Details

analyze214.0ms (13%)

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
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

sample14.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune6.0ms (0.3%)

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

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.2b	(* (* x 3.0) y)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* (* x 3.0) y)

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x 3.0) y)

simplify42.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4903	122
1	4903	122

prune42.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Merged error: 0.0b

Counts

22 → 5

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.2b	(* x (* 3.0 y))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* x (* 3.0 y))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* x (* 3.0 y))

simplify55.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5107	121

prune36.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize9.0ms (0.5%)

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)

rewrite13.0ms (0.8%)

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:

7.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series88.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify47.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5165	356

prune115.0ms (7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

localize14.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series85.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)
20.0ms	(cbrt x)

simplify43.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5270	200

prune82.0ms (5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	55	7	62

Merged error: 0.0b

Counts

62 → 7

regimes343.0ms (20.8%)

Accuracy

Total 0.1b remaining (80.2%)

Threshold costs 0.1b (80.2%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms (0%)

sample353.0ms (21.4%)

Algorithm

1×

intervals

Results

189.0ms	8000×	body	80	valid
7.0ms	311×	body	80	invalid

Details

analyze214.0ms (13%)

sample14.0ms (0.9%)

simplify10.0ms (0.6%)

prune6.0ms (0.3%)

localize8.0ms (0.5%)

rewrite5.0ms (0.3%)

series4.0ms (0.2%)

simplify42.0ms (2.6%)

prune42.0ms (2.5%)

localize8.0ms (0.5%)

rewrite5.0ms (0.3%)

series3.0ms (0.2%)

simplify55.0ms (3.3%)

prune36.0ms (2.2%)

localize9.0ms (0.5%)

rewrite13.0ms (0.8%)

series88.0ms (5.3%)

simplify47.0ms (2.9%)

prune115.0ms (7%)

localize14.0ms (0.8%)

rewrite5.0ms (0.3%)

series85.0ms (5.2%)

simplify43.0ms (2.6%)

prune82.0ms (5%)

regimes343.0ms (20.8%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample353.0ms (21.4%)

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