Details

analyze333.0ms (5.8%)

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
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)

sample54.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	58×	body	1024	valid
10.0ms	45×	body	1024	invalid
7.0ms	148×	body	128	valid
5.0ms	31×	body	512	valid
4.0ms	27×	body	512	invalid
2.0ms	20×	body	256	invalid
2.0ms	18×	body	256	valid
1.0ms	12×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify269.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4726	11
1	4726	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)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_4229`
19×	`times-frac_binary64_4213` `*-un-lft-identity_binary64_4207` `add-cube-cbrt_binary64_4242`
13×	`associate-r_binary64_4147`
10×	`add-cbrt-cube_binary64_4243` `add-exp-log_binary64_4245`
5×	`pow1_binary64_4268`
3×	`associate-l_binary64_4148` `add-log-exp_binary64_4246` `associate-/l_binary64_4152` `associate-/r_binary64_4151`
2×	`cbrt-undiv_binary64_4241` `cbrt-unprod_binary64_4240` `sinh-def_binary64_4392` `div-exp_binary64_4258` `div-inv_binary64_4204` `prod-exp_binary64_4256` `unswap-sqr_binary64_4175`
1×	`associate-r/_binary64_4149` `pow-prod-down_binary64_4278` `associate-/l/_binary64_4154` `-commutative_binary64_4138` `clear-num_binary64_4206` `frac-2neg_binary64_4218`

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)

series392.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

191.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
132.0ms	(/.f64 (sinh.f64 y) y)
69.0ms	(sinh.f64 y)

simplify60.0ms (1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	6026	1002

prune80.0ms (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

Merged error: 0b

Counts

78 → 3

Compiler

Compiled 1317 to 519 computations (60.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_4229` `*-un-lft-identity_binary64_4207` `add-cube-cbrt_binary64_4242`
18×	`times-frac_binary64_4213`
16×	`associate-r_binary64_4147`
13×	`sqrt-prod_binary64_4223`
11×	`add-cbrt-cube_binary64_4243` `add-exp-log_binary64_4245`
9×	`pow1_binary64_4268`
4×	`sqrt-div_binary64_4224` `add-log-exp_binary64_4246`
3×	`cbrt-unprod_binary64_4240` `sinh-def_binary64_4392` `associate-l/_binary64_4150` `pow-prod-down_binary64_4278` `prod-exp_binary64_4256` `associate-/l_binary64_4152` `associate-/r*_binary64_4151`
2×	`div-inv_binary64_4204`
1×	`associate-r/_binary64_4149` `cbrt-undiv_binary64_4241` `associate-l_binary64_4148` `associate-/l/_binary64_4154` `div-exp_binary64_4258` `-commutative_binary64_4138` `clear-num_binary64_4206` `frac-2neg_binary64_4218` `frac-times_binary64_4217`

Counts

4 → 78

Calls

4 calls:

14.0ms	(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
6.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)
1.0ms	(sinh.f64 y)

series814.0ms (14.1%)

Counts

4 → 12

Calls

4 calls:

543.0ms	(.f64 (.f64 (sqrt.f64 (/.f64 (sinh.f64 y) y)) (cos.f64 x)) (sqrt.f64 (/.f64 (sinh.f64 y) y)))
129.0ms	(/.f64 (sinh.f64 y) y)
72.0ms	(sinh.f64 y)
70.0ms	(sinh.f64 y)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4953	1576
1	4953	1576

prune74.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	90	3	93

Merged error: 0b

Counts

93 → 3

Compiler

Compiled 1842 to 515 computations (72% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_4213`
42×	`add-sqr-sqrt_binary64_4229` `*-un-lft-identity_binary64_4207` `add-cube-cbrt_binary64_4242`
32×	`cbrt-prod_binary64_4238`
26×	`cube-prod_binary64_4235` `unpow-prod-down_binary64_4286`
9×	`add-cbrt-cube_binary64_4243` `add-exp-log_binary64_4245`
5×	`div-inv_binary64_4204` `pow1_binary64_4268`
4×	`add-log-exp_binary64_4246`
3×	`pow-unpow_binary64_4284` `associate-/l_binary64_4152` `associate-/r_binary64_4151`
2×	`cbrt-undiv_binary64_4241` `sqr-pow_binary64_4179` `sinh-def_binary64_4392` `div-exp_binary64_4258` `unpow3_binary64_4273` `rem-cube-cbrt_binary64_4230` `cube-mult_binary64_4237` `pow-exp_binary64_4275` `cube-div_binary64_4236`
1×	`rem-cbrt-cube_binary64_4231` `associate-/l/_binary64_4154` `pow-to-exp_binary64_4276` `pow-pow_binary64_4279` `clear-num_binary64_4206` `cbrt-div_binary64_4239` `pow1/3_binary64_4289` `frac-2neg_binary64_4218`

Counts

4 → 124

Calls

4 calls:

6.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
6.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

series557.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
131.0ms	(cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3))
126.0ms	(/.f64 (sinh.f64 y) y)
68.0ms	(sinh.f64 y)

simplify69.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5828	1809

prune99.0ms (1.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	136	3	139

Merged error: 0b

Counts

139 → 3

Compiler

Compiled 2020 to 788 computations (61% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y)
0.0b	(sinh.f64 y)
0.0b	(pow.f64 (sinh.f64 y) 3)
38.8b	(cbrt.f64 (pow.f64 (sinh.f64 y) 3))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-prod_binary64_4238`
45×	`times-frac_binary64_4213`
42×	`add-sqr-sqrt_binary64_4229` `*-un-lft-identity_binary64_4207` `add-cube-cbrt_binary64_4242`
18×	`cube-prod_binary64_4235` `unpow-prod-down_binary64_4286`
15×	`associate-/l*_binary64_4152`
7×	`add-exp-log_binary64_4245`
6×	`sqr-pow_binary64_4179` `add-cbrt-cube_binary64_4243` `unpow3_binary64_4273` `cube-mult_binary64_4237`
5×	`pow1_binary64_4268`
4×	`sinh-def_binary64_4392` `add-log-exp_binary64_4246`
3×	`pow-unpow_binary64_4284` `associate-/r*_binary64_4151` `cube-div_binary64_4236`
2×	`cbrt-div_binary64_4239`
1×	`cbrt-undiv_binary64_4241` `rem-cbrt-cube_binary64_4231` `associate-/l/_binary64_4154` `div-exp_binary64_4258` `div-inv_binary64_4204` `pow-to-exp_binary64_4276` `pow-pow_binary64_4279` `clear-num_binary64_4206` `pow1/3_binary64_4289` `rem-cube-cbrt_binary64_4230` `pow-exp_binary64_4275` `frac-2neg_binary64_4218`

Counts

4 → 130

Calls

4 calls:

7.0ms	(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y)
3.0ms	(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
3.0ms	(pow.f64 (sinh.f64 y) 3)
1.0ms	(sinh.f64 y)

series437.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(pow.f64 (sinh.f64 y) 3)
124.0ms	(/.f64 (cbrt.f64 (pow.f64 (sinh.f64 y) 3)) y)
80.0ms	(cbrt.f64 (pow.f64 (sinh.f64 y) 3))
70.0ms	(sinh.f64 y)

simplify72.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5166	1766

prune100.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Merged error: 0b

Counts

145 → 3

Compiler

Compiled 2030 to 801 computations (60.5% saved)

regimes220.0ms (3.8%)

Compiler: Compiled 152 to 126 computations (17.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample1.9s (33.4%)

Algorithm

1×

intervals

Results

485.0ms	2022×	body	1024	valid
449.0ms	1978×	body	1024	invalid
202.0ms	4528×	body	128	valid
145.0ms	960×	body	512	valid
142.0ms	991×	body	512	invalid
49.0ms	466×	body	256	invalid
47.0ms	690×	body	128	invalid
45.0ms	485×	body	256	valid
3.0ms	5×	body	2048	valid

Compiler

Compiled 52 to 44 computations (15.4% saved)

Details

analyze333.0ms (5.8%)

sample54.0ms (0.9%)

simplify269.0ms (4.7%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite18.0ms (0.3%)

series392.0ms (6.8%)

simplify60.0ms (1%)

prune80.0ms (1.4%)

localize8.0ms (0.1%)

rewrite29.0ms (0.5%)

series814.0ms (14.1%)

simplify78.0ms (1.4%)

prune74.0ms (1.3%)

localize9.0ms (0.2%)

rewrite29.0ms (0.5%)

series557.0ms (9.6%)

simplify69.0ms (1.2%)

prune99.0ms (1.7%)

localize9.0ms (0.2%)

rewrite25.0ms (0.4%)

series437.0ms (7.6%)

simplify72.0ms (1.2%)

prune100.0ms (1.7%)

regimes220.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (33.4%)

Profiling