Average Error: 4.3 → 0.3
Time: 5.9s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (x * ((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z))))))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if ((((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z)))))) <= -inf.0)) {
		VAR = ((double) (((double) (x * ((double) (((double) (y * ((double) (1.0 - z)))) - ((double) (z * t)))))) / ((double) (z * ((double) (1.0 - z))))));
	} else {
		double VAR_1;
		if ((((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z)))))) <= -4.941620434958852e-212)) {
			VAR_1 = ((double) (((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z)))))) * x));
		} else {
			double VAR_2;
			if ((((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z)))))) <= 8.264297748798664e-302)) {
				VAR_2 = ((double) (((double) (x / z)) * ((double) (y + ((double) (t + ((double) (t * ((double) (1.0 / z))))))))));
			} else {
				double VAR_3;
				if ((((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z)))))) <= 1.6972557153997851e+286)) {
					VAR_3 = ((double) (((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z)))))) * x));
				} else {
					VAR_3 = ((double) (((double) (x * ((double) (((double) (y * ((double) (1.0 - z)))) - ((double) (z * t)))))) / ((double) (z * ((double) (1.0 - z))))));
				}
				VAR_2 = VAR_3;
			}
			VAR_1 = VAR_2;
		}
		VAR = VAR_1;
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Bits error versus z
Bits error versus t
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original4.3
Target3.8
Herbie0.3
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  (- (/ y z) (/ t (- 1.0 z)))  < -inf.0 or 1.6972557153997851e286 <  (- (/ y z) (/ t (- 1.0 z))) 
    1. Initial program 52.0
      \[\]
    2. Using strategy rm
    3. Applied frac-sub52.3
      \[\leadsto \]
    4. Applied associate-*r/0.5
      \[\leadsto \]
    if -inf.0 <  (- (/ y z) (/ t (- 1.0 z)))  < -4.94162043495885169e-212 or 8.264297748798664e-302 <  (- (/ y z) (/ t (- 1.0 z)))  < 1.6972557153997851e286
    1. Initial program 0.2
      \[\]
    if -4.94162043495885169e-212 <  (- (/ y z) (/ t (- 1.0 z)))  < 8.264297748798664e-302
    1. Initial program 11.6
      \[\]
    2. Taylor expanded around inf 0.8
      \[\leadsto \]
    3. Simplified0.9
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x y z t)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, C"
  :precision binary64

  :herbie-target
  (if (< (* x (- (/ y z) (/ t (- 1.0 z)))) -7.623226303312042e-196) (* x (- (/ y z) (* t (/ 1.0 (- 1.0 z))))) (if (< (* x (- (/ y z) (/ t (- 1.0 z)))) 1.4133944927702302e-211) (+ (/ (* y x) z) (neg (/ (* t x) (- 1.0 z)))) (* x (- (/ y z) (* t (/ 1.0 (- 1.0 z)))))))

  (* x (- (/ y z) (/ t (- 1.0 z)))))