Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
4	12
3	11
2	8
1	6
0	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

36.0ms

(+ (+ x y) x)

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(+ (+ x y) x)

simplify3.1s

Counts

18 → 18

Iterations

Iter	Nodes
done	5027
4	4295
3	885
2	243
1	80
0	32

prune70.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

48.0ms	(sqrt (+ (+ x y) x))
44.0ms	(+ (+ x y) x)
43.0ms	(+ (+ x y) x)
197.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (+ (+ x y) x))
43.0ms	(+ (+ x y) x)
31.0ms	(+ (+ x y) x)
56.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify2.1s

Counts

128 → 128

Iterations

Iter	Nodes
done	5009
3	2576
2	721
1	268
0	119

prune415.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	5

end0.0ms

sample367.0ms

Algorithm

intervals

Results

162.0ms

8004×

body

valid