Details

analyze339.0ms (16.7%)

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)

sample875.0ms (43%)

Symmetry

(sort x y)

Results

771.0ms	8256×	body	128	valid
74.0ms	781×	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

4.9b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	4.9b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (*.f64 x y) z)

series11.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

rewrite46.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
367×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Counts

1 → 47

Calls

1 calls:

45.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

83 → 48

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

prune33.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Error

0.0b

Counts

49 → 6

Alt Table

Status	Error	Program
	8.2b	(*.f64 x (/.f64 1 (/.f64 z y)))
✓	4.9b	(/.f64 (*.f64 x y) z)
	26.3b	(pow.f64 (sqrt.f64 (/.f64 (*.f64 x y) z)) 2)
	5.6b	(*.f64 (/.f64 x z) y)
▶	4.9b	(.f64 (.f64 x y) (/.f64 1 z))
	8.0b	(.f64 x (.f64 y (/.f64 1 z)))

Compiler

Compiled 587 to 235 computations (60% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.8b	(.f64 (.f64 x y) (/.f64 1 z))

series15.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

15.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

rewrite73.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`log1p-expm1-u_binary64`
702×	`expm1-log1p-u_binary64`
137×	`expm1-udef_binary64`
137×	`log1p-udef_binary64`
127×	`log-pow_binary64`

Counts

1 → 28

Calls

1 calls:

72.0ms

(*.f64 (*.f64 x y) (/.f64 1 z))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	161	7
2	1858	7
3	4970	7
4	4983	7

simplify12.0ms (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

prune19.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	29	6	35

Error

Counts

35 → 6

Alt Table

Status	Error	Program
✓	4.9b	(/.f64 (*.f64 x y) z)
▶	5.0b	(/.f64 y (/.f64 z x))
	7.9b	(/.f64 x (/.f64 z y))
	5.6b	(*.f64 (/.f64 x z) y)
✓	4.9b	(.f64 (.f64 x y) (/.f64 1 z))
	8.0b	(.f64 x (.f64 y (/.f64 1 z)))

Compiler

Compiled 327 to 153 computations (53.2% 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:

13.0ms

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

rewrite78.0ms (3.8%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`
69×	`add-sqr-sqrt_binary64`

Counts

1 → 44

Calls

1 calls:

76.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify12.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

80 → 45

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

prune24.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	45	6	51

Error

Counts

51 → 6

Alt Table

Status	Error	Program
✓	4.9b	(/.f64 (*.f64 x y) z)
✓	5.0b	(/.f64 y (/.f64 z x))
	8.0b	(*.f64 x (/.f64 y z))
	7.9b	(/.f64 x (/.f64 z y))
▶	5.6b	(*.f64 (/.f64 x z) y)
✓	4.9b	(.f64 (.f64 x y) (/.f64 1 z))

Compiler

Compiled 498 to 196 computations (60.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series11.0ms (0.5%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

rewrite43.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log1p-expm1-u_binary64`
629×	`expm1-log1p-u_binary64`
349×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Counts

1 → 29

Calls

1 calls:

42.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

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

simplify11.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Counts

65 → 30

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

prune17.0ms (0.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	30	6	36

Error

Counts

36 → 6

Alt Table

Status	Error	Program
✓	4.9b	(/.f64 (*.f64 x y) z)
✓	5.0b	(/.f64 y (/.f64 z x))
	8.0b	(*.f64 x (/.f64 y z))
	7.9b	(/.f64 x (/.f64 z y))
✓	5.6b	(*.f64 (/.f64 x z) y)
✓	4.9b	(.f64 (.f64 x y) (/.f64 1 z))

Compiler

Compiled 305 to 125 computations (59% saved)

regimes145.0ms (7.1%)

Accuracy

Total 3.1b remaining (99.8%)

Threshold costs 0b (0%)

Counts

13 → 4

Compiler

Compiled 805 to 511 computations (36.5% saved)

bsearch1.0ms (0.1%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	67
1	27	67
2	26	67

end213.0ms (10.5%)

Compiler: Compiled 246 to 112 computations (54.5% saved)

Details

analyze339.0ms (16.7%)

sample875.0ms (43%)

simplify9.0ms (0.4%)

prune1.0ms (0.1%)

localize5.0ms (0.2%)

series11.0ms (0.5%)

rewrite46.0ms (2.3%)

simplify12.0ms (0.6%)

prune33.0ms (1.6%)

localize6.0ms (0.3%)

series15.0ms (0.7%)

rewrite73.0ms (3.6%)

simplify12.0ms (0.6%)

prune19.0ms (0.9%)

localize3.0ms (0.2%)

series13.0ms (0.6%)

rewrite78.0ms (3.8%)

simplify12.0ms (0.6%)

prune24.0ms (1.2%)

localize3.0ms (0.2%)

series11.0ms (0.5%)

rewrite43.0ms (2.1%)

simplify11.0ms (0.6%)

prune17.0ms (0.8%)

regimes145.0ms (7.1%)

bsearch1.0ms (0.1%)

simplify4.0ms (0.2%)

end213.0ms (10.5%)

Profiling