Details

analyze66.0ms (5.9%)

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
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

sample19.0ms (1.7%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	10×	body	80	invalid

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	7
1	38	7

prune7.0ms (0.7%)

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

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (+ (* x x) (* x y)))
0.0b	(+ (* x x) (* x y))

rewrite11.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

6.0ms	(* 2.0 (+ (* x x) (* x y)))
4.0ms	(+ (* x x) (* x y))

series11.0ms (1%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(* 2.0 (+ (* x x) (* x y)))
5.0ms	(+ (* x x) (* x y))

simplify71.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4954	335
1	4954	335

prune56.0ms (5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b	(* (* x 2.0) (+ x y))

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`-un-lft-identity` `associate-r*`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 23

Calls

1 calls:

7.0ms

(* (* x 2.0) (+ x y))

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* x 2.0) (+ x y))

simplify64.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4971	209
1	4971	209

prune35.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0b

Counts

29 → 3

localize7.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(* x (+ x y))
0.1b	(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
5.9b	(sqrt (* x (+ x y)))
5.9b	(sqrt (* x (+ x y)))

rewrite32.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
20×	`associate-*r/`
16×	`sqrt-div`
14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`flip3-+` `flip-+`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
7×	`associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`frac-times` `swap-sqr` `add-log-exp`
2×	`associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

13.0ms	(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
6.0ms	(* x (+ x y))
5.0ms	(sqrt (* x (+ x y)))
5.0ms	(sqrt (* x (+ x y)))

series28.0ms (2.5%)

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (* x (+ x y)))
8.0ms	(sqrt (* x (+ x y)))
4.0ms	(* (sqrt (* x (+ x y))) (sqrt (* x (+ x y))))
4.0ms	(* x (+ x y))

simplify60.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4932	838
1	4932	838

prune136.0ms (12.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Merged error: 0b

Counts

121 → 3

regimes141.0ms (12.7%)

Accuracy

Total 0.0b remaining (84.7%)

Threshold costs 0.0b (84.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms (0%)

sample343.0ms (30.8%)

Algorithm

1×

intervals

Results

214.0ms	8000×	body	80	valid
4.0ms	169×	body	80	invalid

Details

analyze66.0ms (5.9%)

sample19.0ms (1.7%)

simplify4.0ms (0.3%)

prune7.0ms (0.7%)

localize6.0ms (0.5%)

rewrite11.0ms (1%)

series11.0ms (1%)

simplify71.0ms (6.4%)

prune56.0ms (5%)

localize5.0ms (0.4%)

rewrite8.0ms (0.7%)

series6.0ms (0.5%)

simplify64.0ms (5.7%)

prune35.0ms (3.1%)

localize7.0ms (0.6%)

rewrite32.0ms (2.9%)

series28.0ms (2.5%)

simplify60.0ms (5.4%)

prune136.0ms (12.2%)

regimes141.0ms (12.7%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample343.0ms (30.8%)

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