Average Error: 6.8 → 6.8
Time: 7.3s
Precision: 64
Internal Precision: 1344
\[\mathsf{erf} \left(x + y\right) - \mathsf{erf} \left(x - y\right)\]
\[\mathsf{erf} \left(x + y\right) - \mathsf{erf} \left(x - y\right)\]

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 6.8

    \[\mathsf{erf} \left(x + y\right) - \mathsf{erf} \left(x - y\right)\]
  2. Initial simplification6.8

    \[\leadsto \mathsf{erf} \left(y + x\right) - \mathsf{erf} \left(x - y\right)\]
  3. Final simplification6.8

    \[\leadsto \mathsf{erf} \left(x + y\right) - \mathsf{erf} \left(x - y\right)\]

Runtime

Time bar (total: 7.3s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x y)
  :name "erf(x+y)-erf(x-y)"
  (- (erf (+ x y)) (erf (- x y))))