Details

analyze481.0ms (10.5%)

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 (79.5%)

Results

1.0s	2040×	body	1024	invalid
1.0s	1982×	body	1024	valid
549.0ms	4695×	body	128	valid
357.0ms	1070×	body	512	valid
310.0ms	939×	body	512	invalid
111.0ms	502×	body	256	invalid
106.0ms	505×	body	256	valid
83.0ms	685×	body	128	invalid
6.0ms	1×	body	2048	invalid
5.0ms	4×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify55.0ms (1.2%)

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

prune1.0ms (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 2 expressions with local error:

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

series48.0ms (1%)

Counts

2 → 36

Calls

2 calls:

38.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
10.0ms	(/.f64 (sinh.f64 y) y)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

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

simplify97.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

100 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	1815
1	483	1669
2	1544	1494
3	4493	1494
4	4991	1494
5	4950	1494

prune50.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	2	106

Error

Counts

106 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.6b	(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))

Compiler

Compiled 1756 to 615 computations (65% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))

series17.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

17.0ms

(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 22

Calls

1 calls:

3.0ms

(*.f64 (cos.f64 x) (fma.f64 1/6 (*.f64 y y) 1))

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

808×	`fma-neg_binary64`
668×	`distribute-rgt-in_binary64`
292×	`associate-l_binary64`
260×	`sub-neg_binary64`
245×	`associate-r_binary64`

Counts

46 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	813
1	178	745
2	632	729
3	2288	729
4	5177	729

prune28.0ms (0.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	46	2	48

Error

Counts

48 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.6b	(.f64 (cos.f64 x) (fma.f64 1/6 (.f64 y y) 1))

Compiler

Compiled 796 to 458 computations (42.5% saved)

regimes39.0ms (0.9%)

Accuracy

Total 0.0b remaining (20.7%)

Threshold costs 0.0b (20.7%)

Counts

7 → 1

Compiler

Compiled 345 to 264 computations (23.5% saved)

simplify2.0ms (0%)

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

end43.0ms (0.9%)

Compiler: Compiled 38 to 26 computations (31.6% saved)

Details

analyze481.0ms (10.5%)

sample3.7s (79.5%)

simplify55.0ms (1.2%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series48.0ms (1%)

rewrite11.0ms (0.2%)

simplify97.0ms (2.1%)

prune50.0ms (1.1%)

localize6.0ms (0.1%)

series17.0ms (0.4%)

rewrite4.0ms (0.1%)

simplify57.0ms (1.2%)

prune28.0ms (0.6%)

regimes39.0ms (0.9%)

simplify2.0ms (0%)

end43.0ms (0.9%)

Profiling