Details

sample30.0ms

Algorithm

intervals

Results

14.0ms

458×

body

valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	203
1	15	163
2	24	163
3	25	163
done	25	163

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

13.0ms	(+ (* y y) (* x (+ 2.0 x)))
39.0ms	(* x (+ 2.0 x))

series111.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* y y) (* x (+ 2.0 x)))
57.0ms	(* x (+ 2.0 x))

simplify1.2s

Counts

42 → 42

Iterations

Useful iterations: 2 (207.0ms)

Iter	Nodes	Cost
0	72	9563
1	222	7243
2	914	7163
done	5001	7163

prune240.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

44.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
12.0ms	(+ (* x 2.0) (* x x))

series158.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
104.0ms	(+ (* x 2.0) (* x x))

simplify2.1s

Counts

31 → 31

Iterations

Useful iterations: 2 (279.0ms)

Iter	Nodes	Cost
0	59	9590
1	188	6132
2	991	5972
done	5002	5972

prune143.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x))))
0.6b	(cbrt (+ (* x 2.0) (* x x)))
0.6b	(cbrt (+ (* x 2.0) (* x x)))
0.6b	(cbrt (+ (* x 2.0) (* x x)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

60.0ms	(* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x))))
4.0ms	(cbrt (+ (* x 2.0) (* x x)))
4.0ms	(cbrt (+ (* x 2.0) (* x x)))
4.0ms	(cbrt (+ (* x 2.0) (* x x)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (+ (* x 2.0) (* x x))) (cbrt (+ (* x 2.0) (* x x))))
128.0ms	(cbrt (+ (* x 2.0) (* x x)))
118.0ms	(cbrt (+ (* x 2.0) (* x x)))
138.0ms	(cbrt (+ (* x 2.0) (* x x)))

simplify128.0ms

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	147	48387