Average Error: 7.4 → 0.2
Time: 3.5s
Precision: binary64
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↓
\[\]
↓
double code(double x_46_re, double x_46_im) {
	return ((double) (((double) (((double) (((double) (x_46_re * x_46_re)) - ((double) (x_46_im * x_46_im)))) * x_46_im)) + ((double) (((double) (((double) (x_46_re * x_46_im)) + ((double) (x_46_im * x_46_re)))) * x_46_re))));
}

↓
double code(double x_46_re, double x_46_im) {
	return ((double) (((double) (x_46_re * ((double) (x_46_re * ((double) (x_46_im * 3.0)))))) - ((double) pow(x_46_im, 3.0))));
}

Error
Bits error versus x.re
Bits error versus x.im
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original7.4
Target0.3
Herbie0.2
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Derivation
  1. Initial program 7.4
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  2. Simplified0.2
    \[\leadsto \]
  3. Final simplification0.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x.re x.im)
  :name "math.cube on complex, imaginary part"
  :precision binary64

  :herbie-target
  (+ (* (* x.re x.im) (* 2.0 x.re)) (* (* x.im (- x.re x.im)) (+ x.re x.im)))

  (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)))