Average Error: 15.2 → 6.6
Time: 7.2s
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 (((((double) (x + ((double) (((double) (y - z)) * ((double) (((double) (t - x)) / ((double) (a - z)))))))) <= -2.1718124460428677e-301) || !(((double) (x + ((double) (((double) (y - z)) * ((double) (((double) (t - x)) / ((double) (a - z)))))))) <= 2.0370627339380409e-289))) {
		VAR = ((double) (x + ((double) (((double) (((double) cbrt(((double) (t - x)))) / ((double) cbrt(((double) (a - z)))))) * ((double) (((double) (((double) cbrt(((double) (y - z)))) * ((double) cbrt(((double) (y - z)))))) * ((double) (((double) (((double) cbrt(((double) (t - x)))) / ((double) cbrt(((double) (a - z)))))) * ((double) (((double) cbrt(((double) (y - z)))) * ((double) (((double) cbrt(((double) (t - x)))) / ((double) cbrt(((double) (a - z))))))))))))))));
	} else {
		VAR = ((double) (t + ((double) (y * ((double) (((double) (x / z)) - ((double) (t / z))))))));
	}
	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 2 regimes
  2. if  (+ x (* (- y z) (/ (- t x) (- a z))))  < -2.1718124460428677e-301 or 2.03706273393804e-289 <  (+ x (* (- y z) (/ (- t x) (- a z)))) 
    1. Initial program 7.6
      \[\]
    2. Using strategy rm
    3. Applied add-cube-cbrt8.3
      \[\leadsto \]
    4. Applied add-cube-cbrt8.5
      \[\leadsto \]
    5. Applied times-frac8.5
      \[\leadsto \]
    6. Applied associate-*r*4.5
      \[\leadsto \]
    7. Simplified4.5
      \[\leadsto \]
    8. Using strategy rm
    9. Applied add-cube-cbrt4.5
      \[\leadsto \]
    10. Applied associate-*l*4.5
      \[\leadsto \]
    11. Simplified4.2
      \[\leadsto \]
    if -2.1718124460428677e-301 <  (+ x (* (- y z) (/ (- t x) (- a z))))  < 2.03706273393804e-289
    1. Initial program 61.1
      \[\]
    2. Taylor expanded around inf 25.9
      \[\leadsto \]
    3. Simplified20.8
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification6.6
    \[\leadsto \]
Reproduce
herbie shell --seed 2020190 
(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)))))