Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

452×

body

valid

simplify81.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	25	7
3	53	7
4	72	7
5	88	7
6	97	7
7	103	7
done	103	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

36.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify2.2s

Counts

43 → 43

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	62	516
1	187	453
2	742	407
3	3329	376
done	5000	373

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y (+ (* 2 x) y)) (* x x))
0.0b	(* y (+ (* 2 x) y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

17.0ms	(+ (* y (+ (* 2 x) y)) (* x x))
31.0ms	(* y (+ (* 2 x) y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (* y (+ (* 2 x) y)) (* x x))
43.0ms	(* y (+ (* 2 x) y))

simplify2.4s

Counts

41 → 41

Iterations

Useful iterations: 3 (901.0ms)

Iter	Nodes	Cost
0	70	523
1	216	485
2	736	445
3	3389	437
done	5000	437

prune103.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* y (* 2 x)) (* y y)) (* x x))
0.0b	(+ (* y (* 2 x)) (* y y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

95.0ms	(+ (+ (* y (* 2 x)) (* y y)) (* x x))
25.0ms	(+ (* y (* 2 x)) (* y y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (+ (* y (* 2 x)) (* y y)) (* x x))
53.0ms	(+ (* y (* 2 x)) (* y y))

simplify2.4s

Counts

31 → 31

Iterations

Useful iterations: 3 (967.0ms)

Iter	Nodes	Cost
0	57	528
1	186	424
2	770	384
3	3467	376
done	5001	376

prune79.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
done	13	13

end0.0ms

sample673.0ms

Algorithm

intervals

Results

348.0ms

14173×

body

valid