Details

analyze504.0ms (8.6%)

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
37.5%	50%	12.6%	7
37.5%	50%	12.6%	8
43.7%	37.5%	18.8%	9
43.7%	37.5%	18.8%	10
46.8%	31.2%	22%	11
46.8%	31.2%	22%	12
48.4%	28.1%	23.5%	13
48.4%	28.1%	23.5%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample3.8s (65%)

Results

1.1s	2079×	body	1024	valid
1.0s	2119×	body	1024	invalid
616.0ms	4629×	body	128	valid
339.0ms	1040×	body	512	invalid
308.0ms	1014×	body	512	valid
117.0ms	546×	body	256	invalid
112.0ms	527×	body	256	valid
108.0ms	753×	body	128	invalid
7.0ms	7×	body	2048	valid
2.0ms	1×	body	2048	invalid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify53.0ms (0.9%)

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 (cos.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series54.0ms (0.9%)

Counts

4 → 52

Calls

4 calls:

33.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(sinh.f64 y)
3.0ms	(cos.f64 x)

rewrite12.0ms (0.2%)

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:

5.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(cos.f64 x)
1.0ms	(sinh.f64 y)

simplify108.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

569×	`fma-def_binary64`
404×	`associate-/l*_binary64`
345×	`times-frac_binary64`
309×	`associate-*r/_binary64`
295×	`associate-*l/_binary64`

Counts

135 → 141

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	225	2179
1	561	2001
2	1764	1856
3	4736	1856
4	4996	1856
5	4950	1856

prune101.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	137	4	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	4	142

Error

Counts

142 → 4

Alt Table

Status	Error	Program
	0.4b	(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))))
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
	0.6b	(+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))
	32.8b	(.f64 (cos.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))))

Compiler

Compiled 2273 to 878 computations (61.4% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series72.0ms (1.2%)

Counts

3 → 48

Calls

3 calls:

31.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
27.0ms	(/.f64 y (sinh.f64 y))
13.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64`
105×	`add-sqr-sqrt_binary64`
93×	`*-un-lft-identity_binary64`
91×	`add-cube-cbrt_binary64`
47×	`associate-r_binary64`

Counts

3 → 190

Calls

3 calls:

14.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
4.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
2.0ms	(/.f64 y (sinh.f64 y))

simplify134.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

624×	`times-frac_binary64`
513×	`fma-def_binary64`
414×	`associate-/l*_binary64`
311×	`associate-/r/_binary64`
258×	`fma-neg_binary64`

Counts

238 → 315

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	4122
1	610	3658
2	1903	3476
3	4475	3476
4	5247	3476

prune178.0ms (3.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	334	1	335
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	337	2	339

Error

Counts

339 → 2

Alt Table

Status	Error	Program
	32.8b	(.f64 (cos.f64 x) (.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y))))
▶	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

Compiler

Compiled 6013 to 2367 computations (60.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series32.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

32.0ms

(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`times-frac_binary64`
44×	`*-un-lft-identity_binary64`
44×	`add-sqr-sqrt_binary64`
44×	`add-cube-cbrt_binary64`
14×	`associate-/r*_binary64`

Counts

1 → 76

Calls

1 calls:

5.0ms

(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

simplify97.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-def_binary64`
541×	`associate-/l*_binary64`
472×	`times-frac_binary64`
442×	`associate-/r/_binary64`
378×	`associate-/r*_binary64`

Counts

100 → 132

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	243	2543
1	575	2440
2	1811	2419
3	4593	2414
4	5174	2414

prune89.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	211	1	212
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	212	2	214

Error

Counts

214 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
▶	32.8b	(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y))))

Compiler

Compiled 3539 to 1064 computations (69.9% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
	0.0b	(sinh.f64 y)
✓	0.1b	(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
✓	0.1b	(/.f64 (sqrt.f64 y) (sinh.f64 y))

series30.0ms (0.5%)

Counts

2 → 8

Calls

2 calls:

19.0ms	(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
11.0ms	(/.f64 (sqrt.f64 y) (sinh.f64 y))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
32×	`*-un-lft-identity_binary64`
32×	`add-cube-cbrt_binary64`
29×	`sqrt-prod_binary64`

Counts

2 → 93

Calls

2 calls:

9.0ms	(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y)))
3.0ms	(/.f64 (sqrt.f64 y) (sinh.f64 y))

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

444×	`fma-neg_binary64`
374×	`associate-/l*_binary64`
312×	`fma-def_binary64`
297×	`associate-l_binary64`
236×	`associate-r_binary64`

Counts

101 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	1551
1	275	1481
2	845	1394
3	2694	1392
4	4310	1392
5	4934	1392

prune57.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	157	2	159

Error

Counts

159 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
✓	32.8b	(/.f64 (cos.f64 x) (*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 y) (sinh.f64 y))))

Compiler

Compiled 2773 to 798 computations (71.2% saved)

regimes292.0ms (5%)

Accuracy

Total 0.0b remaining (18.1%)

Threshold costs 0.0b (18.1%)

Counts

61 → 1

Compiler

Compiled 3936 to 2773 computations (29.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end42.0ms (0.7%)

Compiler: Compiled 40 to 26 computations (35% saved)

Details

analyze504.0ms (8.6%)

sample3.8s (65%)

simplify53.0ms (0.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series54.0ms (0.9%)

rewrite12.0ms (0.2%)

simplify108.0ms (1.8%)

prune101.0ms (1.7%)

localize7.0ms (0.1%)

series72.0ms (1.2%)

rewrite36.0ms (0.6%)

simplify134.0ms (2.3%)

prune178.0ms (3.1%)

localize7.0ms (0.1%)

series32.0ms (0.5%)

rewrite12.0ms (0.2%)

simplify97.0ms (1.7%)

prune89.0ms (1.5%)

localize9.0ms (0.1%)

series30.0ms (0.5%)

rewrite18.0ms (0.3%)

simplify92.0ms (1.6%)

prune57.0ms (1%)

regimes292.0ms (5%)

simplify2.0ms (0%)

end42.0ms (0.7%)

Profiling