Details

analyze377.0ms (11.8%)

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
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

sample70.0ms (2.2%)

Algorithm

1×

intervals

Results

16.0ms	53×	body	1280	invalid
13.0ms	42×	body	1280	valid
7.0ms	40×	body	640	valid
7.0ms	38×	body	640	invalid
6.0ms	139×	body	80	valid
3.0ms	20×	body	320	valid
2.0ms	16×	body	320	invalid
1.0ms	15×	body	160	valid
1.0ms	8×	body	160	invalid
1.0ms	11×	body	80	invalid

simplify43.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4909	7
1	4909	7

prune5.0ms (0.2%)

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

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite14.0ms (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:

7.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

series44.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms	(/.f64 (sinh.f64 y) y)
8.0ms	(sinh.f64 y)

simplify56.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4928	621
1	4928	621

prune70.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0b

Counts

78 → 2

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
0.1b	(exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
1.6b	(log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`times-frac_binary64`
17×	`add-exp-log_binary64`
13×	`associate-l_binary64`
12×	`pow1_binary64`
11×	`add-cbrt-cube_binary64`
5×	`exp-prod_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-r_binary64` `rem-log-exp_binary64` `associate-/l_binary64` `div-exp_binary64` `associate-*l/_binary64`
2×	`cbrt-unprod_binary64` `log-prod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-inv_binary64` `log-div_binary64`
1×	`associate-/l/_binary64` `sinh-def_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

7.0ms	(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
5.0ms	(exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
5.0ms	(log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))
4.0ms	(/.f64 (sinh.f64 y) y)

series92.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)))
19.0ms	(exp.f64 (log.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))))
19.0ms	(*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x))
13.0ms	(/.f64 (sinh.f64 y) y)

simplify50.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5453	854

prune90.0ms (2.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

regimes146.0ms (4.6%)

Accuracy

Total 0.0b remaining (1.1%)

Threshold costs 0.0b (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.1s (65.7%)

Algorithm

1×

intervals

Results

510.0ms	1500×	body	1280	valid
423.0ms	1466×	body	1280	invalid
234.0ms	1222×	body	640	valid
223.0ms	1176×	body	640	invalid
192.0ms	4325×	body	80	valid
86.0ms	633×	body	320	invalid
83.0ms	633×	body	320	valid
31.0ms	320×	body	160	valid
28.0ms	505×	body	80	invalid
27.0ms	296×	body	160	invalid

Details

analyze377.0ms (11.8%)

sample70.0ms (2.2%)

simplify43.0ms (1.3%)

prune5.0ms (0.2%)

localize7.0ms (0.2%)

rewrite14.0ms (0.4%)

series44.0ms (1.4%)

simplify56.0ms (1.7%)

prune70.0ms (2.2%)

localize9.0ms (0.3%)

rewrite23.0ms (0.7%)

series92.0ms (2.9%)

simplify50.0ms (1.6%)

prune90.0ms (2.8%)

regimes146.0ms (4.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (65.7%)

Profiling