Details

analyze452.0ms (18.4%)

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)

sample987.0ms (40.1%)

Results

798.0ms	7928×	body	128	valid
69.0ms	706×	body	128	invalid
49.0ms	169×	body	1024	valid
24.0ms	101×	body	512	valid
9.0ms	58×	body	256	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify8.0ms (0.3%)

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 (0.1%)

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series12.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(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))

simplify105.0ms (4.3%)

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

prune17.0ms (0.7%)

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

0.0b

Counts

28 → 3

Alt Table

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

Compiler

Compiled 368 to 176 computations (52.2% saved)

localize5.0ms (0.2%)

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)))

series16.0ms (0.6%)

Counts

2 → 72

Calls

2 calls:

9.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))
6.0ms	(*.f64 x (+.f64 z y))

rewrite7.0ms (0.3%)

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:

5.0ms	(*.f64 x (+.f64 z y))
0.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

simplify78.0ms (3.2%)

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 (1.4%)

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

0.0b

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 (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

4.0ms

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
4×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 25

Calls

1 calls:

4.0ms

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

simplify72.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

898×	`distribute-rgt-in_binary64`
894×	`distribute-lft-in_binary64`
522×	`associate-*l/_binary64`
475×	`fma-def_binary64`
247×	`associate-l_binary64`

Counts

49 → 44

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	417
1	127	387
2	385	387
3	925	387
4	2929	387
5	3014	387
6	3452	387
7	4858	387

prune30.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
	31.2b	(fma.f64 y x (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5))))
▶	0.8b	(fma.f64 y x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (+.f64 x 5))))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 655 to 381 computations (41.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 z) (+.f64 x 5))
✓	0.3b	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (+.f64 x 5)))
✓	0.6b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
✓	0.6b	(cbrt.f64 z)

series180.0ms (7.3%)

Counts

4 → 72

Calls

4 calls:

84.0ms	(*.f64 (cbrt.f64 z) (+.f64 x 5))
40.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
37.0ms	(cbrt.f64 z)
19.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (+.f64 x 5)))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
23×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`

Counts

4 → 114

Calls

4 calls:

9.0ms	(.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (+.f64 x 5)))
8.0ms	(*.f64 (cbrt.f64 z) (+.f64 x 5))
4.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)

simplify92.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

997×	`fma-def_binary64`
579×	`distribute-rgt-in_binary64`
569×	`distribute-lft-in_binary64`
480×	`*-commutative_binary64`
277×	`unswap-sqr_binary64`

Counts

186 → 178

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	1798
1	317	1581
2	1170	1528
3	3040	1513
4	5030	1513

prune110.0ms (4.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	214	3	217

Error

Counts

217 → 3

Alt Table

Status	Error	Program
	31.2b	(fma.f64 y x (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5))))
✓	0.8b	(fma.f64 y x (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (*.f64 (cbrt.f64 z) (+.f64 x 5))))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 4198 to 1750 computations (58.3% saved)

regimes144.0ms (5.8%)

Accuracy

Total 0.0b remaining (57.6%)

Threshold costs 0.0b (57.6%)

Counts

42 → 1

Compiler

Compiled 2024 to 1326 computations (34.5% 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

end53.0ms (2.1%)

Compiler: Compiled 66 to 40 computations (39.4% saved)

Details

analyze452.0ms (18.4%)

sample987.0ms (40.1%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series12.0ms (0.5%)

rewrite1.0ms (0%)

simplify105.0ms (4.3%)

prune17.0ms (0.7%)

localize5.0ms (0.2%)

series16.0ms (0.6%)

rewrite7.0ms (0.3%)

simplify78.0ms (3.2%)

prune33.0ms (1.4%)

localize5.0ms (0.2%)

series4.0ms (0.2%)

rewrite5.0ms (0.2%)

simplify72.0ms (2.9%)

prune30.0ms (1.2%)

localize10.0ms (0.4%)

series180.0ms (7.3%)

rewrite27.0ms (1.1%)

simplify92.0ms (3.7%)

prune110.0ms (4.5%)

regimes144.0ms (5.8%)

simplify3.0ms (0.1%)

end53.0ms (2.1%)

Profiling