Details

analyze5.0ms (0.4%)

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
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample980.0ms (82.4%)

Symmetry

(sort re im)

Results

948.0ms

8256×

body

128

valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	6
1	11	6
2	13	6

Stop Event

1×

saturated

Counts

1 → 2

prune5.0ms (0.4%)

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

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0b	(log.f64 (hypot.f64 re im))

Compiler

Compiled 27 to 17 computations (37% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series9.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(hypot.f64 re im)

rewrite30.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

329×	`log1p-expm1-u_binary64`
329×	`expm1-log1p-u_binary64`
294×	`add-log-exp_binary64`
293×	`add-exp-log_binary64`
288×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	79	4
2	919	4

Stop Event

1×	node limit

Counts

1 → 38

Calls

1 calls:

30.0ms

(hypot.f64 re im)

simplify29.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

529×	`cancel-sign-sub-inv_binary64`
527×	`fma-neg_binary64`
262×	`distribute-rgt-neg-in_binary64`
259×	`distribute-lft-neg-in_binary64`
245×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	488
1	165	470
2	521	454
3	2342	454

Stop Event

1×	node limit

Counts

62 → 68

prune28.0ms (2.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	1	69

Error

Counts

69 → 1

Alt Table

Status	Error	Program
✓	0b	(log.f64 (hypot.f64 re im))

Compiler

Compiled 884 to 518 computations (41.4% saved)

regimes57.0ms (4.8%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

4 → 1

Compiler

Compiled 325 to 215 computations (33.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6

Stop Event

1×

saturated

end35.0ms (2.9%)

Remove: (sort re im)
Compiler: Compiled 30 to 20 computations (33.3% saved)

Details

analyze5.0ms (0.4%)

sample980.0ms (82.4%)

simplify6.0ms (0.5%)

prune5.0ms (0.4%)

localize4.0ms (0.3%)

series9.0ms (0.7%)

rewrite30.0ms (2.5%)

simplify29.0ms (2.4%)

prune28.0ms (2.4%)

regimes57.0ms (4.8%)

simplify3.0ms (0.2%)

end35.0ms (2.9%)

Profiling