Details

analyze456.0ms (8.9%)

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample147.0ms (2.9%)

Algorithm

1×

intervals

Results

23.0ms	60×	body	1024	invalid
22.0ms	53×	body	1024	valid
10.0ms	158×	body	128	valid
5.0ms	27×	body	512	valid
3.0ms	18×	body	512	invalid
2.0ms	20×	body	256	invalid
2.0ms	18×	body	256	valid
1.0ms	21×	body	128	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify96.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

855×	`fma-def_binary64`
772×	`unswap-sqr_binary64`
448×	`associate-/l*_binary64`
363×	`times-frac_binary64`
280×	`associate-/r*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	32	11
3	60	11
4	107	11
5	169	11
6	327	11
7	806	11
8	2101	11
9	2217	11
10	2592	11
11	4159	11
12	4537	11
13	4915	11
14	4955	11
15	4919	11

prune2.0ms (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 (cosh.f64 x) (/.f64 (sin.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

3.0ms

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

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

3.0ms

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

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

362×	`associate-/r/_binary64`
328×	`distribute-rgt-neg-in_binary64`
311×	`unswap-sqr_binary64`
283×	`associate-l_binary64`
279×	`distribute-lft-neg-in_binary64`

Counts

33 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	423
1	136	393
2	291	389
3	681	387
4	2187	387
5	4645	387
6	4963	387
7	4900	387

prune38.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Error

0.0b

Counts

40 → 7

Alt Table

Status	Error	Program
	32.4b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sin.f64 y) (sqrt.f64 y)) (sqrt.f64 y)))
	12.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	1.5b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
	37.9b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
	0.6b	(.f64 (cosh.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))))
	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
▶	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 736 to 315 computations (57.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series13.0ms (0.3%)

Counts

2 → 16

Calls

2 calls:

7.0ms	(/.f64 y (sin.f64 y))
6.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
52×	`add-cube-cbrt_binary64`
16×	`associate-/r*_binary64`

Counts

2 → 107

Calls

2 calls:

4.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms	(/.f64 y (sin.f64 y))

simplify141.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

494×	`div-sub_binary64`
467×	`fma-neg_binary64`
444×	`fma-def_binary64`
359×	`*-commutative_binary64`
335×	`associate-/l/_binary64`

Counts

123 → 150

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1795
1	237	1584
2	572	1551
3	1408	1547
4	2703	1547
5	4108	1547
6	4704	1547
7	5431	1547

prune118.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Error

Counts

157 → 7

Alt Table

Status	Error	Program
	1.5b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	32.4b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 y)))))
	12.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	37.9b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
▶	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 2695 to 1116 computations (58.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (sin.f64 y) (/.f64 1 y))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64`

Counts

1 → 38

Calls

1 calls:

7.0ms

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

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

986×	`fma-neg_binary64`
649×	`times-frac_binary64`
557×	`fma-def_binary64`
282×	`cancel-sign-sub-inv_binary64`
273×	`associate-/l*_binary64`

Counts

50 → 64

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	75	508
1	163	459
2	381	455
3	812	453
4	2559	453
5	4295	423
6	4989	423
7	4927	423

prune48.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	64	7	71

Error

Counts

71 → 7

Alt Table

Status	Error	Program
	1.5b	(.f64 (cosh.f64 x) (.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y)))
▶	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	32.4b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 y)))))
	12.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	37.9b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
✓	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))

Compiler

Compiled 1111 to 558 computations (49.8% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (sin.f64 y))
✓	0.2b	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))

series39.0ms (0.8%)

Counts

2 → 16

Calls

2 calls:

33.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
6.0ms	(/.f64 1 (sin.f64 y))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

430×	`times-frac_binary64`
206×	`*-un-lft-identity_binary64`
206×	`add-sqr-sqrt_binary64`
206×	`add-cube-cbrt_binary64`
46×	`add-exp-log_binary64`

Counts

2 → 262

Calls

2 calls:

10.0ms	(/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y)))
2.0ms	(/.f64 1 (sin.f64 y))

simplify326.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
554×	`cancel-sign-sub-inv_binary64`
511×	`fma-def_binary64`
395×	`unswap-sqr_binary64`
349×	`*-commutative_binary64`

Counts

278 → 297

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	167	5453
1	387	4720
2	934	4606
3	2081	4602
4	3097	4602
5	4948	4602
6	4985	4602
7	4997	4602
8	4999	4602
9	4949	4602

prune260.0ms (5.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	296	1	297
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	297	7	304

Error

Counts

304 → 7

Alt Table

Status	Error	Program
	32.4b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sin.f64 y)))))
	12.2b	(.f64 (cosh.f64 x) (.f64 (sqrt.f64 (/.f64 (sin.f64 y) y)) (sqrt.f64 (/.f64 (sin.f64 y) y))))
	31.4b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 (sqrt.f64 (sin.f64 y)) y) (/.f64 1 (sqrt.f64 (sin.f64 y)))))
✓	0.1b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
✓	0.2b	(*.f64 (cosh.f64 x) (/.f64 (/.f64 1 y) (/.f64 1 (sin.f64 y))))
	37.9b	(.f64 (cosh.f64 x) (cbrt.f64 (/.f64 (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)) (.f64 (*.f64 y y) y))))
✓	0.2b	(.f64 (cosh.f64 x) (.f64 (sin.f64 y) (/.f64 1 y)))

Compiler

Compiled 6688 to 3901 computations (41.7% saved)

regimes305.0ms (6%)

Accuracy

Total 0.1b remaining (66.3%)

Threshold costs 0.1b (66.3%)

Counts

67 → 1

Compiler

Compiled 5355 to 3529 computations (34.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	10	15
2	10	15

end1.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

sample2.8s (55.5%)

Algorithm

1×

intervals

Results

732.0ms	2015×	body	1024	valid
674.0ms	2034×	body	1024	invalid
298.0ms	4414×	body	128	valid
250.0ms	911×	body	512	invalid
194.0ms	1037×	body	512	valid
69.0ms	530×	body	256	valid
65.0ms	440×	body	256	invalid
49.0ms	679×	body	128	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 125 to 82 computations (34.4% saved)

Details

analyze456.0ms (8.9%)

sample147.0ms (2.9%)

simplify96.0ms (1.9%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series3.0ms (0.1%)

rewrite4.0ms (0.1%)

simplify95.0ms (1.9%)

prune38.0ms (0.7%)

localize7.0ms (0.1%)

series13.0ms (0.3%)

rewrite13.0ms (0.3%)

simplify141.0ms (2.8%)

prune118.0ms (2.3%)

localize7.0ms (0.1%)

series3.0ms (0.1%)

rewrite9.0ms (0.2%)

simplify81.0ms (1.6%)

prune48.0ms (0.9%)

localize8.0ms (0.2%)

series39.0ms (0.8%)

rewrite42.0ms (0.8%)

simplify326.0ms (6.4%)

prune260.0ms (5.1%)

regimes305.0ms (6%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample2.8s (55.5%)

Profiling