Average Error: 0.1 → 0.1
Time: 5.5s
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 r335431 = x;
        double r335432 = cosh(r335431);
        double r335433 = y;
        double r335434 = sin(r335433);
        double r335435 = r335434 / r335433;
        double r335436 = r335432 * r335435;
        return r335436;
}

double f(double x, double y) {
        double r335437 = x;
        double r335438 = cosh(r335437);
        double r335439 = y;
        double r335440 = sin(r335439);
        double r335441 = r335440 / r335439;
        double r335442 = r335438 * r335441;
        return r335442;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.1
Target0.1
Herbie0.1
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

    \[\cosh x \cdot \frac{\sin y}{y}\]
  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020046 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"
  :precision binary64

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

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