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;
}




Bits error versus x




Bits error versus y




Bits error versus z




Bits error versus t




Bits error versus a
Results
| Original | 16.2 |
|---|---|
| Target | 8.5 |
| Herbie | 8.8 |
if a < -2.451321500401816e-141Initial program 14.8
Simplified6.6
rmApplied add-cube-cbrt8.9
if -2.451321500401816e-141 < a < 1.84262163214658305e-51Initial program 19.6
Simplified11.7
Taylor expanded around inf 11.2
Simplified10.8
if 1.84262163214658305e-51 < a Initial program 14.2
Simplified4.9
rmApplied add-cube-cbrt6.6
rmApplied add-cube-cbrt6.8
Final simplification8.8
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))))