Details

analyze513.0ms (13.8%)

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)

sample79.0ms (2.1%)

Algorithm

1×

intervals

Results

22.0ms	70×	body	1024	invalid
21.0ms	68×	body	1024	valid
8.0ms	150×	body	128	valid
5.0ms	29×	body	512	invalid
4.0ms	26×	body	512	valid
3.0ms	21×	body	128	invalid
2.0ms	19×	body	256	invalid
1.0ms	12×	body	256	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify61.0ms (1.7%)

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 → 0

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Alt Table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) y)

rewrite20.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`*-un-lft-identity_binary64`
10×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 40

Calls

2 calls:

2.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

Compiler

Compiled 497 to 162 computations (67.4% saved)

series49.0ms (1.3%)

Error

Counts

2 → 12

Calls

2 calls:

21.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

Compiler

Compiled 438 to 318 computations (27.4% saved)

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

390×	`associate-/r/_binary64`
332×	`fma-def_binary64`
246×	`associate-l_binary64`
220×	`associate-+l+_binary64`
215×	`distribute-rgt-in_binary64`

Counts

52 → 20

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	127	669
1	271	626
2	820	622
3	2766	586
4	4530	586
5	4980	586
6	4927	586

prune11.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

Counts

21 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.4b	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))

Compiler

Compiled 210 to 120 computations (42.9% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 1/5040 (pow.f64 y 6))
0.1b	(fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))
0.2b	(fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))))

rewrite53.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-sqr-sqrt_binary64`
8×	`add-exp-log_binary64`
7×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

3 → 47

Calls

3 calls:

4.0ms	(*.f64 1/5040 (pow.f64 y 6))
1.0ms	(fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))))
1.0ms	(fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))

Compiler

Compiled 1231 to 861 computations (30.1% saved)

series39.0ms (1.1%)

Error

Counts

3 → 14

Calls

3 calls:

13.0ms	(fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6)))
12.0ms	(fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (.f64 1/5040 (pow.f64 y 6))))
9.0ms	(*.f64 1/5040 (pow.f64 y 6))

Compiler

Compiled 590 to 456 computations (22.7% saved)

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

740×	`distribute-rgt-in_binary64`
713×	`distribute-lft-in_binary64`
425×	`associate-l_binary64`
410×	`associate-r_binary64`
396×	`unswap-sqr_binary64`

Counts

61 → 30

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	1108
1	194	1018
2	484	978
3	2018	978
4	5190	978

prune16.0ms (0.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	30	2	32

Error

Counts

32 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.4b	(.f64 (cos.f64 x) (+.f64 1 (fma.f64 1/6 (.f64 y y) (fma.f64 1/120 (pow.f64 y 4) (*.f64 1/5040 (pow.f64 y 6))))))

Compiler

Compiled 395 to 272 computations (31.1% saved)

regimes114.0ms (3.1%)

Accuracy

Total 0.0b remaining (25.9%)

Threshold costs 0.0b (25.9%)

Compiler

Compiled 1591 to 1166 computations (26.7% saved)

simplify3.0ms (0.1%)

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

end0.0ms (0%)

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

sample2.6s (69.2%)

Algorithm

1×

intervals

Results

689.0ms	2021×	body	1024	valid
627.0ms	2010×	body	1024	invalid
263.0ms	4411×	body	128	valid
194.0ms	1042×	body	512	valid
179.0ms	1033×	body	512	invalid
76.0ms	483×	body	256	invalid
64.0ms	523×	body	256	valid
45.0ms	701×	body	128	invalid
2.0ms	3×	body	2048	valid

Compiler

Compiled 54 to 40 computations (25.9% saved)

Details

analyze513.0ms (13.8%)

sample79.0ms (2.1%)

simplify61.0ms (1.7%)

prune1.0ms (0%)

localize6.0ms (0.2%)

rewrite20.0ms (0.5%)

series49.0ms (1.3%)

simplify96.0ms (2.6%)

prune11.0ms (0.3%)

localize17.0ms (0.4%)

rewrite53.0ms (1.4%)

series39.0ms (1.1%)

simplify64.0ms (1.7%)

prune16.0ms (0.4%)

regimes114.0ms (3.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.6s (69.2%)

Profiling