Average Error: 16.2 → 8.8
Time: 6.9s
Precision: binary64
\[\]
\[\]
double code(double x, double y, double z, double t, double a) {
	return ((double) (((double) (x + y)) - ((double) (((double) (((double) (z - t)) * y)) / ((double) (a - t))))));
}
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if ((a <= -2.4513215004018157e-141)) {
		VAR = ((double) (x + ((double) (y + ((double) (((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a)))))))) * ((double) (((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a)))))))) * ((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a))))))))))))))));
	} else {
		double VAR_1;
		if ((a <= 1.842621632146583e-51)) {
			VAR_1 = ((double) (x + ((double) (y * ((double) (z / t))))));
		} else {
			VAR_1 = ((double) (x + ((double) (y + ((double) (((double) (((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a)))))))) * ((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a)))))))))) * ((double) (((double) cbrt(((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a)))))))))) * ((double) (((double) cbrt(((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a)))))))))) * ((double) cbrt(((double) cbrt(((double) (y * ((double) (((double) (z - t)) / ((double) (t - a))))))))))))))))))));
		}
		VAR = VAR_1;
	}
	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

Original16.2
Target8.5
Herbie8.8
\[\]

Derivation

  1. Split input into 3 regimes
  2. if a < -2.451321500401816e-141

    1. Initial program 14.8

      \[\]
    2. Simplified6.6

      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt8.9

      \[\leadsto \]

    if -2.451321500401816e-141 < a < 1.84262163214658305e-51

    1. Initial program 19.6

      \[\]
    2. Simplified11.7

      \[\leadsto \]
    3. Taylor expanded around inf 11.2

      \[\leadsto \]
    4. Simplified10.8

      \[\leadsto \]

    if 1.84262163214658305e-51 < a

    1. Initial program 14.2

      \[\]
    2. Simplified4.9

      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt6.6

      \[\leadsto \]
    5. Using strategy rm
    6. Applied add-cube-cbrt6.8

      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification8.8

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTick from plot-0.2.3.4, B"
  :precision binary64

  :herbie-target
  (if (< (- (+ x y) (/ (* (- z t) y) (- a t))) -1.3664970889390727e-07) (- (+ y x) (* (* (- z t) (/ 1.0 (- a t))) y)) (if (< (- (+ x y) (/ (* (- z t) y) (- a t))) 1.4754293444577233e-239) (/ (- (* y (- a z)) (* x t)) (- a t)) (- (+ y x) (* (* (- z t) (/ 1.0 (- a t))) y))))

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