Average Error: 5.9 → 2.3
Time: 3.9s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (y * ((double) (z - t)))) / a))));
}
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if ((y <= 8.997616379224001e-57)) {
		VAR = ((double) (x + ((double) (((double) (y / a)) * ((double) (z - t))))));
	} else {
		VAR = ((double) (x + ((double) (y * ((double) (((double) (z - t)) / a))))));
	}
	return VAR;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original5.9
Target0.7
Herbie2.3
\[\]

Derivation

  1. Split input into 2 regimes
  2. if y < 8.9976163792240008e-57

    1. Initial program 4.1

      \[\]
    2. Using strategy rm
    3. Applied associate-/l*6.8

      \[\leadsto \]
    4. Using strategy rm
    5. Applied associate-/r/2.6

      \[\leadsto \]

    if 8.9976163792240008e-57 < y

    1. Initial program 11.4

      \[\]
    2. Simplified1.3

      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification2.3

    \[\leadsto \]

Reproduce

herbie shell --seed 2020190 
(FPCore (x y z t a)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, E"
  :precision binary64

  :herbie-target
  (if (< y -1.0761266216389975e-10) (+ x (/ 1.0 (/ (/ a (- z t)) y))) (if (< y 2.894426862792089e-49) (+ x (/ (* y (- z t)) a)) (+ x (/ y (/ a (- z t))))))

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