Details

Time bar (total: 2.2s)

analyze1.0ms

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

sample39.0ms

Algorithm
intervals
Results
15.0ms54×body1280valid
9.0ms48×body640valid
7.0ms134×body80valid
1.0ms12×body320valid
1.0ms8×body160valid

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
046687
146687

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

2.0b
(- (log (+ N 1.0)) (log N))
2.8b
(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 → 40
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
46 → 46
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04963425
14963425

prune87.0ms

Filtered
34 candidates to 46 candidates (-35.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New43346
Fresh000
Picked101
Done000
Total44347

Merged error: 0.0b

Counts
47 → 3

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
2.2b
(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))

series10.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (+ N 1.0) N)
4.0ms
(log (/ (+ N 1.0) N))

simplify33.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05301619

prune96.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New65166
Fresh022
Picked101
Done000
Total66369

Merged error: 0.0b

Counts
69 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1 (/ 1.0 N))
0.3b
(cbrt (pow (log (+ 1 (/ 1.0 N))) 3))
0.4b
(pow (log (+ 1 (/ 1.0 N))) 3)
2.2b
(log (+ 1 (/ 1.0 N)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
10×pow1
8×unpow-prod-down cube-prod
6×add-exp-log add-log-exp
5×log-pow add-cbrt-cube
4×log-prod
3×pow-unpow
2×cube-mult log-div flip3-+ unpow3 flip-+ distribute-lft-out sqr-pow
1×+-commutative pow-to-exp pow-pow pow1/3 rem-log-exp pow-exp sum-log rem-cbrt-cube rem-cube-cbrt
Counts
4 → 75
Calls
4 calls:
8.0ms
(+ 1 (/ 1.0 N))
2.0ms
(cbrt (pow (log (+ 1 (/ 1.0 N))) 3))
2.0ms
(pow (log (+ 1 (/ 1.0 N))) 3)
6.0ms
(log (+ 1 (/ 1.0 N)))

series18.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ 1 (/ 1.0 N))
3.0ms
(cbrt (pow (log (+ 1 (/ 1.0 N))) 3))
9.0ms
(pow (log (+ 1 (/ 1.0 N))) 3)
3.0ms
(log (+ 1 (/ 1.0 N)))

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04997943
14997943

prune124.0ms

Filtered
49 candidates to 87 candidates (-77.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New86187
Fresh022
Picked101
Done000
Total87390

Merged error: 0.0b

Counts
90 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (pow (cbrt (pow (log (+ 1 (/ 1.0 N))) 3)) 3))
0.4b
(pow (log (+ 1 (/ 1.0 N))) 3)
0.4b
(pow (cbrt (pow (log (+ 1 (/ 1.0 N))) 3)) 3)
2.2b
(log (+ 1 (/ 1.0 N)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
54×unpow-prod-down cube-prod
28×*-un-lft-identity
26×add-sqr-sqrt add-cube-cbrt
17×pow1
11×log-pow
7×add-exp-log cube-mult unpow3 sqr-pow
6×pow-unpow
5×add-cbrt-cube
4×log-prod add-log-exp
3×pow-pow
2×pow-to-exp log-div pow1/3 pow-exp rem-cube-cbrt
1×flip3-+ rem-log-exp rem-cbrt-cube flip-+ distribute-lft-out
Counts
4 → 141
Calls
4 calls:
6.0ms
(cbrt (pow (cbrt (pow (log (+ 1 (/ 1.0 N))) 3)) 3))
2.0ms
(pow (log (+ 1 (/ 1.0 N))) 3)
5.0ms
(pow (cbrt (pow (log (+ 1 (/ 1.0 N))) 3)) 3)
6.0ms
(log (+ 1 (/ 1.0 N)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(cbrt (pow (cbrt (pow (log (+ 1 (/ 1.0 N))) 3)) 3))
8.0ms
(pow (log (+ 1 (/ 1.0 N))) 3)
11.0ms
(pow (cbrt (pow (log (+ 1 (/ 1.0 N))) 3)) 3)
3.0ms
(log (+ 1 (/ 1.0 N)))

simplify68.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050051907

prune149.0ms

Filtered
57 candidates to 153 candidates (-168.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1530153
Fresh022
Picked011
Done000
Total1533156

Merged error: 0.0b

Counts
156 → 3

regimes36.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 29.2b

bsearch12.0ms

Steps
ItersRangePoint
8
1632.7820732706534
506176.03599996783
3051.5709578869396

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09426
19426

end0.0ms

sample1.2s

Algorithm
intervals
Results
504.0ms1751×body1280valid
236.0ms1249×body640valid
218.0ms4130×body80valid
77.0ms577×body320valid
23.0ms293×body160valid

Profiling

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