Details

analyze885.0ms (11.1%)

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
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)

sample110.0ms (1.4%)

Algorithm

1×

intervals

Results

32.0ms	64×	body	1024	valid
19.0ms	52×	body	1024	invalid
12.0ms	138×	body	128	valid
11.0ms	41×	body	512	valid
7.0ms	71×	body	128	invalid
6.0ms	23×	body	512	invalid
2.0ms	13×	body	256	valid
2.0ms	13×	body	256	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5030	11

prune4.0ms (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)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite31.0ms (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:

13.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
7.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(sinh.f64 y)

series590.0ms (7.4%)

Counts

3 → 22

Calls

3 calls:

379.0ms	(*.f64 (sin.f64 x) (/.f64 (sinh.f64 y) y))
126.0ms	(/.f64 (sinh.f64 y) y)
84.0ms	(sinh.f64 y)

Compiler

Compiled 543 to 440 computations (19% saved)

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4963	1217
1	4963	1217

prune116.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Error

Counts

91 → 3

Compiler

Compiled 1170 to 356 computations (69.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite98.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`add-sqr-sqrt_binary64_4874`
66×	`sqrt-prod_binary64_4868`
62×	`times-frac_binary64_4858`
53×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
24×	`pow1_binary64_4913`
19×	`associate-l_binary64_4793`
18×	`swap-sqr_binary64_4819`
17×	`associate-r_binary64_4792`
15×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
10×	`unswap-sqr_binary64_4820`
8×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `sqrt-div_binary64_4869`
6×	`div-inv_binary64_4849` `associate-/l_binary64_4797` `associate-/r_binary64_4796` `pow-prod-down_binary64_4923`
5×	`associate-*r/_binary64_4794` `pow-prod-up_binary64_4922`
4×	`cbrt-unprod_binary64_4885` `rem-sqrt-square_binary64_4865` `add-log-exp_binary64_4891` `prod-exp_binary64_4901`
3×	`pow-sqr_binary64_4825`
2×	`frac-times_binary64_4862` `associate-/l/_binary64_4799` `clear-num_binary64_4851` `associate-l/_binary64_4795` `sqr-abs_binary64_4867` `sinh-def_binary64_5037` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `div-exp_binary64_4903` `-commutative_binary64_4783`
1×	`sqrt-unprod_binary64_4872` `pow-plus_binary64_4915` `rem-square-sqrt_binary64_4864` `pow2_binary64_4933`

Counts

4 → 167

Calls

4 calls:

26.0ms	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
26.0ms	(.f64 (sin.f64 x) (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))))
7.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(/.f64 (sinh.f64 y) y)

series879.0ms (11.1%)

Counts

4 → 28

Calls

4 calls:

442.0ms	(.f64 (sin.f64 x) (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y))))
174.0ms	(*.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
134.0ms	(/.f64 (sinh.f64 y) y)
128.0ms	(/.f64 (sinh.f64 y) y)

Compiler

Compiled 1013 to 820 computations (19.1% saved)

simplify111.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5149	2811

prune237.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	195	3	198

Error

Counts

198 → 3

Compiler

Compiled 3357 to 770 computations (77.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 y)
0.0b	(/.f64 (sinh.f64 y) y)
0.0b	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
0.0b	(pow.f64 (/.f64 (sinh.f64 y) y) 3)

rewrite50.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
10.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
7.0ms	(/.f64 (sinh.f64 y) y)
2.0ms	(sinh.f64 y)

series564.0ms (7.1%)

Counts

4 → 24

Calls

4 calls:

232.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
146.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
120.0ms	(/.f64 (sinh.f64 y) y)
66.0ms	(sinh.f64 y)

Compiler

Compiled 552 to 504 computations (8.7% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5324	1965

prune183.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	148	3	151

Error

Counts

151 → 3

Compiler

Compiled 2181 to 893 computations (59.1% saved)

regimes153.0ms (1.9%)

Accuracy

Total 0.0b remaining (63.3%)

Threshold costs 0.0b (63.3%)

Compiler

Compiled 455 to 394 computations (13.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	23
1	10	23

end0.0ms (0%)

sample3.6s (44.9%)

Algorithm

1×

intervals

Results

752.0ms	2054×	body	1024	valid
671.0ms	1980×	body	1024	invalid
401.0ms	4449×	body	128	valid
253.0ms	1012×	body	512	valid
252.0ms	970×	body	512	invalid
249.0ms	2537×	body	128	invalid
85.0ms	526×	body	256	invalid
81.0ms	483×	body	256	valid
3.0ms	2×	body	2048	valid
1.0ms	1×	body	2048	invalid

Compiler

Compiled 107 to 89 computations (16.8% saved)

Details

analyze885.0ms (11.1%)

sample110.0ms (1.4%)

simplify109.0ms (1.4%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite31.0ms (0.4%)

series590.0ms (7.4%)

simplify111.0ms (1.4%)

prune116.0ms (1.5%)

localize16.0ms (0.2%)

rewrite98.0ms (1.2%)

series879.0ms (11.1%)

simplify111.0ms (1.4%)

prune237.0ms (3%)

localize16.0ms (0.2%)

rewrite50.0ms (0.6%)

series564.0ms (7.1%)

simplify101.0ms (1.3%)

prune183.0ms (2.3%)

regimes153.0ms (1.9%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.6s (44.9%)

Profiling