Details

analyze57.0ms (4.1%)

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%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

sample11.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms (0.4%)

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 y) y)

series7.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x y) y)

simplify40.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5162	121

prune42.0ms (3.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	15	6	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* y (* x y))) (cbrt (* y (* x y))))
20.6b	(cbrt (* y (* x y)))
20.6b	(cbrt (* y (* x y)))
20.6b	(cbrt (* y (* x y)))

rewrite17.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* y (* x y))) (cbrt (* y (* x y))))
4.0ms	(cbrt (* y (* x y)))
3.0ms	(cbrt (* y (* x y)))
3.0ms	(cbrt (* y (* x y)))

series80.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (* y (* x y))) (cbrt (* y (* x y))))
20.0ms	(cbrt (* y (* x y)))
18.0ms	(cbrt (* y (* x y)))
18.0ms	(cbrt (* y (* x y)))

simplify46.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5349	499

prune105.0ms (7.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

localize8.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms (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)

series93.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

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

simplify45.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune117.0ms (8.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

localize19.0ms (1.4%)

Local error

Found 4 expressions with local error:

20.6b	(cbrt (* y (* y x)))
20.6b	(cbrt (* y (* y x)))
20.6b	(cbrt (* y (* x y)))
20.6b	(cbrt (* y (* x y)))

rewrite15.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 36

Calls

4 calls:

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

series72.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt (* y (* x y)))
18.0ms	(cbrt (* y (* y x)))
18.0ms	(cbrt (* y (* y x)))
18.0ms	(cbrt (* y (* x y)))

simplify53.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5430	336

prune66.0ms (4.8%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	47	11	58

Merged error: 0b

Counts

58 → 11

regimes184.0ms (13.3%)

Accuracy

Total 0.1b remaining (78.9%)

Threshold costs 0.1b (78.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms (0%)

sample270.0ms (19.5%)

Algorithm

1×

intervals

Results

143.0ms	8000×	body	80	valid
6.0ms	186×	body	80	invalid

Details

analyze57.0ms (4.1%)

sample11.0ms (0.8%)

simplify3.0ms (0.2%)

prune4.0ms (0.3%)

localize3.0ms (0.2%)

rewrite5.0ms (0.4%)

series7.0ms (0.5%)

simplify40.0ms (2.9%)

prune42.0ms (3.1%)

localize8.0ms (0.6%)

rewrite17.0ms (1.2%)

series80.0ms (5.8%)

simplify46.0ms (3.3%)

prune105.0ms (7.6%)

localize8.0ms (0.6%)

rewrite10.0ms (0.7%)

series93.0ms (6.7%)

simplify45.0ms (3.2%)

prune117.0ms (8.4%)

localize19.0ms (1.4%)

rewrite15.0ms (1.1%)

series72.0ms (5.2%)

simplify53.0ms (3.8%)

prune66.0ms (4.8%)

regimes184.0ms (13.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample270.0ms (19.5%)

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