Average Error: 4.7 → 4.8
Time: 5.5s
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 (((t <= -9.721575127411311e-113) || !(t <= 3.4388482664834895e-121))) {
		VAR = ((double) (x * ((double) (((double) (y / z)) - ((double) (t / ((double) (1.0 - z))))))));
	} else {
		VAR = ((double) (1.0 / ((double) (z / ((double) (x * ((double) (y - ((double) (t * ((double) (z / ((double) (1.0 - z))))))))))))));
	}
	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
Original4.7
Target4.4
Herbie4.8
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  t  < -9.72157512741131107e-113 or 3.4388482664834895e-121 <  t 
    1. Initial program 3.9
      \[\]
    if -9.72157512741131107e-113 <  t  < 3.4388482664834895e-121
    1. Initial program 6.5
      \[\]
    2. Using strategy rm
    3. Applied frac-sub18.0
      \[\leadsto \]
    4. Applied associate-*r/18.9
      \[\leadsto \]
    5. Using strategy rm
    6. Applied clear-num19.1
      \[\leadsto \]
    7. Simplified6.7
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification4.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(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)))))