Details

analyze80.0ms (6.8%)

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
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample694.0ms (59%)

Symmetry

(sort re im)

Results

662.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify9.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	9	8

Stop Event

1×

saturated

Counts

1 → 2

prune2.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(fma.f64 re re (*.f64 im im))
▶	0.0b	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 49 to 24 computations (51% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(+.f64 (*.f64 re re) (*.f64 im im))

rewrite34.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
573×	`prod-diff_binary64`
111×	`log1p-udef_binary64`
64×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	129	7
2	1718	7

Stop Event

1×	node limit

Counts

1 → 35

Calls

1 calls:

34.0ms

(+.f64 (*.f64 re re) (*.f64 im im))

simplify53.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

830×	`sqr-pow_binary64`
372×	`cube-prod_binary64`
359×	`fabs-mul_binary64`
304×	`associate-l_binary64`
262×	`pow-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	204
1	16	168
2	29	168
3	47	168
4	99	168
5	269	168
6	1081	168
7	1364	168
8	1642	168
9	1893	168
10	2230	168
11	2711	168
12	3366	168
13	4154	168

Stop Event

1×	node limit

Counts

59 → 40

prune19.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Error

Counts

42 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 re re) (.f64 im im))
▶	0.0b	(pow.f64 (hypot.f64 re im) 2)

Compiler

Compiled 462 to 259 computations (43.9% saved)

localize3.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (hypot.f64 re im) 2)
✓	0.0b	(hypot.f64 re im)

series48.0ms (4.1%)

Counts

2 → 48

Calls

2 calls:

37.0ms	(pow.f64 (hypot.f64 re im) 2)
11.0ms	(hypot.f64 re im)

rewrite35.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`log1p-expm1-u_binary64`
454×	`expm1-log1p-u_binary64`
274×	`unpow-prod-down_binary64`
232×	`log-prod_binary64`
142×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	122	11
2	1318	11

Stop Event

1×	node limit

Counts

2 → 85

Calls

2 calls:

31.0ms	(pow.f64 (hypot.f64 re im) 2)
31.0ms	(hypot.f64 re im)

simplify30.0ms (2.6%)

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	52	692
1	167	638
2	527	622
3	2350	622

Stop Event

1×	node limit

Counts

133 → 120

prune53.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Error

Counts

122 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 re re) (.f64 im im))
✓	0.0b	(pow.f64 (hypot.f64 re im) 2)

Compiler

Compiled 1522 to 834 computations (45.2% saved)

regimes60.0ms (5.1%)

Accuracy

Total 0.0b remaining (82.9%)

Threshold costs 0.0b (82.9%)

Counts

10 → 1

Compiler

Compiled 466 to 300 computations (35.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7

Stop Event

1×

saturated

end43.0ms (3.7%)

Remove: (sort re im)
Compiler: Compiled 44 to 30 computations (31.8% saved)

Details

analyze80.0ms (6.8%)

sample694.0ms (59%)

simplify9.0ms (0.7%)

prune2.0ms (0.2%)

localize4.0ms (0.3%)

series5.0ms (0.5%)

rewrite34.0ms (2.9%)

simplify53.0ms (4.5%)

prune19.0ms (1.6%)

localize3.0ms (0.3%)

series48.0ms (4.1%)

rewrite35.0ms (3%)

simplify30.0ms (2.6%)

prune53.0ms (4.5%)

regimes60.0ms (5.1%)

simplify2.0ms (0.1%)

end43.0ms (3.7%)

Profiling