Details

Time bar (total: 17.1s)

sample144.0ms

Algorithm
intervals
Results
80.0ms131×body1280valid
33.0ms79×body640valid
11.0ms37×body320valid
4.0ms256×pre80true
2.0msbody160valid

simplify7.3s

Counts
1 → 1
Iterations
IterNodes
done5000
51856
4502
3149
249
119
09

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (log (+ 1.0 n)) (+ 1.0 n))
0.3b
(fma n (log n) 1.0)
4.4b
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (fma n (log n) 1.0))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-cube-cbrt
add-cbrt-cube add-exp-log add-log-exp
associate-*r* associate-*l*
expm1-log1p-u prod-diff log1p-expm1-u
distribute-rgt-in distribute-lft-in associate--l+ associate-*r/ fma-udef
sub-neg flip3-+ flip3-- fma-neg diff-log pow-prod-down prod-exp log-pow *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out associate--r+ unswap-sqr
Counts
3 → 57
Calls
3 calls:
32.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
0.0ms
(fma n (log n) 1.0)
15.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (fma n (log n) 1.0))

series758.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
384.0ms
(fma n (log n) 1.0)
287.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (fma n (log n) 1.0))

simplify2.2s

Counts
66 → 66
Iterations
IterNodes
done5000
22537
1423
0145

prune313.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 0.16666666666666669 n) n)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
add-cbrt-cube add-exp-log
div-inv
cbrt-undiv associate-/r* div-exp
expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 72
Calls
1 calls:
15.0ms
(/ (/ 0.16666666666666669 n) n)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(/ (/ 0.16666666666666669 n) n)

simplify1.2s

Counts
75 → 75
Iterations
IterNodes
done5000
21637
1343
0142

prune363.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
done11
011

end0.0ms

sample4.6s

Algorithm
intervals
Results
2.5s3659×body1280valid
1.0s2604×body640valid
524.0ms8000×pre80true
348.0ms1323×body320valid
56.0ms414×body160valid