Details

Time bar (total: 3.7s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
3125
4135
done135

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite46.0ms

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:
46.0ms
(+ (+ x y) x)

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(+ (+ x y) x)

simplify3.1s

Counts
18 → 18
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
032145
180140
2239130
3813122
43728116
done5000116

prune52.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite393.0ms

Algorithm
rewrite-expression-head
Rules
73×*-un-lft-identity
48×sqrt-prod
33×distribute-lft-out
28×add-sqr-sqrt
21×pow1
16×sqrt-div swap-sqr
14×add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ add-log-exp
8×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down sum-log pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+l+ pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
41.0ms
(+ (+ x y) x)
35.0ms
(sqrt (+ (+ x y) x))
61.0ms
(sqrt (+ (+ x y) x))
252.0ms
(* (sqrt (+ (+ x y) x)) (sqrt (+ (+ x y) x)))

series39.0ms