Details

analyze427.0ms (19.5%)

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)

sample35.0ms (1.6%)

Algorithm

1×

intervals

Results

8.0ms	245×	body	128	valid
1.0ms	7×	body	1024	valid
0.0ms	15×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify10.0ms (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

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))

series7.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

7.0ms

(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))

simplify146.0ms (6.7%)

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

prune19.0ms (0.9%)

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))
	40.1b	(cbrt.f64 (.f64 (.f64 (fma.f64 x (+.f64 y z) (.f64 z 5)) (fma.f64 x (+.f64 y z) (.f64 z 5))) (fma.f64 x (+.f64 y z) (*.f64 z 5))))
▶	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))

Compiler

Compiled 400 to 190 computations (52.5% 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)))

series14.0ms (0.7%)

Counts

2 → 72

Calls

2 calls:

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

simplify72.0ms (3.3%)

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

prune41.0ms (1.9%)

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
▶	25.3b	(fma.f64 5 z (cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 916 to 368 computations (59.8% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 5 z (cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))))
✓	0.1b	(.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))
✓	0.3b	(.f64 (.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y)))
✓	32.6b	(cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y))))

series81.0ms (3.7%)

Counts

4 → 144

Calls

4 calls:

29.0ms	(.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))
22.0ms	(.f64 (.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y)))
16.0ms	(cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y))))
15.0ms	(fma.f64 5 z (cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))))

rewrite103.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Rules

198×	`pow1_binary64`
138×	`associate-*r/_binary64`
86×	`pow-prod-down_binary64`
66×	`add-cbrt-cube_binary64`
60×	`flip-+_binary64`

Counts

4 → 204

Calls

4 calls:

41.0ms	(cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y))))
18.0ms	(.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))
8.0ms	(.f64 (.f64 x (+.f64 z y)) (*.f64 x (+.f64 z y)))
0.0ms	(fma.f64 5 z (cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))))

simplify180.0ms (8.2%)

Algorithm

1×	egg-herbie

Rules

536×	`associate-l_binary64`
378×	`associate-r_binary64`
274×	`exp-prod_binary64`
272×	`unswap-sqr_binary64`
222×	`distribute-rgt-in_binary64`

Counts

348 → 259

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	8168
1	586	6276
2	2380	5961
3	4056	5961
4	4997	5961

prune144.0ms (6.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	259	0	259
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	259	3	262

Error

0.0b

Counts

262 → 3

Alt Table

Status	Error	Program
✓	25.3b	(fma.f64 5 z (cbrt.f64 (.f64 (.f64 (.f64 x (+.f64 z y)) (.f64 x (+.f64 z y))) (*.f64 x (+.f64 z y)))))
✓	0.0b	(fma.f64 5 z (*.f64 x (+.f64 z y)))
✓	0.1b	(fma.f64 x (+.f64 y z) (*.f64 z 5))

Compiler

Compiled 8017 to 2312 computations (71.2% saved)

regimes258.0ms (11.8%)

Accuracy

Total 0.0b remaining (45.6%)

Threshold costs 0.0b (45.6%)

Counts

64 → 1

Compiler

Compiled 4064 to 2626 computations (35.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	12	14

end0.0ms (0%)

Compiler: Compiled 13 to 8 computations (38.5% saved)

sample616.0ms (28.2%)

Algorithm

1×

intervals

Results

249.0ms	7696×	body	128	valid
28.0ms	146×	body	1024	valid
23.0ms	651×	body	128	invalid
11.0ms	108×	body	512	valid
5.0ms	50×	body	256	valid

Compiler

Compiled 75 to 44 computations (41.3% saved)

Details

analyze427.0ms (19.5%)

sample35.0ms (1.6%)

simplify10.0ms (0.5%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series7.0ms (0.3%)

rewrite1.0ms (0%)

simplify146.0ms (6.7%)

prune19.0ms (0.9%)

localize5.0ms (0.2%)

series14.0ms (0.7%)

rewrite6.0ms (0.3%)

simplify72.0ms (3.3%)

prune41.0ms (1.9%)

localize10.0ms (0.4%)

series81.0ms (3.7%)

rewrite103.0ms (4.7%)

simplify180.0ms (8.2%)

prune144.0ms (6.6%)

regimes258.0ms (11.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample616.0ms (28.2%)

Profiling