Average Error: 6.3 → 1.0
Time: 4.7s
Precision: binary64
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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) {
	return ((double) (x + ((double) (((double) (((double) (y - x)) * ((double) (((double) cbrt(z)) * ((double) (((double) cbrt(z)) / ((double) (((double) cbrt(t)) * ((double) cbrt(t)))))))))) * ((double) (((double) cbrt(z)) / ((double) cbrt(t))))))));
}

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

Original6.3
Target1.8
Herbie1.0
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Derivation

  1. Initial program 6.3

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  2. Simplified2.1

    \[\leadsto \]
  3. Using strategy rm
  4. Applied add-cube-cbrt2.6

    \[\leadsto \]
  5. Applied add-cube-cbrt2.7

    \[\leadsto \]
  6. Applied times-frac2.7

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

    \[\leadsto \]
  8. Simplified1.0

    \[\leadsto \]
  9. Final simplification1.0

    \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(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)))