Average Error: 6.2 → 1.7
Time: 5.5s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (x + ((double) (((double) (((double) (y - x)) * z)) / t))));
}

↓
double code(double x, double y, double z, double t) {
	double VAR;
	if ((z <= 9.934223099722942e-57)) {
		VAR = ((double) (x + ((double) (((double) cbrt(((double) (((double) cbrt(z)) / t)))) * ((double) (((double) (y - x)) * ((double) (((double) pow(((double) cbrt(z)), 2.0)) * ((double) (((double) cbrt(((double) (((double) cbrt(z)) / t)))) * ((double) cbrt(((double) (((double) cbrt(z)) / t))))))))))))));
	} else {
		VAR = ((double) (x + ((double) (((double) (((double) (y - x)) / ((double) (((double) cbrt(t)) * ((double) cbrt(t)))))) * ((double) (z / ((double) cbrt(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
Original6.2
Target2.1
Herbie1.7
\[\]
Derivation
  1. Split input into 2 regimes
  2. if  z  < 9.93422309972294151e-57
    1. Initial program 4.6
      \[\]
    2. Simplified1.8
      \[\leadsto \]
    3. Using strategy rm
    4. Applied *-un-lft-identity1.8
      \[\leadsto \]
    5. Applied add-cube-cbrt2.3
      \[\leadsto \]
    6. Applied times-frac2.3
      \[\leadsto \]
    7. Applied associate-*r*3.4
      \[\leadsto \]
    8. Simplified3.4
      \[\leadsto \]
    9. Using strategy rm
    10. Applied add-cube-cbrt3.5
      \[\leadsto \]
    11. Applied associate-*r*3.5
      \[\leadsto \]
    12. Simplified1.7
      \[\leadsto \]
    if 9.93422309972294151e-57 <  z 
    1. Initial program 11.6
      \[\]
    2. Simplified3.1
      \[\leadsto \]
    3. Using strategy rm
    4. Applied add-cube-cbrt3.8
      \[\leadsto \]
    5. Applied *-un-lft-identity3.8
      \[\leadsto \]
    6. Applied times-frac3.8
      \[\leadsto \]
    7. Applied associate-*r*1.7
      \[\leadsto \]
    8. Simplified1.7
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification1.7
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x y z t)
  :name "Numeric.Histogram:binBounds from Chart-1.5.3"
  :precision binary64

  :herbie-target
  (if (< x -9.025511195533005e-135) (- x (* (/ z t) (- x y))) (if (< x 4.275032163700715e-250) (+ x (* (/ (- y x) t) z)) (+ x (/ (- y x) (/ t z)))))

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