Details

analyze1.4s (57.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	99.9%	0.1%	9
0%	99.9%	0.1%	10
0%	99.9%	0.1%	11
0%	99.9%	0.1%	12
0%	99.9%	0.1%	13
0%	99.9%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample825.0ms (34.8%)

Symmetry

(sort re im)

Results

795.0ms

8256×

body

128

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`hypot-def_binary64`
2×	`fma-def_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
2	12	4
3	12	4

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(hypot.f64 re im)

Compiler

Compiled 23 to 13 computations (43.5% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 re im)

series12.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

12.0ms

(hypot.f64 re im)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(hypot.f64 re im)

simplify53.0ms (2.3%)

Algorithm

1×	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)

Iter	Nodes	Cost
0	64	568
1	177	541
2	507	525
3	2142	525
4	4490	525
5	5063	525

prune19.0ms (0.8%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	1	43

Error

0.0b

Counts

43 → 1

Alt Table

Status	Error	Program
✓	0.0b	(hypot.f64 re im)

Compiler

Compiled 545 to 327 computations (40% saved)

regimes54.0ms (2.3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

4 → 1

Compiler

Compiled 249 to 155 computations (37.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	4	4

end30.0ms (1.3%)

Remove: (sort re im)
Compiler: Compiled 25 to 15 computations (40% saved)

Details

analyze1.4s (57.4%)

sample825.0ms (34.8%)

simplify6.0ms (0.2%)

prune6.0ms (0.2%)

localize2.0ms (0.1%)

series12.0ms (0.5%)

rewrite1.0ms (0%)

simplify53.0ms (2.3%)

prune19.0ms (0.8%)

regimes54.0ms (2.3%)

simplify2.0ms (0.1%)

end30.0ms (1.3%)

Profiling