Details

analyze351.0ms (8.7%)

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
25%	68.7%	6.3%	6
43.7%	46.8%	9.5%	7
43.7%	42.1%	14.1%	8
46.8%	36.7%	16.5%	9
46.8%	34%	19.2%	10
48.4%	31%	20.6%	11
48.4%	29.6%	22%	12
49.2%	28%	22.8%	13
49.2%	27.3%	23.5%	14

sample77.0ms (1.9%)

Algorithm

1×

intervals

Results

15.0ms	51×	body	1280	invalid
14.0ms	39×	body	1280	valid
12.0ms	40×	body	640	valid
7.0ms	37×	body	640	invalid
7.0ms	140×	body	80	valid
3.0ms	24×	body	320	valid
3.0ms	19×	body	320	invalid
1.0ms	13×	body	160	valid
1.0ms	20×	body	80	invalid
1.0ms	11×	body	160	invalid

simplify83.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4988	7
1	4988	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: 0.1b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
0.1b	(/.f64 (sin.f64 y) y)

rewrite14.0ms (0.3%)

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-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `cosh-def_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 (cosh.f64 x) (/.f64 (sin.f64 y) y))
4.0ms	(/.f64 (sin.f64 y) y)

series26.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

21.0ms	(*.f64 (cosh.f64 x) (/.f64 (sin.f64 y) y))
5.0ms	(/.f64 (sin.f64 y) y)

simplify60.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5777	568

prune88.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	60	7	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b	(/.f64 y (sin.f64 y))
0.1b	(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite38.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
103×	`add-sqr-sqrt_binary64`
91×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
44×	`associate-r_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `cosh-def_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 178

Calls

3 calls:

19.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms	(/.f64 y (sin.f64 y))

series34.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(*.f64 (cosh.f64 x) (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms	(/.f64 y (sin.f64 y))
5.0ms	(/.f64 1 (/.f64 y (sin.f64 y)))

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4952	1761
1	4952	1761

prune190.0ms (4.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	186	8	194

Merged error: 0.0b

Counts

194 → 8

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (cosh.f64 x) y)
0.2b	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))

rewrite13.0ms (0.3%)

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` `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` `clear-num_binary64` `frac-2neg_binary64` `cosh-def_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 60

Calls

2 calls:

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

series35.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

20.0ms	(*.f64 (/.f64 (cosh.f64 x) y) (sin.f64 y))
14.0ms	(/.f64 (cosh.f64 x) y)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4974	559
1	4974	559

prune77.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	66	8	74

Merged error: 0.0b

Counts

74 → 8

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
0.1b	(/.f64 1 (sin.f64 y))
0.1b	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
0.2b	(*.f64 y (/.f64 1 (sin.f64 y)))

rewrite39.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

104×	`add-exp-log_binary64`
44×	`prod-exp_binary64`
36×	`div-exp_binary64`
34×	`add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `times-frac_binary64`
25×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
18×	`1-exp_binary64` `rec-exp_binary64`
12×	`pow1_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
6×	`associate-l_binary64` `associate-/l*_binary64`
4×	`associate-/r_binary64` `add-log-exp_binary64` `associate-r/_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `un-div-inv_binary64` `div-inv_binary64`
3×	`pow-prod-down_binary64` `pow-flip_binary64`
2×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `cosh-def_binary64` `*-commutative_binary64`
1×	`frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 153

Calls

4 calls:

13.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
8.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
8.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
4.0ms	(/.f64 1 (sin.f64 y))

series42.0ms (1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(.f64 (cosh.f64 x) (/.f64 1 (.f64 y (/.f64 1 (sin.f64 y)))))
8.0ms	(*.f64 y (/.f64 1 (sin.f64 y)))
5.0ms	(/.f64 1 (*.f64 y (/.f64 1 (sin.f64 y))))
5.0ms	(/.f64 1 (sin.f64 y))

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4936	1056
1	4936	1056

prune149.0ms (3.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	165	8	173

Merged error: 0.0b

Counts

173 → 8

regimes211.0ms (5.2%)

Accuracy

Total 0.3b remaining (88.1%)

Threshold costs 0.3b (88.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.3s (56.4%)

Algorithm

1×

intervals

Results

540.0ms	1483×	body	1280	valid
446.0ms	1433×	body	1280	invalid
258.0ms	1215×	body	640	valid
241.0ms	1174×	body	640	invalid
226.0ms	4365×	body	80	valid
96.0ms	621×	body	320	invalid
95.0ms	634×	body	320	valid
34.0ms	302×	body	160	invalid
30.0ms	303×	body	160	valid
30.0ms	512×	body	80	invalid

Details

analyze351.0ms (8.7%)

sample77.0ms (1.9%)

simplify83.0ms (2.1%)

prune5.0ms (0.1%)

localize6.0ms (0.2%)

rewrite14.0ms (0.3%)

series26.0ms (0.7%)

simplify60.0ms (1.5%)

prune88.0ms (2.2%)

localize7.0ms (0.2%)

rewrite38.0ms (1%)

series34.0ms (0.8%)

simplify72.0ms (1.8%)

prune190.0ms (4.7%)

localize6.0ms (0.2%)

rewrite13.0ms (0.3%)

series35.0ms (0.9%)

simplify52.0ms (1.3%)

prune77.0ms (1.9%)

localize9.0ms (0.2%)

rewrite39.0ms (1%)

series42.0ms (1%)

simplify67.0ms (1.7%)

prune149.0ms (3.7%)

regimes211.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (56.4%)

Profiling