Average Error: 0.1 → 0.1
Time: 21.7s
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 r29401105 = x;
        double r29401106 = cosh(r29401105);
        double r29401107 = y;
        double r29401108 = sin(r29401107);
        double r29401109 = r29401108 / r29401107;
        double r29401110 = r29401106 * r29401109;
        return r29401110;
}
↓
double f(double x, double y) {
        double r29401111 = x;
        double r29401112 = cosh(r29401111);
        double r29401113 = y;
        double r29401114 = sin(r29401113);
        double r29401115 = r29401114 / r29401113;
        double r29401116 = r29401112 * r29401115;
        return r29401116;
}

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 2019171 
(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)))