Details

analyze222.0ms (13.3%)

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

sample15.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	7×	body	80	invalid

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune9.0ms (0.6%)

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: 0.0b

Counts

2 → 2

localize5.0ms (0.3%)

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:

5.0ms

(* (* x 3.0) y)

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x 3.0) y)

simplify42.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4903	122
1	4903	122

prune41.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	4	23

Merged error: 0.0b

Counts

23 → 4

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(* x (* 3.0 y))

rewrite6.0ms (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:

5.0ms

(* x (* 3.0 y))

series4.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(* x (* 3.0 y))

simplify52.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5107	121

prune39.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	5	25

Merged error: 0.0b

Counts

25 → 5

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)

rewrite12.0ms (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:

6.0ms	(* (cbrt y) (cbrt y))
2.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series91.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
24.0ms	(cbrt y)
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify48.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5165	356

prune108.0ms (6.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize10.0ms (0.6%)

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 (0.6%)

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)

series92.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt x) (cbrt x))
24.0ms	(cbrt x)
22.0ms	(cbrt x)
22.0ms	(cbrt x)

simplify51.0ms (3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5165	356

prune100.0ms (6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

regimes303.0ms (18.1%)

Accuracy

Total 0.1b remaining (84.9%)

Threshold costs 0.1b (84.9%)

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%)

sample381.0ms (22.8%)

Algorithm

1×

intervals

Results

198.0ms	8000×	body	80	valid
10.0ms	310×	body	80	invalid

Details

analyze222.0ms (13.3%)

sample15.0ms (0.9%)

simplify9.0ms (0.6%)

prune9.0ms (0.6%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series4.0ms (0.2%)

simplify42.0ms (2.5%)

prune41.0ms (2.4%)

localize5.0ms (0.3%)

rewrite6.0ms (0.3%)

series4.0ms (0.2%)

simplify52.0ms (3.1%)

prune39.0ms (2.3%)

localize9.0ms (0.6%)

rewrite12.0ms (0.7%)

series91.0ms (5.4%)

simplify48.0ms (2.9%)

prune108.0ms (6.4%)

localize10.0ms (0.6%)

rewrite11.0ms (0.6%)

series92.0ms (5.5%)

simplify51.0ms (3%)

prune100.0ms (6%)

regimes303.0ms (18.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample381.0ms (22.8%)

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