Average Error: 0.5 → 0.5
Time: 3.7s
Precision: binary64
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↓
\[\]
↓
double code(double x, double y) {
	return ((double) (((double) log(((double) (1.0 + ((double) exp(x)))))) - ((double) (x * y))));
}

↓
double code(double x, double y) {
	return ((double) (((double) cbrt(((double) pow(((double) log(((double) (1.0 + ((double) exp(x)))))), 3.0)))) - ((double) (x * y))));
}

Error
Bits error versus x
Bits error versus y
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original0.5
Target0.1
Herbie0.5
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Derivation
  1. Initial program 0.5
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  2. Using strategy rm
  3. Applied add-cbrt-cube0.5
    \[\leadsto \]
  4. Simplified0.5
    \[\leadsto \]
  5. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x y)
  :name "Logistic regression 2"
  :precision binary64

  :herbie-target
  (if (<= x 0.0) (- (log (+ 1.0 (exp x))) (* x y)) (- (log (+ 1.0 (exp (neg x)))) (* (neg x) (- 1.0 y))))

  (- (log (+ 1.0 (exp x))) (* x y)))