Details

analyze477.0ms (7.8%)

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)

sample3.7s (60.6%)

Results

1.1s	2061×	body	1024	valid
971.0ms	1996×	body	1024	invalid
591.0ms	4652×	body	128	valid
325.0ms	1074×	body	512	invalid
319.0ms	1020×	body	512	valid
139.0ms	520×	body	256	valid
125.0ms	536×	body	256	invalid
99.0ms	780×	body	128	invalid
5.0ms	3×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify52.0ms (0.8%)

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 3 expressions with local error:

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

series54.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

35.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

rewrite47.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

760×	`log1p-expm1-u_binary64`
760×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
83×	`egg-rr`
78×	`add-sqr-sqrt_binary64`

Counts

3 → 83

Calls

3 calls:

45.0ms	(/.f64 (sinh.f64 y) y)
45.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
45.0ms	(sinh.f64 y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	148	20
2	1947	20
3	5022	20
0	0	0
1	0	0

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-neg_binary64`
477×	`fma-def_binary64`
332×	`sub-neg_binary64`
201×	`associate-l_binary64`
187×	`associate-r_binary64`

Counts

131 → 120

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	121	1020
1	352	961
2	1025	944
3	3418	942
4	4916	942
5	4997	942

prune81.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	4	121

Error

0.0b

Counts

121 → 4

Alt Table

Status	Error	Program
	14.4b	(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))) 2)
▶	0.0b	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
	0.3b	(*.f64 (cos.f64 x) (/.f64 (expm1.f64 (log1p.f64 (sinh.f64 y))) y))
	1.2b	(.f64 (cos.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 1781 to 833 computations (53.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series55.0ms (0.9%)

Counts

2 → 36

Calls

2 calls:

29.0ms	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))
26.0ms	(/.f64 y (sinh.f64 y))

rewrite59.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
82×	`add-sqr-sqrt_binary64`
80×	`prod-diff_binary64`
79×	`egg-rr`

Counts

2 → 79

Calls

2 calls:

57.0ms	(/.f64 y (sinh.f64 y))
57.0ms	(/.f64 (cos.f64 x) (/.f64 y (sinh.f64 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	154	17
2	2168	17
3	5427	17
0	0	0
1	0	0

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

759×	`fma-neg_binary64`
363×	`sub-neg_binary64`
339×	`fma-def_binary64`
232×	`neg-mul-1_binary64`
204×	`distribute-rgt-neg-in_binary64`

Counts

115 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	870
1	301	827
2	899	805
3	3154	803
4	4842	803
5	5115	803

prune101.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	141	3	144

Error

Counts

144 → 3

Alt Table

Status	Error	Program
	0.0b	(/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
▶	0.0b	(/.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2))
	1.2b	(.f64 (cos.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 2054 to 900 computations (56.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (/.f64 y (sinh.f64 y)))
✓	0.0b	(/.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2))
	0.0b	(sinh.f64 y)
✓	0.0b	(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)

series57.0ms (0.9%)

Counts

3 → 28

Calls

3 calls:

35.0ms	(/.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2))
13.0ms	(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)
9.0ms	(sqrt.f64 (/.f64 y (sinh.f64 y)))

rewrite63.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
249×	`pow2_binary64`
175×	`pow1/3_binary64`
173×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Counts

3 → 131

Calls

3 calls:

61.0ms	(sqrt.f64 (/.f64 y (sinh.f64 y)))
61.0ms	(/.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2))
61.0ms	(pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	198	25
2	2474	25
3	4997	25
0	0	0
1	0	0

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

830×	`fma-neg_binary64`
383×	`sub-neg_binary64`
357×	`fma-def_binary64`
183×	`distribute-rgt-neg-in_binary64`
172×	`distribute-lft-neg-in_binary64`

Counts

159 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	714
1	306	695
2	922	654
3	3256	651
4	4908	651
5	4987	651

prune132.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	195	3	198

Error

Counts

198 → 3

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
✓	0.0b	(/.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2))
	1.2b	(.f64 (cos.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 2965 to 1330 computations (55.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
✓	0.0b	(/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
	0.0b	(sinh.f64 y)
✓	0.0b	(pow.f64 (/.f64 y (sinh.f64 y)) 3)

series119.0ms (1.9%)

Counts

3 → 48

Calls

3 calls:

53.0ms	(/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
36.0ms	(pow.f64 (/.f64 y (sinh.f64 y)) 3)
31.0ms	(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))

rewrite86.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
286×	`prod-diff_binary64`
175×	`expm1-udef_binary64`
175×	`log1p-udef_binary64`
174×	`pow1/3_binary64`

Counts

3 → 132

Calls

3 calls:

84.0ms	(cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3))
84.0ms	(/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
84.0ms	(pow.f64 (/.f64 y (sinh.f64 y)) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	201	26
2	2571	26
3	4955	26
4	5407	26
0	0	0
1	0	0

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

911×	`fma-neg_binary64`
366×	`fma-def_binary64`
282×	`associate-/l*_binary64`
276×	`times-frac_binary64`
275×	`associate-r_binary64`

Counts

180 → 172

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1182
1	349	1123
2	1136	1097
3	4519	1097
4	5316	1097

prune126.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	205	3	208

Error

Counts

208 → 3

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 y (sinh.f64 y)) 3)))
✓	0.0b	(/.f64 (cos.f64 x) (pow.f64 (sqrt.f64 (/.f64 y (sinh.f64 y))) 2))
	1.2b	(.f64 (cos.f64 x) (fma.f64 1/120 (pow.f64 y 4) (fma.f64 1/6 (.f64 y y) 1)))

Compiler

Compiled 3137 to 1442 computations (54% saved)

regimes524.0ms (8.5%)

Accuracy

Total 0.0b remaining (67.6%)

Threshold costs 0.0b (67.6%)

Counts

116 → 1

Compiler

Compiled 7407 to 5498 computations (25.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	12	20

end66.0ms (1.1%)

Compiler: Compiled 68 to 52 computations (23.5% saved)

Details

analyze477.0ms (7.8%)

sample3.7s (60.6%)

simplify52.0ms (0.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series54.0ms (0.9%)

rewrite47.0ms (0.8%)

simplify79.0ms (1.3%)

prune81.0ms (1.3%)

localize7.0ms (0.1%)

series55.0ms (0.9%)

rewrite59.0ms (1%)

simplify74.0ms (1.2%)

prune101.0ms (1.6%)

localize9.0ms (0.2%)

series57.0ms (0.9%)

rewrite63.0ms (1%)

simplify73.0ms (1.2%)

prune132.0ms (2.1%)

localize8.0ms (0.1%)

series119.0ms (1.9%)

rewrite86.0ms (1.4%)

simplify67.0ms (1.1%)

prune126.0ms (2%)

regimes524.0ms (8.5%)

simplify2.0ms (0%)

end66.0ms (1.1%)

Profiling