Details

Time bar (total: 6.0s)

sample46.0ms

Algorithm
intervals
Results
15.0ms62×body1280valid
7.0ms47×body640valid
6.0ms231×body80nan
5.0ms116×body80valid
2.0ms24×body320valid
0.0ms7×body160valid

simplify13.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize7.0ms

Local error

Found 2 expressions with local error:

2.4b
(log (+ N 1.0))
3.0b
(- (log (+ N 1.0)) (log N))

rewrite16.0ms

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:
4.0ms
(log (+ N 1.0))
11.0ms
(- (log (+ N 1.0)) (log N))

series140.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(log (+ N 1.0))
102.0ms
(- (log (+ N 1.0)) (log N))

simplify575.0ms

Counts
47 → 47

prune94.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))
0.1b
(* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))
0.3b
(/ 1 (pow N 2))

rewrite249.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
67×times-frac
46×*-un-lft-identity
36×add-cube-cbrt
32×add-exp-log
28×associate-*l*
23×unpow-prod-down
16×associate-*r/
14×frac-add
12×div-exp
11×associate-*r*
10×prod-exp add-cbrt-cube
9×frac-times unpow2 unswap-sqr sqr-pow
8×associate-/r*
7×un-div-inv
6×pow-to-exp rec-exp flip3-- 1-exp pow-exp frac-sub flip-- difference-of-squares
5×pow1 add-log-exp
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in
3×associate-*l/ associate-/l*
2×cbrt-undiv cbrt-unprod div-inv distribute-lft-out--
1×+-commutative pow-flip frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ inv-pow
Counts
3 → 166
Calls
3 calls:
57.0ms
(+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))
178.0ms
(* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))
8.0ms
(/ 1 (pow N 2))

series129.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ (* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0))) (* 1.0 (/ 1 N)))
77.0ms
(* (/ 1 (pow N 2)) (- (/ (/ 6004799503160661.0 18014398509481984.0) N) (/ 1.0 2.0)))
17.0ms
(/ 1 (pow N 2))

simplify1.1s

Counts
175 → 175

prune302.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ N 1.0) N)
3.2b
(log (/ (+ N 1.0) N))

rewrite27.0ms

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:
16.0ms
(/ (+ N 1.0) N)
9.0ms
(log (/ (+ N 1.0) N))

series133.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (+ N 1.0) N)
83.0ms
(log (/ (+ N 1.0) N))

simplify759.0ms

Counts
66 → 66

prune99.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes13.0ms

Accuracy

100% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 31.4b

bsearch33.0ms

Steps
ItersRangePoint
10
3.867816780885244
19114730088.218723
9569.703398282674

simplify516.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
512.0ms1784×body1280valid
333.0ms630×body320valid
287.0ms8124×body80nan
218.0ms1213×body640valid
171.0ms4061×body80valid
20.0ms312×body160valid