Average Error: 0.2 → 0.2
Time: 19.3s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
\[\cosh x \cdot \frac{\sin y}{y}\]
\cosh x \cdot \frac{\sin y}{y}
\cosh x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r23597417 = x;
        double r23597418 = cosh(r23597417);
        double r23597419 = y;
        double r23597420 = sin(r23597419);
        double r23597421 = r23597420 / r23597419;
        double r23597422 = r23597418 * r23597421;
        return r23597422;
}

double f(double x, double y) {
        double r23597423 = x;
        double r23597424 = cosh(r23597423);
        double r23597425 = y;
        double r23597426 = sin(r23597425);
        double r23597427 = r23597426 / r23597425;
        double r23597428 = r23597424 * r23597427;
        return r23597428;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.2
Target0.2
Herbie0.2
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.2

    \[\cosh x \cdot \frac{\sin y}{y}\]
  2. Final simplification0.2

    \[\leadsto \cosh x \cdot \frac{\sin y}{y}\]

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"

  :herbie-target
  (/ (* (cosh x) (sin y)) y)

  (* (cosh x) (/ (sin y) y)))