Details

analyze3.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

sample10.0ms (0.9%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

valid

simplify14.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	308	7
1	308	7

prune4.0ms (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

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.1b	(/ (- (* x x) 3.0) 6.0)

rewrite7.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`times-frac`
10×	`add-cube-cbrt` `*-un-lft-identity`
4×	`associate-/l*` `difference-of-squares`
3×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
2×	`associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `clear-num` `flip--` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (- (* x x) 3.0) 6.0)

simplify43.0ms (4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4958	405
1	4958	405

prune71.0ms (6.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize6.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.2b	(* x (* x 0.16666666666666666))

rewrite5.0ms (0.5%)

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 (* x 0.16666666666666666))

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* x (* x 0.16666666666666666))

simplify48.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5077	120

prune37.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0b

Counts

26 → 5

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b	(/ 6.0 (- (* x x) 3.0))
0.1b	(/ 1 (/ 6.0 (- (* x x) 3.0)))

rewrite23.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac`
78×	`add-sqr-sqrt`
62×	`add-cube-cbrt` `*-un-lft-identity`
22×	`associate-/r*`
16×	`difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

2 → 129

Calls

2 calls:

11.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
6.0ms	(/ 6.0 (- (* x x) 3.0))

series10.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ 1 (/ 6.0 (- (* x x) 3.0)))
4.0ms	(/ 6.0 (- (* x x) 3.0))

simplify58.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5439	1849

prune229.0ms (21.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	135	5	140

Merged error: 0b

Counts

140 → 5

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(* (* x x) 0.16666666666666666)

rewrite6.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

5.0ms

(* (* x x) 0.16666666666666666)

series3.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (* x x) 0.16666666666666666)

simplify42.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5269	130

prune31.0ms (2.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	22	5	27

Merged error: 0b

Counts

27 → 5

regimes142.0ms (13.3%)

Accuracy

Total 0.1b remaining (84.3%)

Threshold costs 0.1b (84.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms (0%)

sample255.0ms (23.8%)

Algorithm

1×

intervals

Results

171.0ms

8000×

body

valid

Details

analyze3.0ms (0.3%)

sample10.0ms (0.9%)

simplify14.0ms (1.3%)

prune4.0ms (0.3%)

localize4.0ms (0.4%)

rewrite7.0ms (0.6%)

series6.0ms (0.5%)

simplify43.0ms (4%)

prune71.0ms (6.7%)

localize6.0ms (0.6%)

rewrite5.0ms (0.5%)

series3.0ms (0.3%)

simplify48.0ms (4.5%)

prune37.0ms (3.4%)

localize5.0ms (0.5%)

rewrite23.0ms (2.1%)

series10.0ms (0.9%)

simplify58.0ms (5.4%)

prune229.0ms (21.5%)

localize4.0ms (0.4%)

rewrite6.0ms (0.6%)

series3.0ms (0.3%)

simplify42.0ms (3.9%)

prune31.0ms (2.9%)

regimes142.0ms (13.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample255.0ms (23.8%)

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