Details

analyze345.0ms (16.4%)

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
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample857.0ms (40.6%)

Symmetry

(sort x y)

Results

751.0ms	8256×	body	128	valid
67.0ms	768×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7
5	17	7

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

7.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	7.6b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.3b	(/.f64 (*.f64 x y) z)

series16.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

16.0ms

(/.f64 (*.f64 x y) z)

rewrite43.0ms (2%)

Algorithm

2×	batch-egg-rewrite

Rules

46× egg-rr

Counts

1 → 46

Calls

2 calls:

42.0ms	((/.f64 (*.f64 x y) z))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1688	7
3	5384	7
0	0	0
1	0	0

simplify15.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

82 → 47

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune30.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	8	48

Error

Counts

48 → 8

Alt Table

Status	Error	Program
▶	5.6b	(*.f64 (/.f64 x z) y)
✓	7.6b	(/.f64 (*.f64 x y) z)
	7.4b	(.f64 x (.f64 y (/.f64 1 z)))
	36.9b	(cbrt.f64 (pow.f64 (/.f64 (*.f64 x y) z) 3))
	8.1b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
	33.8b	(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 y (sqrt.f64 z)))
	7.3b	(*.f64 (/.f64 x 1) (/.f64 y z))
	7.6b	(.f64 (.f64 x y) (/.f64 1 z))

Compiler

Compiled 626 to 263 computations (58% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(*.f64 (/.f64 x z) y)

series14.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

14.0ms

(*.f64 (/.f64 x z) y)

rewrite44.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

28× egg-rr

Counts

1 → 28

Calls

2 calls:

43.0ms	((*.f64 (/.f64 x z) y))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1630	7
3	5114	7
0	0	0
1	0	0

simplify13.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

64 → 29

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune21.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	3	3	6
Picked	0	1	1
Done	1	0	1
Total	31	6	37

Error

Counts

37 → 6

Alt Table

Status	Error	Program
	7.7b	(/.f64 x (/.f64 z y))
	7.3b	(*.f64 (/.f64 x 1) (/.f64 y z))
▶	5.1b	(/.f64 y (/.f64 z x))
	8.1b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
✓	5.6b	(*.f64 (/.f64 x z) y)
	7.6b	(.f64 (.f64 x y) (/.f64 1 z))

Compiler

Compiled 350 to 160 computations (54.3% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.9b	(/.f64 y (/.f64 z x))

series13.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(/.f64 y (/.f64 z x))

rewrite79.0ms (3.7%)

Algorithm

2×	batch-egg-rewrite

Rules

43× egg-rr

Counts

1 → 43

Calls

2 calls:

78.0ms	((/.f64 y (/.f64 z x)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1850	7
3	5000	7
4	4983	7
0	0	0
1	0	0

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

79 → 44

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune28.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	44	6	50

Error

Counts

50 → 6

Alt Table

Status	Error	Program
✓	5.1b	(/.f64 y (/.f64 z x))
	8.1b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
✓	5.6b	(*.f64 (/.f64 x z) y)
▶	7.3b	(*.f64 x (/.f64 y z))
	7.7b	(/.f64 x (/.f64 z y))
	7.6b	(.f64 (.f64 x y) (/.f64 1 z))

Compiler

Compiled 507 to 207 computations (59.2% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(*.f64 x (/.f64 y z))

series14.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

14.0ms

(*.f64 x (/.f64 y z))

rewrite44.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

27× egg-rr

Counts

1 → 27

Calls

2 calls:

43.0ms	((*.f64 x (/.f64 y z)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1628	7
3	5106	7
0	0	0
1	0	0

simplify17.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`

Counts

63 → 28

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune15.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	28	6	34

Error

Counts

34 → 6

Alt Table

Status	Error	Program
✓	5.1b	(/.f64 y (/.f64 z x))
	8.1b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
✓	5.6b	(*.f64 (/.f64 x z) y)
✓	7.3b	(*.f64 x (/.f64 y z))
	7.7b	(/.f64 x (/.f64 z y))
	7.6b	(.f64 (.f64 x y) (/.f64 1 z))

Compiler

Compiled 297 to 125 computations (57.9% saved)

regimes255.0ms (12.1%)

Accuracy

Total 0.7b remaining (99%)

Threshold costs 0.7b (99%)

Counts

20 → 5

Compiler

Compiled 1334 to 857 computations (35.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	71
1	23	71
2	23	71

end208.0ms (9.8%)

Compiler: Compiled 260 to 110 computations (57.7% saved)

Details

analyze345.0ms (16.4%)

sample857.0ms (40.6%)

simplify9.0ms (0.4%)

prune1.0ms (0.1%)

localize3.0ms (0.2%)

series16.0ms (0.8%)

rewrite43.0ms (2%)

simplify15.0ms (0.7%)

prune30.0ms (1.4%)

localize3.0ms (0.2%)

series14.0ms (0.7%)

rewrite44.0ms (2.1%)

simplify13.0ms (0.6%)

prune21.0ms (1%)

localize3.0ms (0.2%)

series13.0ms (0.6%)

rewrite79.0ms (3.7%)

simplify12.0ms (0.6%)

prune28.0ms (1.3%)

localize3.0ms (0.2%)

series14.0ms (0.7%)

rewrite44.0ms (2.1%)

simplify17.0ms (0.8%)

prune15.0ms (0.7%)

regimes255.0ms (12.1%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end208.0ms (9.8%)

Profiling