Average Error: 0.0 → 0.0
Time: 6.4s
Precision: 64
Internal Precision: 320
$\left(\frac{7.0}{12.0} \cdot 0.5\right) \cdot \mathsf{erfc} z$
$e^{\log \left(\frac{7.0}{12.0} \cdot 0.5\right) + \log \left(\mathsf{erfc} z\right)}$

# Try it out

Results

 In Out
Enter valid numbers for all inputs

# Derivation

1. Initial program 0.0

$\left(\frac{7.0}{12.0} \cdot 0.5\right) \cdot \mathsf{erfc} z$
2. Using strategy rm

$\leadsto \left(\frac{7.0}{12.0} \cdot 0.5\right) \cdot \color{blue}{e^{\log \left(\mathsf{erfc} z\right)}}$

$\leadsto \color{blue}{e^{\log \left(\frac{7.0}{12.0} \cdot 0.5\right)}} \cdot e^{\log \left(\mathsf{erfc} z\right)}$
5. Applied prod-exp0.0

$\leadsto \color{blue}{e^{\log \left(\frac{7.0}{12.0} \cdot 0.5\right) + \log \left(\mathsf{erfc} z\right)}}$
6. Final simplification0.0

$\leadsto e^{\log \left(\frac{7.0}{12.0} \cdot 0.5\right) + \log \left(\mathsf{erfc} z\right)}$

# Runtime

Time bar (total: 6.4s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)'
(FPCore (z)
:name "7.0 / 12.0 * 0.5 * erfc (z)"
(* (* (/ 7.0 12.0) 0.5) (erfc z)))