Details

analyze829.0ms (22.2%)

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%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample51.0ms (1.4%)

Algorithm

1×

intervals

Results

16.0ms	242×	body	128	valid
5.0ms	27×	body	128	invalid
1.0ms	6×	body	512	valid
1.0ms	4×	body	1024	valid
0.0ms	4×	body	256	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

25×	`fma-def_binary64`
9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-+r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	20	10
2	44	10
3	64	10
4	66	10
5	67	10
6	67	10

prune6.0ms (0.1%)

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.1b	(*.f64 d1 (+.f64 3 (+.f64 d2 d3)))
▶	0.1b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))

Compiler

Compiled 69 to 45 computations (34.8% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
✓	0.0b	(+.f64 (.f64 d1 3) (.f64 d1 d2))

series29.0ms (0.8%)

Counts

2 → 60

Calls

2 calls:

16.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
12.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
5×	`fma-def_binary64`
4×	`distribute-lft-out_binary64`
4×	`sum-log_binary64`
3×	`*-un-lft-identity_binary64`

Counts

2 → 35

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2)) (*.f64 d1 d3))
6.0ms	(+.f64 (.f64 d1 3) (.f64 d1 d2))

simplify106.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

641×	`fma-def_binary64`
622×	`associate-l_binary64`
565×	`fma-neg_binary64`
495×	`associate-r_binary64`
492×	`distribute-rgt-in_binary64`

Counts

95 → 66

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	934
1	232	892
2	893	888
3	4255	888
4	4992	888
5	5184	888

prune84.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Error

0.0b

Counts

68 → 3

Alt Table

Status	Error	Program
	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	32.1b	(fma.f64 (sqrt.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2))) (sqrt.f64 (+.f64 (.f64 d1 3) (.f64 d1 d2))) (*.f64 d1 d3))
▶	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 1146 to 575 computations (49.8% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
✓	0.1b	(fma.f64 d1 3 (*.f64 d1 d2))

series25.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

17.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
9.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
3×	`fma-def_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

2 → 27

Calls

2 calls:

4.0ms	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))
1.0ms	(fma.f64 d1 3 (*.f64 d1 d2))

simplify130.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

488×	`distribute-rgt-out_binary64`
384×	`distribute-lft-out_binary64`
339×	`distribute-rgt-in_binary64`
326×	`distribute-lft-in_binary64`
279×	`sub-neg_binary64`

Counts

87 → 57

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	870
1	143	811
2	489	808
3	2242	807
4	4661	807
5	5007	807

prune64.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Error

0.0b

Counts

60 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
	32.1b	(fma.f64 (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (*.f64 d1 d3))
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 915 to 424 computations (53.7% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))

series16.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

15.0ms

(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))

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:

1.0ms

(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))

simplify91.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1013×	`distribute-rgt-in_binary64`
985×	`distribute-lft-in_binary64`
731×	`associate-l_binary64`
686×	`associate-r_binary64`
359×	`fma-def_binary64`

Counts

46 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	494
1	50	460
2	122	460
3	567	460
4	4360	460
5	4533	460
6	4978	460
7	4994	460

prune26.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Error

0.0b

Counts

30 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
▶	32.1b	(fma.f64 (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (*.f64 d1 d3))
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 364 to 187 computations (48.6% saved)

localize18.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 d1 3 (*.f64 d1 d2))
✓	0.1b	(sqrt.f64 (fma.f64 d1 3 (*.f64 d1 d2)))
✓	0.2b	(fma.f64 (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (*.f64 d1 d3))

series424.0ms (11.4%)

Counts

2 → 23

Calls

2 calls:

328.0ms	(fma.f64 (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (*.f64 d1 d3))
96.0ms	(sqrt.f64 (fma.f64 d1 3 (*.f64 d1 d2)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64`
3×	`sqrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`
3×	`pow1_binary64`

Counts

2 → 25

Calls

2 calls:

2.0ms	(sqrt.f64 (fma.f64 d1 3 (*.f64 d1 d2)))
1.0ms	(fma.f64 (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (*.f64 d1 d3))

simplify93.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

933×	`fma-def_binary64`
924×	`times-frac_binary64`
818×	`fma-neg_binary64`
246×	`cancel-sign-sub-inv_binary64`
145×	`associate-r_binary64`

Counts

48 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	718
1	153	576
2	406	556
3	1764	548
4	4922	548
5	5552	548

prune152.0ms (4.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	135	3	138

Error

0.0b

Counts

138 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 d1 (+.f64 3 d2) (*.f64 d1 d3))
✓	32.1b	(fma.f64 (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (sqrt.f64 (fma.f64 d1 3 (.f64 d1 d2))) (*.f64 d1 d3))
✓	0.0b	(+.f64 (fma.f64 d1 3 (.f64 d1 d2)) (.f64 d1 d3))

Compiler

Compiled 3037 to 1538 computations (49.4% saved)

regimes299.0ms (8%)

Accuracy

Total 0.0b remaining (67.7%)

Threshold costs 0.0b (67.7%)

Counts

43 → 1

Compiler

Compiled 2564 to 1704 computations (33.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	10	11
2	10	11

end11.0ms (0.3%)

Remove: (sort d2 d3)
Compiler: Compiled 33 to 21 computations (36.4% saved)

sample1.2s (32.2%)

Algorithm

1×

intervals

Results

536.0ms	7518×	body	128	valid
48.0ms	154×	body	1024	valid
45.0ms	683×	body	128	invalid
41.0ms	195×	body	512	valid
17.0ms	133×	body	256	valid

Compiler

Compiled 74 to 47 computations (36.5% saved)

Details

analyze829.0ms (22.2%)

sample51.0ms (1.4%)

simplify12.0ms (0.3%)

prune6.0ms (0.1%)

localize13.0ms (0.3%)

series29.0ms (0.8%)

rewrite17.0ms (0.5%)

simplify106.0ms (2.8%)

prune84.0ms (2.2%)

localize12.0ms (0.3%)

series25.0ms (0.7%)

rewrite6.0ms (0.2%)

simplify130.0ms (3.5%)

prune64.0ms (1.7%)

localize10.0ms (0.3%)

series16.0ms (0.4%)

rewrite1.0ms (0%)

simplify91.0ms (2.4%)

prune26.0ms (0.7%)

localize18.0ms (0.5%)

series424.0ms (11.4%)

rewrite4.0ms (0.1%)

simplify93.0ms (2.5%)

prune152.0ms (4.1%)

regimes299.0ms (8%)

simplify3.0ms (0.1%)

end11.0ms (0.3%)

sample1.2s (32.2%)

Profiling