Details

analyze436.0ms (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
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)

sample135.0ms (2.5%)

Algorithm

1×

intervals

Results

23.0ms	60×	body	1024	valid
18.0ms	46×	body	1024	invalid
8.0ms	138×	body	128	valid
6.0ms	36×	body	512	valid
6.0ms	33×	body	512	invalid
4.0ms	58×	body	128	invalid
3.0ms	22×	body	256	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify58.0ms (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

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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (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)
✓	0.2b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

series50.0ms (0.9%)

Counts

3 → 48

Calls

3 calls:

30.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
11.0ms	(/.f64 (sinh.f64 y) y)
9.0ms	(sinh.f64 y)

rewrite14.0ms (0.3%)

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:

6.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

simplify86.0ms (1.6%)

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

prune85.0ms (1.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	4	128

Error

0.2b

Counts

128 → 4

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
▶	0.9b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
	13.8b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
	29.7b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))

Compiler

Compiled 2132 to 837 computations (60.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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))
✓	0.2b	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))

series66.0ms (1.2%)

Counts

4 → 16

Calls

4 calls:

25.0ms	(.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x)))
14.0ms	(.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x)))
14.0ms	(*.f64 (pow.f64 y 4) (sin.f64 x))
12.0ms	(*.f64 (pow.f64 y 2) (sin.f64 x))

rewrite26.0ms (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:

8.0ms	(*.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))

simplify151.0ms (2.8%)

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

prune181.0ms (3.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	162	4	166

Error

0.2b

Counts

166 → 4

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	0.9b	(+.f64 (.f64 1/120 (.f64 (pow.f64 y 4) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 6) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 1/6 (.f64 (pow.f64 y 2) (sin.f64 x))))))
▶	13.8b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
	29.7b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))

Compiler

Compiled 5967 to 3718 computations (37.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sinh.f64 y)
✓	0.3b	(*.f64 (sin.f64 x) (sinh.f64 y))
✓	13.6b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))

series57.0ms (1%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
24.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
16×	`associate-r_binary64`
16×	`add-cbrt-cube_binary64`
13×	`add-sqr-sqrt_binary64`
13×	`prod-exp_binary64`

Counts

2 → 63

Calls

2 calls:

7.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify65.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

819×	`fma-def_binary64`
478×	`associate-/l*_binary64`
447×	`times-frac_binary64`
211×	`cancel-sign-sub-inv_binary64`
206×	`associate-l_binary64`

Counts

111 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2247
1	614	2039
2	2106	1992
3	5034	1992

prune79.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	141	4	145

Error

0.2b

Counts

145 → 4

Alt Table

Status	Error	Program
▶	14.4b	(.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) (sin.f64 x))) (.f64 y (sin.f64 x))))) (/.f64 1 y))
✓	0.3b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
✓	13.8b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
	29.7b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))

Compiler

Compiled 2733 to 1316 computations (51.8% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 y 3) (sin.f64 x))
✓	0.1b	(.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x)))
✓	0.1b	(*.f64 y (sin.f64 x))
✓	13.6b	(.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) (sin.f64 x))) (.f64 y (sin.f64 x))))) (/.f64 1 y))

series119.0ms (2.2%)

Counts

4 → 36

Calls

4 calls:

78.0ms	(.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) (sin.f64 x))) (.f64 y (sin.f64 x))))) (/.f64 1 y))
18.0ms	(.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x)))
16.0ms	(*.f64 (pow.f64 y 3) (sin.f64 x))
7.0ms	(*.f64 y (sin.f64 x))

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64`
30×	`add-exp-log_binary64`
21×	`associate-l_binary64`
20×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64`

Counts

4 → 116

Calls

4 calls:

16.0ms	(.f64 (+.f64 (.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x))) (+.f64 (.f64 1/120 (.f64 (pow.f64 y 5) (sin.f64 x))) (+.f64 (.f64 1/5040 (.f64 (pow.f64 y 7) (sin.f64 x))) (.f64 y (sin.f64 x))))) (/.f64 1 y))
8.0ms	(*.f64 (pow.f64 y 3) (sin.f64 x))
5.0ms	(.f64 1/6 (.f64 (pow.f64 y 3) (sin.f64 x)))
3.0ms	(*.f64 y (sin.f64 x))

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

456×	`associate-r_binary64`
407×	`associate-l_binary64`
314×	`fma-neg_binary64`
297×	`unswap-sqr_binary64`
275×	`fma-def_binary64`

Counts

152 → 218

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	4912
1	833	4182
2	3769	4168
3	5050	4168

prune231.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	217	1	218
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	218	4	222

Error

0.2b

Counts

222 → 4

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
	39.1b	(.f64 (sqrt.f64 (/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 7)) y)) (.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) (.f64 1/120 (pow.f64 y 5))))) y)) (sqrt.f64 (/.f64 (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 1/5040 (pow.f64 y 7)) y)) (.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 y 3) (*.f64 1/120 (pow.f64 y 5))))) y)))
✓	13.8b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 y))
	29.7b	(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 y)) (/.f64 (sinh.f64 y) (sqrt.f64 y)))

Compiler

Compiled 10017 to 6261 computations (37.5% saved)

regimes260.0ms (4.8%)

Accuracy

Total 0.0b remaining (24.2%)

Threshold costs 0.0b (24.2%)

Counts

45 → 1

Compiler

Compiled 5615 to 3939 computations (29.8% 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

end0.0ms (0%)

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

sample3.1s (57.1%)

Algorithm

1×

intervals

Results

811.0ms	2043×	body	1024	valid
658.0ms	2003×	body	1024	invalid
315.0ms	4460×	body	128	valid
256.0ms	2509×	body	128	invalid
178.0ms	976×	body	512	valid
176.0ms	942×	body	512	invalid
65.0ms	516×	body	256	valid
58.0ms	481×	body	256	invalid
7.0ms	5×	body	2048	valid

Compiler

Compiled 111 to 77 computations (30.6% saved)

Details

analyze436.0ms (8%)

sample135.0ms (2.5%)

simplify58.0ms (1.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series50.0ms (0.9%)

rewrite14.0ms (0.3%)

simplify86.0ms (1.6%)

prune85.0ms (1.6%)

localize17.0ms (0.3%)

series66.0ms (1.2%)

rewrite26.0ms (0.5%)

simplify151.0ms (2.8%)

prune181.0ms (3.3%)

localize7.0ms (0.1%)

series57.0ms (1%)

rewrite15.0ms (0.3%)

simplify65.0ms (1.2%)

prune79.0ms (1.5%)

localize23.0ms (0.4%)

series119.0ms (2.2%)

rewrite39.0ms (0.7%)

simplify115.0ms (2.1%)

prune231.0ms (4.3%)

regimes260.0ms (4.8%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.1s (57.1%)

Profiling