Details

Time bar (total: 789.0ms)

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

sample14.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
064
174
274

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
pow1 *-un-lft-identity
add-sqr-sqrt log-pow
add-cube-cbrt
associate--r+ distribute-lft-out--
add-exp-log associate--l+
add-cbrt-cube add-log-exp
sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 37
Calls
2 calls:
1.0ms
(log (log x))
5.0ms
(- (log x) (log (log x)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(log (log x))
36.0ms
(- (log x) (log (log x)))

simplify66.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0126237
1273212
2543191
32469191
45002191

prune30.0ms

Filtered
25 candidates to 43 candidates (-72.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New42143
Fresh000
Picked101
Done000
Total43144

Merged error: 0b

Counts
44 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (/ x (log x)))
0.2b
(/ 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
log-pow
add-exp-log
associate-/r* add-cbrt-cube
associate-/l*
div-exp rem-log-exp div-inv add-log-exp
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))

series57.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(log (/ x (log x)))
24.0ms
(/ x (log x))

simplify40.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0175362
1478324
21477308
35001306

prune59.0ms

Filtered
41 candidates to 64 candidates (-56.1%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done000
Total64165

Merged error: 0b

Counts
65 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043

end0.0ms

analyze3.0ms

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

sample419.0ms

Algorithm
intervals
Results
315.0ms8000×body80valid
0.0msbody80nan

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