Details

analyze318.0ms (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 8 to 7 computations (12.5% saved)

sample55.0ms (1.4%)

Algorithm

1×

intervals

Results

13.0ms	60×	body	1024	valid
8.0ms	46×	body	1024	invalid
7.0ms	143×	body	128	valid
5.0ms	40×	body	512	valid
4.0ms	77×	body	128	invalid
4.0ms	27×	body	512	invalid
1.0ms	13×	body	256	valid
1.0ms	13×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify150.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5030	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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_3510`
13×	`associate-r_binary64_3428`
10×	`times-frac_binary64_3494`
9×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
3×	`associate-l_binary64_3429` `pow1_binary64_3549`
2×	`unswap-sqr_binary64_3456` `cbrt-unprod_binary64_3521` `prod-exp_binary64_3537`
1×	`associate-r/_binary64_3430` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `-commutative_binary64_3419` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-inv_binary64_3485`

Counts

1 → 32

Calls

1 calls:

7.0ms

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

series106.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

106.0ms

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

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5352	524

prune23.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 468 to 114 computations (75.6% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`sqrt-prod_binary64_3504`
48×	`add-sqr-sqrt_binary64_3510`
39×	`times-frac_binary64_3494`
35×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
32×	`associate-r_binary64_3428`
13×	`pow1_binary64_3549`
11×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
7×	`sqrt-div_binary64_3505`
4×	`associate-l_binary64_3429` `cbrt-unprod_binary64_3521` `associate-*r/_binary64_3430` `pow-prod-down_binary64_3559` `add-log-exp_binary64_3527` `div-inv_binary64_3485` `prod-exp_binary64_3537` `rem-sqrt-square_binary64_3501`
3×	`unswap-sqr_binary64_3456`
2×	`pow1/2_binary64_3568` `*-commutative_binary64_3419` `sqrt-pow1_binary64_3506`
1×	`associate-*l/_binary64_3431` `frac-times_binary64_3498`

Counts

4 → 118

Calls

4 calls:

12.0ms	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
9.0ms	(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
3.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))
3.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))

series767.0ms (19.4%)

Counts

4 → 12

Calls

4 calls:

263.0ms	(*.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
263.0ms	(.f64 (.f64 (sin.f64 x) (sqrt.f64 (/.f64 (sinh.f64 y) y))) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
123.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))
119.0ms	(sqrt.f64 (/.f64 (sinh.f64 y) y))

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	3611
1	4982	3611

prune127.0ms (3.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	2	132

Error

Counts

132 → 2

Compiler

Compiled 3390 to 1008 computations (70.3% saved)

regimes53.0ms (1.3%)

Accuracy

Total 0.0b remaining (60.7%)

Threshold costs 0.0b (60.7%)

Compiler

Compiled 265 to 184 computations (30.6% 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%)

sample2.2s (54.6%)

Algorithm

1×

intervals

Results

578.0ms	1909×	body	1024	invalid
432.0ms	2047×	body	1024	valid
227.0ms	4433×	body	128	valid
145.0ms	1032×	body	512	valid
144.0ms	2619×	body	128	invalid
133.0ms	990×	body	512	invalid
46.0ms	484×	body	256	valid
43.0ms	455×	body	256	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 62 to 45 computations (27.4% saved)

Details

analyze318.0ms (8%)

sample55.0ms (1.4%)

simplify150.0ms (3.8%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite10.0ms (0.2%)

series106.0ms (2.7%)

simplify59.0ms (1.5%)

prune23.0ms (0.6%)

localize8.0ms (0.2%)

rewrite37.0ms (0.9%)

series767.0ms (19.4%)

simplify78.0ms (2%)

prune127.0ms (3.2%)

regimes53.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.2s (54.6%)

Profiling