Details

analyze570.0ms (13.9%)

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
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
42.1%	57.7%	0.1%	9
56.9%	42.9%	0.1%	10
59.5%	40.4%	0.1%	11
68.1%	31.8%	0.1%	12
75.1%	24.4%	0.5%	13
75.7%	23.3%	1%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.1s (51.8%)

Results

849.0ms	1441×	body	1024	valid
737.0ms	5536×	body	128	valid
287.0ms	845×	body	512	valid
97.0ms	431×	body	256	valid
78.0ms	590×	body	128	invalid
16.0ms	34×	body	1024	invalid
15.0ms	48×	body	512	invalid
6.0ms	29×	body	256	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
10×	`associate-/r/_binary64`
6×	`associate-*l/_binary64`
5×	`associate-*r/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	13	12
2	24	12
3	48	12
4	63	12
5	68	12
6	68	12

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

3.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	3.5b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
✓	0.1b	(/.f64 (sin.f64 y) y)
✓	3.4b	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series44.0ms (1.1%)

Counts

3 → 64

Calls

3 calls:

28.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
13.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

rewrite69.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

525×	`log-prod_binary64`
242×	`pow2_binary64`
172×	`pow1/3_binary64`
165×	`expm1-udef_binary64`
165×	`log1p-udef_binary64`

Counts

3 → 116

Calls

3 calls:

67.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
67.0ms	(/.f64 (sin.f64 y) y)
66.0ms	(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	172	27
2	2449	27
3	5062	27
0	0	0
1	0	0

simplify87.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

695×	`fma-def_binary64`
644×	`associate-l_binary64`
538×	`cancel-sign-sub-inv_binary64`
402×	`associate-/l*_binary64`
366×	`fma-neg_binary64`

Counts

180 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	790
1	144	783
2	404	765
3	1212	759
4	4168	759
5	4875	759
6	5053	759

prune84.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	133	6	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	6	140

Error

0.0b

Counts

140 → 6

Alt Table

Status	Error	Program
	8.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	11.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	3.5b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.8b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	3.6b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
▶	2.7b	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

Compiler

Compiled 2018 to 810 computations (59.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.1b	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))
✓	2.6b	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

series46.0ms (1.1%)

Counts

2 → 60

Calls

2 calls:

28.0ms	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))
18.0ms	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))

rewrite64.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
185×	`expm1-udef_binary64`
185×	`log1p-udef_binary64`
175×	`pow3_binary64`
169×	`log-pow_binary64`

Counts

2 → 84

Calls

2 calls:

62.0ms	(*.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z))
62.0ms	(.f64 x (.f64 (/.f64 (sin.f64 y) y) (/.f64 1 z)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	211	21
2	2707	21
3	5010	21
0	0	0
1	0	0

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

731×	`distribute-rgt-neg-in_binary64`
426×	`associate-r_binary64`
406×	`associate-l_binary64`
316×	`distribute-neg-frac_binary64`
300×	`associate-/l*_binary64`

Counts

144 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	746
1	126	746
2	324	738
3	865	732
4	3416	732
5	5153	732

prune83.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	143	6	149

Error

Counts

149 → 6

Alt Table

Status	Error	Program
	8.9b	(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
	11.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	8.0b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
▶	3.5b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.8b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
	3.6b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

Compiler

Compiled 2069 to 928 computations (55.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 x (/.f64 y (sin.f64 y)))
✓	0.1b	(/.f64 y (sin.f64 y))
✓	3.4b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

series50.0ms (1.2%)

Counts

3 → 64

Calls

3 calls:

28.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
14.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
7.0ms	(/.f64 y (sin.f64 y))

rewrite99.0ms (2.4%)

Algorithm

2×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
423×	`prod-diff_binary64`
190×	`log-div_binary64`
171×	`expm1-udef_binary64`
171×	`log1p-udef_binary64`

Counts

3 → 129

Calls

3 calls:

97.0ms	(/.f64 x (/.f64 y (sin.f64 y)))
97.0ms	(/.f64 y (sin.f64 y))
97.0ms	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	178	27
2	2665	27
3	4984	27
4	5845	27
0	0	0
1	0	0

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

997×	`fma-neg_binary64`
747×	`fma-def_binary64`
640×	`associate-l_binary64`
424×	`cancel-sign-sub-inv_binary64`
365×	`associate-/l*_binary64`

Counts

193 → 152

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	786
1	145	783
2	404	769
3	1209	761
4	4164	759
5	4988	759

prune90.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	1	152
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Error

Counts

158 → 6

Alt Table

Status	Error	Program
	9.7b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)
	11.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	8.0b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	3.5b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.8b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
▶	3.6b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

Compiler

Compiled 2239 to 845 computations (62.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))
	0.1b	(/.f64 (sin.f64 y) y)
✓	3.6b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

series34.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

33.0ms

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

rewrite62.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
191×	`pow1/3_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
173×	`pow3_binary64`

Counts

1 → 41

Calls

1 calls:

61.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	208	12
2	2633	12
3	5033	12
0	0	0
1	0	0

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg_binary64`
608×	`distribute-rgt-neg-in_binary64`
392×	`associate-r_binary64`
347×	`associate-l_binary64`
286×	`unswap-sqr_binary64`

Counts

77 → 49

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	32	484
1	85	484
2	233	480
3	659	478
4	2744	474
5	5023	474

prune78.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	132	6	138

Error

Counts

138 → 6

Alt Table

Status	Error	Program
	9.7b	(/.f64 (*.f64 (sin.f64 y) (/.f64 x y)) z)
	11.3b	(/.f64 (.f64 (sin.f64 y) x) (.f64 y z))
	8.0b	(.f64 x (/.f64 (sin.f64 y) (.f64 y z)))
✓	3.5b	(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
	3.8b	(*.f64 (/.f64 x z) (/.f64 (sin.f64 y) y))
✓	3.6b	(.f64 (.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

Compiler

Compiled 1953 to 913 computations (53.3% saved)

regimes193.0ms (4.7%)

Accuracy

Total 0.7b remaining (97.2%)

Threshold costs 0.7b (97.2%)

Counts

21 → 3

Compiler

Compiled 1647 to 1077 computations (34.6% saved)

bsearch38.0ms (0.9%)

Steps

Iters	Range		Point
7	7.517228910112596e-61	8.350362151756034e-59	6.135949926575344e-59
2	-3.681710849963204e+168	-1.69088915028608e+164	-2.0065446232001473e+165

Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	19	48
2	19	48

end75.0ms (1.8%)

Compiler: Compiled 138 to 74 computations (46.4% saved)

Details

analyze570.0ms (13.9%)

sample2.1s (51.8%)

simplify10.0ms (0.2%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series44.0ms (1.1%)

rewrite69.0ms (1.7%)

simplify87.0ms (2.1%)

prune84.0ms (2.1%)

localize8.0ms (0.2%)

series46.0ms (1.1%)

rewrite64.0ms (1.6%)

simplify56.0ms (1.4%)

prune83.0ms (2%)

localize7.0ms (0.2%)

series50.0ms (1.2%)

rewrite99.0ms (2.4%)

simplify65.0ms (1.6%)

prune90.0ms (2.2%)

localize7.0ms (0.2%)

series34.0ms (0.8%)

rewrite62.0ms (1.5%)

simplify47.0ms (1.1%)

prune78.0ms (1.9%)

regimes193.0ms (4.7%)

bsearch38.0ms (0.9%)

simplify3.0ms (0.1%)

end75.0ms (1.8%)

Profiling