Details

Time bar (total: 2.2s)

analyze314.0ms

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
0%99.9%0.1%4
0%99.9%0.1%5
6.2%93.6%0.1%6
15.6%84.3%0.1%7
25%74.9%0.1%8
37.4%62.4%0.1%9
46.8%53%0.1%10
55%44.9%0.1%11
64.2%35.7%0.1%12
70.3%29.5%0.1%13
75.4%24.4%0.1%14

sample18.0ms

Algorithm
intervals
Results
7.0ms238×body80valid
1.0ms7×body1280valid
0.0ms5×body640valid
0.0ms6×body320valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01949
11949

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (+ (* (+ x y) 2) z))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
6×add-log-exp
3×*-un-lft-identity sum-log
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
7.0ms
(+ x (+ (* (+ x y) 2) z))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ x (+ (* (+ x y) 2) z))

simplify43.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05196203

prune32.0ms

Filtered
11 candidates to 17 candidates (-54.5%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New15217
Fresh000
Picked101
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* (+ x y) 2))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ x (* (+ x y) 2))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ x (* (+ x y) 2))

simplify42.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04804139
14804139

prune25.0ms

Filtered
10 candidates to 14 candidates (-40.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14014
Fresh011
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×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 → 95
Calls
4 calls:
17.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
6.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
6.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

series187.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (+ x (+ (* (+ x y) 2) z))) (cbrt (+ x (+ (* (+ x y) 2) z))))
44.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
42.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
45.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049801796
149801796

prune227.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh000
Picked011
Done011
Total1054109

Merged error: 0.0b

Counts
109 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b
(cbrt (+ x (+ (* (+ x y) 2) z)))
0.5b
(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))
0.6b
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
19×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
8×cbrt-div
7×unpow-prod-down
4×pow1 add-exp-log pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×flip3-+ flip-+
1×unpow2 sqr-pow
Counts
4 → 65
Calls
4 calls:
7.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
6.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
8.0ms
(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))
7.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
42.0ms
(cbrt (+ x (+ (* (+ x y) 2) z)))
69.0ms
(cbrt (pow (cbrt (+ x (+ (* (+ x y) 2) z))) 2))
54.0ms
(cbrt (cbrt (+ x (+ (* (+ x y) 2) z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051231212

prune250.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New76177
Fresh011
Picked011
Done022
Total76581

Merged error: 0.0b

Counts
81 → 5

regimes179.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0329
1329

end0.0ms

sample435.0ms

Algorithm
intervals
Results
212.0ms7449×body80valid
21.0ms180×body1280valid
16.0ms171×body640valid
9.0ms119×body320valid
3.0ms62×body160valid
3.0ms19×body2560valid
0.0ms5×body80invalid

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