Details

Time bar (total: 1.9s)

sample44.0ms

Algorithm
intervals
Results
19.0ms691×body80nan
9.0ms256×body80valid

simplify4.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(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)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(log (log x))
38.0ms
(- (log x) (log (log x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0126237
1273212
2543191
32469191
45002191

prune35.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New41243
Fresh000
Picked101
Done000
Total42244

Merged error: 0b

Counts
44 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ x (log x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1
associate-/r* log-pow
add-exp-log add-cbrt-cube associate-/l*
cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
3.0ms
(/ x (log x))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ x (log x))

simplify62.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0100160
1270149
2703142
32282142
45001142

prune30.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New33134
Fresh101
Picked101
Done000
Total35136

Merged error: 0b

Counts
36 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(log (/ 1 x))
0.3b
(/ (neg x) (log (/ 1 x)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
41×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×log-pow
26×pow1
21×distribute-lft-neg-in distribute-rgt-neg-in
13×log-prod
12×pow-flip inv-pow
10×associate-/l*
add-exp-log
neg-mul-1
associate-/r*
rem-log-exp add-cbrt-cube
div-exp
div-inv add-log-exp
cbrt-undiv neg-sub0 log-div rec-exp frac-2neg 1-exp div-sub distribute-frac-neg log-rec clear-num
Counts
2 → 119
Calls
2 calls:
3.0ms
(log (/ 1 x))
6.0ms
(/ (neg x) (log (/ 1 x)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(log (/ 1 x))
25.0ms
(/ (neg x) (log (/ 1 x)))

simplify97.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0327778
11147745
24517697
35001683

prune111.0ms

Filtered
66 candidates to 125 candidates (-89.4%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh000
Picked011
Done000
Total1251126

Merged error: 0b

Counts
126 → 1

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1115

end0.0ms

sample1.3s

Algorithm
intervals
Results
545.0ms23934×body80nan
277.0ms8000×body80valid

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