Details

Time bar (total: 2.6s)

sample50.0ms

Algorithm
intervals
Results
15.0ms55×body1280valid
8.0ms42×body640valid
7.0ms244×body80nan
6.0ms131×body80valid
2.0ms19×body320valid
1.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 29.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.3b
(- (log (+ N 1.0)) (log N))
2.6b
(log (+ N 1.0))

rewrite14.0ms

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 → 41
Calls
2 calls:
10.0ms
(- (log (+ N 1.0)) (log N))
3.0ms
(log (+ N 1.0))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- (log (+ N 1.0)) (log N))
4.0ms
(log (+ N 1.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0232285
1628264
22171244
35001244

prune74.0ms

Filtered
47 candidates to 34 candidates (27.7%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New45247
Fresh000
Picked101
Done000
Total46248

Merged error: 0.0b

Counts
48 → 2

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
2.5b
(log (/ (+ N 1.0) N))

rewrite11.0ms

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))

simplify92.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0221370
1736343
23220333
35002333

prune74.0ms

Filtered
66 candidates to 46 candidates (30.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh011
Picked011
Done000
Total65368

Merged error: 0.0b

Counts
68 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ N 1.0) N)
0.0b
(log (log (/ (+ N 1.0) N)))
0.7b
(exp (log (log (/ (+ N 1.0) N))))
2.5b
(log (/ (+ N 1.0) N))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt log-prod times-frac
10×add-exp-log
9×pow1
7×distribute-lft-out
6×add-cbrt-cube
5×log-pow
4×exp-prod exp-sum associate-/l* add-log-exp
3×rem-log-exp associate-/r*
2×div-exp div-inv associate-/l/
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num flip-+ rem-exp-log
Counts
4 → 89
Calls
4 calls:
5.0ms
(/ (+ N 1.0) N)
1.0ms
(log (log (/ (+ N 1.0) N)))
2.0ms
(exp (log (log (/ (+ N 1.0) N))))
4.0ms
(log (/ (+ N 1.0) N))

series19.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (+ N 1.0) N)
7.0ms
(log (log (/ (+ N 1.0) N)))
4.0ms
(exp (log (log (/ (+ N 1.0) N))))
4.0ms
(log (/ (+ N 1.0) N))

simplify162.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0328631
11137576
24900535
35001535

prune155.0ms

Filtered
101 candidates to 68 candidates (32.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1001101
Fresh011
Picked101
Done011
Total1013104

Merged error: 0.0b

Counts
104 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ N 1.0) N)
0.0b
(log (log (/ (+ N 1.0) N)))
0.8b
(pow E (log (log (/ (+ N 1.0) N))))
2.5b
(log (/ (+ N 1.0) N))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
25×add-sqr-sqrt add-cube-cbrt
24×log-prod times-frac
11×add-exp-log
10×pow1
7×distribute-lft-out
6×add-cbrt-cube
5×log-pow
4×unpow-prod-up pow-unpow associate-/l* add-log-exp
3×unpow-prod-down rem-log-exp associate-/r*
2×div-exp pow-exp div-inv associate-/l/
1×cbrt-undiv pow-to-exp log-div e-exp-1 pow-pow frac-2neg flip3-+ clear-num flip-+ sqr-pow
Counts
4 → 96
Calls
4 calls:
8.0ms
(/ (+ N 1.0) N)
1.0ms
(log (log (/ (+ N 1.0) N)))
3.0ms
(pow E (log (log (/ (+ N 1.0) N))))
4.0ms
(log (/ (+ N 1.0) N))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ (+ N 1.0) N)
7.0ms
(log (log (/ (+ N 1.0) N)))
14.0ms
(pow E (log (log (/ (+ N 1.0) N))))
7.0ms
(log (/ (+ N 1.0) N))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0375721
11443647
25001604

prune148.0ms

Filtered
108 candidates to 73 candidates (32.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh011
Picked101
Done011
Total1083111

Merged error: 0.0b

Counts
111 → 3

regimes34.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 29.3b

bsearch14.0ms

Steps
ItersRangePoint
9
4429.475794956495
43212209514.887886
7674.1474112095675

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample1.5s

Algorithm
intervals
Results
486.0ms1739×body1280valid
246.0ms8075×body80nan
222.0ms1237×body640valid
197.0ms4083×body80valid
80.0ms630×body320valid
23.0ms311×body160valid

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