Average Error: 14.1 → 1.1
Time: 22.0s
Precision: 64
\[\frac{\sin x \cdot \sinh y}{x}\]
↓
\[\sin x \cdot \frac{\frac{\sinh y}{\sqrt[3]{x} \cdot \sqrt[3]{x}}}{\sqrt[3]{x}}\]
\frac{\sin x \cdot \sinh y}{x}
↓
\sin x \cdot \frac{\frac{\sinh y}{\sqrt[3]{x} \cdot \sqrt[3]{x}}}{\sqrt[3]{x}}
double f(double x, double y) {
        double r25825334 = x;
        double r25825335 = sin(r25825334);
        double r25825336 = y;
        double r25825337 = sinh(r25825336);
        double r25825338 = r25825335 * r25825337;
        double r25825339 = r25825338 / r25825334;
        return r25825339;
}
↓
double f(double x, double y) {
        double r25825340 = x;
        double r25825341 = sin(r25825340);
        double r25825342 = y;
        double r25825343 = sinh(r25825342);
        double r25825344 = cbrt(r25825340);
        double r25825345 = r25825344 * r25825344;
        double r25825346 = r25825343 / r25825345;
        double r25825347 = r25825346 / r25825344;
        double r25825348 = r25825341 * r25825347;
        return r25825348;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original14.1
Target0.2
Herbie1.1
\[\sin x \cdot \frac{\sinh y}{x}\]

Derivation

  1. Initial program 14.1

    \[\frac{\sin x \cdot \sinh y}{x}\]
  2. Using strategy rm

  3. Applied *-un-lft-identity14.1

    \[\leadsto \frac{\sin x \cdot \sinh y}{\color{blue}{1 \cdot x}}\]

  4. Applied times-frac0.2

    \[\leadsto \color{blue}{\frac{\sin x}{1} \cdot \frac{\sinh y}{x}}\]

  5. Simplified0.2

    \[\leadsto \color{blue}{\sin x} \cdot \frac{\sinh y}{x}\]
  6. Using strategy rm

  7. Applied add-cube-cbrt1.1

    \[\leadsto \sin x \cdot \frac{\sinh y}{\color{blue}{\left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \sqrt[3]{x}}}\]

  8. Applied associate-/r*1.1

    \[\leadsto \sin x \cdot \color{blue}{\frac{\frac{\sinh y}{\sqrt[3]{x} \cdot \sqrt[3]{x}}}{\sqrt[3]{x}}}\]

  9. Final simplification1.1

    \[\leadsto \sin x \cdot \frac{\frac{\sinh y}{\sqrt[3]{x} \cdot \sqrt[3]{x}}}{\sqrt[3]{x}}\]

Reproduce

herbie shell --seed 2019163 
(FPCore (x y)
  :name "Linear.Quaternion:$ccosh from linear-1.19.1.3"

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

  (/ (* (sin x) (sinh y)) x))