Error

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Target

Derivation

1. Initial program 61.8

   \[\left(1 + t \cdot 2 \cdot 10^{-16}\right) \cdot \left(1 + t \cdot 2 \cdot 10^{-16}\right) + \left(-1 - 2 \cdot \left(t \cdot 2 \cdot 10^{-16}\right)\right)\]

2. Initial simplification0.4

   \[\leadsto \left(2 \cdot 10^{-16} \cdot t\right) \cdot \left(2 \cdot 10^{-16} \cdot t\right)\]
3. Using strategy rm

4. Applied associate-*l*0.3

   \[\leadsto \color{blue}{2 \cdot 10^{-16} \cdot \left(t \cdot \left(2 \cdot 10^{-16} \cdot t\right)\right)}\]

5. Taylor expanded around -inf 0.4

   \[\leadsto 2 \cdot 10^{-16} \cdot \color{blue}{\left(2 \cdot 10^{-16} \cdot {t}^{2}\right)}\]

6. Final simplification0.4

   \[\leadsto \left({t}^{2} \cdot 2 \cdot 10^{-16}\right) \cdot 2 \cdot 10^{-16}\]

Runtime

Time bar (total: 10.0s)Debug logProfile

herbie shell --seed 2018353 
(FPCore (t)
  :name "fma_test1"
  :pre (<= 0.9 t 1.1)

  :herbie-target
  (fma (+ 1 (* t 2e-16)) (+ 1 (* t 2e-16)) (- -1 (* 2 (* t 2e-16))))

  (+ (* (+ 1 (* t 2e-16)) (+ 1 (* t 2e-16))) (- -1 (* 2 (* t 2e-16)))))