Details

analyze472.0ms (13.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	22
0	2	2
1	2	2

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 8 to 7 computations (12.5% saved)

sample60.0ms (1.7%)

Algorithm

1×

intervals

Results

13.0ms	70×	body	1024	invalid
12.0ms	57×	body	1024	valid
8.0ms	156×	body	128	valid
4.0ms	85×	body	128	invalid
4.0ms	32×	body	512	valid
3.0ms	24×	body	512	invalid
1.0ms	15×	body	256	invalid
1.0ms	11×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify59.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5030	11

prune2.0ms (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

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(sinh.f64 y)

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_4533`
13×	`associate-r_binary64_4451`
10×	`*-un-lft-identity_binary64_4511` `times-frac_binary64_4517` `add-cube-cbrt_binary64_4546`
7×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
4×	`pow1_binary64_4572`
3×	`associate-l_binary64_4452`
2×	`unswap-sqr_binary64_4479` `add-log-exp_binary64_4550` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544`
1×	`associate-r/_binary64_4453` `div-exp_binary64_4562` `pow-prod-down_binary64_4582` `-commutative_binary64_4442` `div-inv_binary64_4508` `cbrt-undiv_binary64_4545` `sinh-def_binary64_4696`

Counts

2 → 40

Calls

2 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
1.0ms	(sinh.f64 y)

series137.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

100.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
37.0ms	(sinh.f64 y)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5527	622

prune32.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 604 to 173 computations (71.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sinh.f64 y) (sin.f64 x))
12.0b	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
9×	`add-sqr-sqrt_binary64_4533`
7×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
5×	`pow1_binary64_4572`
3×	`add-log-exp_binary64_4550` `associate-l_binary64_4452` `associate-r_binary64_4451` `associate-/r*_binary64_4455` `times-frac_binary64_4517` `sinh-def_binary64_4696`
2×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `div-exp_binary64_4562` `associate-*l/_binary64_4454` `cbrt-undiv_binary64_4545`
1×	`associate-/l_binary64_4456` `associate-/l/_binary64_4458` `unswap-sqr_binary64_4479` `frac-2neg_binary64_4522` `pow-prod-down_binary64_4582` `-commutative_binary64_4442` `clear-num_binary64_4510` `div-inv_binary64_4508`

Counts

3 → 49

Calls

3 calls:

6.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
5.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))
1.0ms	(sinh.f64 y)

series186.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

80.0ms	(/.f64 (*.f64 (sinh.f64 y) (sin.f64 x)) y)
70.0ms	(*.f64 (sinh.f64 y) (sin.f64 x))
35.0ms	(sinh.f64 y)

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5613	713

prune36.0ms (1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Error

Counts

61 → 3

Compiler

Compiled 680 to 211 computations (69% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(/.f64 y (sin.f64 x))
0.2b	(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))

rewrite20.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

84×	`times-frac_binary64_4517`
53×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
16×	`associate-/r*_binary64_4455`
10×	`add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549`
6×	`associate-/l*_binary64_4456` `div-inv_binary64_4508`
4×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545`
3×	`pow1_binary64_4572` `add-log-exp_binary64_4550`
2×	`frac-2neg_binary64_4522` `clear-num_binary64_4510` `sinh-def_binary64_4696`
1×	`associate-/l/_binary64_4458` `associate-/r/_binary64_4457`

Counts

3 → 106

Calls

3 calls:

7.0ms	(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
3.0ms	(/.f64 y (sin.f64 x))
1.0ms	(sinh.f64 y)

series170.0ms (4.7%)

Counts

3 → 9

Calls

3 calls:

77.0ms	(/.f64 (sinh.f64 y) (/.f64 y (sin.f64 x)))
57.0ms	(/.f64 y (sin.f64 x))
36.0ms	(sinh.f64 y)

simplify67.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5584	2109

prune67.0ms (1.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Error

Counts

118 → 3

Compiler

Compiled 1674 to 328 computations (80.4% saved)

regimes77.0ms (2.1%)

Accuracy

Total 0.0b remaining (41.8%)

Threshold costs 0.0b (41.8%)

Compiler

Compiled 500 to 299 computations (40.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	11
1	8	11

end0.0ms (0%)

sample2.0s (56.7%)

Algorithm

1×

intervals

Results

417.0ms	1979×	body	1024	valid
383.0ms	1985×	body	1024	invalid
230.0ms	4440×	body	128	valid
155.0ms	1063×	body	512	valid
139.0ms	1006×	body	512	invalid
133.0ms	2635×	body	128	invalid
53.0ms	516×	body	256	valid
51.0ms	464×	body	256	invalid
2.0ms	2×	body	2048	valid

Compiler

Compiled 109 to 68 computations (37.6% saved)

Details

analyze472.0ms (13.2%)

sample60.0ms (1.7%)

simplify59.0ms (1.7%)

prune2.0ms (0.1%)

localize10.0ms (0.3%)

rewrite12.0ms (0.3%)

series137.0ms (3.8%)

simplify62.0ms (1.7%)

prune32.0ms (0.9%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series186.0ms (5.2%)

simplify55.0ms (1.5%)

prune36.0ms (1%)

localize6.0ms (0.2%)

rewrite20.0ms (0.6%)

series170.0ms (4.7%)

simplify67.0ms (1.9%)

prune67.0ms (1.9%)

regimes77.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (56.7%)

Profiling