Details

analyze338.0ms (8.3%)

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample60.0ms (1.5%)

Algorithm

1×

intervals

Results

15.0ms	59×	body	1024	valid
14.0ms	63×	body	1024	invalid
7.0ms	148×	body	128	valid
4.0ms	31×	body	512	invalid
4.0ms	29×	body	512	valid
2.0ms	20×	body	256	valid
2.0ms	13×	body	256	invalid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify275.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4726	11
1	4726	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (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)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_3885`
19×	`add-cube-cbrt_binary64_3898` `times-frac_binary64_3869` `*-un-lft-identity_binary64_3863`
13×	`associate-r_binary64_3803`
10×	`add-cbrt-cube_binary64_3899` `add-exp-log_binary64_3901`
5×	`pow1_binary64_3924`
3×	`add-log-exp_binary64_3902` `associate-/r_binary64_3807` `associate-/l_binary64_3808` `associate-l_binary64_3804`
2×	`div-inv_binary64_3860` `prod-exp_binary64_3912` `cbrt-unprod_binary64_3896` `div-exp_binary64_3914` `unswap-sqr_binary64_3831` `cbrt-undiv_binary64_3897` `sinh-def_binary64_4048`
1×	`frac-2neg_binary64_3874` `associate-/l/_binary64_3810` `-commutative_binary64_3794` `associate-r/_binary64_3805` `pow-prod-down_binary64_3934` `clear-num_binary64_3862`

Counts

3 → 68

Calls

3 calls:

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

series410.0ms (10%)

Counts

3 → 9

Calls

3 calls:

196.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
139.0ms	(/.f64 (sinh.f64 y) y)
74.0ms	(sinh.f64 y)

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6026	1002

prune62.0ms (1.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0b

Counts

78 → 1

Compiler

Compiled 1131 to 354 computations (68.7% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
0.0b	(sinh.f64 y)
0.0b	(/.f64 1 (/.f64 y (sinh.f64 y)))
0.0b	(/.f64 y (sinh.f64 y))

rewrite50.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_3869`
106×	`add-sqr-sqrt_binary64_3885`
94×	`*-un-lft-identity_binary64_3863`
92×	`add-cube-cbrt_binary64_3898`
47×	`associate-r_binary64_3803`
36×	`add-exp-log_binary64_3901`
20×	`add-cbrt-cube_binary64_3899`
17×	`associate-/r*_binary64_3807`
15×	`div-exp_binary64_3914`
10×	`div-inv_binary64_3860` `associate-/r/_binary64_3809`
9×	`sinh-def_binary64_4048`
7×	`prod-exp_binary64_3912` `cbrt-undiv_binary64_3897` `pow1_binary64_3924`
6×	`associate-/l*_binary64_3808`
5×	`unswap-sqr_binary64_3831`
4×	`add-log-exp_binary64_3902` `1-exp_binary64_3907` `rec-exp_binary64_3913`
3×	`cbrt-unprod_binary64_3896` `associate-l_binary64_3804`
2×	`frac-2neg_binary64_3874` `clear-num_binary64_3862`
1×	`un-div-inv_binary64_3861` `-commutative_binary64_3794` `inv-pow_binary64_3948` `associate-r/_binary64_3805` `pow-prod-down_binary64_3934` `pow-flip_binary64_3937`

Counts

4 → 192

Calls

4 calls:

19.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
4.0ms	(/.f64 y (sinh.f64 y))
1.0ms	(sinh.f64 y)

series613.0ms (15%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(/.f64 y (sinh.f64 y))
194.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
140.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
70.0ms	(sinh.f64 y)

simplify88.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4950	3093
1	4950	3093

prune140.0ms (3.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	204	1	205

Merged error: 0b

Counts

205 → 1

Compiler

Compiled 3135 to 1007 computations (67.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms (0%)

sample2.0s (47.7%)

Algorithm

1×

intervals

Results

504.0ms	2015×	body	1024	valid
448.0ms	1990×	body	1024	invalid
220.0ms	4565×	body	128	valid
148.0ms	977×	body	512	invalid
136.0ms	937×	body	512	valid
51.0ms	479×	body	256	invalid
48.0ms	472×	body	256	valid
44.0ms	732×	body	128	invalid
8.0ms	11×	body	2048	valid

Compiler

Compiled 26 to 25 computations (3.8% saved)

Details

analyze338.0ms (8.3%)

sample60.0ms (1.5%)

simplify275.0ms (6.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite18.0ms (0.4%)

series410.0ms (10%)

simplify67.0ms (1.6%)

prune62.0ms (1.5%)

localize8.0ms (0.2%)

rewrite50.0ms (1.2%)

series613.0ms (15%)

simplify88.0ms (2.2%)

prune140.0ms (3.4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (47.7%)

Profiling