Average Error: 10.7 → 1.4
Time: 8.3s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (((double) (y - z)) * t)) / ((double) (a - z))))));
}

↓
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if ((t <= -3.460612792019781e+27)) {
		VAR = ((double) (x + ((double) (((double) (((double) (((double) (y - z)) / ((double) pow(((double) cbrt(((double) (a - z)))), 2.0)))) * ((double) (((double) cbrt(t)) * ((double) (((double) cbrt(t)) / ((double) cbrt(((double) pow(((double) cbrt(((double) (a - z)))), 2.0)))))))))) * ((double) (((double) (((double) cbrt(((double) cbrt(t)))) * ((double) (((double) cbrt(((double) cbrt(t)))) * ((double) cbrt(((double) cbrt(t)))))))) / ((double) cbrt(((double) cbrt(((double) (a - z))))))))))));
	} else {
		double VAR_1;
		if ((t <= 3.4738956651351627e+75)) {
			VAR_1 = ((double) (x + ((double) (((double) (t * ((double) (y - z)))) * ((double) (1.0 / ((double) (a - z))))))));
		} else {
			VAR_1 = ((double) (x + ((double) (((double) (((double) (y - z)) / ((double) (((double) cbrt(((double) (a - z)))) * ((double) cbrt(((double) (a - z)))))))) * ((double) (t / ((double) cbrt(((double) (a - z))))))))));
		}
		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
Original10.7
Target0.6
Herbie1.4
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  t  < -3.46061279201978127e27
    1. Initial program 24.6
      \[\]
    2. Simplified3.2
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt3.9
      \[\leadsto \]
    5. Applied *-un-lft-identity3.9
      \[\leadsto \]
    6. Applied times-frac3.9
      \[\leadsto \]
    7. Applied associate-*r*2.0
      \[\leadsto \]
    8. Simplified2.0
      \[\leadsto \]
    9. Using strategy rm
    10. Applied add-cube-cbrt2.0
      \[\leadsto \]
    11. Applied cbrt-prod2.1
      \[\leadsto \]
    12. Applied add-cube-cbrt2.2
      \[\leadsto \]
    13. Applied times-frac2.2
      \[\leadsto \]
    14. Applied associate-*r*1.3
      \[\leadsto \]
    15. Simplified1.3
      \[\leadsto \]
    16. Using strategy rm
    17. Applied add-cube-cbrt1.4
      \[\leadsto \]
    if -3.46061279201978127e27 <  t  < 3.4738956651351627e75
    1. Initial program 1.1
      \[\]
    2. Simplified3.0
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-inv3.0
      \[\leadsto \]
    5. Applied associate-*r*1.2
      \[\leadsto \]
    if 3.4738956651351627e75 <  t 
    1. Initial program 29.1
      \[\]
    2. Simplified3.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt4.1
      \[\leadsto \]
    5. Applied *-un-lft-identity4.1
      \[\leadsto \]
    6. Applied times-frac4.1
      \[\leadsto \]
    7. Applied associate-*r*2.0
      \[\leadsto \]
    8. Simplified2.0
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification1.4
    \[\leadsto \]
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, A"
  :precision binary64

  :herbie-target
  (if (< t -1.0682974490174067e-39) (+ x (* (/ (- y z) (- a z)) t)) (if (< t 3.9110949887586375e-141) (+ x (/ (* (- y z) t) (- a z))) (+ x (* (/ (- y z) (- a z)) t))))

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