Details

Time bar (total: 1.6s)

analyze48.0ms

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
0.0ms1×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1125

prune9.0ms

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

series4.0ms

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

simplify55.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05128116

prune19.0ms

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

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
0.5b
(cbrt (+ x (+ x y)))
0.5b
(cbrt (+ x (+ x y)))
0.5b
(cbrt (+ x (+ x y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 105
Calls
4 calls:
17.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (+ x (+ x y)))

series135.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ x (+ x y))) (cbrt (+ x (+ x y))))
33.0ms
(cbrt (+ x (+ x y)))
31.0ms
(cbrt (+ x (+ x y)))
31.0ms
(cbrt (+ x (+ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
048471271
148471271

prune110.0ms

Filtered
75 candidates to 117 candidates (-56.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1143117
Fresh011
Picked011
Done011
Total1146120

Merged error: 0.0b

Counts
120 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (+ x y)))
0.5b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (cbrt (+ x (+ x y))))
0.6b
(cbrt (cbrt (+ x (+ x y))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
30×*-un-lft-identity
12×cbrt-div distribute-lft-out
10×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 66
Calls
4 calls:
5.0ms
(cbrt (+ x (+ x y)))
7.0ms
(cbrt (+ x (+ x y)))
5.0ms
(cbrt (cbrt (+ x (+ x y))))
5.0ms
(cbrt (cbrt (+ x (+ x y))))

series140.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (+ x (+ x y)))
33.0ms
(cbrt (+ x (+ x y)))
39.0ms
(cbrt (cbrt (+ x (+ x y))))
38.0ms
(cbrt (cbrt (+ x (+ x y))))

simplify46.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04874826
14874826

prune105.0ms

Filtered
60 candidates to 78 candidates (-30.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done022
Total78684

Merged error: 0.0b

Counts
84 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (+ x y)))
0.6b
(cbrt (cbrt (+ x (+ x y))))
0.6b
(cbrt (cbrt (+ x (+ x y))))
0.9b
(pow (cbrt (cbrt (+ x (+ x y)))) 4)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
33×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
11×unpow-prod-down
10×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 77
Calls
4 calls:
6.0ms
(cbrt (+ x (+ x y)))
6.0ms
(cbrt (cbrt (+ x (+ x y))))
5.0ms
(cbrt (cbrt (+ x (+ x y))))
7.0ms
(pow (cbrt (cbrt (+ x (+ x y)))) 4)

series184.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(cbrt (+ x (+ x y)))
38.0ms
(cbrt (cbrt (+ x (+ x y))))
40.0ms
(cbrt (cbrt (+ x (+ x y))))
73.0ms
(pow (cbrt (cbrt (+ x (+ x y)))) 4)

simplify33.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04851990
14851990

prune113.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh022
Picked011
Done033
Total89695

Merged error: 0.0b

Counts
95 → 6

regimes141.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065
165

end0.0ms

sample244.0ms

Algorithm
intervals
Results
123.0ms8000×body80valid
0.0ms1×body80invalid

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