Details

Time bar (total: 10.4s)

sample126.0ms

Algorithm
intervals
Results
55.0ms57×body1280valid
16.0ms218×body80nan
16.0ms132×body80valid
15.0ms34×body640valid
7.0ms24×body320valid
2.0msbody160valid

simplify22.0ms

Counts
1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize19.0ms

Local error

Found 2 expressions with local error:

2.7b
(- (log1p N) (log N))
0.0b
(log1p N)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
13×add-sqr-sqrt
12×prod-diff
11×add-cube-cbrt
pow1
log-pow
expm1-log1p-u log-prod fma-neg associate--r+ add-log-exp
log1p-udef add-cbrt-cube diff-log add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
sub-neg flip3-- log1p-expm1 flip-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
Slowest
15.0ms
(- (log1p N) (log N))
1.0ms
(log1p N)

series124.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
101.0ms
(- (log1p N) (log N))
23.0ms
(log1p N)

simplify2.5s

Counts
55 → 55

prune515.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

3.4b
(log (/ (+ 1 N) N))
0.0b
(/ (+ 1 N) N)

rewrite30.0ms

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:
Slowest
24.0ms
(/ (+ 1 N) N)
4.0ms
(log (/ (+ 1 N) N))

series111.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
61.0ms
(/ (+ 1 N) N)
50.0ms
(log (/ (+ 1 N) N))

simplify1.6s

Counts
72 → 72

prune544.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

3.4b
(log (+ (/ 1 N) 1))

rewrite12.0ms

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:
Slowest
11.0ms
(log (+ (/ 1 N) 1))

series40.0ms

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

simplify1.6s

Counts
22 → 22

prune126.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0

prune5.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.0s

Algorithm
intervals
Results
977.0ms1693×body1280valid
611.0ms7729×body80nan
461.0ms1222×body640valid
445.0ms4191×body80valid
189.0ms599×body320valid
45.0ms295×body160valid