Details

analyze349.0ms (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

sample57.0ms (1.7%)

Algorithm

1×

intervals

Results

11.0ms	37×	body	1280	invalid
9.0ms	188×	body	80	valid
8.0ms	39×	body	640	invalid
5.0ms	15×	body	1280	valid
4.0ms	21×	body	640	valid
3.0ms	18×	body	320	invalid
2.0ms	18×	body	320	valid
1.0ms	14×	body	160	valid
1.0ms	21×	body	80	invalid
1.0ms	7×	body	160	invalid

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4970	7
1	4970	7

prune13.0ms (0.4%)

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 → 2

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite13.0ms (0.4%)

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` `sinh-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 x) (/ (sinh y) x))
3.0ms	(/ (sinh y) x)
1.0ms	(sinh y)

series42.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (sin x) (/ (sinh y) x))
14.0ms	(/ (sinh y) x)
8.0ms	(sinh y)

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4929	627
1	4929	627

prune106.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 0b

Counts

79 → 7

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (* (sinh y) (/ 1 x)))
0.2b	(* (sinh y) (/ 1 x))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log`
19×	`add-sqr-sqrt`
17×	`add-cbrt-cube`
14×	`associate-r`
13×	`*-un-lft-identity` `prod-exp`
12×	`add-cube-cbrt`
11×	`times-frac`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-r/` `associate-l*`
5×	`sinh-def`
4×	`div-exp` `pow-prod-down`
3×	`add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-l/` `un-div-inv` `-commutative`
1×	`div-inv`

Counts

3 → 72

Calls

3 calls:

8.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
7.0ms	(* (sinh y) (/ 1 x))
1.0ms	(sinh y)

series43.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(* (sin x) (* (sinh y) (/ 1 x)))
16.0ms	(* (sinh y) (/ 1 x))
8.0ms	(sinh y)

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4971	545
1	4971	545

prune106.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	81	7	88

Merged error: 0b

Counts

88 → 7

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite13.0ms (0.4%)

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×	`sinh-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:

7.0ms	(* (sinh y) (/ (sin x) x))
4.0ms	(/ (sin x) x)
1.0ms	(sinh y)

series29.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(* (sinh y) (/ (sin x) x))
8.0ms	(sinh y)
4.0ms	(/ (sin x) x)

simplify42.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4952	629
1	4952	629

prune87.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

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

Merged error: 0b

Counts

85 → 7

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series89.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
23.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune90.0ms (2.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes204.0ms (6.1%)

Accuracy

Total 0.1b remaining (69.9%)

Threshold costs 0.1b (69.9%)

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%)

sample1.8s (54.6%)

Algorithm

1×

intervals

Results

465.0ms	1547×	body	1280	invalid
289.0ms	6103×	body	80	valid
256.0ms	1279×	body	640	invalid
167.0ms	778×	body	640	valid
137.0ms	359×	body	1280	valid
92.0ms	628×	body	320	invalid
70.0ms	491×	body	320	valid
34.0ms	590×	body	80	invalid
29.0ms	294×	body	160	invalid
26.0ms	269×	body	160	valid

Details

analyze349.0ms (10.4%)

sample57.0ms (1.7%)

simplify39.0ms (1.1%)

prune13.0ms (0.4%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series42.0ms (1.2%)

simplify55.0ms (1.6%)

prune106.0ms (3.1%)

localize8.0ms (0.2%)

rewrite19.0ms (0.6%)

series43.0ms (1.3%)

simplify44.0ms (1.3%)

prune106.0ms (3.1%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series29.0ms (0.9%)

simplify42.0ms (1.3%)

prune87.0ms (2.6%)

localize11.0ms (0.3%)

rewrite11.0ms (0.3%)

series89.0ms (2.7%)

simplify44.0ms (1.3%)

prune90.0ms (2.7%)

regimes204.0ms (6.1%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample1.8s (54.6%)

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