Average Error: 3.4 → 0.2
Time: 2.7s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z) {
	return ((double) (x * ((double) (1.0 - ((double) (y * z))))));
}
double code(double x, double y, double z) {
	double VAR;
	if (((((double) (y * z)) <= -1.1028107517664594e+237) || !(((double) (y * z)) <= 6.992221876406445e+268))) {
		VAR = ((double) (((double) (x * 1.0)) - ((double) (z * ((double) (y * x))))));
	} else {
		VAR = ((double) (((double) (x * 1.0)) - ((double) (((double) (y * z)) * x))));
	}
	return VAR;
}

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

Derivation

  1. Split input into 2 regimes
  2. if (* y z) < -1.10281075176645937e237 or 6.9922218764064455e268 < (* y z)

    1. Initial program 37.2

      \[\]
    2. Using strategy rm
    3. Applied sub-neg37.2

      \[\leadsto \]
    4. Applied distribute-lft-in37.2

      \[\leadsto \]
    5. Simplified37.2

      \[\leadsto \]
    6. Using strategy rm
    7. Applied associate-*r*0.8

      \[\leadsto \]

    if -1.10281075176645937e237 < (* y z) < 6.9922218764064455e268

    1. Initial program 0.1

      \[\]
    2. Using strategy rm
    3. Applied sub-neg0.1

      \[\leadsto \]
    4. Applied distribute-lft-in0.1

      \[\leadsto \]
    5. Simplified0.1

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1.0 (* y z))))