Average Error: 3.3 → 0.3
Time: 2.8s
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)) <= -7.72929198135795e+194) || !(((double) (y * z)) <= 1.593986744441868e+153))) {
		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) < -7.7292919813579506e194 or 1.5939867444418681e153 < (* y z)

    1. Initial program 21.9

      \[\]
    2. Using strategy rm
    3. Applied sub-neg21.9

      \[\leadsto \]
    4. Applied distribute-lft-in21.9

      \[\leadsto \]
    5. Simplified21.9

      \[\leadsto \]
    6. Using strategy rm
    7. Applied associate-*r*1.5

      \[\leadsto \]

    if -7.7292919813579506e194 < (* y z) < 1.5939867444418681e153

    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 simplification0.3

    \[\leadsto \]

Reproduce

herbie shell --seed 2020190 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1.0 (* y z))))