Details

Time bar (total: 2.0s)

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

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
042
142

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
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
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))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* x (log x))

simplify35.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
097118
134997
2115292
3500292

prune41.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New21728
Fresh000
Picked011
Done000
Total21829

Merged error: 0.0b

Counts
29 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt x)))
9.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series140.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* x (log (cbrt x)))
47.0ms
(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
24.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify63.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0364765
11382661
25002593

prune173.0ms

Filtered
89 candidates to 114 candidates (-28.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh336
Picked101
Done011
Total1157122

Merged error: 0.0b

Counts
122 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (pow x 1/3))))
0.3b
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
0.6b
(cbrt x)
5.1b
(pow x 1/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
68×log-prod
62×distribute-rgt-in distribute-lft-in
28×add-sqr-sqrt add-cube-cbrt associate-+l+ *-un-lft-identity
27×unpow-prod-down
12×associate-+r+
10×pow1 add-exp-log
cbrt-prod add-cbrt-cube sqr-pow
add-log-exp
pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 127
Calls
4 calls:
6.0ms
(* x (* 2 (log (pow x 1/3))))
10.0ms
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series157.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* x (* 2 (log (pow x 1/3))))
76.0ms
(+ (* x (* 2 (log (pow x 1/3)))) (* x (log (cbrt x))))
21.0ms
(cbrt x)
19.0ms
(pow x 1/3)

simplify96.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
0577987
12151786
25001677

prune200.0ms

Filtered
89 candidates to 139 candidates (-56.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh055
Picked011
Done011
Total1397146

Merged error: 0.0b

Counts
146 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series124.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt x)
25.0ms
(cbrt x)
35.0ms
(cbrt (cbrt x))
39.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify220.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (32.0ms)

IterNodesCost
0147266
1289242
2847200
34355187
45001187

prune78.0ms

Filtered
45 candidates to 57 candidates (-26.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New57057
Fresh044
Picked011
Done022
Total57764

Merged error: 0.0b

Counts
64 → 7

regimes199.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042
142

end0.0ms

analyze6.0ms

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

sample307.0ms

Algorithm
intervals
Results
210.0ms8000×body80valid
0.0msbody80nan

Profiling

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