Average Error: 6.4 → 1.5
Time: 7.4s
Precision: binary64
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\[\]
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (y * ((double) (z - t)))) / a))));
}
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (y * ((double) (((double) cbrt(((double) (z - t)))) * ((double) (((double) cbrt(((double) (z - t)))) / ((double) (((double) cbrt(a)) * ((double) cbrt(a)))))))))) * ((double) (((double) cbrt(((double) (z - t)))) / ((double) cbrt(a))))))));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original6.4
Target0.8
Herbie1.5
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Derivation

  1. Initial program 6.4

    \[\]
  2. Simplified6.1

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt6.5

    \[\leadsto \]
  5. Applied add-cube-cbrt6.6

    \[\leadsto \]
  6. Applied times-frac6.7

    \[\leadsto \]
  7. Applied associate-*r*1.5

    \[\leadsto \]
  8. Simplified1.5

    \[\leadsto \]
  9. Final simplification1.5

    \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (x y z t a)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, E"
  :precision binary64

  :herbie-target
  (if (< y -1.0761266216389975e-10) (+ x (/ 1.0 (/ (/ a (- z t)) y))) (if (< y 2.894426862792089e-49) (+ x (/ (* y (- z t)) a)) (+ x (/ y (/ a (- z t))))))

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