Details

analyze351.0ms (10.4%)

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
25%	74.9%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	46.8%	9.5%	7
46.8%	42.1%	11%	8
46.8%	36.7%	16.5%	9
48.4%	34%	17.7%	10
48.4%	31%	20.6%	11
49.2%	29.6%	21.3%	12
49.2%	28%	22.8%	13
49.6%	27.3%	23.1%	14

sample60.0ms (1.8%)

Algorithm

1×

intervals

Results

16.0ms	55×	body	1280	invalid
9.0ms	193×	body	80	valid
7.0ms	36×	body	640	invalid
4.0ms	22×	body	640	valid
4.0ms	12×	body	1280	valid
3.0ms	18×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	23×	body	80	invalid
1.0ms	13×	body	160	invalid
1.0ms	13×	body	160	valid

simplify45.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4970	7
1	4970	7

prune5.0ms (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

Merged error: 15.5b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.5b	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`add-log-exp_binary64` `sinh-def_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `prod-exp_binary64` `div-exp_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

2 → 41

Calls

2 calls:

8.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))
6.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)

series42.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

23.0ms	(/.f64 (*.f64 (sin.f64 x) (sinh.f64 y)) x)
19.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify40.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4935	358
1	4935	358

prune69.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	7	48

Merged error: 0b

Counts

48 → 7

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (sinh.f64 y))
0.9b	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

87×	`times-frac_binary64`
53×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`sinh-def_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 102

Calls

2 calls:

7.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))
5.0ms	(/.f64 x (sinh.f64 y))

series48.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(/.f64 x (sinh.f64 y))
23.0ms	(/.f64 (sin.f64 x) (/.f64 x (sinh.f64 y)))

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4939	1310
1	4939	1310

prune104.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
0.1b	(/.f64 (sin.f64 x) x)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `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-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 61

Calls

2 calls:

7.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
4.0ms	(/.f64 (sin.f64 x) x)

series30.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(*.f64 (/.f64 (sin.f64 x) x) (sinh.f64 y))
5.0ms	(/.f64 (sin.f64 x) x)

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4947	561
1	4947	561

prune70.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	67	7	74

Merged error: 0b

Counts

74 → 7

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sin.f64 x) (sinh.f64 y))
15.5b	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-exp-log_binary64`
16×	`associate-r_binary64` `add-cbrt-cube_binary64`
13×	`prod-exp_binary64` `add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `times-frac_binary64`
7×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `associate-r/_binary64` `associate-l*_binary64` `div-exp_binary64`
3×	`sinh-def_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `un-div-inv_binary64` `div-inv_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

2 → 59

Calls

2 calls:

10.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
5.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

series44.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 (.f64 (sin.f64 x) (sinh.f64 y)) (/.f64 1 x))
19.0ms	(*.f64 (sin.f64 x) (sinh.f64 y))

simplify36.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5227	541

prune59.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	65	7	72

Merged error: 0b

Counts

72 → 7

regimes183.0ms (5.4%)

Accuracy

Total 0.1b remaining (77.4%)

Threshold costs 0.1b (77.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.0s (59.2%)

Algorithm

1×

intervals

Results

455.0ms	1461×	body	1280	invalid
287.0ms	6094×	body	80	valid
246.0ms	585×	body	80	invalid
244.0ms	1189×	body	640	invalid
160.0ms	747×	body	640	valid
132.0ms	362×	body	1280	valid
85.0ms	601×	body	320	invalid
70.0ms	493×	body	320	valid
30.0ms	303×	body	160	invalid
30.0ms	304×	body	160	valid

Details

analyze351.0ms (10.4%)

sample60.0ms (1.8%)

simplify45.0ms (1.3%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.4%)

series42.0ms (1.2%)

simplify40.0ms (1.2%)

prune69.0ms (2%)

localize6.0ms (0.2%)

rewrite17.0ms (0.5%)

series48.0ms (1.4%)

simplify55.0ms (1.6%)

prune104.0ms (3.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.4%)

series30.0ms (0.9%)

simplify53.0ms (1.6%)

prune70.0ms (2.1%)

localize7.0ms (0.2%)

rewrite17.0ms (0.5%)

series44.0ms (1.3%)

simplify36.0ms (1.1%)

prune59.0ms (1.7%)

regimes183.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (59.2%)

Profiling