Details

analyze90.0ms (6.5%)

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
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Compiler

Compiled 10 to 5 computations (50% saved)

sample846.0ms (60.8%)

Symmetry

(sort x y)

Results

771.0ms	8256×	body	128	valid
7.0ms	91×	body	128	invalid

Compiler

Compiled 29 to 14 computations (51.7% saved)

simplify9.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

70×	`fma-def_binary64`
24×	`associate-+l+_binary64`
18×	`associate-+r+_binary64`
10×	`distribute-rgt-in_binary64`
8×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	12	10
2	26	10
3	46	10
4	81	10
5	101	10
6	117	10
7	130	10
8	132	10
9	132	10

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 27 to 12 computations (55.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
6×	`swap-sqr_binary64`

Counts

1 → 42

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

simplify64.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

728×	`associate-+l+_binary64`
594×	`unswap-sqr_binary64`
430×	`distribute-rgt-in_binary64`
422×	`distribute-lft-in_binary64`
327×	`fma-def_binary64`

Counts

66 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	994
1	200	853
2	739	757
3	2462	692
4	5240	692

prune32.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	2	65

Error

Counts

65 → 2

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 918 to 273 computations (70.3% saved)

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

series44.0ms (3.1%)

Counts

3 → 72

Calls

3 calls:

33.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
5.0ms	(*.f64 y (+.f64 x y))
5.0ms	(*.f64 x (+.f64 x y))

rewrite19.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip-+_binary64`

Counts

3 → 73

Calls

3 calls:

6.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
4.0ms	(*.f64 x (+.f64 x y))
4.0ms	(*.f64 y (+.f64 x y))

simplify94.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

873×	`fma-neg_binary64`
401×	`*-commutative_binary64`
387×	`associate-+l+_binary64`
371×	`cancel-sign-sub-inv_binary64`
370×	`associate-+r+_binary64`

Counts

145 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1613
1	380	1512
2	1536	1408
3	3300	1408
4	4869	1408
5	4958	1408

prune63.0ms (4.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	2	132

Error

Counts

132 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
✓	0.0b	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 2314 to 497 computations (78.5% saved)

regimes59.0ms (4.2%)

Accuracy

Total 0.0b remaining (17.3%)

Threshold costs 0.0b (17.3%)

Counts

14 → 1

Compiler

Compiled 546 to 341 computations (37.5% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
1	8	14
2	8	14

end43.0ms (3.1%)

Remove: (sort x y)
Compiler: Compiled 70 to 30 computations (57.1% saved)

Details

analyze90.0ms (6.5%)

sample846.0ms (60.8%)

simplify9.0ms (0.7%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series7.0ms (0.5%)

rewrite9.0ms (0.6%)

simplify64.0ms (4.6%)

prune32.0ms (2.3%)

localize5.0ms (0.4%)

series44.0ms (3.1%)

rewrite19.0ms (1.3%)

simplify94.0ms (6.8%)

prune63.0ms (4.6%)

regimes59.0ms (4.2%)

simplify2.0ms (0.2%)

end43.0ms (3.1%)

Profiling