Average Error: 29.5 → 0.0
Time: 4.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x, double y) {
	return ((double) (((double) (2.0 / ((double) (1.0 + ((double) exp(((double) (-2.0 * x)))))))) - 1.0));
}

↓
double code(double x, double y) {
	double VAR;
	if (((x <= -0.000966599909477714) || !(x <= 0.0008654656792303772))) {
		VAR = ((double) (((double) (((double) cbrt(((double) (((double) pow(((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))), 3.0)) - ((double) pow(1.0, 3.0)))))) / ((double) cbrt(((double) (((double) pow(((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))), 2.0)) + ((double) (1.0 * ((double) (1.0 + ((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))))))))))))) * ((double) (((double) (((double) cbrt(((double) (((double) pow(((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))), 3.0)) - ((double) pow(1.0, 3.0)))))) / ((double) cbrt(((double) (((double) pow(((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))), 2.0)) + ((double) (1.0 * ((double) (1.0 + ((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))))))))))))) * ((double) (((double) cbrt(((double) (((double) pow(((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))), 3.0)) - ((double) pow(1.0, 3.0)))))) / ((double) cbrt(((double) (((double) pow(((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x)))))), 2.0)) + ((double) (1.0 * ((double) (1.0 + ((double) (2.0 / ((double) (1.0 + ((double) pow(((double) exp(-2.0)), x))))))))))))))))))));
	} else {
		VAR = ((double) (((double) (x * 1.0)) - ((double) (((double) pow(x, 3.0)) * ((double) (((double) (x * 5.551115123125783e-17)) + 0.33333333333333337))))));
	}
	return VAR;
}

Error
Bits error versus x
Bits error versus y
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Split input into 2 regimes
  2. if  x  < -9.66599909477714012e-4 or 8.6546567923037718e-4 <  x 
    1. Initial program 0.1
      \[\]
    2. Using strategy rm
    3. Applied flip3--0.1
      \[\leadsto \]
    4. Simplified0.1
      \[\leadsto \]
    5. Simplified0.1
      \[\leadsto \]
    6. Using strategy rm
    7. Applied add-cube-cbrt1.3
      \[\leadsto \]
    8. Applied add-cube-cbrt0.1
      \[\leadsto \]
    9. Applied times-frac0.1
      \[\leadsto \]
    10. Simplified0.1
      \[\leadsto \]
    11. Simplified0.1
      \[\leadsto \]
    if -9.66599909477714012e-4 <  x  < 8.6546567923037718e-4
    1. Initial program 59.1
      \[\]
    2. Taylor expanded around 0 0.0
      \[\leadsto \]
    3. Simplified0.0
      \[\leadsto \]
  3. Recombined 2 regimes into one program.
  4. Final simplification0.0
    \[\leadsto \]
Reproduce
herbie shell --seed 2020179 
(FPCore (x y)
  :name "Logistic function from Lakshay Garg"
  :precision binary64
  (- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0))