Details

analyze658.0ms (13.8%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.9%	2.5%	9
45.2%	50.7%	4%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	11%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample2.2s (47%)

Symmetry

(sort d2 d3)

Results

2.0s	8209×	body	128	valid
131.0ms	721×	body	128	invalid
11.0ms	26×	body	512	valid
5.0ms	9×	body	1024	valid
4.0ms	12×	body	256	valid

Compiler

Compiled 50 to 35 computations (30% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

114×	`fma-def_binary64`
61×	`associate-+l+_binary64`
40×	`associate-+r+_binary64`
34×	`distribute-lft-out_binary64`
33×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	17
1	21	14
2	50	10
3	125	10
4	216	10
5	237	10
6	249	10
7	235	10

prune8.0ms (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

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.0b	(*.f64 d1 (+.f64 d2 (+.f64 d3 37)))
▶	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 75 to 51 computations (32% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
✓	0.0b	(*.f64 (+.f64 d3 5) d1)
✓	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

series33.0ms (0.7%)

Counts

3 → 96

Calls

3 calls:

14.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
12.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))
6.0ms	(*.f64 (+.f64 d3 5) d1)

rewrite111.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`fma-def_binary64`
384×	`fma-neg_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
186×	`egg-rr`

Counts

3 → 186

Calls

3 calls:

101.0ms	(+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1))
101.0ms	(*.f64 (+.f64 d3 5) d1)
101.0ms	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	273	31
2	3620	31
3	5487	31

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Rules

50×	`fma-def_binary64`
17×	`+-commutative_binary64`
13×	`*-commutative_binary64`
13×	`distribute-rgt-in_binary64`
8×	`associate-+r+_binary64`

Counts

282 → 209

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	820
1	77	819
2	103	819
3	117	819
4	116	819

prune274.0ms (5.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	207	2	209
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	208	3	211

Error

Counts

211 → 3

Alt Table

Status	Error	Program
	0.0b	(fma.f64 d1 (+.f64 (+.f64 d3 5) 32) (*.f64 d1 d2))
▶	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 (+.f64 d3 5) 32)))
✓	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 3695 to 2196 computations (40.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 d3 5) 32)
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 (+.f64 d3 5) 32)))
✓	0.0b	(*.f64 d1 (+.f64 (+.f64 d3 5) 32))

series18.0ms (0.4%)

Counts

3 → 72

Calls

3 calls:

11.0ms	(fma.f64 d1 d2 (*.f64 d1 (+.f64 (+.f64 d3 5) 32)))
6.0ms	(*.f64 d1 (+.f64 (+.f64 d3 5) 32))
1.0ms	(+.f64 (+.f64 d3 5) 32)

rewrite148.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

457×	`prod-diff_binary64`
378×	`fma-udef_binary64`
263×	`fma-def_binary64`
234×	`fma-neg_binary64`
207×	`expm1-udef_binary64`

Counts

3 → 141

Calls

3 calls:

145.0ms	(+.f64 (+.f64 d3 5) 32)
145.0ms	(fma.f64 d1 d2 (*.f64 d1 (+.f64 (+.f64 d3 5) 32)))
145.0ms	(*.f64 d1 (+.f64 (+.f64 d3 5) 32))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	230	21
2	2901	21
3	4834	21
4	4793	21
5	4992	21

simplify26.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
10×	`+-commutative_binary64`
7×	`*-commutative_binary64`
6×	`associate-+l+_binary64`
5×	`associate-+r+_binary64`

Counts

213 → 158

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	528
1	35	528
2	57	528
3	66	528
4	67	528
5	67	528

prune128.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	158	3	161

Error

Counts

161 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 (+.f64 (+.f64 d3 5) 32) (*.f64 d1 d2))
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 (+.f64 d3 5) 32)))
✓	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 2286 to 1432 computations (37.4% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (+.f64 d3 5) 32)
✓	0.0b	(fma.f64 d1 (+.f64 (+.f64 d3 5) 32) (*.f64 d1 d2))

series13.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(fma.f64 d1 (+.f64 (+.f64 d3 5) 32) (*.f64 d1 d2))

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary64`
320×	`prod-diff_binary64`
219×	`fma-def_binary64`
203×	`expm1-udef_binary64`
203×	`log1p-udef_binary64`

Counts

1 → 30

Calls

1 calls:

63.0ms

(fma.f64 d1 (+.f64 (+.f64 d3 5) 32) (*.f64 d1 d2))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	224	10
2	2775	10
3	5391	10

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
10×	`+-commutative_binary64`
8×	`*-commutative_binary64`
5×	`associate-+r+_binary64`
5×	`associate-+l+_binary64`

Counts

66 → 40

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	331
1	34	330
2	58	330
3	66	330
4	67	330
5	67	330

prune117.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Error

Counts

89 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 (+.f64 (+.f64 d3 5) 32) (*.f64 d1 d2))
✓	0.0b	(fma.f64 d1 d2 (*.f64 d1 (+.f64 (+.f64 d3 5) 32)))
✓	0.0b	(+.f64 (+.f64 (.f64 d1 d2) (.f64 (+.f64 d3 5) d1)) (*.f64 d1 32))

Compiler

Compiled 1181 to 720 computations (39% saved)

regimes698.0ms (14.7%)

Accuracy

Total 0.0b remaining (72.2%)

Threshold costs 0.0b (72.2%)

Counts

93 → 1

Compiler

Compiled 5808 to 4035 computations (30.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	12	15
2	12	15

end107.0ms (2.3%)

Remove: (sort d2 d3)
Compiler: Compiled 98 to 65 computations (33.7% saved)

Details

analyze658.0ms (13.8%)

sample2.2s (47%)

simplify11.0ms (0.2%)

prune8.0ms (0.2%)

localize8.0ms (0.2%)

series33.0ms (0.7%)

rewrite111.0ms (2.3%)

simplify48.0ms (1%)

prune274.0ms (5.8%)

localize10.0ms (0.2%)

series18.0ms (0.4%)

rewrite148.0ms (3.1%)

simplify26.0ms (0.6%)

prune128.0ms (2.7%)

localize7.0ms (0.1%)

series13.0ms (0.3%)

rewrite64.0ms (1.3%)

simplify29.0ms (0.6%)

prune117.0ms (2.5%)

regimes698.0ms (14.7%)

simplify4.0ms (0.1%)

end107.0ms (2.3%)

Profiling