Details

Time bar (total: 1.6s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
25%25%50%3
25%12.5%62.5%4
25%6.2%68.8%5
25%3.1%71.9%6
25%1.6%73.5%7
25%0.8%74.2%8
25%0.4%74.6%9
25%0.2%74.8%10
25%0.1%74.9%11
25%0%75%12
25%0%75%13
25%0%75%14

sample26.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
049966
149966

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(log (log x))
0.3b
(- (log x) (log (log x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
11×log-prod
9×pow1 *-un-lft-identity
7×add-sqr-sqrt log-pow
5×add-cube-cbrt
4×associate--r+ distribute-lft-out--
3×add-exp-log associate--l+
2×add-cbrt-cube add-log-exp
1×sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 36
Calls
2 calls:
1.0ms
(log (log x))
5.0ms
(- (log x) (log (log x)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(log (log x))
38.0ms
(- (log x) (log (log x)))

simplify67.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05000276

prune35.0ms

Filtered
25 candidates to 42 candidates (-68.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh000
Picked011
Done000
Total40343

Merged error: 0b

Counts
43 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (/ x (log x)))
0.3b
(/ x (log x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×log-prod
10×pow1
8×log-pow
7×add-exp-log
4×associate-/r* add-cbrt-cube
3×associate-/l*
2×div-exp rem-log-exp div-inv add-log-exp
1×cbrt-undiv log-div frac-2neg clear-num
Counts
2 → 58
Calls
2 calls:
3.0ms
(log (/ x (log x)))
3.0ms
(/ x (log x))

series60.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(log (/ x (log x)))
24.0ms
(/ x (log x))

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05019491

prune51.0ms

Filtered
40 candidates to 64 candidates (-60.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh101
Picked011
Done101
Total65267

Merged error: 0b

Counts
67 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
52×times-frac
37×add-cube-cbrt *-un-lft-identity
35×sqrt-prod
28×associate-*r*
21×pow1
16×add-exp-log
15×log-pow
10×add-cbrt-cube
6×associate-*l* associate-/l* unswap-sqr
4×prod-exp associate-/r*
3×div-exp rem-log-exp add-log-exp
2×cbrt-undiv associate-*r/ pow-prod-down cbrt-unprod div-inv
1×log-div log-prod frac-2neg clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
6.0ms
(log (* (sqrt x) (/ (sqrt x) (log x))))
12.0ms
(* (sqrt x) (/ (sqrt x) (log x)))
4.0ms
(/ (sqrt x) (log x))

series55.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(log (* (sqrt x) (/ (sqrt x) (log x))))
18.0ms
(* (sqrt x) (/ (sqrt x) (log x)))
10.0ms
(/ (sqrt x) (log x))

simplify66.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050041059

prune85.0ms

Filtered
71 candidates to 123 candidates (-73.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh000
Picked011
Done011
Total1232125

Merged error: 0b

Counts
125 → 2

regimes24.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
179

end0.0ms

sample838.0ms

Algorithm
intervals
Results
240.0ms8000×body80valid

Profiling

Loading profile data...