Details

analyze329.0ms (7.4%)

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)

sample57.0ms (1.3%)

Algorithm

1×

intervals

Results

15.0ms	68×	body	1024	valid
10.0ms	43×	body	1024	invalid
7.0ms	27×	body	512	valid
6.0ms	135×	body	128	valid
5.0ms	36×	body	512	invalid
2.0ms	26×	body	256	valid
1.0ms	12×	body	256	invalid
1.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify220.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4865	11
1	4865	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_5153`
19×	`add-cube-cbrt_binary64_5164` `*-un-lft-identity_binary64_5132` `times-frac_binary64_5138`
13×	`associate-r_binary64_5074`
10×	`add-cbrt-cube_binary64_5165` `add-exp-log_binary64_5167`
5×	`pow1_binary64_5190`
3×	`associate-l_binary64_5075` `add-log-exp_binary64_5168` `associate-/l_binary64_5079` `associate-/r_binary64_5078`
2×	`cbrt-undiv_binary64_5163` `unswap-sqr_binary64_5100` `prod-exp_binary64_5178` `div-exp_binary64_5180` `cbrt-unprod_binary64_5162` `sinh-def_binary64_5314` `div-inv_binary64_5129`
1×	`-commutative_binary64_5065` `frac-2neg_binary64_5143` `associate-/l/_binary64_5081` `associate-r/_binary64_5076` `pow-prod-down_binary64_5200` `clear-num_binary64_5131`

Counts

3 → 68

Calls

3 calls:

9.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
8.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

series379.0ms (8.5%)

Counts

3 → 9

Calls

3 calls:

190.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
118.0ms	(/.f64 (sinh.f64 y) y)
70.0ms	(sinh.f64 y)

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	6198	1002

prune50.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

Compiler

Compiled 997 to 271 computations (72.8% 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	(/.f64 1 (/.f64 y (sinh.f64 y)))
0.0b	(sinh.f64 y)
0.0b	(/.f64 y (sinh.f64 y))

rewrite55.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

162×	`times-frac_binary64_5138`
106×	`add-sqr-sqrt_binary64_5153`
94×	`*-un-lft-identity_binary64_5132`
92×	`add-cube-cbrt_binary64_5164`
47×	`associate-r_binary64_5074`
36×	`add-exp-log_binary64_5167`
20×	`add-cbrt-cube_binary64_5165`
17×	`associate-/r*_binary64_5078`
15×	`div-exp_binary64_5180`
10×	`associate-/r/_binary64_5080` `div-inv_binary64_5129`
9×	`sinh-def_binary64_5314`
7×	`pow1_binary64_5190` `cbrt-undiv_binary64_5163` `prod-exp_binary64_5178`
6×	`associate-/l*_binary64_5079`
5×	`unswap-sqr_binary64_5100`
4×	`rec-exp_binary64_5179` `add-log-exp_binary64_5168` `1-exp_binary64_5173`
3×	`associate-l_binary64_5075` `cbrt-unprod_binary64_5162`
2×	`frac-2neg_binary64_5143` `clear-num_binary64_5131`
1×	`un-div-inv_binary64_5130` `-commutative_binary64_5065` `associate-r/_binary64_5076` `pow-flip_binary64_5203` `inv-pow_binary64_5214` `pow-prod-down_binary64_5200`

Counts

4 → 192

Calls

4 calls:

23.0ms	(*.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)

series571.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(/.f64 y (sinh.f64 y))
174.0ms	(*.f64 (cos.f64 x) (/.f64 1 (/.f64 y (sinh.f64 y))))
123.0ms	(/.f64 1 (/.f64 y (sinh.f64 y)))
74.0ms	(sinh.f64 y)

simplify89.0ms (2%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4946	3093
1	4946	3093

prune143.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	204	0	204
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	204	2	206

Merged error: 0.0b

Counts

206 → 2

Compiler

Compiled 3119 to 993 computations (68.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
0.0b	(sinh.f64 y)
0.2b	(*.f64 (sinh.f64 y) (/.f64 1 y))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_5167`
19×	`add-sqr-sqrt_binary64_5153`
17×	`add-cbrt-cube_binary64_5165`
14×	`associate-r_binary64_5074`
13×	`prod-exp_binary64_5178` `*-un-lft-identity_binary64_5132`
12×	`add-cube-cbrt_binary64_5164`
11×	`times-frac_binary64_5138`
10×	`pow1_binary64_5190`
7×	`cbrt-unprod_binary64_5162`
6×	`associate-l_binary64_5075` `associate-*r/_binary64_5076`
5×	`sinh-def_binary64_5314`
4×	`div-exp_binary64_5180` `pow-prod-down_binary64_5200`
3×	`add-log-exp_binary64_5168` `unswap-sqr_binary64_5100`
2×	`frac-times_binary64_5142` `rec-exp_binary64_5179` `un-div-inv_binary64_5130` `cbrt-undiv_binary64_5163` `-commutative_binary64_5065` `associate-l/_binary64_5077` `1-exp_binary64_5173`
1×	`div-inv_binary64_5129`

Counts

3 → 72

Calls

3 calls:

10.0ms	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
9.0ms	(*.f64 (sinh.f64 y) (/.f64 1 y))
1.0ms	(sinh.f64 y)

series384.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

187.0ms	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
131.0ms	(*.f64 (sinh.f64 y) (/.f64 1 y))
66.0ms	(sinh.f64 y)

simplify88.0ms (2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4966	859
1	4966	859

prune49.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0.0b

Counts

83 → 2

Compiler

Compiled 957 to 335 computations (65% saved)

regimes23.0ms (0.5%)

Compiler: Compiled 62 to 62 computations (0% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	14
1	11	14

end0.0ms (0%)

sample1.9s (42.3%)

Algorithm

1×

intervals

Results

492.0ms	2055×	body	1024	valid
423.0ms	1903×	body	1024	invalid
206.0ms	4444×	body	128	valid
140.0ms	1023×	body	512	invalid
135.0ms	987×	body	512	valid
50.0ms	512×	body	256	valid
46.0ms	488×	body	256	invalid
45.0ms	740×	body	128	invalid
1.0ms	2×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 35 to 33 computations (5.7% saved)

Details

analyze329.0ms (7.4%)

sample57.0ms (1.3%)

simplify220.0ms (4.9%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite23.0ms (0.5%)

series379.0ms (8.5%)

simplify62.0ms (1.4%)

prune50.0ms (1.1%)

localize8.0ms (0.2%)

rewrite55.0ms (1.2%)

series571.0ms (12.8%)

simplify89.0ms (2%)

prune143.0ms (3.2%)

localize8.0ms (0.2%)

rewrite26.0ms (0.6%)

series384.0ms (8.6%)

simplify88.0ms (2%)

prune49.0ms (1.1%)

regimes23.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (42.3%)

Profiling