Average Error: 0.0 → 0.0
Time: 1.8s
Precision: 64
Internal Precision: 128
\[re \cdot re - im \cdot im\]
↓
\[re \cdot re - im \cdot im\]

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

    \[re \cdot re - im \cdot im\]

  2. Final simplification0.0

    \[\leadsto re \cdot re - im \cdot im\]

Reproduce

herbie shell --seed 2019021 
(FPCore (re im)
  :name "math.square on complex, real part"
  (- (* re re) (* im im)))

Details

Time bar (total: 1.6s)Debug log

sample124.0ms

Algorithm
intervals
Results
31.0ms439×body80valid

simplify18.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(- (* re re) (* im im))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize58.0ms

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

prune6.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.3s14198×body80valid