Details

analyze358.0ms (8.8%)

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
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

sample74.0ms (1.8%)

Algorithm

1×

intervals

Results

18.0ms	53×	body	1280	valid
14.0ms	46×	body	1280	invalid
8.0ms	37×	body	640	valid
7.0ms	141×	body	80	valid
7.0ms	32×	body	640	invalid
4.0ms	24×	body	320	invalid
2.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid
1.0ms	7×	body	160	invalid
0.0ms	7×	body	80	invalid

simplify68.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4988	7
1	4988	7

prune9.0ms (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: 0.1b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`cosh-def` `associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

3 → 69

Calls

3 calls:

6.0ms	(* (cosh x) (/ (sin y) y))
4.0ms	(/ (sin y) y)
1.0ms	(cosh x)

series27.0ms (0.7%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (cosh x) (/ (sin y) y))
6.0ms	(cosh x)
4.0ms	(/ (sin y) y)

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4945	629
1	4945	629

prune118.0ms (2.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	69	9	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`cosh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

6.0ms	(* (sin y) (cosh x))
5.0ms	(/ (* (sin y) (cosh x)) y)
1.0ms	(cosh x)

series41.0ms (1%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* (sin y) (cosh x)) y)
16.0ms	(* (sin y) (cosh x))
6.0ms	(cosh x)

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4959	417
1	4959	417

prune82.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.0b	(/ (cosh x) y)
0.5b	(* (sin y) (/ (cosh x) y))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `cosh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 68

Calls

3 calls:

7.0ms	(* (sin y) (/ (cosh x) y))
3.0ms	(/ (cosh x) y)
1.0ms	(cosh x)

series37.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (sin y) (/ (cosh x) y))
12.0ms	(/ (cosh x) y)
6.0ms	(cosh x)

simplify46.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4971	627
1	4971	627

prune92.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	76	1	77
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))
0.3b	(cbrt (/ (sin y) y))

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr` `associate-r` `associate-l`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

12.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))
2.0ms	(cbrt (/ (sin y) y))

series101.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (/ (sin y) y)) (cbrt (/ (sin y) y)))
25.0ms	(cbrt (/ (sin y) y))
23.0ms	(cbrt (/ (sin y) y))
23.0ms	(cbrt (/ (sin y) y))

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4903	1647
1	4903	1647

prune180.0ms (4.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	155	8	163

Merged error: 0b

Counts

163 → 8

regimes243.0ms (6%)

Accuracy

Total 0.1b remaining (65.1%)

Threshold costs 0.1b (65.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample2.3s (57.2%)

Algorithm

1×

intervals

Results

578.0ms	1595×	body	1280	valid
462.0ms	1513×	body	1280	invalid
271.0ms	1278×	body	640	valid
251.0ms	1192×	body	640	invalid
218.0ms	4228×	body	80	valid
96.0ms	642×	body	320	invalid
84.0ms	587×	body	320	valid
33.0ms	325×	body	160	invalid
31.0ms	312×	body	160	valid
27.0ms	480×	body	80	invalid

Details

analyze358.0ms (8.8%)

sample74.0ms (1.8%)

simplify68.0ms (1.7%)

prune9.0ms (0.2%)

localize7.0ms (0.2%)

rewrite13.0ms (0.3%)

series27.0ms (0.7%)

simplify50.0ms (1.2%)

prune118.0ms (2.9%)

localize7.0ms (0.2%)

rewrite13.0ms (0.3%)

series41.0ms (1%)

simplify46.0ms (1.1%)

prune82.0ms (2%)

localize9.0ms (0.2%)

rewrite13.0ms (0.3%)

series37.0ms (0.9%)

simplify46.0ms (1.1%)

prune92.0ms (2.3%)

localize11.0ms (0.3%)

rewrite26.0ms (0.6%)

series101.0ms (2.5%)

simplify66.0ms (1.6%)

prune180.0ms (4.4%)

regimes243.0ms (6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample2.3s (57.2%)

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