Details

Time bar (total: 1.9s)

sample10.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
3115
4125
done125

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+l+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 15
Calls
1 calls:
19.0ms
(+ (+ x y) x)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(+ (+ x y) x)

simplify1.3s

Counts
18 → 18
Iterations

Useful iterations: 4 (273.0ms)

IterNodesCost
032145
189140
2218130
3626122
42589116
done5000116

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)))

rewrite116.0ms

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*
add-exp-log sum-log add-cbrt-cube
pow-prod-up
frac-times unswap-sqr
pow-prod-down pow-sqr
+-commutative associate-+l+ associate-*r/ associate-*l/
pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 116
Calls
4 calls:
16.0ms
(sqrt (+ (+ x y) x))
13.0ms
(+ (+ x y) x)
13.0ms
(+ (+ x y) x)
70.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(sqrt (+ (+ x y) x))
22.0ms
(+ (+ x y) x)
22.0ms
(+ (+ x y) x)
41.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

simplify248.0ms

Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
01191813
12551233
27351143