Details

analyze337.0ms (8.6%)

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

sample85.0ms (2.2%)

Algorithm

1×

intervals

Results

18.0ms	50×	body	1280	valid
15.0ms	50×	body	1280	invalid
8.0ms	40×	body	640	invalid
7.0ms	33×	body	640	valid
7.0ms	138×	body	80	valid
6.0ms	26×	body	320	valid
4.0ms	27×	body	320	invalid
4.0ms	75×	body	80	invalid
1.0ms	11×	body	160	invalid
1.0ms	9×	body	160	valid

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune5.0ms (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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 68

Calls

3 calls:

8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

series49.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms	(/.f64 (sinh.f64 y) y)
11.0ms	(sinh.f64 y)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4927	621
1	4927	621

prune74.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
14.0b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

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

series54.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) y)
22.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
8.0ms	(sinh.f64 y)

simplify42.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	6016	419

prune53.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

61 → 3

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
0.0b	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.0b	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
0.3b	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64` `add-sqr-sqrt_binary64`
17×	`associate-r_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1/2_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-up_binary64` `times-frac_binary64`
8×	`associate-*r/_binary64`
7×	`associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64` `sqrt-div_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`*-commutative_binary64`
1×	`cbrt-undiv_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-*l/_binary64`

Counts

4 → 108

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
8.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
5.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
4.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))

series295.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
100.0ms	(sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y)))
67.0ms	(.f64 (sqrt.f64 (.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))) (sqrt.f64 (*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))))
23.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5508	1884

prune122.0ms (3.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

regimes167.0ms (4.2%)

Accuracy

Total 0.0b remaining (21.9%)

Threshold costs 0.0b (21.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.4s (61.2%)

Algorithm

1×

intervals

Results

523.0ms	1510×	body	1280	valid
459.0ms	1469×	body	1280	invalid
272.0ms	1229×	body	640	valid
260.0ms	1237×	body	640	invalid
215.0ms	4325×	body	80	valid
130.0ms	2362×	body	80	invalid
88.0ms	610×	body	320	valid
86.0ms	589×	body	320	invalid
33.0ms	326×	body	160	valid
32.0ms	306×	body	160	invalid

Details

analyze337.0ms (8.6%)

sample85.0ms (2.2%)

simplify46.0ms (1.2%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series49.0ms (1.3%)

simplify62.0ms (1.6%)

prune74.0ms (1.9%)

localize6.0ms (0.2%)

rewrite13.0ms (0.3%)

series54.0ms (1.4%)

simplify42.0ms (1.1%)

prune53.0ms (1.3%)

localize9.0ms (0.2%)

rewrite35.0ms (0.9%)

series295.0ms (7.5%)

simplify49.0ms (1.2%)

prune122.0ms (3.1%)

regimes167.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.4s (61.2%)

Profiling