Details

analyze465.0ms (9.3%)

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 (74.5%)

Results

1.1s	2087×	body	1024	valid
977.0ms	2027×	body	1024	invalid
559.0ms	4583×	body	128	valid
334.0ms	1084×	body	512	invalid
319.0ms	1007×	body	512	valid
119.0ms	576×	body	256	valid
100.0ms	740×	body	128	invalid
96.0ms	468×	body	256	invalid
6.0ms	3×	body	2048	valid

Compiler

Compiled 29 to 20 computations (31% saved)

simplify55.0ms (1.1%)

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 3 expressions with local error:

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

series66.0ms (1.3%)

Counts

3 → 48

Calls

3 calls:

44.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
14.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(sinh.f64 y)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 74

Calls

3 calls:

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

simplify86.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

122 → 125

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	211	2067
1	528	1896
2	1670	1755
3	4556	1755
4	5388	1755

prune71.0ms (1.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	2	126

Error

Counts

126 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.3b	(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))))

Status

Error

Program

✓

0.0b

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

▶

0.3b

(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))))

Compiler

Compiled 2035 to 768 computations (62.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (pow.f64 y 6) (cos.f64 x))
✓	0.1b	(*.f64 (pow.f64 y 2) (cos.f64 x))
✓	0.1b	(.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)))
✓	0.2b	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))

series61.0ms (1.2%)

Counts

4 → 16

Calls

4 calls:

19.0ms	(.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)))
17.0ms	(*.f64 (pow.f64 y 6) (cos.f64 x))
14.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
10.0ms	(*.f64 (pow.f64 y 2) (cos.f64 x))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-exp-log_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`associate-l_binary64`
20×	`prod-exp_binary64`
18×	`add-cbrt-cube_binary64`

Counts

4 → 98

Calls

4 calls:

7.0ms	(*.f64 (pow.f64 y 2) (cos.f64 x))
4.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x)))
4.0ms	(.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x)))
4.0ms	(*.f64 (pow.f64 y 6) (cos.f64 x))

simplify107.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-neg_binary64`
430×	`fma-def_binary64`
293×	`associate-r_binary64`
272×	`cancel-sign-sub-inv_binary64`
265×	`associate-l_binary64`

Counts

114 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	1869
1	496	1627
2	1632	1572
3	3407	1569
4	4513	1569
5	4842	1569
6	4941	1569

prune171.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	159	2	161

Error

Counts

161 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.3b	(+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (cos.f64 x))))))

Status

Error

Program

✓

0.0b

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

✓

0.3b

(+.f64 (*.f64 1/5040 (*.f64 (pow.f64 y 6) (cos.f64 x))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 y 4) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/6 (*.f64 (pow.f64 y 2) (cos.f64 x))))))

Compiler

Compiled 5779 to 3600 computations (37.7% saved)

regimes76.0ms (1.5%)

Accuracy

Total 0.0b remaining (50.6%)

Threshold costs 0.0b (50.6%)

Counts

16 → 1

Compiler

Compiled 1235 to 834 computations (32.5% 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

end53.0ms (1.1%)

Compiler: Compiled 58 to 39 computations (32.8% saved)

Details

analyze465.0ms (9.3%)

sample3.7s (74.5%)

simplify55.0ms (1.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series66.0ms (1.3%)

rewrite11.0ms (0.2%)

simplify86.0ms (1.7%)

prune71.0ms (1.4%)

localize17.0ms (0.3%)

series61.0ms (1.2%)

rewrite23.0ms (0.5%)

simplify107.0ms (2.1%)

prune171.0ms (3.4%)

regimes76.0ms (1.5%)

simplify2.0ms (0%)

end53.0ms (1.1%)

Profiling