Error

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Target

Derivation

1. Initial program 3.7

   \[\left(a + \left(b + \left(c + d\right)\right)\right) \cdot 2\]
2. Using strategy rm

3. Applied associate-+r+2.8

   \[\leadsto \left(a + \color{blue}{\left(\left(b + c\right) + d\right)}\right) \cdot 2\]
4. Using strategy rm

5. Applied expm1-log1p-u3.2

   \[\leadsto \color{blue}{(e^{\log_* (1 + \left(a + \left(\left(b + c\right) + d\right)\right))} - 1)^*} \cdot 2\]
6. Using strategy rm

7. Applied *-un-lft-identity3.2

   \[\leadsto (e^{\color{blue}{1 \cdot \log_* (1 + \left(a + \left(\left(b + c\right) + d\right)\right))}} - 1)^* \cdot 2\]

8. Final simplification3.2

   \[\leadsto (e^{\log_* (1 + \left(a + \left(d + \left(c + b\right)\right)\right))} - 1)^* \cdot 2\]

Reproduce

herbie shell --seed 2019005 +o rules:numerics
(FPCore (a b c d)
  :name "Expression, p6"
  :pre (and (<= -14 a -13) (<= -3 b -2) (<= 3 c 3.5) (<= 12.5 d 13.5))

  :herbie-target
  (+ (* (+ a b) 2) (* (+ c d) 2))

  (* (+ a (+ b (+ c d))) 2))

Details

Time bar (total: 7.0s)Debug log