Details

Time bar (total: 733.0ms)

analyze52.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
56.2%43.7%0.1%6
65.6%34.3%0.1%7
76.5%23.4%0.1%8
82%18%0.1%9
87.8%12.1%0.1%10
90.7%9.2%0.1%11
93.8%6.1%0.1%12
95.3%4.6%0.1%13
96.8%3.1%0.1%14

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0125
1125

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (+ x y) x)

rewrite6.0ms

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:
6.0ms
(+ (+ x y) x)

series4.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05128116

prune22.0ms

Filtered
11 candidates to 18 candidates (-63.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New16218
Fresh000
Picked011
Done000
Total16319

Merged error: 0.0b

Counts
19 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ x y))
0.0b
(+ x (+ x y))
0.3b
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
38×sqrt-prod
30×distribute-lft-out
23×add-sqr-sqrt
18×pow1
16×swap-sqr
13×add-log-exp
12×sqrt-div
11×add-cube-cbrt
sqrt-pow1 flip3-+ pow1/2 associate-*r* associate-*l* flip-+
sum-log
add-exp-log pow-prod-up add-cbrt-cube
frac-times unswap-sqr
pow-prod-down pow-sqr
+-commutative associate-+r+ associate-*r/ associate-*l/
pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
3 → 99
Calls
3 calls:
5.0ms
(+ x (+ x y))
6.0ms
(+ x (+ x y))
15.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

series16.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ x (+ x y))
4.0ms
(+ x (+ x y))
8.0ms
(* (sqrt (+ x (+ x y))) (sqrt (+ x (+ x y))))

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05358833

prune62.0ms

Filtered
48 candidates to 108 candidates (-125.0%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done011
Total1083111

Merged error: 0.0b

Counts
111 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (+ x (+ x y)) 3)
0.0b
(+ x (+ x y))
38.4b
(cbrt (pow (+ x (+ x y)) 3))

rewrite22.0ms

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-+r+ pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 71
Calls
3 calls:
8.0ms
(pow (+ x (+ x y)) 3)
5.0ms
(+ x (+ x y))
6.0ms
(cbrt (pow (+ x (+ x y)) 3))

series17.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(pow (+ x (+ x y)) 3)
4.0ms
(+ x (+ x y))
6.0ms
(cbrt (pow (+ x (+ x y)) 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05023689

prune64.0ms

Filtered
40 candidates to 80 candidates (-100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New79180
Fresh000
Picked101
Done202
Total82183

Merged error: 0b

Counts
83 → 1

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 0b

Counts
1 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0569
1569

end0.0ms

sample240.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid
0.0msbody80invalid

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