Details

analyze818.0ms (19.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.2s (30.1%)

Symmetry

(sort a1 a2)

(sort b1 b2)

Results

1.0s	8256×	body	128	valid
198.0ms	1832×	body	128	invalid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	17	10
2	38	10
3	63	10
4	69	10
5	68	10
6	68	10

prune2.0ms (0%)

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

10.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	10.5b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.2b	(/.f64 (.f64 a1 a2) (.f64 b1 b2))

series88.0ms (2.1%)

Counts

1 → 48

Calls

1 calls:

88.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite57.0ms (1.4%)

Algorithm

1×	egg-rewrite

Rules

82× egg

Counts

1 → 82

Calls

1 calls:

55.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	169	10
2	2445	10
3	5004	10

simplify19.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Counts

130 → 83

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	480
1	17	480
2	38	480
3	63	480
4	69	480
5	68	480
6	68	480

prune57.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Error

0.0b

Counts

84 → 8

Alt Table

Status	Error	Program
	12.2b	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
	12.5b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	12.1b	(.f64 a1 (.f64 a2 (/.f64 1 (*.f64 b1 b2))))
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
▶	9.9b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))

Compiler

Compiled 1148 to 402 computations (65% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	5.5b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
✓	6.3b	(/.f64 a1 (*.f64 b1 b2))

series45.0ms (1.1%)

Counts

2 → 84

Calls

2 calls:

30.0ms	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
15.0ms	(/.f64 a1 (*.f64 b1 b2))

rewrite100.0ms (2.4%)

Algorithm

2×	egg-rewrite

Rules

59×	`egg`
50×	`egg`

Counts

2 → 109

Calls

2 calls:

52.0ms	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
46.0ms	(/.f64 a1 (*.f64 b1 b2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1687	7
3	5374	7
0	8	10
1	166	10
2	2229	10
3	5427	10

simplify28.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
8×	`associate-*r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Counts

193 → 112

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	732
1	19	732
2	40	732
3	63	732
4	69	732
5	68	732
6	68	732

prune71.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	113	7	120

Error

Counts

120 → 7

Alt Table

Status	Error	Program
	12.2b	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
▶	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
	11.8b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.0b	(*.f64 (/.f64 (/.f64 a1 b1) b2) a2)

Compiler

Compiled 1421 to 496 computations (65.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (*.f64 b1 b2))
✓	5.5b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
✓	6.1b	(.f64 a1 (/.f64 1 (.f64 b1 b2)))

series59.0ms (1.4%)

Counts

3 → 108

Calls

3 calls:

29.0ms	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
22.0ms	(.f64 a1 (/.f64 1 (.f64 b1 b2)))
7.0ms	(/.f64 1 (*.f64 b1 b2))

rewrite153.0ms (3.7%)

Algorithm

3×	egg-rewrite

Rules

63×	`egg`
55×	`egg`
42×	`egg`

Counts

3 → 160

Calls

3 calls:

61.0ms	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
48.0ms	(.f64 a1 (/.f64 1 (.f64 b1 b2)))
42.0ms	(/.f64 1 (*.f64 b1 b2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	161	7
2	1875	7
3	4954	7
0	10	10
1	202	10
2	2397	10
3	5615	10
0	6	7
1	119	7
2	1341	7
3	5015	7

simplify31.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-/r/_binary64`
8×	`associate-*r/_binary64`
8×	`associate-/r*_binary64`
7×	`*-commutative_binary64`

Counts

268 → 162

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	900
1	25	900
2	48	900
3	71	900
4	77	900
5	76	900
6	75	900

prune87.0ms (2.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	162	7	169

Error

Counts

169 → 7

Alt Table

Status	Error	Program
	12.2b	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
✓	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
	11.8b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
▶	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.0b	(*.f64 (/.f64 (/.f64 a1 b1) b2) a2)

Compiler

Compiled 2166 to 945 computations (56.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	10.3b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

series28.0ms (0.7%)

Counts

1 → 48

Calls

1 calls:

28.0ms

(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

rewrite55.0ms (1.3%)

Algorithm

1×	egg-rewrite

Rules

89× egg

Counts

1 → 89

Calls

1 calls:

54.0ms

(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	175	10
2	2510	10
3	5115	10

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
9×	`associate-*r/_binary64`
9×	`associate-/r/_binary64`
7×	`*-commutative_binary64`
6×	`associate-/r*_binary64`

Counts

137 → 89

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	480
1	17	480
2	38	480
3	63	480
4	69	480
5	68	480
6	68	480

prune51.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	89	7	96

Error

Counts

96 → 7

Alt Table

Status	Error	Program
	12.2b	(/.f64 (*.f64 a1 (/.f64 a2 b2)) b1)
✓	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
	12.6b	(/.f64 a1 (*.f64 b2 (/.f64 b1 a2)))
	12.7b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
✓	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))
	12.0b	(*.f64 (/.f64 (/.f64 a1 b1) b2) a2)

Compiler

Compiled 1014 to 328 computations (67.7% saved)

regimes690.0ms (16.7%)

Accuracy

Total 2.4b remaining (99.3%)

Threshold costs 0b (0%)

Counts

40 → 5

Compiler

Compiled 3943 to 2503 computations (36.5% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	110
1	33	110
2	33	110

end389.0ms (9.4%)

Compiler: Compiled 555 to 215 computations (61.3% saved)

Details

analyze818.0ms (19.9%)

sample1.2s (30.1%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series88.0ms (2.1%)

rewrite57.0ms (1.4%)

simplify19.0ms (0.5%)

prune57.0ms (1.4%)

localize8.0ms (0.2%)

series45.0ms (1.1%)

rewrite100.0ms (2.4%)

simplify28.0ms (0.7%)

prune71.0ms (1.7%)

localize6.0ms (0.1%)

series59.0ms (1.4%)

rewrite153.0ms (3.7%)

simplify31.0ms (0.7%)

prune87.0ms (2.1%)

localize5.0ms (0.1%)

series28.0ms (0.7%)

rewrite55.0ms (1.3%)

simplify20.0ms (0.5%)

prune51.0ms (1.2%)

regimes690.0ms (16.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end389.0ms (9.4%)

Profiling