Details

analyze760.0ms (30%)

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)

sample995.0ms (39.3%)

Results

827.0ms	7972×	body	128	valid
66.0ms	681×	body	128	invalid
41.0ms	150×	body	1024	valid
22.0ms	96×	body	512	valid
7.0ms	38×	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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(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))

series8.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

8.0ms

(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))

simplify97.0ms (3.8%)

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

prune19.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

0.0b

Counts

28 → 4

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) (cbrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)))) (cbrt.f64 (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)))
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 432 to 212 computations (50.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.5%)

Counts

2 → 72

Calls

2 calls:

7.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))
6.0ms	(*.f64 x (+.f64 z y))

rewrite6.0ms (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:

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

simplify69.0ms (2.7%)

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

prune32.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	2	0	2
Picked	0	1	1
Done	1	0	1
Total	71	2	73

Error

0.0b

Counts

73 → 2

Alt Table

Status	Error	Program
▶	0.0b	(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 2 expressions with local error:

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

series12.0ms (0.5%)

Counts

2 → 60

Calls

2 calls:

8.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))
4.0ms	(*.f64 z (+.f64 x 5))

rewrite6.0ms (0.2%)

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)))

simplify118.0ms (4.6%)

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 → 58

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

prune30.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	57	3	60

Error

Counts

60 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
▶	34.4b	(fma.f64 y x (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5))))
✓	0.0b	(fma.f64 y x (*.f64 z (+.f64 x 5)))

Compiler

Compiled 762 to 416 computations (45.4% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5))))
✓	0.1b	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5)))
✓	0.2b	(*.f64 (sqrt.f64 z) (+.f64 x 5))

series30.0ms (1.2%)

Counts

3 → 64

Calls

3 calls:

12.0ms	(*.f64 (sqrt.f64 z) (+.f64 x 5))
11.0ms	(fma.f64 y x (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5))))
6.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5)))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 68

Calls

3 calls:

8.0ms	(.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5)))
6.0ms	(*.f64 (sqrt.f64 z) (+.f64 x 5))
0.0ms	(fma.f64 y x (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5))))

simplify92.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary64`
520×	`distribute-rgt-in_binary64`
519×	`distribute-lft-in_binary64`
345×	`unswap-sqr_binary64`
283×	`associate-+r+_binary64`

Counts

132 → 118

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	1406
1	228	1290
2	742	1290
3	2168	1290
4	4048	1290
5	4498	1290
6	5256	1290

prune56.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Error

Counts

121 → 3

Alt Table

Status	Error	Program
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	34.4b	(fma.f64 y x (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (+.f64 x 5))))
✓	0.0b	(fma.f64 y x (*.f64 z (+.f64 x 5)))

Compiler

Compiled 1988 to 952 computations (52.1% saved)

regimes86.0ms (3.4%)

Accuracy

Total 0.0b remaining (75.7%)

Threshold costs 0.0b (75.7%)

Counts

23 → 1

Compiler

Compiled 996 to 650 computations (34.7% 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

end50.0ms (2%)

Compiler: Compiled 59 to 37 computations (37.3% saved)

Details

analyze760.0ms (30%)

sample995.0ms (39.3%)

simplify8.0ms (0.3%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series8.0ms (0.3%)

rewrite1.0ms (0%)

simplify97.0ms (3.8%)

prune19.0ms (0.8%)

localize6.0ms (0.2%)

series13.0ms (0.5%)

rewrite6.0ms (0.3%)

simplify69.0ms (2.7%)

prune32.0ms (1.3%)

localize5.0ms (0.2%)

series12.0ms (0.5%)

rewrite6.0ms (0.2%)

simplify118.0ms (4.6%)

prune30.0ms (1.2%)

localize7.0ms (0.3%)

series30.0ms (1.2%)

rewrite17.0ms (0.7%)

simplify92.0ms (3.6%)

prune56.0ms (2.2%)

regimes86.0ms (3.4%)

simplify2.0ms (0.1%)

end50.0ms (2%)

Profiling