Details

analyze68.0ms (1.3%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample2.2s (41%)

Infinites

0% of outputs are infinite.

Results

850.0ms	5541×	body	128	valid
835.0ms	1333×	body	1024	valid
320.0ms	887×	body	512	valid
136.0ms	489×	body	256	valid
8.0ms	6×	body	2048	valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	12	9
3	16	9
4	17	9
5	17	9

prune3.0ms (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

0.1b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.1b	(*.f64 x (/.f64 (sin.f64 y) y))

Compiler

Compiled 24 to 15 computations (37.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series26.0ms (0.5%)

Counts

2 → 28

Calls

2 calls:

21.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms	(/.f64 (sin.f64 y) y)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`

Counts

2 → 63

Calls

2 calls:

5.0ms	(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms	(/.f64 (sin.f64 y) y)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

722×	`fma-neg_binary64`
645×	`fma-def_binary64`
532×	`associate-/r/_binary64`
459×	`cancel-sign-sub-inv_binary64`
346×	`associate-l_binary64`

Counts

91 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1147
1	268	1057
2	843	1043
3	2436	1039
4	4592	1039
5	4999	1039
6	4947	1039

prune63.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	5	99

Error

Counts

99 → 5

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
	0.5b	(.f64 x (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	6.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
▶	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 1345 to 450 computations (66.5% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series25.0ms (0.5%)

Counts

3 → 40

Calls

3 calls:

12.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
10.0ms	(/.f64 y (sin.f64 y))
3.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`

Counts

3 → 182

Calls

3 calls:

12.0ms	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
5.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms	(/.f64 y (sin.f64 y))

simplify187.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-neg_binary64`
585×	`fma-def_binary64`
359×	`times-frac_binary64`
226×	`cancel-sign-sub-inv_binary64`
220×	`sub-neg_binary64`

Counts

222 → 284

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	3071
1	387	2736
2	1122	2693
3	2662	2687
4	3927	2687
5	4641	2687
6	4996	2687

prune320.0ms (5.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	284	5	289

Error

Counts

289 → 5

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
	0.5b	(.f64 x (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	6.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
▶	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 4717 to 1890 computations (59.9% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.3b	(*.f64 (sin.f64 y) (/.f64 1 y))

series27.0ms (0.5%)

Counts

2 → 36

Calls

2 calls:

22.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
5.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
14×	`associate-r_binary64`
13×	`prod-exp_binary64`

Counts

2 → 64

Calls

2 calls:

13.0ms	(*.f64 (sin.f64 y) (/.f64 1 y))
10.0ms	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))

simplify170.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

568×	`fma-neg_binary64`
383×	`fma-def_binary64`
379×	`associate-/r*_binary64`
320×	`associate-/l/_binary64`
316×	`cancel-sign-sub-inv_binary64`

Counts

100 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1096
1	264	956
2	737	942
3	1735	938
4	3749	938
5	4801	938
6	4965	938

prune104.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Error

Counts

112 → 5

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
▶	0.5b	(.f64 x (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	6.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 1518 to 755 computations (50.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 y) y)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))
✓	0.3b	(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))
✓	0.3b	(cbrt.f64 (/.f64 (sin.f64 y) y))

series699.0ms (12.8%)

Counts

3 → 36

Calls

3 calls:

343.0ms

(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))

324.0ms

(cbrt.f64 (/.f64 (sin.f64 y) y))

32.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))

rewrite75.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

92×	`cbrt-prod_binary64`
78×	`add-sqr-sqrt_binary64`
61×	`times-frac_binary64`
50×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64`

Counts

3 → 160

Calls

3 calls:

22.0ms

(*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y)))

20.0ms

(*.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y)))

3.0ms

(cbrt.f64 (/.f64 (sin.f64 y) y))

simplify252.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

768×	`fma-def_binary64`
279×	`fma-neg_binary64`
260×	`*-commutative_binary64`
205×	`times-frac_binary64`
197×	`associate-/l*_binary64`

Counts

196 → 244

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	4254
1	439	3847
2	1271	3483
3	3319	3128
4	4747	3128
5	4959	3128

prune392.0ms (7.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	443	0	443
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	443	5	448

Error

Counts

448 → 5

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y)))
✓	0.5b	(.f64 x (.f64 (*.f64 (cbrt.f64 (/.f64 (sin.f64 y) y)) (cbrt.f64 (/.f64 (sin.f64 y) y))) (cbrt.f64 (/.f64 (sin.f64 y) y))))
	6.1b	(/.f64 (*.f64 (sin.f64 y) x) y)
✓	0.2b	(.f64 x (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.1b	(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 11233 to 2607 computations (76.8% saved)

regimes486.0ms (8.9%)

Accuracy

Total 0.1b remaining (74.7%)

Threshold costs 0.1b (74.7%)

Counts

90 → 1

Compiler

Compiled 5512 to 3318 computations (39.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	7	9
2	7	9

end88.0ms (1.6%)

Compiler: Compiled 80 to 45 computations (43.8% saved)

Details

analyze68.0ms (1.3%)

sample2.2s (41%)

simplify14.0ms (0.3%)

prune3.0ms (0%)

localize9.0ms (0.2%)

series26.0ms (0.5%)

rewrite11.0ms (0.2%)

simplify103.0ms (1.9%)

prune63.0ms (1.2%)

localize8.0ms (0.1%)

series25.0ms (0.5%)

rewrite34.0ms (0.6%)

simplify187.0ms (3.4%)

prune320.0ms (5.9%)

localize11.0ms (0.2%)

series27.0ms (0.5%)

rewrite30.0ms (0.5%)

simplify170.0ms (3.1%)

prune104.0ms (1.9%)

localize9.0ms (0.2%)

series699.0ms (12.8%)

rewrite75.0ms (1.4%)

simplify252.0ms (4.6%)

prune392.0ms (7.2%)

regimes486.0ms (8.9%)

simplify3.0ms (0%)

end88.0ms (1.6%)

Profiling