Average Error: 0.0 → 0.0
Time: 1.3m
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
\[\frac{\sinh y}{y} \cdot \sin x\]
\sin x \cdot \frac{\sinh y}{y}
\frac{\sinh y}{y} \cdot \sin x
double f(double x, double y) {
        double r8161187 = x;
        double r8161188 = sin(r8161187);
        double r8161189 = y;
        double r8161190 = sinh(r8161189);
        double r8161191 = r8161190 / r8161189;
        double r8161192 = r8161188 * r8161191;
        return r8161192;
}

double f(double x, double y) {
        double r8161193 = y;
        double r8161194 = sinh(r8161193);
        double r8161195 = r8161194 / r8161193;
        double r8161196 = x;
        double r8161197 = sin(r8161196);
        double r8161198 = r8161195 * r8161197;
        return r8161198;
}

Error

Bits error versus x

Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\sin x \cdot \frac{\sinh y}{y}\]
  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))