Details

analyze515.0ms (8.7%)

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 (65.2%)

Results

1.1s	2046×	body	1024	valid
1.1s	1984×	body	1024	invalid
602.0ms	4648×	body	128	valid
343.0ms	1042×	body	512	invalid
332.0ms	1039×	body	512	valid
120.0ms	528×	body	256	invalid
116.0ms	517×	body	256	valid
115.0ms	719×	body	128	invalid
6.0ms	6×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify54.0ms (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 3 expressions with local error:

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

series46.0ms (0.8%)

Counts

3 → 40

Calls

3 calls:

33.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(cos.f64 x)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

6.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
2.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(cos.f64 x)

simplify115.0ms (2%)

Algorithm

1×	egg-herbie

Rules

481×	`fma-def_binary64`
477×	`associate-l_binary64`
390×	`associate-/l*_binary64`
332×	`times-frac_binary64`
304×	`associate-*r/_binary64`

Counts

113 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	1927
1	516	1774
2	1638	1595
3	4698	1595
4	4970	1595

prune78.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	116	5	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	117	5	122

Error

Counts

122 → 5

Alt Table

Status	Error	Program
	0.2b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
▶	0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
	1.4b	(.f64 (cos.f64 x) (.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))))
	0.5b	(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 2054 to 763 computations (62.9% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series73.0ms (1.2%)

Counts

3 → 48

Calls

3 calls:

33.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
28.0ms	(/.f64 y (sinh.f64 y))
11.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))

rewrite39.0ms (0.7%)

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))))
5.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
2.0ms	(/.f64 y (sinh.f64 y))

simplify135.0ms (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 → 312

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	4071
1	610	3658
2	1904	3476
3	4475	3476
4	5247	3476

prune202.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	328	0	328
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	328	5	333

Error

Counts

333 → 5

Alt Table

Status	Error	Program
	0.2b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
	1.4b	(.f64 (cos.f64 x) (.f64 (/.f64 1 (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sinh.f64 y) (cbrt.f64 y))))
	0.5b	(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
▶	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 5974 to 2349 computations (60.7% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series58.0ms (1%)

Counts

2 → 48

Calls

2 calls:

34.0ms	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
24.0ms	(*.f64 (cos.f64 x) (sinh.f64 y))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

4.0ms	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)
3.0ms	(*.f64 (cos.f64 x) (sinh.f64 y))

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

990×	`times-frac_binary64`
689×	`fma-def_binary64`
241×	`fma-neg_binary64`
199×	`cancel-sign-sub-inv_binary64`
140×	`sub-neg_binary64`

Counts

93 → 96

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	1937
1	526	1793
2	1931	1612
3	4537	1606
4	4977	1606

prune65.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	112	5	117

Error

Counts

117 → 5

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
	0.5b	(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
	1.3b	(/.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 2014 to 865 computations (57.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(cos.f64 x)
✓	0.0b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
✓	0.2b	(*.f64 (sinh.f64 y) (/.f64 1 y))

series42.0ms (0.7%)

Counts

2 → 36

Calls

2 calls:

31.0ms	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
11.0ms	(*.f64 (sinh.f64 y) (/.f64 1 y))

rewrite18.0ms (0.3%)

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 → 68

Calls

2 calls:

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

simplify82.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-neg_binary64`
401×	`fma-def_binary64`
376×	`associate-*r/_binary64`
362×	`associate-*l/_binary64`
306×	`associate-/l*_binary64`

Counts

104 → 129

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	193	1814
1	489	1603
2	1495	1364
3	4523	1364
4	4981	1364

prune119.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	145	5	150

Error

Counts

150 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
	0.5b	(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))
	1.3b	(/.f64 (/.f64 (.f64 (cos.f64 x) (sinh.f64 y)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.1b	(/.f64 (*.f64 (cos.f64 x) (sinh.f64 y)) y)

Compiler

Compiled 2393 to 1123 computations (53.1% saved)

regimes127.0ms (2.2%)

Accuracy

Total 0.0b remaining (68.3%)

Threshold costs 0.0b (68.3%)

Counts

28 → 1

Compiler

Compiled 2003 to 1291 computations (35.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	12	14
2	11	14

end141.0ms (2.4%)

Compiler: Compiled 80 to 55 computations (31.3% saved)

Details

analyze515.0ms (8.7%)

sample3.8s (65.2%)

simplify54.0ms (0.9%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series46.0ms (0.8%)

rewrite13.0ms (0.2%)

simplify115.0ms (2%)

prune78.0ms (1.3%)

localize7.0ms (0.1%)

series73.0ms (1.2%)

rewrite39.0ms (0.7%)

simplify135.0ms (2.3%)

prune202.0ms (3.4%)

localize6.0ms (0.1%)

series58.0ms (1%)

rewrite9.0ms (0.2%)

simplify85.0ms (1.4%)

prune65.0ms (1.1%)

localize8.0ms (0.1%)

series42.0ms (0.7%)

rewrite18.0ms (0.3%)

simplify82.0ms (1.4%)

prune119.0ms (2%)

regimes127.0ms (2.2%)

simplify3.0ms (0%)

end141.0ms (2.4%)

Profiling