Average Error: 0.0 → 0.0
Time: 4.2s
Precision: binary64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \frac{\sinh y}{y}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \frac{\sinh y}{y}
(FPCore (x y) :precision binary64 (* (cos x) (/ (sinh y) y)))
↓
(FPCore (x y) :precision binary64 (* (cos x) (/ (sinh y) y)))
double code(double x, double y) {
	return cos(x) * (sinh(y) / y);
}
↓
double code(double x, double y) {
	return cos(x) * (sinh(y) / y);
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

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Derivation

  1. Initial program 0.0

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

  3. Applied *-un-lft-identity_binary640.0

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

  4. Applied *-un-lft-identity_binary640.0

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

  5. Applied times-frac_binary640.0

    \[\leadsto \cos x \cdot \color{blue}{\left(\frac{1}{1} \cdot \frac{\sinh y}{y}\right)}\]

  6. Simplified0.0

    \[\leadsto \cos x \cdot \left(\color{blue}{1} \cdot \frac{\sinh y}{y}\right)\]

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2021128 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))