Details

Time bar (total: 2.0s)

analyze3.0ms

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

sample63.0ms

Algorithm
intervals
Results
30.0ms67×body1280valid
10.0ms132×body80valid
10.0ms32×body640valid
3.0ms14×body320valid
1.0ms11×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0717
1717

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.8b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

2.9b
(log (+ N 1.0))
3.4b
(- (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 → 40
Calls
2 calls:
3.0ms
(log (+ N 1.0))
6.0ms
(- (log (+ N 1.0)) (log N))

series9.0ms

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

simplify40.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05481434

prune76.0ms

Filtered
35 candidates to 46 candidates (-31.4%)
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)
3.3b
(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))

series10.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04970619
14970619

prune78.0ms

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

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New66066
Fresh022
Picked011
Done000
Total66369

Merged error: 0.0b

Counts
69 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (pow (log (+ N 1.0)) 3))
0.4b
(pow (log (+ N 1.0)) 3)
2.9b
(log (+ N 1.0))
3.4b
(- (cbrt (pow (log (+ N 1.0)) 3)) (log N))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×cbrt-prod
17×*-un-lft-identity
12×add-cube-cbrt
11×pow1
9×unpow-prod-down cube-prod
7×log-prod
6×add-exp-log log-pow
5×add-cbrt-cube add-log-exp difference-of-squares
3×pow-unpow associate--r+ sqr-pow
2×cube-mult log-div unpow3 distribute-lft-out--
1×pow-to-exp sub-neg flip3-- pow-pow flip3-+ pow1/3 diff-log rem-log-exp pow-exp flip-- rem-cbrt-cube flip-+ distribute-lft-out rem-cube-cbrt
Counts
4 → 84
Calls
4 calls:
2.0ms
(cbrt (pow (log (+ N 1.0)) 3))
2.0ms
(pow (log (+ N 1.0)) 3)
3.0ms
(log (+ N 1.0))
9.0ms
(- (cbrt (pow (log (+ N 1.0)) 3)) (log N))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(cbrt (pow (log (+ N 1.0)) 3))
13.0ms
(pow (log (+ N 1.0)) 3)
3.0ms
(log (+ N 1.0))
6.0ms
(- (cbrt (pow (log (+ N 1.0)) 3)) (log N))

simplify45.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049621096
149621096

prune120.0ms

Filtered
59 candidates to 96 candidates (-62.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh011
Picked011
Done011
Total96399

Merged error: 0.0b

Counts
99 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 N) (/ 0.5 (* N N)))
0.2b
(/ 0.3333333333333333 (pow N 3))
0.4b
(/ 0.5 (* N N))
15.0b
(+ (/ 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:
11.0ms
(- (/ 1.0 N) (/ 0.5 (* N N)))
5.0ms
(/ 0.3333333333333333 (pow N 3))
4.0ms
(/ 0.5 (* N N))
27.0ms
(+ (/ 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)))
3.0ms
(/ 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))))

simplify34.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051011475

prune146.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1331134
Fresh000
Picked011
Done022
Total1334137

Merged error: 0b

Counts
137 → 4

regimes34.0ms

Accuracy

99.9% (0.0b remaining)

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

bsearch13.0ms

Steps
ItersRangePoint
8
13.205235401315994
833091.3351525224
4196.390774846881

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04829
14829

end0.0ms

sample1.1s

Algorithm
intervals
Results
501.0ms1758×body1280valid
234.0ms1271×body640valid
199.0ms4092×body80valid
72.0ms600×body320valid
21.0ms279×body160valid

Profiling

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