Details

Time bar (total: 1.8s)

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

sample20.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
044
144

prune7.0ms

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))

rewrite6.0ms

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:
5.0ms
(* x (log x))

series17.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04842169
14842169

prune38.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New22628
Fresh000
Picked011
Done000
Total22729

Merged error: 0.0b

Counts
29 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 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)

series138.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* x (* (log (cbrt x)) 2))
49.0ms
(+ (* x (* (log (cbrt x)) 2)) (* x (log (cbrt x))))
21.0ms
(cbrt x)
22.0ms
(cbrt x)

simplify30.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
05255513

prune85.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New72476
Fresh325
Picked011
Done011
Total75883

Merged error: 0.0b

Counts
83 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* (log (cbrt x)) 2))
0.3b
(+ (* x (* (log (cbrt x)) 2)) (* x (log (pow x 1/3))))
0.6b
(cbrt x)
5.0b
(pow x 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-+r+ log-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×unpow-prod-down add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
3×cbrt-prod pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod sqr-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*r* pow-exp sum-log *-commutative flip-+ distribute-lft-out
Counts
4 → 73
Calls
4 calls:
5.0ms
(* x (* (log (cbrt x)) 2))
8.0ms
(+ (* x (* (log (cbrt x)) 2)) (* x (log (pow x 1/3))))
1.0ms
(cbrt x)
2.0ms
(pow x 1/3)

series149.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* x (* (log (cbrt x)) 2))
58.0ms
(+ (* x (* (log (cbrt x)) 2)) (* x (log (pow x 1/3))))
21.0ms
(cbrt x)
22.0ms
(pow x 1/3)

simplify73.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05040469

prune106.0ms

Filtered
58 candidates to 85 candidates (-46.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83285
Fresh325
Picked101
Done022
Total87693

Merged error: 0.0b

Counts
93 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* (log x) 5/6))
0.3b
(* x (log (pow (sqrt x) 1/3)))
0.3b
(* (log x) 5/6)
4.1b
(pow (sqrt x) 1/3)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×log-prod
18×add-cube-cbrt unpow-prod-down *-un-lft-identity
16×pow1
14×add-exp-log
13×add-cbrt-cube
10×distribute-rgt-in distribute-lft-in associate-*l*
9×sqrt-prod
8×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow-unpow pow-pow *-commutative sqr-pow
2×log-pow unswap-sqr
1×pow-to-exp sqrt-pow1 pow1/2 unpow1/3 pow-exp sqrt-pow2
Counts
4 → 100
Calls
4 calls:
5.0ms
(* x (* (log x) 5/6))
6.0ms
(* x (log (pow (sqrt x) 1/3)))
4.0ms
(* (log x) 5/6)
3.0ms
(pow (sqrt x) 1/3)

series53.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* x (* (log x) 5/6))
14.0ms
(* x (log (pow (sqrt x) 1/3)))
15.0ms
(* (log x) 5/6)
8.0ms
(pow (sqrt x) 1/3)

simplify87.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04827876
14827876

prune109.0ms

Filtered
65 candidates to 112 candidates (-72.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1111112
Fresh033
Picked011
Done022
Total1117118

Merged error: 0b

Counts
118 → 7

regimes90.0ms

Accuracy

0% (0.3b 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

sample618.0ms

Algorithm
intervals
Results
169.0ms8000×body80valid

Profiling

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