Details

sample20.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify116.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite69.0ms

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:

66.0ms

(* (+ a b) (+ a b))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(* (+ a b) (+ a b))

simplify2.3s

Counts

43 → 43

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	62	516
1	188	453
2	742	407
3	3324	376
done	5001	373

prune65.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* b (+ (* 2 a) b)) (* a a))
0.0b	(* b (+ (* 2 a) b))

rewrite88.0ms

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:

33.0ms	(+ (* b (+ (* 2 a) b)) (* a a))
54.0ms	(* b (+ (* 2 a) b))

series86.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* b (+ (* 2 a) b)) (* a a))
55.0ms	(* b (+ (* 2 a) b))

simplify2.6s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	70	523
1	217	485
2	738	445
3	3344	437
done	5001	437

prune104.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 2 a) b) (+ (* b b) (* a a)))
0.0b	(+ (* b b) (* a a))

rewrite47.0ms

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-+r+`

Counts

2 → 24

Calls

2 calls:

35.0ms	(+ (* (* 2 a) b) (+ (* b b) (* a a)))
12.0ms	(+ (* b b) (* a a))

series62.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ (* (* 2 a) b) (+ (* b b) (* a a)))
31.0ms	(+ (* b b) (* a a))

simplify2.7s

Counts

30 → 30

Iterations

Useful iterations: 3 (996.0ms)

Iter	Nodes	Cost
0	57	483
1	192	419
2	768	375
3	3429	373
done	5001	373

prune73.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample682.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
164.0ms	8000×	pre	80	true