Details

Time bar (total: 1.2s)

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

sample11.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

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: 0.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* 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))

simplify52.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04842169
14842169

prune41.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New22628
Fresh000
Picked101
Done000
Total23629

Merged error: 0.0b

Counts
29 → 6

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.0b
(log (sqrt x))
0.2b
(* x (log (sqrt x)))
0.2b
(* x (log (sqrt x)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
24×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×sqrt-prod
16×pow1
12×distribute-rgt-in distribute-lft-in associate-*r* log-pow
10×add-exp-log
8×add-cbrt-cube
6×associate-*l*
4×sqrt-pow1 pow1/2 add-log-exp
2×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 100
Calls
4 calls:
2.0ms
(log (sqrt x))
2.0ms
(log (sqrt x))
5.0ms
(* x (log (sqrt x)))
5.0ms
(* x (log (sqrt x)))

series24.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(log (sqrt x))
4.0ms
(log (sqrt x))
9.0ms
(* x (log (sqrt x)))
7.0ms
(* x (log (sqrt x)))

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04955898
14955898

prune101.0ms

Filtered
70 candidates to 112 candidates (-60.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1075112
Fresh145
Picked011
Done000
Total10810118

Merged error: 0.0b

Counts
118 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod log-prod
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×distribute-rgt-in associate-+r+ distribute-lft-in sqrt-prod
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 96
Calls
4 calls:
5.0ms
(* x (log (cbrt (sqrt x))))
8.0ms
(+ (* x (* (log (cbrt (sqrt x))) 2)) (* x (log (cbrt (sqrt x)))))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))

series99.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* x (log (cbrt (sqrt x))))
36.0ms
(+ (* x (* (log (cbrt (sqrt x))) 2)) (* x (log (cbrt (sqrt x)))))
15.0ms
(cbrt (sqrt x))
16.0ms
(cbrt (sqrt x))

simplify34.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
04954982
14954982

prune115.0ms

Filtered
73 candidates to 108 candidates (-47.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh178
Picked011
Done011
Total10810118

Merged error: 0.0b

Counts
118 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (sqrt x))
0.2b
(* x (log (sqrt x)))
0.3b
(* (sqrt x) (* (sqrt x) (log (sqrt x))))
0.4b
(* (sqrt x) (log (sqrt x)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×log-prod
36×distribute-rgt-in distribute-lft-in
35×add-sqr-sqrt
34×sqrt-prod
29×add-cube-cbrt *-un-lft-identity
19×pow1
15×associate-*l*
14×add-exp-log
13×associate-*r* add-cbrt-cube
9×log-pow
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×sqrt-pow1 pow1/2 *-commutative unswap-sqr
1×rem-log-exp
Counts
4 → 132
Calls
4 calls:
2.0ms
(log (sqrt x))
5.0ms
(* x (log (sqrt x)))
11.0ms
(* (sqrt x) (* (sqrt x) (log (sqrt x))))
6.0ms
(* (sqrt x) (log (sqrt x)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(log (sqrt x))
7.0ms
(* x (log (sqrt x)))
8.0ms
(* (sqrt x) (* (sqrt x) (log (sqrt x))))
12.0ms
(* (sqrt x) (log (sqrt x)))

simplify74.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049381394
149381394

prune92.0ms

Filtered
79 candidates to 144 candidates (-82.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1440144
Fresh077
Picked011
Done022
Total14410154

Merged error: 0.0b

Counts
154 → 10

regimes51.0ms

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 (1.0ms)

IterNodesCost
0611
1611

end0.0ms

sample282.0ms

Algorithm
intervals
Results
193.0ms8000×body80valid
0.0ms3×body80nan

Profiling

Loading profile data...