Average Error: 16.6 → 8.8
Time: 9.4s
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 <= -2.821201449218278e-121) || !(a <= 5.263488268156357e-155))) {
		VAR = ((double) (x + ((double) (y + ((double) (((double) cbrt(((double) (y * ((double) (((double) (t - z)) / ((double) (a - t)))))))) * ((double) (((double) cbrt(((double) (y * ((double) (((double) (t - z)) / ((double) (a - t)))))))) * ((double) cbrt(((double) (y * ((double) (((double) (t - z)) / ((double) (a - t))))))))))))))));
	} else {
		VAR = ((double) (x + ((double) (y * ((double) (z / t))))));
	}
	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
Original16.6
Target8.8
Herbie8.8
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  a  < -2.8212014492182781e-121 or 5.263488268156357e-155 <  a 
    1. Initial program 15.3
      \[\]
    2. Simplified6.0
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt8.5
      \[\leadsto \]
    if -2.8212014492182781e-121 <  a  < 5.263488268156357e-155
    1. Initial program 20.3
      \[\]
    2. Simplified11.7
      \[\leadsto \]
    3. Taylor expanded around inf 9.6
      \[\leadsto \]
    4. Simplified9.7
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification8.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(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))))