Details

analyze94.0ms (5.4%)

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)

sample767.0ms (44.5%)

Results

734.0ms

8256×

body

128

valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify7.0ms (0.4%)

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))

series11.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

11.0ms

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

rewrite45.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

45× egg-rr

Counts

1 → 45

Calls

2 calls:

45.0ms	((/.f64 (*.f64 x y) (+.f64 y 1)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify72.0ms (4.2%)

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

69 → 60

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

prune35.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Error

Counts

61 → 4

Alt Table

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

Compiler

Compiled 772 to 434 computations (43.8% saved)

localize5.0ms (0.3%)

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))

series17.0ms (1%)

Counts

3 → 48

Calls

3 calls:

13.0ms	(*.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)

rewrite62.0ms (3.6%)

Algorithm

2×	batch-egg-rewrite

Rules

102× egg-rr

Counts

3 → 102

Calls

2 calls:

60.0ms	((/.f64 1 (/.f64 (+.f64 y 1) y)) (*.f64 x (/.f64 1 (/.f64 (+.f64 y 1) y))) (/.f64 (+.f64 y 1) y))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	179	24
2	2289	24
3	5668	24
0	0	0
1	0	0

simplify78.0ms (4.5%)

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

150 → 133

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

prune68.0ms (3.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	134	3	137

Error

Counts

137 → 3

Alt Table

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

Compiler

Compiled 1645 to 1077 computations (34.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series6.0ms (0.4%)

Counts

1 → 15

Calls

1 calls:

6.0ms

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

rewrite57.0ms (3.3%)

Algorithm

2×	batch-egg-rewrite

Rules

105× egg-rr

Counts

1 → 105

Calls

2 calls:

54.0ms	((-.f64 x (/.f64 x y)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

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

simplify19.0ms (1.1%)

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

120 → 111

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

prune46.0ms (2.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Error

Counts

114 → 3

Alt Table

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

Compiler

Compiled 2912 to 809 computations (72.2% 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)))

series15.0ms (0.9%)

Counts

2 → 27

Calls

2 calls:

10.0ms	(*.f64 x (-.f64 y (pow.f64 y 2)))
5.0ms	(-.f64 y (pow.f64 y 2))

rewrite64.0ms (3.7%)

Algorithm

2×	batch-egg-rewrite

Rules

100× egg-rr

Counts

2 → 100

Calls

2 calls:

61.0ms	((*.f64 x (-.f64 y (pow.f64 y 2))) (-.f64 y (pow.f64 y 2)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	153	17
2	1784	17
3	5206	17
0	0	0
1	0	0

simplify105.0ms (6.1%)

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

127 → 109

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

prune42.0ms (2.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Error

Counts

112 → 3

Alt Table

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

Compiler

Compiled 2084 to 774 computations (62.9% saved)

regimes39.0ms (2.3%)

Accuracy

Total 0.1b remaining (88.1%)

Threshold costs 0.1b (88.1%)

Counts

12 → 1

Compiler

Compiled 300 to 194 computations (35.3% 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

end54.0ms (3.1%)

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

Details

analyze94.0ms (5.4%)

sample767.0ms (44.5%)

simplify7.0ms (0.4%)

prune4.0ms (0.2%)

localize4.0ms (0.2%)

series11.0ms (0.6%)

rewrite45.0ms (2.6%)

simplify72.0ms (4.2%)

prune35.0ms (2%)

localize5.0ms (0.3%)

series17.0ms (1%)

rewrite62.0ms (3.6%)

simplify78.0ms (4.5%)

prune68.0ms (3.9%)

localize3.0ms (0.2%)

series6.0ms (0.4%)

rewrite57.0ms (3.3%)

simplify19.0ms (1.1%)

prune46.0ms (2.7%)

localize4.0ms (0.2%)

series15.0ms (0.9%)

rewrite64.0ms (3.7%)

simplify105.0ms (6.1%)

prune42.0ms (2.4%)

regimes39.0ms (2.3%)

simplify2.0ms (0.1%)

end54.0ms (3.1%)

Profiling