Average Error: 0.0 → 0
Time: 1.1s
Precision: 64
Internal Precision: 128
\[re \cdot im + im \cdot re\]
↓
\[im \cdot \left(re + re\right)\]

Error

Bits error versus re

Bits error versus im

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[re \cdot im + im \cdot re\]

  2. Simplified0

    \[\leadsto \color{blue}{\left(re + re\right) \cdot im}\]

  3. Final simplification0

    \[\leadsto im \cdot \left(re + re\right)\]

Reproduce

herbie shell --seed 2019018 
(FPCore (re im)
  :name "math.square on complex, imaginary part"
  (+ (* re im) (* im re)))

Details

Time bar (total: 929.0ms)Debug log

sample134.0ms

Algorithm
intervals
Results
63.0ms289×body80valid

simplify21.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
20.0ms
(+ (* re im) (* im re))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 0 expressions with local error:

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

prune5.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample739.0ms

Algorithm
intervals
Results
633.0ms9057×body80valid