Details

analyze868.0ms (21.3%)

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%	87.4%	12.6%	7
0%	84.3%	15.7%	8
1.6%	80%	18.4%	9
2.3%	78.2%	19.4%	10
3.5%	76%	20.5%	11
4.1%	75.1%	20.8%	12
4.8%	73.9%	21.3%	13
5.1%	73.5%	21.4%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample2.4s (59.7%)

Results

1.4s	3224×	body	8192	exit
751.0ms	8256×	body	128	valid
8.0ms	87×	body	128	invalid

Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify194.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

767×	`unsub-neg_binary64`
740×	`*-commutative_binary64`
699×	`fma-def_binary64`
598×	`fma-neg_binary64`
465×	`distribute-neg-out_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	15	10
2	25	10
3	53	10
4	114	10
5	274	10
6	525	10
7	1003	10
8	1777	10
9	2581	10
10	2830	10
11	3137	10
12	3367	10
13	3481	10
14	3481	10
15	4440	10
16	4280	10
17	4600	10
18	4600	10
19	5099	10

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(-.f64 (*.f64 re re) (*.f64 im im))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`cancel-sign-sub-inv_binary64`
1×	`difference-of-squares_binary64`
1×	`flip--_binary64`
1×	`sub-neg_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

(-.f64 (*.f64 re re) (*.f64 im im))

simplify64.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

794×	`distribute-rgt-in_binary64`
735×	`distribute-lft-in_binary64`
561×	`fma-def_binary64`
168×	`fma-neg_binary64`
164×	`unswap-sqr_binary64`

Counts

41 → 28

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	480
1	109	434
2	303	428
3	1055	428
4	4694	428
5	4980	428
6	4883	428

prune19.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	28	1	29

Error

0.0b

Counts

29 → 1

Alt Table

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

Compiler

Compiled 344 to 99 computations (71.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

7.0ms

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

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
18×	`prod-diff_binary64`
17×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64`

Counts

1 → 57

Calls

1 calls:

7.0ms

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

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

835×	`distribute-rgt-in_binary64`
791×	`distribute-lft-in_binary64`
673×	`fma-def_binary64`
212×	`exp-prod_binary64`
145×	`associate-l_binary64`

Counts

81 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	1280
1	290	1202
2	1128	1112
3	4796	1112
4	4937	1112

prune30.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	2	85

Error

Counts

85 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 re (+.f64 re im)) (.f64 (neg.f64 im) (+.f64 re im)))
✓	0.0b	(*.f64 (+.f64 re im) (-.f64 re im))

Compiler

Compiled 1646 to 390 computations (76.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series21.0ms (0.5%)

Counts

3 → 72

Calls

3 calls:

8.0ms	(+.f64 (.f64 re (+.f64 re im)) (.f64 (neg.f64 im) (+.f64 re im)))
7.0ms	(*.f64 (neg.f64 im) (+.f64 re im))
5.0ms	(*.f64 re (+.f64 re im))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`associate-l_binary64`
13×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-*r/_binary64`
9×	`add-cube-cbrt_binary64`

Counts

3 → 82

Calls

3 calls:

5.0ms	(+.f64 (.f64 re (+.f64 re im)) (.f64 (neg.f64 im) (+.f64 re im)))
5.0ms	(*.f64 (neg.f64 im) (+.f64 re im))
4.0ms	(*.f64 re (+.f64 re im))

simplify107.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-+l+_binary64`
303×	`distribute-rgt-neg-out_binary64`
289×	`distribute-lft-neg-out_binary64`
213×	`fma-neg_binary64`
210×	`associate-l_binary64`

Counts

154 → 132

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	138	1723
1	443	1639
2	1909	1617
3	4962	1617
4	5000	1617
5	4966	1617

prune52.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	2	134

Error

Counts

134 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 re (+.f64 re im)) (.f64 (neg.f64 im) (+.f64 re im)))
✓	0.0b	(*.f64 (+.f64 re im) (-.f64 re im))

Compiler

Compiled 2478 to 503 computations (79.7% saved)

regimes122.0ms (3%)

Accuracy

Total 0.0b remaining (57.1%)

Threshold costs 0.0b (57.1%)

Counts

23 → 1

Compiler

Compiled 1774 to 1075 computations (39.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	10	10
2	15	10
3	17	10
4	18	10
5	18	10

end33.0ms (0.8%)

Compiler: Compiled 41 to 22 computations (46.3% saved)

Details

analyze868.0ms (21.3%)

sample2.4s (59.7%)

simplify194.0ms (4.8%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite3.0ms (0.1%)

simplify64.0ms (1.6%)

prune19.0ms (0.5%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite12.0ms (0.3%)

simplify65.0ms (1.6%)

prune30.0ms (0.7%)

localize6.0ms (0.1%)

series21.0ms (0.5%)

rewrite19.0ms (0.5%)

simplify107.0ms (2.6%)

prune52.0ms (1.3%)

regimes122.0ms (3%)

simplify2.0ms (0.1%)

end33.0ms (0.8%)

Profiling