Details

analyze758.0ms (10.9%)

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
12.5%	87.4%	0.1%	4
18.7%	81.2%	0.1%	5
21.9%	78%	0.1%	6
50%	43.7%	6.3%	7
50%	43.7%	6.3%	8
56.2%	34.3%	9.5%	9
56.2%	34.3%	9.5%	10
59.3%	29.7%	11%	11
59.3%	29.7%	11%	12
60.9%	27.3%	11.8%	13
60.9%	27.3%	11.8%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample175.0ms (2.5%)

Algorithm

1×

intervals

Results

47.0ms	68×	body	1024	invalid
46.0ms	72×	body	1024	valid
13.0ms	135×	body	128	valid
12.0ms	44×	body	512	invalid
8.0ms	33×	body	512	valid
8.0ms	84×	body	128	invalid
3.0ms	19×	body	256	invalid
3.0ms	2×	body	2048	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify75.0ms (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

prune4.0ms (0.1%)

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 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize12.0ms (0.2%)

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 (sin.f64 x) (/.f64 (sinh.f64 y) y))

series113.0ms (1.6%)

Counts

3 → 48

Calls

3 calls:

71.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
25.0ms	(/.f64 (sinh.f64 y) y)
17.0ms	(sinh.f64 y)

rewrite27.0ms (0.4%)

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:

14.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

simplify176.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

550×	`fma-def_binary64`
445×	`associate-/l*_binary64`
383×	`times-frac_binary64`
314×	`associate-*l/_binary64`
249×	`fma-neg_binary64`

Counts

122 → 127

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2084
1	539	1920
2	1766	1774
3	4702	1772
4	4956	1772

prune149.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	125	3	128

Error

Counts

128 → 3

Alt Table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 2084 to 805 computations (61.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series84.0ms (1.2%)

Counts

4 → 16

Calls

4 calls:

28.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
24.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))
18.0ms	(.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)))
14.0ms	(*.f64 (pow.f64 y 4) (sin.f64 x))

rewrite24.0ms (0.3%)

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:

6.0ms	(*.f64 (pow.f64 y 4) (sin.f64 x))
5.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
5.0ms	(.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)))
4.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))

simplify190.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

803×	`fma-neg_binary64`
492×	`fma-def_binary64`
466×	`unswap-sqr_binary64`
332×	`cancel-sign-sub-inv_binary64`
281×	`associate-r_binary64`

Counts

114 → 162

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	1899
1	462	1675
2	1541	1611
3	3161	1607
4	4794	1607
5	4827	1607
6	4754	1607
7	4923	1607
8	4916	1607

prune296.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	162	3	165

Error

Counts

165 → 3

Alt Table

Status	Error	Program
✓	0.5b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
▶	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 4470 to 2720 computations (39.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.2b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	12.6b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

series112.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

63.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
48.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

rewrite25.0ms (0.4%)

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:

15.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
7.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify146.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
319×	`associate-/r*_binary64`
282×	`associate-/l/_binary64`
264×	`associate-/r/_binary64`
242×	`fma-neg_binary64`

Counts

93 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	1969
1	565	1810
2	2082	1763
3	4716	1759
4	4953	1759

prune119.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	111	3	114

Error

Counts

114 → 3

Alt Table

Status	Error	Program
✓	0.5b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))))
✓	12.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
✓	0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 1994 to 885 computations (55.6% saved)

regimes364.0ms (5.3%)

Accuracy

Total 0.0b remaining (41.2%)

Threshold costs 0.0b (41.2%)

Counts

51 → 1

Compiler

Compiled 4108 to 2623 computations (36.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end0.0ms (0%)

Compiler: Compiled 9 to 6 computations (33.3% saved)

sample4.0s (58.4%)

Algorithm

1×

intervals

Results

931.0ms	1965×	body	1024	valid
876.0ms	1928×	body	1024	invalid
464.0ms	4596×	body	128	valid
361.0ms	962×	body	512	valid
279.0ms	2628×	body	128	invalid
255.0ms	966×	body	512	invalid
108.0ms	457×	body	256	invalid
78.0ms	469×	body	256	valid
8.0ms	8×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 61 to 42 computations (31.1% saved)

Details

analyze758.0ms (10.9%)

sample175.0ms (2.5%)

simplify75.0ms (1.1%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

series113.0ms (1.6%)

rewrite27.0ms (0.4%)

simplify176.0ms (2.5%)

prune149.0ms (2.1%)

localize24.0ms (0.3%)

series84.0ms (1.2%)

rewrite24.0ms (0.3%)

simplify190.0ms (2.7%)

prune296.0ms (4.3%)

localize10.0ms (0.2%)

series112.0ms (1.6%)

rewrite25.0ms (0.4%)

simplify146.0ms (2.1%)

prune119.0ms (1.7%)

regimes364.0ms (5.3%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (58.4%)

Profiling