Details

Time bar (total: 2.0s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
50%0%50%4

sample38.0ms

Algorithm
intervals
Results
14.0ms48×body1280valid
8.0ms46×body640valid
6.0ms126×body80valid
3.0ms24×body320valid
1.0ms12×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.0b
(log (+ N 1.0))
4.2b
(- (log (+ N 1.0)) (log N))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
11×log-prod
7×pow1 add-sqr-sqrt
5×add-cube-cbrt log-pow
4×log-div associate--l+ distribute-lft-out--
3×add-exp-log associate--r+
2×associate--l- flip3-+ add-cbrt-cube flip-+ distribute-lft-out add-log-exp
1×sub-neg flip3-- diff-log rem-log-exp flip-- difference-of-squares
Counts
2 → 40
Calls
2 calls:
3.0ms
(log (+ N 1.0))
7.0ms
(- (log (+ N 1.0)) (log N))

series15.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(log (+ N 1.0))
12.0ms
(- (log (+ N 1.0)) (log N))

simplify41.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05481434

prune82.0ms

Filtered
35 candidates to 46 candidates (-31.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New42446
Fresh000
Picked101
Done000
Total43447

Merged error: 0.0b

Counts
47 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 N) (/ 0.5 (* N N)))
0.4b
(/ 0.3333333333333333 (pow N 3))
0.6b
(/ 0.5 (* N N))
11.0b
(+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
43×times-frac
41×add-sqr-sqrt
38×*-un-lft-identity
31×add-cube-cbrt
14×add-exp-log
13×associate-/r*
12×unpow-prod-down cube-prod
11×add-cbrt-cube add-log-exp
6×associate-/l*
5×div-exp
4×pow1 cube-mult unpow3 difference-of-squares sqr-pow
3×cbrt-undiv frac-add
2×sub-neg flip3-- frac-2neg diff-log clear-num sum-log frac-sub flip-- div-inv distribute-lft-out distribute-lft-out--
1×+-commutative pow-to-exp associate-+r- associate-+r+ flip3-+ pow-exp prod-exp cbrt-unprod flip-+
Counts
4 → 122
Calls
4 calls:
9.0ms
(- (/ 1.0 N) (/ 0.5 (* N N)))
5.0ms
(/ 0.3333333333333333 (pow N 3))
4.0ms
(/ 0.5 (* N N))
31.0ms
(+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))

series16.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- (/ 1.0 N) (/ 0.5 (* N N)))
4.0ms
(/ 0.3333333333333333 (pow N 3))
3.0ms
(/ 0.5 (* N N))
4.0ms
(+ (/ 0.3333333333333333 (pow N 3)) (- (/ 1.0 N) (/ 0.5 (* N N))))

simplify33.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
051011475

prune158.0ms

Filtered
82 candidates to 134 candidates (-63.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh033
Picked011
Done000
Total1335138

Merged error: 0.0b

Counts
138 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
4.8b
(log (/ (+ N 1.0) N))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
24×times-frac
19×add-sqr-sqrt add-cube-cbrt
16×log-prod
7×add-exp-log distribute-lft-out
4×add-cbrt-cube associate-/l*
3×pow1 associate-/r*
2×div-exp rem-log-exp div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 60
Calls
2 calls:
5.0ms
(/ (+ N 1.0) N)
4.0ms
(log (/ (+ N 1.0) N))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ N 1.0) N)
4.0ms
(log (/ (+ N 1.0) N))

simplify43.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04970619
14970619

prune83.0ms

Filtered
48 candidates to 66 candidates (-37.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done011
Total66571

Merged error: 0.0b

Counts
71 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (log (+ N 1.0)))
0.7b
(exp (log (log (+ N 1.0))))
2.0b
(log (+ N 1.0))
26.5b
(- (exp (log (log (+ N 1.0)))) (log N))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×log-prod
14×*-un-lft-identity
13×add-sqr-sqrt
10×pow1
9×add-cube-cbrt
6×add-exp-log log-pow
5×exp-sum add-log-exp
4×exp-prod add-cbrt-cube
3×associate--r+
2×log-div rem-log-exp distribute-lft-out-- difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+ rem-exp-log distribute-lft-out
Counts
4 → 62
Calls
4 calls:
1.0ms
(log (log (+ N 1.0)))
2.0ms
(exp (log (log (+ N 1.0))))
3.0ms
(log (+ N 1.0))
7.0ms
(- (exp (log (log (+ N 1.0)))) (log N))

series18.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(log (log (+ N 1.0)))
3.0ms
(exp (log (log (+ N 1.0))))
3.0ms
(log (+ N 1.0))
6.0ms
(- (exp (log (log (+ N 1.0)))) (log N))

simplify35.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05190687

prune96.0ms

Filtered
51 candidates to 74 candidates (-45.1%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done022
Total74579

Merged error: 0.0b

Counts
79 → 5

regimes41.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 31.5b

bsearch13.0ms

Steps
ItersRangePoint
9
186.61901161662522
16244079.121248191
8100.288561316632

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03725
13725

end0.0ms

sample1.1s

Algorithm
intervals
Results
501.0ms1751×body1280valid
237.0ms1251×body640valid
205.0ms4076×body80valid
79.0ms646×body320valid
21.0ms276×body160valid

Profiling

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