(x + 1\right), \cos \left(x - 1\right)\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(fmin (sin (+ x 1)) (cos (- x 1)))"
  :precision binary64
  (fmin (sin (+ x 1.0)) (cos (- x 1.0))))