Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify12.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (+ x y) x)

rewrite40.0ms

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:

40.0ms

(+ (+ x y) x)

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(+ (+ x y) x)

simplify2.7s

Counts

18 → 18

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	32	145
1	80	140
2	239	130
3	813	122
4	3728	116
done	5000	116

prune34.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)))

rewrite334.0ms

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:

31.0ms	(sqrt (+ (+ x y) x))
43.0ms	(+ (+ x y) x)
27.0ms	(+ (+ x y) x)
228.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(sqrt (+ (+ x y) x))
32.0ms	(+ (+ x y) x)
42.0ms	(+ (+ x y) x)
62.0ms	(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify2.0s

Counts

128 → 128

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	119	1813
1	243	1227
2	680	1143
3	2153	1053
done	5000	989

prune236.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ (* 2 x) y))
0.0b	(sqrt (+ (* 2 x) y))
0.3b	(* (sqrt (+ (* 2 x) y)) (sqrt (+ (* 2 x) y)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

19.0ms	(sqrt (+ (* 2 x) y))
20.0ms	(sqrt (+ (* 2 x) y))
65.0ms	(* (sqrt (+ (* 2 x) y)) (sqrt (+ (* 2 x) y)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(sqrt (+ (* 2 x) y))
58.0ms	(sqrt (+ (* 2 x) y))
56.0ms	(* (sqrt (+ (* 2 x) y)) (sqrt (+ (* 2 x) y)))

simplify2.7s

Counts

96 → 96

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	107	1533
1	228	1027
2	613	957
3	1654	909
done	5000	889

prune280.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	12	5
done	12	5

end0.0ms

sample893.0ms

Algorithm

intervals

Results

626.0ms

8004×

body

valid