Average Error: 0.3 → 0.3
Time: 17.1s
Precision: 64
Internal Precision: 576
$\frac{\cos^{-1} \left(\frac{x}{y}\right)}{y \cdot \sin \left(\cos^{-1} \left(\frac{x}{y}\right)\right)}$
$\frac{\frac{\cos^{-1} \left(\frac{x}{y}\right)}{y}}{\sin \left(\cos^{-1} \left(\frac{x}{y}\right)\right)}$

# Try it out

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# Derivation

1. Initial program 0.3

$\frac{\cos^{-1} \left(\frac{x}{y}\right)}{y \cdot \sin \left(\cos^{-1} \left(\frac{x}{y}\right)\right)}$
2. Initial simplification0.3

$\leadsto \frac{\frac{\cos^{-1} \left(\frac{x}{y}\right)}{y}}{\sin \left(\cos^{-1} \left(\frac{x}{y}\right)\right)}$
3. Final simplification0.3

$\leadsto \frac{\frac{\cos^{-1} \left(\frac{x}{y}\right)}{y}}{\sin \left(\cos^{-1} \left(\frac{x}{y}\right)\right)}$

# Runtime

Time bar (total: 17.1s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)'
(FPCore (x y)
:name "acos(x / y) / (y * sin(acos(x / y)))"
(/ (acos (/ x y)) (* y (sin (acos (/ x y))))))