Average Error: 15.3 → 9.8
Time: 9.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (y - z)) * ((double) (((double) (t - x)) / ((double) (a - z))))))));
}

↓
double code(double x, double y, double z, double t, double a) {
	double VAR;
	if ((a <= -2.0863673875242188e-71)) {
		VAR = ((double) (x + ((double) (((double) (t - x)) / ((double) (((double) (a - z)) / ((double) (y - z))))))));
	} else {
		double VAR_1;
		if ((a <= 1.8196327346072498e-125)) {
			VAR_1 = ((double) (t + ((double) (((double) (y / z)) * ((double) (x - t))))));
		} else {
			VAR_1 = ((double) (x + ((double) (((double) (((double) (y - z)) / ((double) (((double) cbrt(((double) (a - z)))) * ((double) cbrt(((double) (a - z)))))))) * ((double) (((double) (t - x)) / ((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
Derivation
  1. Split input into 3 regimes
  2. if  a  < -2.0863673875242188e-71
    1. Initial program 10.3
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt10.7
      \[\leadsto \]
    4. Applied *-un-lft-identity10.7
      \[\leadsto \]
    5. Applied times-frac10.7
      \[\leadsto \]
    6. Applied associate-*r*8.8
      \[\leadsto \]
    7. Simplified8.8
      \[\leadsto \]
    8. Using strategy rm
    9. Applied pow18.8
      \[\leadsto \]
    10. Applied pow18.8
      \[\leadsto \]
    11. Applied pow-prod-down8.8
      \[\leadsto \]
    12. Simplified8.3
      \[\leadsto \]
    13. Using strategy rm
    14. Applied clear-num8.4
      \[\leadsto \]
    15. Using strategy rm
    16. Applied associate-*l/8.3
      \[\leadsto \]
    17. Simplified8.3
      \[\leadsto \]
    if -2.0863673875242188e-71 <  a  < 1.81963273460724978e-125
    1. Initial program 24.8
      \[\]
    2. Taylor expanded around inf 15.8
      \[\leadsto \]
    3. Simplified11.5
      \[\leadsto \]
    if 1.81963273460724978e-125 <  a 
    1. Initial program 11.4
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt11.9
      \[\leadsto \]
    4. Applied *-un-lft-identity11.9
      \[\leadsto \]
    5. Applied times-frac11.9
      \[\leadsto \]
    6. Applied associate-*r*9.7
      \[\leadsto \]
    7. Simplified9.7
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification9.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x y z t a)
  :name "Numeric.Signal:interpolate   from hsignal-0.2.7.1"
  :precision binary64
  (+ x (* (- y z) (/ (- t x) (- a z)))))