Details

analyze800.0ms (21.3%)

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 (30.7%)

Symmetry

(sort a1 a2)

(sort b1 b2)

Results

888.0ms	8256×	body	128	valid
221.0ms	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

prune1.0ms (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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series29.0ms (0.8%)

Counts

1 → 48

Calls

1 calls:

29.0ms

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

rewrite50.0ms (1.3%)

Algorithm

2×	batch-egg-rewrite

Rules

59× egg-rr

Counts

1 → 59

Calls

2 calls:

49.0ms	((/.f64 (.f64 a1 a2) (.f64 b1 b2)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

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

107 → 60

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

prune49.0ms (1.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	51	9	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Error

0.0b

Counts

61 → 9

Alt Table

Status	Error	Program
	12.0b	(.f64 (/.f64 1 b1) (/.f64 (.f64 a1 a2) b2))
	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))
	14.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
	11.1b	(pow.f64 (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))) 3)
▶	9.9b	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
	12.1b	(.f64 a1 (.f64 a2 (/.f64 1 (*.f64 b1 b2))))
	13.4b	(*.f64 a1 (/.f64 1 (/.f64 b1 (/.f64 a2 b2))))

Compiler

Compiled 952 to 369 computations (61.2% saved)

localize5.0ms (0.1%)

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))

series44.0ms (1.2%)

Counts

2 → 84

Calls

2 calls:

27.0ms	(.f64 (/.f64 a1 (.f64 b1 b2)) a2)
16.0ms	(/.f64 a1 (*.f64 b1 b2))

rewrite55.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

69× egg-rr

Counts

2 → 69

Calls

2 calls:

53.0ms	((/.f64 a1 (.f64 b1 b2)) (.f64 (/.f64 a1 (*.f64 b1 b2)) a2))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	166	17
2	2229	17
3	5427	17
0	0	0
1	0	0

simplify27.0ms (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

153 → 72

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

prune53.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	69	3	72
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	73	8	81

Error

Counts

81 → 8

Alt Table

Status	Error	Program
	12.1b	(.f64 (.f64 (/.f64 a1 b1) (/.f64 1 b2)) a2)
	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.5b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	14.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))
	11.1b	(pow.f64 (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))) 3)
	11.8b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
▶	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))

Compiler

Compiled 970 to 392 computations (59.6% saved)

localize7.0ms (0.2%)

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)))

series55.0ms (1.5%)

Counts

3 → 108

Calls

3 calls:

29.0ms	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
17.0ms	(.f64 a1 (/.f64 1 (.f64 b1 b2)))
9.0ms	(/.f64 1 (*.f64 b1 b2))

rewrite55.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

75× egg-rr

Counts

3 → 75

Calls

2 calls:

54.0ms	((.f64 a1 (/.f64 1 (.f64 b1 b2))) (.f64 a2 (.f64 a1 (/.f64 1 (.f64 b1 b2)))) (/.f64 1 (.f64 b1 b2)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	202	24
2	2397	24
3	5615	24
0	0	0
1	0	0

simplify31.0ms (0.8%)

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

183 → 79

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

prune50.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	78	1	79
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	79	8	87

Error

Counts

87 → 8

Alt Table

Status	Error	Program
	12.5b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	14.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
	11.8b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
	12.0b	(*.f64 a2 (/.f64 (/.f64 a1 b1) b2))
▶	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))
	11.1b	(pow.f64 (cbrt.f64 (/.f64 (.f64 a1 a2) (.f64 b1 b2))) 3)
✓	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))

Compiler

Compiled 1028 to 491 computations (52.2% 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 (0.8%)

Counts

1 → 48

Calls

1 calls:

28.0ms

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

rewrite52.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

64× egg-rr

Counts

1 → 64

Calls

2 calls:

50.0ms	((*.f64 (/.f64 a1 b2) (/.f64 a2 b1)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify22.0ms (0.6%)

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

112 → 64

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

prune44.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	65	7	72

Error

Counts

72 → 7

Alt Table

Status	Error	Program
	12.5b	(/.f64 (*.f64 (/.f64 a1 b1) a2) b2)
	14.0b	(*.f64 (/.f64 a1 b1) (/.f64 a2 b2))
✓	10.7b	(*.f64 (/.f64 a1 b2) (/.f64 a2 b1))
	12.1b	(.f64 (/.f64 (.f64 a1 a2) b1) (/.f64 1 b2))
	11.8b	(/.f64 a1 (/.f64 (*.f64 b1 b2) a2))
✓	9.9b	(.f64 a2 (.f64 a1 (/.f64 1 (*.f64 b1 b2))))
	10.0b	(/.f64 a2 (*.f64 (/.f64 b2 a1) b1))

Compiler

Compiled 711 to 252 computations (64.6% saved)

regimes727.0ms (19.3%)

Accuracy

Total 2.4b remaining (99.4%)

Threshold costs 0b (0%)

Counts

39 → 5

Compiler

Compiled 4079 to 2631 computations (35.5% saved)

bsearch2.0ms (0%)

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

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	110
1	33	110
2	33	110

end381.0ms (10.1%)

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

Details

analyze800.0ms (21.3%)

sample1.2s (30.7%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series29.0ms (0.8%)

rewrite50.0ms (1.3%)

simplify19.0ms (0.5%)

prune49.0ms (1.3%)

localize5.0ms (0.1%)

series44.0ms (1.2%)

rewrite55.0ms (1.5%)

simplify27.0ms (0.7%)

prune53.0ms (1.4%)

localize7.0ms (0.2%)

series55.0ms (1.5%)

rewrite55.0ms (1.5%)

simplify31.0ms (0.8%)

prune50.0ms (1.3%)

localize5.0ms (0.1%)

series28.0ms (0.8%)

rewrite52.0ms (1.4%)

simplify22.0ms (0.6%)

prune44.0ms (1.2%)

regimes727.0ms (19.3%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end381.0ms (10.1%)

Profiling