Average Error: 9.0 → 0.1
Time: 4.3s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x / y)) + ((double) (((double) (2.0 + ((double) (((double) (z * 2.0)) * ((double) (1.0 - t)))))) / ((double) (t * z))))));
}
double code(double x, double y, double z, double t) {
	double VAR;
	if (((z <= -341.0561137693704) || !(z <= 30765957833168924.0))) {
		VAR = ((double) (((double) (x / y)) + ((double) (((double) (((double) sqrt(((double) (((double) (1.0 / z)) + 1.0)))) * ((double) (2.0 * ((double) (((double) sqrt(((double) (((double) (1.0 / z)) + 1.0)))) / t)))))) - 2.0))));
	} else {
		VAR = ((double) (((double) (x / y)) + ((double) (((double) (2.0 + ((double) (((double) (z * 2.0)) * ((double) (1.0 - t)))))) / ((double) (z * t))))));
	}
	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

Original9.0
Target0.1
Herbie0.1
\[\]

Derivation

  1. Split input into 2 regimes
  2. if z < -341.05611376937043 or 30765957833168924 < z

    1. Initial program 16.2

      \[\]
    2. Simplified0.0

      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-sqr-sqrt0.0

      \[\leadsto \]
    5. Applied associate-*r*0.0

      \[\leadsto \]
    6. Simplified0.0

      \[\leadsto \]

    if -341.05611376937043 < z < 30765957833168924

    1. Initial program 0.2

      \[\]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (x y z t)
  :name "Data.HashTable.ST.Basic:computeOverhead from hashtables-1.2.0.2"
  :precision binary64

  :herbie-target
  (- (/ (+ (/ 2.0 z) 2.0) t) (- 2.0 (/ x y)))

  (+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))))