Details

Time bar (total: 2.3s)

sample49.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 100%

Results
20.0ms61×body1280valid
9.0ms46×body640valid
7.0ms123×body80valid
3.0ms23×body320valid
0.0ms3×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

1.3b
(- (log (+ N 1.0)) (log N))
4.1b
(log (+ N 1.0))

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 → 41
Calls
2 calls:
7.0ms
(- (log (+ N 1.0)) (log N))
3.0ms
(log (+ N 1.0))

series9.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(- (log (+ N 1.0)) (log N))
4.0ms
(log (+ N 1.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0232285
1628264
22171244
35001244

prune80.0ms

Filtered
34 candidates to 47 candidates (-38.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New44347
Fresh000
Picked101
Done000
Total45348

Merged error: 0.0b

Counts
48 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 1.0 (/ 0.5 N))
0.1b
(* (/ 1 N) (- 1.0 (/ 0.5 N)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
15×*-un-lft-identity
13×times-frac associate-*l*
11×add-exp-log
10×add-cube-cbrt
7×add-cbrt-cube
6×associate-*r*
4×pow1 prod-exp add-log-exp difference-of-squares
3×sub-neg flip3-- flip-- unswap-sqr
2×distribute-rgt-in frac-times distribute-lft-in associate-*r/ div-exp cbrt-unprod distribute-lft-out--
1×cbrt-undiv rec-exp diff-log 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
2 → 61
Calls
2 calls:
6.0ms
(- 1.0 (/ 0.5 N))
13.0ms
(* (/ 1 N) (- 1.0 (/ 0.5 N)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(- 1.0 (/ 0.5 N))
5.0ms
(* (/ 1 N) (- 1.0 (/ 0.5 N)))

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0297383
11224321
25001309

prune72.0ms

Filtered
45 candidates to 67 candidates (-48.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New67067
Fresh022
Picked011
Done000
Total67370

Merged error: 0.0b

Counts
70 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
1.3b
(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))

series9.0ms

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

simplify91.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0221370
1736343
23220333
35002333

prune75.0ms

Filtered
45 candidates to 66 candidates (-46.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh011
Picked101
Done011
Total66369

Merged error: 0.0b

Counts
69 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ (+ N 1.0) N))
0.3b
(cbrt (/ (+ N 1.0) N))
1.3b
(log (cbrt (/ (+ N 1.0) N)))
1.3b
(log (cbrt (/ (+ N 1.0) N)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
62×*-un-lft-identity
48×times-frac
38×add-sqr-sqrt add-cube-cbrt log-prod
12×distribute-lft-out
6×pow1 add-exp-log
4×cbrt-div pow1/3 log-pow add-cbrt-cube div-inv add-log-exp
2×log-div rem-log-exp
Counts
4 → 110
Calls
4 calls:
4.0ms
(cbrt (/ (+ N 1.0) N))
4.0ms
(cbrt (/ (+ N 1.0) N))
5.0ms
(log (cbrt (/ (+ N 1.0) N)))
7.0ms
(log (cbrt (/ (+ N 1.0) N)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(cbrt (/ (+ N 1.0) N))
8.0ms
(cbrt (/ (+ N 1.0) N))
9.0ms
(log (cbrt (/ (+ N 1.0) N)))
11.0ms
(log (cbrt (/ (+ N 1.0) N)))

simplify106.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
02611042
1782972
23437942
35002942

prune242.0ms

Filtered
94 candidates to 122 candidates (-29.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh011
Picked101
Done011
Total1223125

Merged error: 0.0b

Counts
125 → 3

regimes32.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 32.5b

bsearch26.0ms

Steps
ItersRangePoint
9
2243.3436189396953
419072967.9204439
54049.172079891905

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03117
13117

end0.0ms

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50%

Guaranteed chance to sample good point: 100%

Results
537.0ms1787×body1280valid
238.0ms1223×body640valid
217.0ms4128×body80valid
77.0ms572×body320valid
27.0ms290×body160valid

Profiling

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