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

Error

Bits error versus z

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Your Program's Arguments

Results

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
  3. Applied add-exp-log0.0

    \[\leadsto \left(\frac{7.0}{12.0} \cdot 0.5\right) \cdot \color{blue}{e^{\log \left(\mathsf{erfc} z\right)}}\]
  4. Applied add-exp-log0.0

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