Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	7	5
2	10	5
3	12	5
4	13	5
done	13	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

56.0ms

(+ (+ x y) x)

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(+ (+ x y) x)

simplify692.0ms

Counts

18 → 18

Iterations

Useful iterations: done (691.0ms)

Iter	Nodes	Cost
0	32	145
1	81	140
2	246	130
3	1089	122
done	5001	116

prune32.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ x y) x))
0.0b	(+ (+ x y) x)
0.0b	(+ (+ x y) x)
0.2b	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

rewrite294.0ms

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×	`add-exp-log` `sum-log` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`+-commutative` `associate-+l+` `associate-r/` `associate-l/`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 116

Calls

4 calls:

43.0ms	(sqrt (+ (+ x y) x))
30.0ms	(+ (+ x y) x)
30.0ms	(+ (+ x y) x)
185.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt (+ (+ x y) x))
34.0ms	(+ (+ x y) x)
28.0ms	(+ (+ x y) x)
52.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify700.0ms

Counts

128 → 128

Iterations

Useful iterations: done (695.0ms)

Iter	Nodes	Cost
0	119	1813
1	275	1235
2	1148	1143
done	5000	1088

prune314.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	7	5
done	7	5

end0.0ms

sample435.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid