Average Error: 2.0 → 2.0
Time: 43.0s
Precision: 64
Internal Precision: 320
\[\frac{a \cdot {k}^{m}}{\left(1 + 10 \cdot k\right) + k \cdot k}\]
↓
\[\frac{{k}^{m} \cdot a}{k \cdot k + \left(1 + 10 \cdot k\right)}\]

Error

Bits error versus a

Bits error versus k

Bits error versus m

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 2.0

    \[\frac{a \cdot {k}^{m}}{\left(1 + 10 \cdot k\right) + k \cdot k}\]

  2. Final simplification2.0

    \[\leadsto \frac{{k}^{m} \cdot a}{k \cdot k + \left(1 + 10 \cdot k\right)}\]

Runtime

Time bar (total: 43.0s)Debug logProfile

herbie shell --seed 2018215 +o rules:numerics
(FPCore (a k m)
  :name "Falkner and Boettcher, Appendix A"
  (/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k))))