\log \left(1 + e^{x}\right) - x \cdot y\mathsf{log1p}\left(e^{x}\right) - y \cdot xdouble f(double x, double y) {
double r5078880 = 1.0;
double r5078881 = x;
double r5078882 = exp(r5078881);
double r5078883 = r5078880 + r5078882;
double r5078884 = log(r5078883);
double r5078885 = y;
double r5078886 = r5078881 * r5078885;
double r5078887 = r5078884 - r5078886;
return r5078887;
}
double f(double x, double y) {
double r5078888 = x;
double r5078889 = exp(r5078888);
double r5078890 = log1p(r5078889);
double r5078891 = y;
double r5078892 = r5078891 * r5078888;
double r5078893 = r5078890 - r5078892;
return r5078893;
}




Bits error versus x




Bits error versus y
Results
| Original | 0.4 |
|---|---|
| Target | 0.1 |
| Herbie | 0.4 |
Initial program 0.4
Simplified0.4
Final simplification0.4
herbie shell --seed 2019138 +o rules:numerics
(FPCore (x y)
:name "Logistic regression 2"
:herbie-target
(if (<= x 0) (- (log (+ 1 (exp x))) (* x y)) (- (log (+ 1 (exp (- x)))) (* (- x) (- 1 y))))
(- (log (+ 1 (exp x))) (* x y)))