Details

analyze341.0ms (10.1%)

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)

sample61.0ms (1.8%)

Algorithm

1×

intervals

Results

15.0ms	43×	body	1280	valid
11.0ms	40×	body	1280	invalid
7.0ms	37×	body	640	valid
6.0ms	36×	body	640	invalid
6.0ms	146×	body	80	valid
3.0ms	22×	body	320	invalid
2.0ms	15×	body	320	valid
1.0ms	15×	body	160	valid
1.0ms	10×	body	160	invalid
1.0ms	13×	body	80	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4911	11
1	4911	11

prune7.0ms (0.2%)

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)

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

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)

series40.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(*.f64 (cos.f64 x) (/.f64 (sinh.f64 y) y))
13.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(sinh.f64 y)

simplify96.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4930	1002
1	4930	1002

prune37.0ms (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: 0b

Counts

78 → 2

Compiler

Compiled 996 to 270 computations (72.9% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64`
47×	`times-frac_binary64`
44×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
38×	`cbrt-prod_binary64`
35×	`associate-r_binary64`
28×	`unpow-prod-down_binary64` `cube-prod_binary64`
11×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `unswap-sqr_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `sqr-pow_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`sinh-def_binary64` `cbrt-undiv_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `pow-pow_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

15.0ms	(*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
5.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
4.0ms	(/.f64 (sinh.f64 y) y)
1.0ms	(sinh.f64 y)

series60.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cos.f64 x) (cbrt.f64 (pow.f64 (/.f64 (sinh.f64 y) y) 3)))
19.0ms	(pow.f64 (/.f64 (sinh.f64 y) y) 3)
11.0ms	(/.f64 (sinh.f64 y) y)
7.0ms	(sinh.f64 y)

simplify87.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5311	2099

prune77.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	151	2	153

Merged error: 0b

Counts

153 → 2

Compiler

Compiled 2363 to 920 computations (61.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 y)
0.1b	(*.f64 (sinh.f64 y) (cos.f64 x))
0.2b	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`pow1_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `sinh-def_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

7.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
5.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
2.0ms	(sinh.f64 y)

series39.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(/.f64 (*.f64 (sinh.f64 y) (cos.f64 x)) y)
15.0ms	(*.f64 (sinh.f64 y) (cos.f64 x))
7.0ms	(sinh.f64 y)

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5811	710

prune26.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0b

Counts

60 → 2

Compiler

Compiled 671 to 201 computations (70% saved)

regimes74.0ms (2.2%)

Compiler: Compiled 84 to 82 computations (2.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample2.2s (65.6%)

Algorithm

1×

intervals

Results

481.0ms	1547×	body	1280	valid
423.0ms	1507×	body	1280	invalid
228.0ms	1271×	body	640	valid
224.0ms	1274×	body	640	invalid
175.0ms	4216×	body	80	valid
81.0ms	653×	body	320	invalid
79.0ms	629×	body	320	valid
31.0ms	337×	body	160	valid
29.0ms	328×	body	160	invalid
28.0ms	493×	body	80	invalid

Compiler

Compiled 35 to 33 computations (5.7% saved)

Details

analyze341.0ms (10.1%)

sample61.0ms (1.8%)

simplify66.0ms (2%)

prune7.0ms (0.2%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series40.0ms (1.2%)

simplify96.0ms (2.8%)

prune37.0ms (1.1%)

localize9.0ms (0.3%)

rewrite31.0ms (0.9%)

series60.0ms (1.8%)

simplify87.0ms (2.6%)

prune77.0ms (2.3%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series39.0ms (1.2%)

simplify63.0ms (1.9%)

prune26.0ms (0.8%)

regimes74.0ms (2.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.2s (65.6%)

Profiling