Details

analyze59.0ms (3.6%)

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
37.5%	50%	12.6%	6
50%	37.5%	12.6%	7
56.2%	25%	18.8%	8
62.4%	18.7%	18.8%	9
65.6%	12.5%	22%	10
68.7%	9.4%	22%	11
70.2%	6.2%	23.5%	12
71.8%	4.7%	23.5%	13
72.6%	3.1%	24.3%	14

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

prune8.0ms (0.5%)

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

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(* x (* x (* 3.0 y)))
0.2b	(* x (* 3.0 y))

rewrite12.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* x (* x (* 3.0 y)))
5.0ms	(* x (* 3.0 y))

series8.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

4.0ms	(* x (* x (* 3.0 y)))
4.0ms	(* x (* 3.0 y))

simplify41.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5102	305

prune116.0ms (7.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	8	47

Merged error: 0.0b

Counts

47 → 8

localize8.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b	(* x (* (* x 3.0) y))
0.2b	(* (* x 3.0) y)

rewrite20.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

10.0ms	(* x (* (* x 3.0) y))
8.0ms	(* (* x 3.0) y)

series13.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(* x (* (* x 3.0) y))
6.0ms	(* (* x 3.0) y)

simplify48.0ms (3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5517	308

prune135.0ms (8.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	44	9	53

Merged error: 0.0b

Counts

53 → 9

localize15.0ms (0.9%)

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)

rewrite18.0ms (1.1%)

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:

9.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series153.0ms (9.3%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (cbrt x) (cbrt x))
39.0ms	(cbrt x)
36.0ms	(cbrt x)
36.0ms	(cbrt x)

simplify57.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5165	356

prune124.0ms (7.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms (0.7%)

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series89.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

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

simplify46.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5165	356

prune98.0ms (6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

regimes208.0ms (12.7%)

Accuracy

Total 0.2b remaining (87.5%)

Threshold costs 0.2b (87.5%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample321.0ms (19.6%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	80	valid
2.0ms	91×	body	80	invalid

Details

analyze59.0ms (3.6%)

sample13.0ms (0.8%)

simplify3.0ms (0.2%)

prune8.0ms (0.5%)

localize5.0ms (0.3%)

rewrite12.0ms (0.7%)

series8.0ms (0.5%)

simplify41.0ms (2.5%)

prune116.0ms (7.1%)

localize8.0ms (0.5%)

rewrite20.0ms (1.2%)

series13.0ms (0.8%)

simplify48.0ms (3%)

prune135.0ms (8.3%)

localize15.0ms (0.9%)

rewrite18.0ms (1.1%)

series153.0ms (9.3%)

simplify57.0ms (3.5%)

prune124.0ms (7.6%)

localize9.0ms (0.6%)

rewrite11.0ms (0.7%)

series89.0ms (5.4%)

simplify46.0ms (2.8%)

prune98.0ms (6%)

regimes208.0ms (12.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample321.0ms (19.6%)

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