Average Error: 0.1 → 0.1
Time: 10.3s
Precision: 64
Internal Precision: 576
\[\left(z \cdot \left(z + \frac{1}{2}\right)\right) \cdot \sin z\]
\[\sin z \cdot \left(z \cdot \left(\frac{1}{2} + z\right)\right)\]

Error

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(z \cdot \left(z + \frac{1}{2}\right)\right) \cdot \sin z\]
  2. Final simplification0.1

    \[\leadsto \sin z \cdot \left(z \cdot \left(\frac{1}{2} + z\right)\right)\]

Runtime

Time bar (total: 10.3s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (z)
  :name "z*(z+1/2)*sin(z) "
  (* (* z (+ z (/ 1 2))) (sin z)))