Error

Target

Derivation

1. Initial program 45.0

   \[(x \cdot y + z)_* - \left(1 + \left(x \cdot y + z\right)\right)\]

2. Initial simplification34.3

   \[\leadsto \left((x \cdot y + z)_* - x \cdot y\right) - \left(z - -1\right)\]
3. Using strategy rm

4. Applied sub-neg34.3

   \[\leadsto \left((x \cdot y + z)_* - x \cdot y\right) - \color{blue}{\left(z + \left(--1\right)\right)}\]

5. Applied associate--r+13.7

   \[\leadsto \color{blue}{\left(\left((x \cdot y + z)_* - x \cdot y\right) - z\right) - \left(--1\right)}\]

6. Simplified13.7

   \[\leadsto \left(\left((x \cdot y + z)_* - x \cdot y\right) - z\right) - \color{blue}{1}\]

7. Final simplification13.7

   \[\leadsto \left(\left((x \cdot y + z)_* - x \cdot y\right) - z\right) - 1\]

Runtime

Time bar (total: 41.9s)Debug logProfile

herbie shell --seed 2018353 
(FPCore (x y z)
  :name "simple fma test"

  :herbie-target
  -1

  (- (fma x y z) (+ 1 (+ (* x y) z))))