Average Error: 2.3 → 0.8
Time: 4.1s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t) {
	return ((double) (((double) (((double) (x - y)) / ((double) (z - y)))) * t));
}
double code(double x, double y, double z, double t) {
	double VAR;
	if ((((double) (((double) (x - y)) / ((double) (z - y)))) <= -1.64977974968708e+231)) {
		VAR = ((double) (((double) (x - y)) / ((double) (((double) (z - y)) / t))));
	} else {
		double VAR_1;
		if ((((double) (((double) (x - y)) / ((double) (z - y)))) <= -1.075489859696683e-142)) {
			VAR_1 = ((double) (((double) (((double) (x - y)) / ((double) (z - y)))) * t));
		} else {
			double VAR_2;
			if ((((double) (((double) (x - y)) / ((double) (z - y)))) <= 0.0)) {
				VAR_2 = ((double) (((double) (x - y)) * ((double) (t / ((double) (z - y))))));
			} else {
				double VAR_3;
				if ((((double) (((double) (x - y)) / ((double) (z - y)))) <= 3.6281059293964274e+68)) {
					VAR_3 = ((double) (((double) (((double) (x - y)) / ((double) (z - y)))) * t));
				} else {
					VAR_3 = ((double) (((double) (x - y)) / ((double) (((double) (z - y)) / t))));
				}
				VAR_2 = VAR_3;
			}
			VAR_1 = VAR_2;
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original2.3
Target2.3
Herbie0.8
\[\]

Derivation

  1. Split input into 3 regimes
  2. if (/ (- x y) (- z y)) < -1.64977974968708e231 or 3.62810592939642737e68 < (/ (- x y) (- z y))

    1. Initial program 11.8

      \[\]
    2. Using strategy rm
    3. Applied associate-*l/4.3

      \[\leadsto \]
    4. Using strategy rm
    5. Applied associate-/l*5.0

      \[\leadsto \]

    if -1.64977974968708e231 < (/ (- x y) (- z y)) < -1.075489859696683e-142 or 0.0 < (/ (- x y) (- z y)) < 3.62810592939642737e68

    1. Initial program 0.2

      \[\]

    if -1.075489859696683e-142 < (/ (- x y) (- z y)) < 0.0

    1. Initial program 9.1

      \[\]
    2. Simplified1.4

      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.8

    \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"
  :precision binary64

  :herbie-target
  (/ t (/ (- z y) (- x y)))

  (* (/ (- x y) (- z y)) t))