Details

analyze69.0ms (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

sample14.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify16.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	380	7
1	380	7

prune6.0ms (0.5%)

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: 0.0b

Counts

2 → 1

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

rewrite10.0ms (0.9%)

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×	`sub-neg` `associate-l`
2×	`flip3--` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `pow-prod-down` `prod-exp` `*-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))

simplify45.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4939	341
1	4939	341

prune54.0ms (4.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Merged error: 0b

Counts

42 → 3

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

7.0ms

(* (* 2.0 x) (- x y))

series6.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* 2.0 x) (- x y))

simplify46.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5107	220

prune34.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Merged error: 0b

Counts

30 → 3

localize9.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (- x y))) (cbrt (* x (- x y))))
7.9b	(cbrt (* x (- x y)))
7.9b	(cbrt (* x (- x y)))
7.9b	(cbrt (* x (- x y)))

rewrite22.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* x (- x y))) (cbrt (* x (- x y))))
4.0ms	(cbrt (* x (- x y)))
4.0ms	(cbrt (* x (- x y)))
4.0ms	(cbrt (* x (- x y)))

series179.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (cbrt (* x (- x y))) (cbrt (* x (- x y))))
44.0ms	(cbrt (* x (- x y)))
43.0ms	(cbrt (* x (- x y)))
41.0ms	(cbrt (* x (- x y)))

simplify61.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4841	782
1	4841	782

prune97.0ms (8.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	84	3	87

Merged error: 0b

Counts

87 → 3

regimes133.0ms (11.3%)

Accuracy

Total 0.0b remaining (84.4%)

Threshold costs 0.0b (84.4%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	9
1	35	9

end0.0ms (0%)

sample340.0ms (29%)

Algorithm

1×

intervals

Results

212.0ms	8000×	body	80	valid
3.0ms	131×	body	80	invalid

Details

analyze69.0ms (5.9%)

sample14.0ms (1.2%)

simplify16.0ms (1.4%)

prune6.0ms (0.5%)

localize6.0ms (0.5%)

rewrite10.0ms (0.9%)

series11.0ms (1%)

simplify45.0ms (3.8%)

prune54.0ms (4.6%)

localize5.0ms (0.4%)

rewrite8.0ms (0.7%)

series6.0ms (0.5%)

simplify46.0ms (3.9%)

prune34.0ms (2.9%)

localize9.0ms (0.7%)

rewrite22.0ms (1.8%)

series179.0ms (15.3%)

simplify61.0ms (5.2%)

prune97.0ms (8.3%)

regimes133.0ms (11.3%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample340.0ms (29%)

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