Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.1s (51.7%)

Results

966.0ms	8005×	body	128	valid
42.0ms	134×	body	1024	valid
17.0ms	69×	body	512	valid
11.0ms	48×	body	256	valid

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify11.0ms (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

prune8.0ms (0.4%)

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)

localize11.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series15.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

15.0ms

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

rewrite2.0ms (0.1%)

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))

simplify175.0ms (8.3%)

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

prune34.0ms (1.6%)

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
▶	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
	0.8b	(+.f64 (.f64 y x) (+.f64 (.f64 z x) (*.f64 5 z)))
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 368 to 176 computations (52.2% saved)

localize22.0ms (1.1%)

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)))

series30.0ms (1.4%)

Counts

2 → 72

Calls

2 calls:

15.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))
15.0ms	(*.f64 x (+.f64 z y))

rewrite16.0ms (0.7%)

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:

12.0ms	(*.f64 x (+.f64 z y))
1.0ms	(fma.f64 5 z (*.f64 x (+.f64 z y)))

simplify134.0ms (6.3%)

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

prune74.0ms (3.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	69	3	72

Error

0.0b

Counts

72 → 3

Alt Table

Status	Error	Program
▶	0.5b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 890 to 362 computations (59.3% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (+.f64 x 5))
✓	0.5b	(fma.f64 y x (*.f64 z (+.f64 x 5)))

series27.0ms (1.3%)

Counts

2 → 60

Calls

2 calls:

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

rewrite12.0ms (0.6%)

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)))

simplify202.0ms (9.5%)

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 → 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

prune60.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Error

0.0b

Counts

61 → 3

Alt Table

Status	Error	Program
✓	0.5b	(fma.f64 y x (*.f64 z (+.f64 x 5)))
✓	0.0b	(fma.f64 x (+.f64 y z) (*.f64 z 5))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 743 to 405 computations (45.5% saved)

regimes88.0ms (4.1%)

Accuracy

Total 0.0b remaining (74.1%)

Threshold costs 0.0b (74.1%)

Counts

19 → 1

Compiler

Compiled 720 to 486 computations (32.5% 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

end88.0ms (4.2%)

Compiler: Compiled 55 to 35 computations (36.4% saved)

Details

analyze4.0ms (0.2%)

sample1.1s (51.7%)

simplify11.0ms (0.5%)

prune8.0ms (0.4%)

localize11.0ms (0.5%)

series15.0ms (0.7%)

rewrite2.0ms (0.1%)

simplify175.0ms (8.3%)

prune34.0ms (1.6%)

localize22.0ms (1.1%)

series30.0ms (1.4%)

rewrite16.0ms (0.7%)

simplify134.0ms (6.3%)

prune74.0ms (3.5%)

localize9.0ms (0.4%)

series27.0ms (1.3%)

rewrite12.0ms (0.6%)

simplify202.0ms (9.5%)

prune60.0ms (2.8%)

regimes88.0ms (4.1%)

simplify3.0ms (0.1%)

end88.0ms (4.2%)

Profiling