Details

Time bar (total: 3.3s)

sample10.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
175
2105
3125
4135
done135

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite26.0ms

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:
26.0ms
(+ (+ x y) x)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(+ (+ x y) x)

simplify2.0s

Counts
18 → 18
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
032145
180140
2239130
3813122
43728116
done5000116

prune22.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (+ (+ x y) x) 3)
0.0b
(+ (+ x y) x)
38.2b
(cbrt (pow (+ (+ x y) x) 3))

rewrite98.0ms

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:
37.0ms
(pow (+ (+ x y) x) 3)
28.0ms
(+ (+ x y) x)
31.0ms
(cbrt (pow (+ (+ x y) x) 3))

series103.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(pow (+ (+ x y) x) 3)
23.0ms
(+ (+ x y) x)
41.0ms
(cbrt (pow (+ (+ x y) x) 3))

simplify610.0ms

Counts
80 → 80
Iterations

Useful iterations: done (608.0ms)

IterNodesCost
0100992
1245789
2827734
done5001702

prune112.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize4.0ms

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)

IterNodesCost
000
done00

prune1.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
done75

end0.0ms

sample262.0ms

Algorithm
intervals
Results
99.0ms8004×body80valid