Details

analyze1.3s (34.1%)

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
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
0%	97.9%	2.1%	9
0%	96.7%	3.3%	10
0%	96%	4%	11
0%	94.5%	5.5%	12
0%	92.9%	7.1%	13
0%	92.7%	7.3%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.6s (42.6%)

Results

856.0ms	7929×	body	128	valid
552.0ms	1059×	body	8192	exit
57.0ms	179×	body	1024	valid
39.0ms	329×	body	128	invalid
24.0ms	97×	body	512	valid
8.0ms	50×	body	256	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 25 to 17 computations (32% saved)

simplify9.0ms (0.2%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series8.0ms (0.2%)

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))

simplify99.0ms (2.7%)

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 (0.5%)

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

Compiler

Compiled 368 to 176 computations (52.2% saved)

localize5.0ms (0.1%)

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)))

series15.0ms (0.4%)

Counts

2 → 72

Calls

2 calls:

8.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))
7.0ms	(*.f64 x (+.f64 z y))

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

simplify74.0ms (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

prune38.0ms (1%)

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)

localize6.0ms (0.2%)

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))

series13.0ms (0.4%)

Counts

2 → 60

Calls

2 calls:

9.0ms	(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)))

simplify117.0ms (3.2%)

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

prune40.0ms (1.1%)

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)))
▶	9.9b	(fma.f64 y x (/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5)))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 919 to 530 computations (42.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 y x (/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5)))
✓	3.1b	(*.f64 z (fma.f64 x x -25))
✓	6.3b	(/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5))

series53.0ms (1.4%)

Counts

3 → 84

Calls

3 calls:

26.0ms	(fma.f64 y x (/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5)))
17.0ms	(/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5))
9.0ms	(*.f64 z (fma.f64 x x -25))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 61

Calls

3 calls:

5.0ms	(/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5))
3.0ms	(*.f64 z (fma.f64 x x -25))
0.0ms	(fma.f64 y x (/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5)))

simplify85.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-def_binary64`
556×	`associate-/l*_binary64`
539×	`times-frac_binary64`
294×	`associate-*l/_binary64`
283×	`associate-/l/_binary64`

Counts

145 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2222
1	286	1848
2	976	1847
3	4448	1847
4	4960	1847

prune72.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Error

Counts

123 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	9.9b	(fma.f64 y x (/.f64 (*.f64 z (fma.f64 x x -25)) (-.f64 x 5)))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 2165 to 1277 computations (41% saved)

regimes111.0ms (3%)

Accuracy

Total 0.0b remaining (79.7%)

Threshold costs 0.0b (79.7%)

Counts

29 → 1

Compiler

Compiled 1276 to 846 computations (33.7% 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

end52.0ms (1.4%)

Compiler: Compiled 60 to 38 computations (36.7% saved)

Details

analyze1.3s (34.1%)

sample1.6s (42.6%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

series8.0ms (0.2%)

rewrite1.0ms (0%)

simplify99.0ms (2.7%)

prune18.0ms (0.5%)

localize5.0ms (0.1%)

series15.0ms (0.4%)

rewrite6.0ms (0.2%)

simplify74.0ms (2%)

prune38.0ms (1%)

localize6.0ms (0.2%)

series13.0ms (0.4%)

rewrite6.0ms (0.2%)

simplify117.0ms (3.2%)

prune40.0ms (1.1%)

localize9.0ms (0.2%)

series53.0ms (1.4%)

rewrite12.0ms (0.3%)

simplify85.0ms (2.3%)

prune72.0ms (2%)

regimes111.0ms (3%)

simplify3.0ms (0.1%)

end52.0ms (1.4%)

Profiling