Details

analyze95.0ms (4.4%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample776.0ms (35.8%)

Results

748.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10
5	20	10

prune4.0ms (0.2%)

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

8.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.8b	(/.f64 (*.f64 x y) (+.f64 y 1))

series9.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

9.0ms

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

rewrite56.0ms (2.6%)

Algorithm

1×	egg-rewrite

Rules

60× egg

Counts

1 → 60

Calls

1 calls:

55.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	1998	10
3	5074	10

simplify126.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-def_binary64`
398×	`distribute-rgt-out--_binary64`
345×	`distribute-rgt-out_binary64`
287×	`distribute-rgt-neg-in_binary64`
256×	`distribute-lft-neg-in_binary64`

Counts

84 → 75

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	276
1	86	268
2	228	263
3	675	263
4	2403	262
5	4756	262
6	5028	262

prune40.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Error

Counts

76 → 4

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
	30.1b	(-.f64 x (/.f64 x y))
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
	33.5b	(.f64 y (-.f64 x (.f64 y x)))

Compiler

Compiled 934 to 523 computations (44% saved)

localize11.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 y 1) y)
✓	0.0b	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
✓	0.1b	(/.f64 1 (/.f64 (+.f64 y 1) y))

series13.0ms (0.6%)

Counts

3 → 48

Calls

3 calls:

9.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))
2.0ms	(/.f64 1 (/.f64 (+.f64 y 1) y))
2.0ms	(/.f64 (+.f64 y 1) y)

rewrite261.0ms (12%)

Algorithm

3×	egg-rewrite

Rules

61×	`egg`
56×	`egg`
54×	`egg`

Counts

3 → 171

Calls

3 calls:

117.0ms	(/.f64 1 (/.f64 (+.f64 y 1) y))
83.0ms	(/.f64 (+.f64 y 1) y)
57.0ms	(*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y)))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	137	7
2	1759	7
3	4896	7
4	4980	7
5	4933	7
0	8	10
1	179	10
2	2289	10
3	5668	10
0	5	7
1	109	7
2	1412	7
3	4864	7
4	5071	7

simplify85.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

568×	`fma-def_binary64`
396×	`sub-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
314×	`neg-mul-1_binary64`
310×	`fma-neg_binary64`

Counts

219 → 200

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	483
1	120	473
2	326	463
3	906	463
4	3098	463
5	4582	463
6	4964	463

prune97.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	201	3	204

Error

Counts

204 → 3

Alt Table

Status	Error	Program
▶	30.1b	(-.f64 x (/.f64 x y))
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
	33.6b	(*.f64 x (-.f64 y (pow.f64 y 2)))

Compiler

Compiled 2571 to 1677 computations (34.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (/.f64 x y))

series6.0ms (0.3%)

Counts

1 → 15

Calls

1 calls:

6.0ms

(-.f64 x (/.f64 x y))

rewrite68.0ms (3.1%)

Algorithm

1×	egg-rewrite

Rules

108× egg

Counts

1 → 108

Calls

1 calls:

63.0ms

(-.f64 x (/.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	116	7
2	1671	7
3	5253	7

simplify18.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

147×	`fma-def_binary64`
85×	`fma-neg_binary64`
29×	`distribute-rgt-in_binary64`
26×	`distribute-lft-in_binary64`
23×	`cancel-sign-sub-inv_binary64`

Counts

123 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	128
1	29	128
2	56	116
3	85	92
4	151	92
5	234	92
6	288	92
7	291	92
8	254	92

prune44.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	114	3	117

Error

Counts

117 → 3

Alt Table

Status	Error	Program
✓	30.1b	(-.f64 x (/.f64 x y))
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	33.6b	(*.f64 x (-.f64 y (pow.f64 y 2)))

Compiler

Compiled 2977 to 824 computations (72.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 y (pow.f64 y 2))
✓	4.1b	(*.f64 x (-.f64 y (pow.f64 y 2)))

series14.0ms (0.6%)

Counts

2 → 27

Calls

2 calls:

11.0ms	(*.f64 x (-.f64 y (pow.f64 y 2)))
2.0ms	(-.f64 y (pow.f64 y 2))

rewrite166.0ms (7.7%)

Algorithm

2×	egg-rewrite

Rules

100×	`egg`
37×	`egg`

Counts

2 → 137

Calls

2 calls:

113.0ms	(-.f64 y (pow.f64 y 2))
51.0ms	(*.f64 x (-.f64 y (pow.f64 y 2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	153	10
2	1784	10
3	5206	10
0	5	7
1	114	7
2	1311	7
3	4776	7
4	4802	7
5	4919	7

simplify119.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

394×	`unsub-neg_binary64`
380×	`sub-neg_binary64`
360×	`fma-neg_binary64`
318×	`distribute-rgt-neg-in_binary64`
286×	`associate-l_binary64`

Counts

164 → 143

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	245
1	29	245
2	58	245
3	130	245
4	334	245
5	1167	245
6	2322	245
7	4184	245
8	4981	245
9	4996	245
10	4853	245

prune54.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	143	3	146

Error

Counts

146 → 3

Alt Table

Status	Error	Program
✓	30.1b	(-.f64 x (/.f64 x y))
✓	8.3b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	33.6b	(*.f64 x (-.f64 y (pow.f64 y 2)))

Compiler

Compiled 2186 to 807 computations (63.1% saved)

regimes43.0ms (2%)

Accuracy

Total 0.1b remaining (88.1%)

Threshold costs 0.1b (88.1%)

Counts

13 → 1

Compiler

Compiled 327 to 212 computations (35.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	12	13
2	11	13

end44.0ms (2%)

Compiler: Compiled 47 to 32 computations (31.9% saved)

Details

analyze95.0ms (4.4%)

sample776.0ms (35.8%)

simplify7.0ms (0.3%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series9.0ms (0.4%)

rewrite56.0ms (2.6%)

simplify126.0ms (5.8%)

prune40.0ms (1.9%)

localize11.0ms (0.5%)

series13.0ms (0.6%)

rewrite261.0ms (12%)

simplify85.0ms (3.9%)

prune97.0ms (4.5%)

localize3.0ms (0.1%)

series6.0ms (0.3%)

rewrite68.0ms (3.1%)

simplify18.0ms (0.8%)

prune44.0ms (2%)

localize4.0ms (0.2%)

series14.0ms (0.6%)

rewrite166.0ms (7.7%)

simplify119.0ms (5.5%)

prune54.0ms (2.5%)

regimes43.0ms (2%)

simplify2.0ms (0.1%)

end44.0ms (2%)

Profiling