Average Error: 0.0 → 0.0
Time: 2.0s
Precision: 64
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
↓
\[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
↓
\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003
double f(double x, double y) {
        double r30260 = x;
        double r30261 = y;
        double r30262 = 1.0;
        double r30263 = r30261 - r30262;
        double r30264 = r30260 * r30263;
        double r30265 = 0.5;
        double r30266 = r30261 * r30265;
        double r30267 = r30264 - r30266;
        double r30268 = 0.918938533204673;
        double r30269 = r30267 + r30268;
        return r30269;
}
↓
double f(double x, double y) {
        double r30270 = x;
        double r30271 = y;
        double r30272 = 1.0;
        double r30273 = r30271 - r30272;
        double r30274 = r30270 * r30273;
        double r30275 = 0.5;
        double r30276 = r30271 * r30275;
        double r30277 = r30274 - r30276;
        double r30278 = 0.918938533204673;
        double r30279 = r30277 + r30278;
        return r30279;
}

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. Initial program 0.0

    \[\left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]

  2. Final simplification0.0

    \[\leadsto \left(x \cdot \left(y - 1\right) - y \cdot 0.5\right) + 0.918938533204673003\]

Reproduce

herbie shell --seed 2020036 
(FPCore (x y)
  :name "Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, A"
  :precision binary64
  (+ (- (* x (- y 1)) (* y 0.5)) 0.918938533204673))