Average Error: 25.0 → 8.3
Time: 13.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (x - ((double) (((double) log(((double) (((double) (1.0 - y)) + ((double) (y * ((double) exp(z)))))))) / t))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if ((z <= -1.1970149978622335e-08)) {
		VAR = ((double) (x + ((double) (((double) log(((double) (1.0 + ((double) (((double) (y * ((double) exp(z)))) - y)))))) * ((double) (-1.0 / t))))));
	} else {
		double VAR_1;
		if ((z <= 4.0973833117696044e-84)) {
			VAR_1 = ((double) (x - ((double) (((double) (1.0 * ((double) (y * ((double) (z / t)))))) + ((double) (((double) log(1.0)) / t))))));
		} else {
			VAR_1 = ((double) (x - ((double) (((double) log(((double) (1.0 + ((double) (y * ((double) (((double) (0.16666666666666666 * ((double) pow(z, 3.0)))) + ((double) (z + ((double) (z * ((double) (z * 0.5)))))))))))))) / t))));
		}
		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
Original25.0
Target16.6
Herbie8.3
\[\]
Derivation
  1. Split input into 3 regimes
  2. if  z  < -1.19701499786223348e-8
    1. Initial program 12.3
      \[\]
    2. Simplified12.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied div-inv12.4
      \[\leadsto \]
    if -1.19701499786223348e-8 <  z  < 4.09738331176960443e-84
    1. Initial program 30.5
      \[\]
    2. Simplified15.2
      \[\leadsto \]
    3. Taylor expanded around 0 6.4
      \[\leadsto \]
    4. Simplified5.3
      \[\leadsto \]
    if 4.09738331176960443e-84 <  z 
    1. Initial program 31.5
      \[\]
    2. Simplified23.0
      \[\leadsto \]
    3. Taylor expanded around 0 14.1
      \[\leadsto \]
    4. Simplified14.1
      \[\leadsto \]
  3. Recombined 3 regimes into one program.
  4. Final simplification8.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z t)
  :name "System.Random.MWC.Distributions:truncatedExp from mwc-random-0.13.3.2"
  :precision binary64

  :herbie-target
  (if (< z -2.8874623088207947e+119) (- (- x (/ (/ (neg 0.5) (* y t)) (* z z))) (* (/ (neg 0.5) (* y t)) (/ (/ 2.0 z) (* z z)))) (- x (/ (log (+ 1.0 (* z y))) t)))

  (- x (/ (log (+ (- 1.0 y) (* y (exp z)))) t)))