Average Error: 3.4 → 1.7
Time: 2.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z) {
	return ((double) (x * ((double) (1.0 - ((double) (((double) (1.0 - y)) * z))))));
}

↓
double code(double x, double y, double z) {
	return ((double) (((double) (x * 1.0)) + ((double) (((double) (x * z)) * ((double) (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
Target0.2
Herbie1.7
\[\]
Derivation
  1. Initial program 3.4
    \[\]
  2. Using strategy rm
  3. Applied sub-neg3.4
    \[\leadsto \]
  4. Applied distribute-lft-in3.4
    \[\leadsto \]
  5. Simplified3.4
    \[\leadsto \]
  6. Using strategy rm
  7. Applied associate-*r*3.6
    \[\leadsto \]
  8. Taylor expanded around inf 3.4
    \[\leadsto \]
  9. Simplified1.7
    \[\leadsto \]
  10. Final simplification1.7
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(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))))