Details

Time bar (total: 2.5s)

sample54.0ms

Algorithm
intervals
Results
15.0ms50×body1280valid
11.0ms132×body80valid
8.0ms248×body80nan
7.0ms36×body640valid
3.0ms22×body320valid
1.0ms16×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1104
2104

prune3.0ms

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: 28.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.5b
(log (+ N 1.0))
4.0b
(- (log (+ N 1.0)) (log N))

rewrite10.0ms

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:
3.0ms
(log (+ N 1.0))
6.0ms
(- (log (+ N 1.0)) (log N))

series10.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(log (+ N 1.0))
7.0ms
(- (log (+ N 1.0)) (log N))

simplify56.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0232285
1628264
22171244
35001244

prune81.0ms

Filtered
47 candidates to 34 candidates (27.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New43447
Fresh000
Picked101
Done000
Total44448

Merged error: 0.0b

Counts
48 → 4

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
4.3b
(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))

series8.0ms

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

prune77.0ms

Filtered
66 candidates to 45 candidates (31.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh123
Picked011
Done000
Total66470

Merged error: 0.0b

Counts
70 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (+ N 1.0) (/ 1 N))
7.0b
(log (* (+ N 1.0) (/ 1 N)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
17×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×times-frac
10×add-cube-cbrt
8×prod-exp
7×pow1 add-cbrt-cube
6×log-div
5×rem-log-exp
4×frac-times flip3-+ div-exp associate-*l* associate-*l/ flip-+
3×unswap-sqr
2×rec-exp 1-exp associate-*r/ pow-prod-down log-pow un-div-inv cbrt-unprod add-log-exp
1×cbrt-undiv log-prod *-commutative div-inv distribute-lft-out
Counts
2 → 62
Calls
2 calls:
10.0ms
(* (+ N 1.0) (/ 1 N))
6.0ms
(log (* (+ N 1.0) (/ 1 N)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (+ N 1.0) (/ 1 N))
4.0ms
(log (* (+ N 1.0) (/ 1 N)))

simplify37.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0304339
11431297
25002266

prune74.0ms

Filtered
68 candidates to 45 candidates (33.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done011
Total68472

Merged error: 0.0b

Counts
72 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))
0.1b
(* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))
0.8b
(/ 1 (pow N 2))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
57×times-frac
42×*-un-lft-identity
36×add-cube-cbrt
32×add-exp-log
28×associate-*l*
23×unpow-prod-down
12×div-exp
10×prod-exp add-cbrt-cube
9×unpow2 unswap-sqr sqr-pow
8×associate-/r*
6×pow-to-exp rec-exp 1-exp associate-*r* pow-exp
5×pow1 frac-add add-log-exp
4×distribute-rgt-in frac-times sub-neg associate-+l+ flip3-- distribute-lft-in associate-*r/ flip--
3×associate-/l*
2×cbrt-undiv associate-*l/ cbrt-unprod div-inv difference-of-squares
1×+-commutative pow-flip frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ distribute-lft-out-- inv-pow
Counts
3 → 150
Calls
3 calls:
17.0ms
(+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))
16.0ms
(* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))
5.0ms
(/ 1 (pow N 2))

series12.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ (* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5)) (/ 1.0 N))
6.0ms
(* (/ 1 (pow N 2)) (- (/ 0.3333333333333333 N) 0.5))
2.0ms
(/ 1 (pow N 2))

simplify70.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05831075
12726892
25001829

prune165.0ms

Filtered
159 candidates to 89 candidates (44.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1581159
Fresh011
Picked011
Done022
Total1585163

Merged error: 0b

Counts
163 → 5

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.5b

bsearch15.0ms

Steps
ItersRangePoint
10
1.8861453929162526e-07
127140.91663662092
9139.803395594983

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample1.5s

Algorithm
intervals
Results
515.0ms1789×body1280valid
253.0ms8177×body80nan
224.0ms1214×body640valid
199.0ms4053×body80valid
76.0ms626×body320valid
24.0ms318×body160valid

Profiling

Loading profile data...