Average Error: 0.2 → 0.2
Time: 21.6s
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 r26076379 = x;
        double r26076380 = cosh(r26076379);
        double r26076381 = y;
        double r26076382 = sin(r26076381);
        double r26076383 = r26076382 / r26076381;
        double r26076384 = r26076380 * r26076383;
        return r26076384;
}
↓
double f(double x, double y) {
        double r26076385 = x;
        double r26076386 = cosh(r26076385);
        double r26076387 = y;
        double r26076388 = sin(r26076387);
        double r26076389 = r26076388 / r26076387;
        double r26076390 = r26076386 * r26076389;
        return r26076390;
}

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 
(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)))