Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

473×

body

valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	7
1	11	7
2	24	7
3	40	7
4	59	7
5	75	7
6	82	7
7	84	7
done	84	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

17.0ms

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

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

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

simplify2.2s

Counts

43 → 43

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	62	516
1	185	453
2	730	407
3	3858	376
done	5001	376

prune58.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:

9.0ms	(* y (+ y (* 2 x)))
4.0ms	(+ (* y (+ y (* 2 x))) (* x x))

series56.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (+ y (* 2 x)))
22.0ms	(+ (* y (+ y (* 2 x))) (* x x))

simplify1.7s

Counts

41 → 41

Iterations

Useful iterations: 3 (510.0ms)

Iter	Nodes	Cost
0	71	527
1	219	489
2	740	445
3	3075	437
done	5001	437

prune87.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

7.0ms

(* x (+ x (* y 2)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* x (+ x (* y 2)))

simplify1.6s

Counts

25 → 25

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	47	253
1	143	240
2	424	214
3	1518	214
done	5000	214

prune41.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `distribute-rgt-out` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 12

Calls

1 calls:

3.0ms

(+ (* x x) (* (* y 2) x))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(+ (* x x) (* (* y 2) x))

simplify2.1s

Counts

15 → 15

Iterations

Useful iterations: 2 (243.0ms)

Iter	Nodes	Cost
0	33	213
1	109	178
2	426	148
3	1680	148
done	5000	148

prune27.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample412.0ms

Algorithm

intervals

Results

199.0ms

14258×

body

valid