Average Error: 7.2 → 0.2
Time: 2.9s
Precision: binary64
\[\]
↓
\[\]
↓
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_re)) - ((double) (((double) (((double) (x_46_re * x_46_im)) + ((double) (x_46_im * x_46_re)))) * x_46_im))));
}

↓
double code(double x_46_re, double x_46_im) {
	return ((double) (((double) pow(x_46_re, 3.0)) + ((double) (((double) (x_46_re * x_46_im)) * ((double) (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
Original7.2
Target0.3
Herbie0.2
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Derivation
  1. Initial program 7.2
    \[\]
  2. Simplified7.2
    \[\leadsto \]
  3. Using strategy rm
  4. Applied associate-*r*0.2
    \[\leadsto \]
  5. Final simplification0.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x.re x.im)
  :name "math.cube on complex, real part"
  :precision binary64

  :herbie-target
  (+ (* (* x.re x.re) (- x.re x.im)) (* (* x.re x.im) (- x.re (* 3.0 x.im))))

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