neg log

Average Error: 0.0 → 0.0

Time: 1.1s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[-\log \left(\frac{1}{x} - 1\right)\]

↓

\[-\log \left(\frac{1}{x} - 1\right)\]

C

double f(double x) {
        double r1462 = 1.0;
        double r1463 = x;
        double r1464 = r1462 / r1463;
        double r1465 = r1464 - r1462;
        double r1466 = log(r1465);
        double r1467 = -r1466;
        return r1467;
}

↓

double f(double x) {
        double r1468 = 1.0;
        double r1469 = x;
        double r1470 = r1468 / r1469;
        double r1471 = r1470 - r1468;
        double r1472 = log(r1471);
        double r1473 = -r1472;
        return r1473;
}

Error

Bits error versus x

Derivation

1. Initial program 0.0

   \[-\log \left(\frac{1}{x} - 1\right)\]

2. Final simplification 0.0

   \[\leadsto -\log \left(\frac{1}{x} - 1\right)\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (- (log (- (/ 1 x) 1))))