Details

analyze1.1s (26.1%)

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)

sample36.0ms (0.8%)

Algorithm

1×

intervals

Results

16.0ms	247×	body	128	valid
1.0ms	18×	body	128	invalid
1.0ms	3×	body	1024	valid
1.0ms	3×	body	512	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify16.0ms (0.4%)

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

prune5.0ms (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)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

15.0ms

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

rewrite2.0ms (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 x (+.f64 y z) (*.f64 z 5))

simplify136.0ms (3.2%)

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

prune37.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	3	28

Error

0.0b

Counts

28 → 3

Alt Table

Status	Error	Program
	31.9b	(.f64 (sqrt.f64 (fma.f64 x (+.f64 y z) (.f64 z 5))) (sqrt.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)))

Compiler

Compiled 401 to 195 computations (51.4% saved)

localize11.0ms (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)))

series29.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

16.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))
13.0ms	(*.f64 x (+.f64 z y))

rewrite12.0ms (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:

8.0ms	(*.f64 x (+.f64 z y))
1.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

simplify113.0ms (2.6%)

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

prune63.0ms (1.5%)

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	0	0	0
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)

localize12.0ms (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))

series25.0ms (0.6%)

Counts

2 → 60

Calls

2 calls:

17.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))
8.0ms	(*.f64 z (+.f64 x 5))

rewrite12.0ms (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:

9.0ms	(*.f64 z (+.f64 x 5))
1.0ms	(fma.f64 y x (*.f64 z (+.f64 x 5)))

simplify170.0ms (4%)

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

prune101.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	67	3	70

Error

Counts

70 → 3

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)))
▶	11.7b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))

Compiler

Compiled 937 to 546 computations (41.7% saved)

localize27.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))
✓	0.0b	(+.f64 (pow.f64 x 3) 125)
✓	2.1b	(*.f64 z (+.f64 (pow.f64 x 3) 125))
✓	9.6b	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))

series294.0ms (6.8%)

Counts

4 → 96

Calls

4 calls:

148.0ms	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))
117.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
24.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
5.0ms	(+.f64 (pow.f64 x 3) 125)

rewrite53.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`fma-def_binary64`
11×	`add-cube-cbrt_binary64`
11×	`add-cbrt-cube_binary64`

Counts

4 → 88

Calls

4 calls:

22.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
13.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
10.0ms	(+.f64 (pow.f64 x 3) 125)
1.0ms	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))

simplify178.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

702×	`distribute-rgt-in_binary64`
686×	`distribute-lft-in_binary64`
518×	`times-frac_binary64`
448×	`fma-def_binary64`
104×	`associate-l_binary64`

Counts

184 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	3370
1	390	3002
2	1563	2610
3	5174	2610

prune304.0ms (7.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Error

Counts

166 → 3

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)))
✓	11.7b	(fma.f64 y x (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5)))))

Compiler

Compiled 4616 to 3097 computations (32.9% saved)

regimes298.0ms (6.9%)

Accuracy

Total 0.0b remaining (78.9%)

Threshold costs 0.0b (78.9%)

Counts

40 → 1

Compiler

Compiled 2348 to 1614 computations (31.3% saved)

simplify5.0ms (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

end1.0ms (0%)

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

sample1.2s (28.2%)

Algorithm

1×

intervals

Results

516.0ms	7664×	body	128	valid
43.0ms	161×	body	1024	valid
42.0ms	649×	body	128	invalid
20.0ms	109×	body	512	valid
8.0ms	65×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 74 to 51 computations (31.1% saved)

Details

analyze1.1s (26.1%)

sample36.0ms (0.8%)

simplify16.0ms (0.4%)

prune5.0ms (0.1%)

localize12.0ms (0.3%)

series15.0ms (0.4%)

rewrite2.0ms (0%)

simplify136.0ms (3.2%)

prune37.0ms (0.9%)

localize11.0ms (0.2%)

series29.0ms (0.7%)

rewrite12.0ms (0.3%)

simplify113.0ms (2.6%)

prune63.0ms (1.5%)

localize12.0ms (0.3%)

series25.0ms (0.6%)

rewrite12.0ms (0.3%)

simplify170.0ms (4%)

prune101.0ms (2.3%)

localize27.0ms (0.6%)

series294.0ms (6.8%)

rewrite53.0ms (1.2%)

simplify178.0ms (4.1%)

prune304.0ms (7.1%)

regimes298.0ms (6.9%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.2s (28.2%)

Profiling