Average Error: 61.0 → 31.0
Time: 5.4s
Precision: 64
Internal Precision: 2368
$(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*$
$\log \left(\sqrt[3]{\left(e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*} \cdot e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*}\right) \cdot e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*}}\right)$

# Derivation

1. Initial program 61.0

$(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*$
2. Using strategy rm

$\leadsto \color{blue}{\log \left(e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*}\right)}$
4. Using strategy rm

$\leadsto \log \color{blue}{\left(\sqrt[3]{\left(e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*} \cdot e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*}\right) \cdot e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*}}\right)}$
6. Final simplification31.0

$\leadsto \log \left(\sqrt[3]{\left(e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*} \cdot e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*}\right) \cdot e^{(\left(x \cdot y\right) \cdot \left(\frac{1}{x}\right) + \left(-y\right))_*}}\right)$

# Runtime

Time bar (total: 5.4s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)'
(FPCore (x y)
:name "fma(x*y,1/x,-y)"
(fma (* x y) (/ 1 x) (- y)))