Details

Time bar (total: 1.4s)

analyze3.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
99.9%0%0.1%3
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample976.0ms (71.4%)

Symmetry

(sort re im)

Results
915.0ms8256×body128valid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify14.0ms (1%)

Algorithm
egg-herbie
Rules
hypot-def_binary64
fma-def_binary64
+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
1104
2124
3124

prune6.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(hypot.f64 re im)
Compiler

Compiled 23 to 13 computations (43.5% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(hypot.f64 re im)

series24.0ms (1.8%)

Counts
1 → 24
Calls

1 calls:

24.0ms
(hypot.f64 re im)

rewrite1.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

1.0ms
(hypot.f64 re im)

simplify96.0ms (7%)

Algorithm
egg-herbie
Rules
943×fma-neg_binary64
529×cancel-sign-sub-inv_binary64
273×associate-/r/_binary64
262×distribute-rgt-neg-in_binary64
259×distribute-lft-neg-in_binary64
Counts
34 → 42
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
064568
1177541
2507525
32142525
44490525
55063525

prune36.0ms (2.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New42042
Fresh000
Picked011
Done000
Total42143
Error
0.0b
Counts
43 → 1
Alt Table
StatusErrorProgram
0.0b
(hypot.f64 re im)
Compiler

Compiled 545 to 327 computations (40% saved)

regimes166.0ms (12.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts
4 → 1
Compiler

Compiled 249 to 155 computations (37.8% saved)

simplify3.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end37.0ms (2.7%)

Remove

(sort re im)

Compiler

Compiled 25 to 15 computations (40% saved)

Profiling

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