Error

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Target

Derivation

1. Initial program 0.4

   \[\left(\left(\left(e + d\right) + c\right) + b\right) + a\]

2. Initial simplification0.2

   \[\leadsto \left(\left(a + d\right) + \left(c + b\right)\right) + e\]
3. Using strategy rm

4. Applied +-commutative0.2

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

6. Applied add-log-exp0.2

   \[\leadsto \left(\left(c + b\right) + \color{blue}{\log \left(e^{a + d}\right)}\right) + e\]

7. Applied add-log-exp0.2

   \[\leadsto \left(\color{blue}{\log \left(e^{c + b}\right)} + \log \left(e^{a + d}\right)\right) + e\]

8. Applied sum-log0.2

   \[\leadsto \color{blue}{\log \left(e^{c + b} \cdot e^{a + d}\right)} + e\]

9. Simplified0.2

   \[\leadsto \log \color{blue}{\left(e^{\left(b + d\right) + \left(c + a\right)}\right)} + e\]

10. Final simplification0.2

    \[\leadsto \log \left(e^{\left(c + a\right) + \left(d + b\right)}\right) + e\]

Reproduce

herbie shell --seed 2018362 
(FPCore (a b c d e)
  :name "Expression 1, p15"
  :pre (<= 1 a 2 b 4 c 8 d 16 e 32)

  :herbie-target
  (+ (+ d (+ c (+ a b))) e)

  (+ (+ (+ (+ e d) c) b) a))

Details

Time bar (total: 13.5s)Debug log