Details

analyze465.0ms (11.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4854	22
1	4854	22
0	2	2
1	2	2

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)

sample59.0ms (1.5%)

Algorithm

1×

intervals

Results

15.0ms	63×	body	1024	invalid
14.0ms	76×	body	1024	valid
6.0ms	126×	body	128	valid
4.0ms	36×	body	512	invalid
4.0ms	34×	body	512	valid
2.0ms	20×	body	256	valid
2.0ms	19×	body	256	invalid
1.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5030	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

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)

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_4874`
19×	`times-frac_binary64_4858` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
13×	`associate-r_binary64_4792`
10×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
5×	`pow1_binary64_4913`
3×	`associate-l_binary64_4793` `associate-/l_binary64_4797` `add-log-exp_binary64_4891` `associate-/r_binary64_4796`
2×	`unswap-sqr_binary64_4820` `cbrt-unprod_binary64_4885` `div-inv_binary64_4849` `prod-exp_binary64_4901` `sinh-def_binary64_5037` `cbrt-undiv_binary64_4886` `div-exp_binary64_4903`
1×	`associate-r/_binary64_4794` `associate-/l/_binary64_4799` `clear-num_binary64_4851` `pow-prod-down_binary64_4923` `frac-2neg_binary64_4863` `-commutative_binary64_4783`

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)

series194.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

93.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
64.0ms	(/.f64 (sinh.f64 y) y)
36.0ms	(sinh.f64 y)

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6416	1002

prune57.0ms (1.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Error

Counts

78 → 3

Compiler

Compiled 1005 to 278 computations (72.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
9×	`add-sqr-sqrt_binary64_4874`
7×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
5×	`pow1_binary64_4913`
3×	`associate-l_binary64_4793` `times-frac_binary64_4858` `associate-r_binary64_4792` `add-log-exp_binary64_4891` `associate-/r*_binary64_4796` `sinh-def_binary64_5037`
2×	`cbrt-unprod_binary64_4885` `prod-exp_binary64_4901` `associate-*l/_binary64_4795` `cbrt-undiv_binary64_4886` `div-exp_binary64_4903`
1×	`unswap-sqr_binary64_4820` `associate-/l/_binary64_4799` `div-inv_binary64_4849` `associate-/l_binary64_4797` `clear-num_binary64_4851` `pow-prod-down_binary64_4923` `frac-2neg_binary64_4863` `-commutative_binary64_4783`

Counts

3 → 49

Calls

3 calls:

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

series189.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

75.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
72.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
41.0ms	(sinh.f64 y)

simplify54.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5575	710

prune34.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	58	3	61

Error

Counts

61 → 3

Compiler

Compiled 690 to 220 computations (68.1% saved)

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) (/.f64 1 y)))
0.1b	(*.f64 (sinh.f64 y) (/.f64 1 y))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_4890`
19×	`add-sqr-sqrt_binary64_4874`
17×	`add-cbrt-cube_binary64_4888`
14×	`associate-r_binary64_4792`
13×	`*-un-lft-identity_binary64_4852` `prod-exp_binary64_4901`
12×	`add-cube-cbrt_binary64_4887`
11×	`times-frac_binary64_4858`
10×	`pow1_binary64_4913`
7×	`cbrt-unprod_binary64_4885`
6×	`associate-l_binary64_4793` `associate-*r/_binary64_4794`
5×	`sinh-def_binary64_5037`
4×	`pow-prod-down_binary64_4923` `div-exp_binary64_4903`
3×	`unswap-sqr_binary64_4820` `add-log-exp_binary64_4891`
2×	`1-exp_binary64_4896` `frac-times_binary64_4862` `rec-exp_binary64_4902` `associate-l/_binary64_4795` `cbrt-undiv_binary64_4886` `un-div-inv_binary64_4850` `-commutative_binary64_4783`
1×	`div-inv_binary64_4849`

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)

series193.0ms (4.8%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(.f64 (cos.f64 x) (.f64 (sinh.f64 y) (/.f64 1 y)))
55.0ms	(*.f64 (sinh.f64 y) (/.f64 1 y))
42.0ms	(sinh.f64 y)

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4942	859
1	4942	859

prune48.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 967 to 344 computations (64.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) y)
0.3b	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))
0.4b	(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3)

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874`
12×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
9×	`times-frac_binary64_4858`
8×	`cbrt-prod_binary64_4883`
7×	`pow1_binary64_4913`
4×	`add-log-exp_binary64_4891`
3×	`rem-cube-cbrt_binary64_4875` `associate-/l_binary64_4797` `associate-/r_binary64_4796` `pow-unpow_binary64_4929` `pow-exp_binary64_4920`
2×	`cube-prod_binary64_4880` `pow-pow_binary64_4924` `cbrt-unprod_binary64_4885` `cube-mult_binary64_4882` `unpow-prod-down_binary64_4931` `prod-exp_binary64_4901` `associate-*l/_binary64_4795` `cube-div_binary64_4881` `unpow3_binary64_4918` `sinh-def_binary64_5037` `cbrt-undiv_binary64_4886` `sqr-pow_binary64_4824` `div-exp_binary64_4903`
1×	`associate-/l/_binary64_4799` `div-inv_binary64_4849` `clear-num_binary64_4851` `pow1/3_binary64_4934` `cbrt-div_binary64_4884` `pow-to-exp_binary64_4921` `pow-prod-down_binary64_4923` `rem-cbrt-cube_binary64_4876` `frac-2neg_binary64_4863`

Counts

4 → 79

Calls

4 calls:

6.0ms	(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3)
4.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))
1.0ms	(sinh.f64 y)

series352.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

176.0ms	(pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3)
82.0ms	(cbrt.f64 (pow.f64 (*.f64 (/.f64 (sinh.f64 y) y) (cos.f64 x)) 3))
56.0ms	(/.f64 (sinh.f64 y) y)
37.0ms	(sinh.f64 y)

simplify38.0ms (1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5227	1241

prune65.0ms (1.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1362 to 531 computations (61% saved)

regimes101.0ms (2.5%)

Accuracy

Total 0.0b remaining (85.2%)

Threshold costs 0.0b (85.2%)

Compiler

Compiled 825 to 554 computations (32.8% 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%)

sample1.8s (45.6%)

Algorithm

1×

intervals

Results

380.0ms	1971×	body	1024	valid
364.0ms	2001×	body	1024	invalid
200.0ms	4474×	body	128	valid
130.0ms	1008×	body	512	valid
124.0ms	979×	body	512	invalid
46.0ms	541×	body	256	valid
43.0ms	500×	body	256	invalid
37.0ms	708×	body	128	invalid
3.0ms	6×	body	2048	valid

Compiler

Compiled 174 to 119 computations (31.6% saved)

Details

analyze465.0ms (11.7%)

sample59.0ms (1.5%)

simplify62.0ms (1.6%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite16.0ms (0.4%)

series194.0ms (4.9%)

simplify66.0ms (1.7%)

prune57.0ms (1.4%)

localize9.0ms (0.2%)

rewrite14.0ms (0.4%)

series189.0ms (4.8%)

simplify54.0ms (1.3%)

prune34.0ms (0.8%)

localize7.0ms (0.2%)

rewrite25.0ms (0.6%)

series193.0ms (4.8%)

simplify80.0ms (2%)

prune48.0ms (1.2%)

localize9.0ms (0.2%)

rewrite18.0ms (0.4%)

series352.0ms (8.8%)

simplify38.0ms (1%)

prune65.0ms (1.6%)

regimes101.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (45.6%)

Profiling