Average Error: 0.1 → 0.1
Time: 17.1s
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 r405205 = x;
        double r405206 = cosh(r405205);
        double r405207 = y;
        double r405208 = sin(r405207);
        double r405209 = r405208 / r405207;
        double r405210 = r405206 * r405209;
        return r405210;
}
↓
double f(double x, double y) {
        double r405211 = x;
        double r405212 = cosh(r405211);
        double r405213 = y;
        double r405214 = sin(r405213);
        double r405215 = r405214 / r405213;
        double r405216 = r405212 * r405215;
        return r405216;
}

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 2019198 
(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)))