Details

analyze26.0ms (1.1%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

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: 14.7b

Counts

2 → 1

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

14.4b

(cbrt (/ g (* 2.0 a)))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
1×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

3.0ms

(cbrt (/ g (* 2.0 a)))

series18.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

18.0ms

(cbrt (/ g (* 2.0 a)))

simplify47.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4813	162
1	4813	162

prune68.0ms (3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	11	8	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	9	20

Merged error: 0.2b

Counts

20 → 9

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.4b	(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b	(cbrt (* 2.0 a))
0.6b	(cbrt g)

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod`
24×	`times-frac`
21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-/l*`
5×	`add-exp-log`
4×	`associate-/r*`
3×	`pow1` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 66

Calls

3 calls:

4.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))
2.0ms	(cbrt (* 2.0 a))
1.0ms	(cbrt g)

series66.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

24.0ms	(cbrt (* 2.0 a))
21.0ms	(cbrt g)
21.0ms	(/ (cbrt g) (cbrt (* 2.0 a)))

simplify75.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4835	689
1	4835	689

prune173.0ms (7.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	68	16	84

Merged error: 0.0b

Counts

84 → 16

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))
0.4b	(/ (cbrt (* 2.0 a)) (cbrt g))
0.6b	(cbrt (* 2.0 a))
0.6b	(cbrt g)

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`times-frac`
111×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
98×	`cbrt-prod`
34×	`associate-/r*`
17×	`add-exp-log`
8×	`div-exp`
7×	`add-cbrt-cube` `associate-/l*`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `pow1/3` `1-exp` `clear-num`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

4 → 202

Calls

4 calls:

8.0ms	(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))
5.0ms	(/ (cbrt (* 2.0 a)) (cbrt g))
2.0ms	(cbrt (* 2.0 a))
1.0ms	(cbrt g)

series90.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (* 2.0 a))
23.0ms	(/ (cbrt (* 2.0 a)) (cbrt g))
21.0ms	(cbrt g)
21.0ms	(/ 1 (/ (cbrt (* 2.0 a)) (cbrt g)))

simplify91.0ms (4%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4875	2467
1	4875	2467

prune393.0ms (17.1%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	210	4	214
Fresh	5	9	14
Picked	0	1	1
Done	0	1	1
Total	215	15	230

Merged error: 0.0b

Counts

230 → 15

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.4b	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b	(cbrt (/ 1 (* 2.0 a)))
0.6b	(cbrt g)

rewrite13.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod`
19×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-r`
6×	`times-frac` `associate-l`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `unswap-sqr`
3×	`add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `pow-prod-down` `div-inv`
1×	`associate-r/` `prod-exp` `-commutative` `cbrt-unprod`

Counts

3 → 60

Calls

3 calls:

7.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms	(cbrt (/ 1 (* 2.0 a)))
1.0ms	(cbrt g)

series65.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

25.0ms	(cbrt (/ 1 (* 2.0 a)))
21.0ms	(cbrt g)
19.0ms	(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))

simplify56.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4808	560
1	4808	560

prune104.0ms (4.5%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	2	10	12
Picked	0	1	1
Done	0	2	2
Total	67	17	84

Merged error: 0.0b

Counts

84 → 17

regimes522.0ms (22.7%)

Accuracy

Total 0.8b remaining (93.1%)

Threshold costs 0.8b (93.1%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

end0.0ms (0%)

sample394.0ms (17.2%)

Algorithm

1×

intervals

Results

240.0ms

8000×

body

valid

Details

analyze26.0ms (1.1%)

sample14.0ms (0.6%)

simplify3.0ms (0.1%)

prune6.0ms (0.3%)

localize5.0ms (0.2%)

rewrite4.0ms (0.2%)

series18.0ms (0.8%)

simplify47.0ms (2.1%)

prune68.0ms (3%)

localize6.0ms (0.3%)

rewrite9.0ms (0.4%)

series66.0ms (2.9%)

simplify75.0ms (3.3%)

prune173.0ms (7.5%)

localize9.0ms (0.4%)

rewrite27.0ms (1.2%)

series90.0ms (3.9%)

simplify91.0ms (4%)

prune393.0ms (17.1%)

localize8.0ms (0.3%)

rewrite13.0ms (0.6%)

series65.0ms (2.8%)

simplify56.0ms (2.4%)

prune104.0ms (4.5%)

regimes522.0ms (22.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample394.0ms (17.2%)

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