Average Error: 3.4 → 3.3
Time: 6.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return x * (1.0 - ((1.0 - y) * z));
}

↓
double code(double x, double y, double z) {
	return (cbrt(x) * cbrt(x)) * ((1.0 * (cbrt(1.0 / (-1.0 / x)) * cbrt(-1.0))) + ((cbrt(1.0 / (-1.0 / x)) * (cbrt(-1.0) * z)) * (y - 1.0)));
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original3.4
Target0.3
Herbie3.3
\[\]
Derivation
  1. Initial program 3.4
    \[\]
  2. Using strategy rm
  3. Applied add-cube-cbrt4.6
    \[\leadsto \]
  4. Applied associate-*l*4.7
    \[\leadsto \]
  5. Simplified4.7
    \[\leadsto \]
  6. Taylor expanded around -inf 34.9
    \[\leadsto \]
  7. Simplified3.3
    \[\leadsto \]
  8. Final simplification3.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020338 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J"
  :precision binary64

  :herbie-target
  (if (< (* x (- 1.0 (* (- 1.0 y) z))) -1.618195973607049e+50) (+ x (* (- 1.0 y) (* (neg z) x))) (if (< (* x (- 1.0 (* (- 1.0 y) z))) 3.892237649663903e+134) (- (* (* x y) z) (- (* x z) x)) (+ x (* (- 1.0 y) (* (neg z) x)))))

  (* x (- 1.0 (* (- 1.0 y) z))))