Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
11.0ms257×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
412
311
29
16
04

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
sum-log distribute-lft-out
add-sqr-sqrt pow1 +-commutative associate-+l+ flip3-+ add-cbrt-cube add-exp-log add-cube-cbrt flip-+
Counts
1 → 15
Calls
1 calls:
46.0ms
(+ (+ x y) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(+ (+ x y) x)

simplify903.0ms

Counts
18 → 18
Iterations
IterNodes
done5000
31085
2246
181
032

prune73.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

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)))

rewrite281.0ms

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
sqrt-pow1 flip3-+ pow1/2 flip-+
associate-*r* associate-*l*
sum-log add-cbrt-cube add-exp-log
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
+-commutative associate-+l+ associate-*l/ associate-*r/
pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
27.0ms
(sqrt (+ (+ x y) x))
39.0ms
(+ (+ x y) x)
37.0ms
(+ (+ x y) x)
172.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series163.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(sqrt (+ (+ x y) x))
34.0ms
(+ (+ x y) x)
32.0ms
(+ (+ x y) x)
46.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify852.0ms

Counts
128 → 128
Iterations
IterNodes
done5000
21148
1275
0119

prune396.0ms

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
IterNodes
done0
00

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done7
17
05

end0.0ms

sample429.0ms

Algorithm
intervals
Results
180.0ms8003×body80valid