Average Error: 14.6 → 2.2
Time: 4.3s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y, double z, double t) {
	return ((double) (x * ((double) (((double) (((double) (y / z)) * t)) / t))));
}

↓
double code(double x, double y, double z, double t) {
	return ((double) (((double) (x * ((double) (((double) cbrt(y)) * ((double) (((double) cbrt(y)) / ((double) (((double) cbrt(z)) * ((double) cbrt(z)))))))))) * ((double) (((double) cbrt(y)) / ((double) cbrt(z))))));
}

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
Original14.6
Target1.6
Herbie2.2
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Derivation
  1. Initial program 14.6
    \[\]
  2. Simplified6.3
    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt7.1
    \[\leadsto \]
  5. Applied add-cube-cbrt7.3
    \[\leadsto \]
  6. Applied times-frac7.3
    \[\leadsto \]
  7. Applied associate-*r*2.2
    \[\leadsto \]
  8. Simplified2.2
    \[\leadsto \]
  9. Final simplification2.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y z t)
  :name "Graphics.Rendering.Chart.Backend.Diagrams:calcFontMetrics from Chart-diagrams-1.5.1, B"
  :precision binary64

  :herbie-target
  (if (< (/ (* (/ y z) t) t) -1.20672205123045e+245) (/ y (/ z x)) (if (< (/ (* (/ y z) t) t) -5.907522236933906e-275) (* x (/ y z)) (if (< (/ (* (/ y z) t) t) 5.658954423153415e-65) (/ y (/ z x)) (if (< (/ (* (/ y z) t) t) 2.0087180502407133e+217) (* x (/ y z)) (/ (* y x) z)))))

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