Details

Time bar (total: 1.4s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14

sample12.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
144

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
4.0ms
(* x (log x))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* x (log x))

simplify78.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04610169
14610169

prune41.0ms

Filtered
16 candidates to 28 candidates (-75.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New20828
Fresh000
Picked011
Done000
Total20929

Merged error: 0.0b

Counts
29 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* (log (cbrt x)) 2))
0.3b
(+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x))))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 64
Calls
4 calls:
5.0ms
(* x (* (log (cbrt x)) 2))
7.0ms
(+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series144.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* x (* (log (cbrt x)) 2))
49.0ms
(+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x))))
24.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify48.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05152513

prune84.0ms

Filtered
51 candidates to 76 candidates (-49.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New73376
Fresh437
Picked101
Done011
Total78785

Merged error: 0.0b

Counts
85 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* x (+ (* (log (cbrt x)) 2) (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
0.5b
(cbrt (sqrt x))
0.5b
(cbrt (sqrt x))
0.6b
(cbrt x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
18×associate-+r+ log-prod
15×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×sqrt-prod
10×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
2×associate-+l+
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 71
Calls
4 calls:
12.0ms
(+ (* x (+ (* (log (cbrt x)) 2) (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))
1.0ms
(cbrt x)

series125.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (* x (+ (* (log (cbrt x)) 2) (log (cbrt (sqrt x))))) (* x (log (cbrt (sqrt x)))))
16.0ms
(cbrt (sqrt x))
16.0ms
(cbrt (sqrt x))
22.0ms
(cbrt x)

simplify35.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05241846

prune94.0ms

Filtered
61 candidates to 83 candidates (-36.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh055
Picked011
Done011
Total83790

Merged error: 0.0b

Counts
90 → 7

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series97.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt (cbrt x))
21.0ms
(cbrt x)
24.0ms
(cbrt x)
21.0ms
(cbrt x)

simplify53.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
04917225
14917225

prune80.0ms

Filtered
39 candidates to 59 candidates (-51.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh044
Picked011
Done022
Total59766

Merged error: 0.0b

Counts
66 → 7

regimes85.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
144

end0.0ms

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%50%25%3
37.5%25%37.5%4
43.7%12.5%43.8%5
46.9%6.2%46.9%6
48.4%3.1%48.5%7
49.2%1.6%49.2%8
49.6%0.8%49.6%9
49.6%0.4%50%10
49.7%0.2%50.1%11
49.7%0.1%50.2%12
49.7%0%50.2%13
49.7%0%50.2%14

sample282.0ms

Algorithm
intervals
Results
196.0ms8000×body80valid
0.0ms3×body80nan

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