Details

Time bar (total: 1.8s)

sample13.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
295
3115
4125
done125

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite7.0ms

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:
7.0ms
(+ (+ x y) x)

series4.0ms

Counts
1 → 3
Calls
1 calls:
4.0ms
(+ (+ x y) x)

simplify894.0ms

Counts
18 → 18
Iterations

Useful iterations: 4 (282.0ms)

IterNodesCost
032145
189140
2217130
3631122
42552116
done5001116

prune16.0ms

Filtered
10 candidates to 18 candidates (-80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New17118
Fresh000
Picked011
Done000
Total17219

Merged error: 0.0b

Counts
19 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x y) x)
0.0b
(pow (+ (+ x y) x) 3)
40.8b
(cbrt (pow (+ (+ x y) x) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
16×cbrt-prod
15×distribute-lft-out
10×unpow-prod-down cube-prod
add-sqr-sqrt add-cube-cbrt
add-log-exp
pow1 add-exp-log cube-div add-cbrt-cube
pow-unpow flip3-+ sum-log flip-+
cube-mult cbrt-div unpow3 sqr-pow
+-commutative pow-to-exp associate-+l+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 71
Calls
3 calls:
6.0ms
(+ (+ x y) x)
8.0ms
(pow (+ (+ x y) x) 3)
7.0ms
(cbrt (pow (+ (+ x y) x) 3))

series22.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (+ x y) x)
11.0ms
(pow (+ (+ x y) x) 3)
7.0ms
(cbrt (pow (+ (+ x y) x) 3))

simplify373.0ms

Counts
80 → 80
Iterations

Useful iterations: done (371.0ms)

IterNodesCost
0100992
1253789
2876732
done5000719

prune83.0ms

Filtered
48 candidates to 80 candidates (-66.7%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New79180
Fresh000
Picked101
Done101
Total81182

Merged error: 0b

Counts
82 → 1

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1

simplify3.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample356.0ms

Algorithm
intervals
Results
129.0ms8005×body80valid

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