Details

analyze482.0ms (12.1%)

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample97.0ms (2.5%)

Algorithm

1×

intervals

Results

25.0ms	62×	body	1024	valid
23.0ms	59×	body	1024	invalid
9.0ms	141×	body	128	valid
7.0ms	40×	body	512	valid
6.0ms	37×	body	512	invalid
6.0ms	95×	body	128	invalid
2.0ms	13×	body	256	valid
2.0ms	13×	body	256	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-neg_binary64`
610×	`div-sub_binary64`
491×	`times-frac_binary64`
410×	`associate-/l*_binary64`
352×	`cancel-sign-sub-inv_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	16	11
2	34	11
3	73	11
4	160	11
5	361	11
6	984	11
7	3177	11
8	4701	11
9	5010	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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.0b	(/.f64 (sinh.f64 y) y)
✓	0.0b	(sinh.f64 y)

series59.0ms (1.5%)

Counts

4 → 52

Calls

4 calls:

32.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
15.0ms	(/.f64 (sinh.f64 y) y)
9.0ms	(sinh.f64 y)
2.0ms	(sin.f64 x)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

7.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sin.f64 x)
1.0ms	(sinh.f64 y)

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-def_binary64`
445×	`associate-/l*_binary64`
383×	`times-frac_binary64`
314×	`associate-*l/_binary64`
283×	`fma-neg_binary64`

Counts

135 → 146

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	2196
1	572	2025
2	1872	1875
3	4912	1873
4	5072	1873

prune70.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	3	147

Error

Counts

147 → 3

Alt Table

Status	Error	Program
▶	0.6b	(sin.f64 x)
	14.8b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 2307 to 878 computations (61.9% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)

prune10.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	17	3	20

Error

Counts

20 → 3

Alt Table

Status	Error	Program
✓	0.6b	(sin.f64 x)
▶	14.8b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 167 to 106 computations (36.5% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 x)
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	14.9b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))

series56.0ms (1.4%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
22.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 63

Calls

2 calls:

7.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
6.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
478×	`associate-/l*_binary64`
447×	`times-frac_binary64`
211×	`cancel-sign-sub-inv_binary64`
206×	`associate-l_binary64`

Counts

111 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2247
1	614	2039
2	2106	1992
3	5034	1992

prune69.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	158	3	161

Error

Counts

161 → 3

Alt Table

Status	Error	Program
✓	0.6b	(sin.f64 x)
✓	14.8b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 2886 to 1393 computations (51.7% saved)

regimes59.0ms (1.5%)

Accuracy

Total 0.0b remaining (25.5%)

Threshold costs 0.0b (25.5%)

Counts

12 → 1

Compiler

Compiled 705 to 449 computations (36.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11
2	8	11

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample2.8s (70.5%)

Algorithm

1×

intervals

Results

687.0ms	1988×	body	1024	valid
637.0ms	1968×	body	1024	invalid
290.0ms	4496×	body	128	valid
201.0ms	1005×	body	512	valid
178.0ms	972×	body	512	invalid
167.0ms	2541×	body	128	invalid
61.0ms	507×	body	256	valid
55.0ms	466×	body	256	invalid
3.0ms	4×	body	2048	valid

Compiler

Compiled 45 to 32 computations (28.9% saved)

Details

analyze482.0ms (12.1%)

sample97.0ms (2.5%)

simplify54.0ms (1.4%)

prune2.0ms (0%)

localize7.0ms (0.2%)

series59.0ms (1.5%)

rewrite15.0ms (0.4%)

simplify94.0ms (2.4%)

prune70.0ms (1.8%)

localize2.0ms (0.1%)

prune10.0ms (0.3%)

localize7.0ms (0.2%)

series56.0ms (1.4%)

rewrite16.0ms (0.4%)

simplify68.0ms (1.7%)

prune69.0ms (1.7%)

regimes59.0ms (1.5%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.8s (70.5%)

Profiling