Average Error: 3.4 → 1.7
Time: 2.5s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z) {
	return x * (1.0 - (y * z));
}
double code(double x, double y, double z) {
	double tmp;
	if ((y * z) <= -1.0593544574333041e+293) {
		tmp = (x * 1.0) - (z * (y * x));
	} else {
		tmp = (x * 1.0) - ((y * z) * x);
	}
	return tmp;
}

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) < -1.0593544574333041e293

    1. Initial program 53.9

      \[\]
    2. Using strategy rm
    3. Applied sub-neg53.9

      \[\leadsto \]
    4. Applied distribute-lft-in53.9

      \[\leadsto \]
    5. Using strategy rm
    6. Applied distribute-lft-neg-in53.9

      \[\leadsto \]
    7. Applied associate-*r*0.3

      \[\leadsto \]

    if -1.0593544574333041e293 < (* y z)

    1. Initial program 1.7

      \[\]
    2. Using strategy rm
    3. Applied sub-neg1.7

      \[\leadsto \]
    4. Applied distribute-lft-in1.7

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.7

    \[\leadsto \]

Reproduce

herbie shell --seed 2020338 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  :precision binary64
  (* x (- 1.0 (* y z))))