Details

analyze481.0ms (28.1%)

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample25.0ms (1.5%)

Algorithm

1×

intervals

Results

8.0ms	242×	body	128	valid
5.0ms	9×	body	512	valid
1.0ms	26×	body	128	invalid
0.0ms	3×	body	1024	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

22×	`fma-def_binary64`
7×	`+-commutative_binary64`
5×	`*-commutative_binary64`
3×	`associate-+r+_binary64`
3×	`associate-+l+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	20	11
2	31	11
3	45	11
4	54	11
5	55	11
6	53	11

prune3.0ms (0.2%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 42 to 25 computations (40.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

series49.0ms (2.9%)

Counts

1 → 36

Calls

1 calls:

49.0ms

(fma.f64 x (+.f64 y z) (*.f64 z 5))

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:

0.0ms

(fma.f64 x (+.f64 y z) (*.f64 z 5))

simplify101.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

620×	`unswap-sqr_binary64`
584×	`distribute-rgt-in_binary64`
582×	`*-commutative_binary64`
579×	`distribute-lft-in_binary64`
488×	`distribute-rgt-out_binary64`

Counts

46 → 27

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	514
1	38	488
2	88	488
3	368	488
4	2137	488
5	1950	488
6	2200	488
7	2601	488
8	3098	488
9	3182	488
10	4808	488
11	5003	488

prune18.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Error

Counts

28 → 3

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
	0.1b	(+.f64 (.f64 y x) (+.f64 (.f64 z x) (*.f64 5 z)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 368 to 176 computations (52.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (+.f64 z y))
✓	0.1b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

series17.0ms (1%)

Counts

2 → 72

Calls

2 calls:

9.0ms	(*.f64 x (+.f64 z y))
8.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 35

Calls

2 calls:

4.0ms	(*.f64 x (+.f64 z y))
0.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

simplify72.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

863×	`associate-+l+_binary64`
811×	`fma-def_binary64`
666×	`unswap-sqr_binary64`
295×	`associate-l_binary64`
281×	`distribute-lft-in_binary64`

Counts

107 → 69

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	67	1035
1	159	955
2	476	955
3	1283	955
4	2254	955
5	3796	955
6	4987	955

prune33.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	70	2	72

Error

Counts

72 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 879 to 355 computations (59.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	0.0b	(*.f64 z (+.f64 x 5))

series12.0ms (0.7%)

Counts

2 → 60

Calls

2 calls:

8.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))
5.0ms	(*.f64 z (+.f64 x 5))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 35

Calls

2 calls:

4.0ms	(*.f64 z (+.f64 x 5))
0.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))

simplify112.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary64`
652×	`unswap-sqr_binary64`
370×	`+-commutative_binary64`
335×	`associate-+r+_binary64`
334×	`associate-+l+_binary64`

Counts

95 → 68

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	925
1	149	872
2	454	872
3	1290	872
4	2505	872
5	3028	872
6	4357	872
7	3995	872
8	4894	872
9	4917	872

prune33.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	68	2	70

Error

Counts

70 → 2

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 887 to 510 computations (42.5% saved)

regimes74.0ms (4.3%)

Accuracy

Total 0.0b remaining (62%)

Threshold costs 0.0b (62%)

Counts

21 → 1

Compiler

Compiled 792 to 530 computations (33.1% saved)

simplify2.0ms (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

end0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample640.0ms (37.5%)

Algorithm

1×

intervals

Results

284.0ms	7676×	body	128	valid
22.0ms	165×	body	1024	valid
22.0ms	646×	body	128	invalid
9.0ms	101×	body	512	valid
4.0ms	57×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 49 to 33 computations (32.7% saved)

Details

analyze481.0ms (28.1%)

sample25.0ms (1.5%)

simplify8.0ms (0.5%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series49.0ms (2.9%)

rewrite1.0ms (0%)

simplify101.0ms (5.9%)

prune18.0ms (1.1%)

localize5.0ms (0.3%)

series17.0ms (1%)

rewrite6.0ms (0.4%)

simplify72.0ms (4.2%)

prune33.0ms (1.9%)

localize5.0ms (0.3%)

series12.0ms (0.7%)

rewrite6.0ms (0.4%)

simplify112.0ms (6.5%)

prune33.0ms (1.9%)

regimes74.0ms (4.3%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample640.0ms (37.5%)

Profiling