Average Error: 16.2 → 6.6
Time: 5.3s
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) {
	return ((double) (x + ((double) (y + ((double) (((double) (((double) cbrt(((double) (z - t)))) / ((double) cbrt(((double) (t - a)))))) * ((double) (y * ((double) (((double) (((double) cbrt(((double) (z - t)))) / ((double) cbrt(((double) (t - a)))))) * ((double) (((double) cbrt(((double) (z - t)))) / ((double) cbrt(((double) (t - a))))))))))))))));
}

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
Target8.0
Herbie6.6
\[\]
Derivation
  1. Initial program 16.2
    \[\]
  2. Simplified7.4
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt10.6
    \[\leadsto \]
  5. Applied add-cube-cbrt7.6
    \[\leadsto \]
  6. Applied times-frac7.6
    \[\leadsto \]
  7. Applied associate-*r*6.6
    \[\leadsto \]
  8. Simplified6.6
    \[\leadsto \]
  9. Final simplification6.6
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(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))))