Average Error: 24.8 → 7.9
Time: 7.8s
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 ((((double) exp(z)) <= 0.9999997033391638)) {
		VAR = ((double) (x - ((double) (((double) log(((double) (1.0 + ((double) (((double) (((double) (((double) cbrt(y)) * ((double) cbrt(y)))) * ((double) (((double) exp(z)) * ((double) cbrt(y)))))) - y)))))) / t))));
	} else {
		VAR = ((double) (x - ((double) (((double) (((double) log(1.0)) / t)) + ((double) (1.0 * ((double) (y * ((double) (z / t))))))))));
	}
	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
Original24.8
Target16.2
Herbie7.9
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  (exp z)  < 0.99999970333916377
    1. Initial program 11.3
      \[\]
    2. Simplified11.3
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt11.3
      \[\leadsto \]
    5. Applied associate-*l*11.3
      \[\leadsto \]
    6. Simplified11.3
      \[\leadsto \]
    if 0.99999970333916377 <  (exp z) 
    1. Initial program 30.7
      \[\]
    2. Simplified15.7
      \[\leadsto \]
    3. Taylor expanded around 0 7.1
      \[\leadsto \]
    4. Simplified6.3
      \[\leadsto \]
    5. Using strategy rm
    6. Applied add-cube-cbrt6.5
      \[\leadsto \]
    7. Applied *-un-lft-identity6.5
      \[\leadsto \]
    8. Applied times-frac6.5
      \[\leadsto \]
    9. Applied associate-*r*8.0
      \[\leadsto \]
    10. Simplified8.0
      \[\leadsto \]
    11. Taylor expanded around 0 7.1
      \[\leadsto \]
    12. Simplified6.4
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification7.9
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(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)))