Details

Time bar (total: 11.5s)

sample87.0ms

Algorithm
intervals
Results
29.0ms56×body1280valid
16.0ms46×body640valid
12.0ms211×body80nan
11.0ms132×body80valid
3.0ms15×body320valid
2.0msbody160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done13
213
111
06

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize9.0ms

Local error

Found 1 expressions with local error:

2.0b
(- (log1p N) (log N))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×add-sqr-sqrt prod-diff
10×add-cube-cbrt
pow1
log-pow
log-prod fma-neg associate--r+
diff-log distribute-lft-out-- add-log-exp
expm1-log1p-u log1p-udef sub-neg flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip-- difference-of-squares
Counts
1 → 37
Calls
1 calls:
12.0ms
(- (log1p N) (log N))

series74.0ms

Counts
1 → 3
Calls
1 calls:
74.0ms
(- (log1p N) (log N))

simplify2.9s

Counts
40 → 40
Iterations
IterNodes
done5000
44052
31137
2403
1185
083

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1 N) N)
2.1b
(log (/ (+ 1 N) N))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
24×times-frac
19×add-sqr-sqrt add-cube-cbrt
16×log-prod
add-exp-log distribute-lft-out
add-cbrt-cube associate-/l*
pow1 associate-/r*
expm1-log1p-u div-exp rem-log-exp insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
cbrt-undiv log-div clear-num frac-2neg flip3-+ log-pow flip-+
Counts
2 → 66
Calls
2 calls:
37.0ms
(/ (+ 1 N) N)
13.0ms
(log (/ (+ 1 N) N))

series119.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (+ 1 N) N)
61.0ms
(log (/ (+ 1 N) N))

simplify1.9s

Counts
72 → 72
Iterations
IterNodes
done5052
32586
2583
1244
0106

prune242.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

2.1b
(log (+ (/ 1 N) 1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
log-prod *-un-lft-identity
add-sqr-sqrt pow1 log-div add-exp-log add-cube-cbrt distribute-lft-out
expm1-log1p-u flip3-+ add-cbrt-cube rem-log-exp log-pow flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 19
Calls
1 calls:
22.0ms
(log (+ (/ 1 N) 1))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(log (+ (/ 1 N) 1))

simplify2.9s

Counts
22 → 22
Iterations
IterNodes
done5002
42305
3908
2306
1113
052

prune84.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune2.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done6
16
04

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s1742×body1280valid
504.0ms7974×body80nan
416.0ms1273×body640valid
314.0ms4057×body80valid
108.0ms606×body320valid
35.0ms322×body160valid