Average Error: 10.8 → 1.1
Time: 5.6s
Precision: binary64
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double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (((double) (y - z)) * t)) / ((double) (a - z))))));
}
double code(double x, double y, double z, double t, double a) {
	return ((double) (x + ((double) (((double) (((double) (y - z)) * ((double) (((double) cbrt(t)) * ((double) (((double) cbrt(t)) / ((double) (((double) cbrt(((double) (a - z)))) * ((double) cbrt(((double) (a - z)))))))))))) * ((double) (((double) (((double) cbrt(((double) cbrt(t)))) * ((double) (((double) cbrt(((double) cbrt(t)))) * ((double) cbrt(((double) cbrt(t)))))))) / ((double) cbrt(((double) (a - z))))))))));
}

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

Original10.8
Target0.6
Herbie1.1
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Derivation

  1. Initial program 10.8

    \[\]
  2. Simplified2.9

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt3.4

    \[\leadsto \]
  5. Applied add-cube-cbrt3.5

    \[\leadsto \]
  6. Applied times-frac3.5

    \[\leadsto \]
  7. Applied associate-*r*1.0

    \[\leadsto \]
  8. Simplified1.0

    \[\leadsto \]
  9. Using strategy rm
  10. Applied add-cube-cbrt1.1

    \[\leadsto \]
  11. Final simplification1.1

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y z t a)
  :name "Graphics.Rendering.Plot.Render.Plot.Axis:renderAxisTick from plot-0.2.3.4, A"
  :precision binary64

  :herbie-target
  (if (< t -1.0682974490174067e-39) (+ x (* (/ (- y z) (- a z)) t)) (if (< t 3.9110949887586375e-141) (+ x (/ (* (- y z) t) (- a z))) (+ x (* (/ (- y z) (- a z)) t))))

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