Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

292×

body

valid

simplify49.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	10	7
2	20	7
3	26	7
4	34	7
5	40	7
done	40	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

47.0ms	(+ (+ (* x y) x) y)
8.0ms	(+ (* x y) x)

series75.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (+ (* x y) x) y)
47.0ms	(+ (* x y) x)

simplify1.6s

Counts

31 → 31

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	49	310
1	143	292
2	451	274
3	1578	270
done	5000	268

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

43.0ms

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify1.7s

Counts

16 → 16

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	33	181
1	109	174
2	386	160
3	1569	160
done	5001	160

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) x)
0.0b	(sqrt (+ (* x y) x))
0.0b	(sqrt (+ (* x y) x))
0.3b	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

8.0ms	(+ (* x y) x)
16.0ms	(sqrt (+ (* x y) x))
20.0ms	(sqrt (+ (* x y) x))
101.0ms	(* (sqrt (+ (* x y) x)) (sqrt (+ (* x y) x)))

series53.0ms

Calls

1 calls:

44.0ms

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