Details

Time bar (total: 13.6s)

sample125.0ms

Algorithm
intervals
Results
63.0ms118×body1280valid
32.0ms86×body640valid
11.0ms39×body320valid
4.0ms256×pre80true
2.0ms13×body160valid

simplify5.7s

Counts
1 → 1
Iterations
IterNodes
done5000
134978
124218
113880
103461
92372
81525
71046
6694
5420
4236
3131
248
119
09

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 62.0b

localize21.0ms

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)
4.1b
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (fma n (log n) 1.0))

rewrite38.0ms

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:
19.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
1.0ms
(fma n (log n) 1.0)
18.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (fma n (log n) 1.0))

series592.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* (log (+ 1.0 n)) (+ 1.0 n))
276.0ms
(fma n (log n) 1.0)
231.0ms
(- (* (log (+ 1.0 n)) (+ 1.0 n)) (fma n (log n) 1.0))

simplify1.4s

Counts
66 → 66
Iterations
IterNodes
done5000
21365
1422
0145

prune306.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 0.16666666666666669 (* n n))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
cbrt-undiv div-exp
expm1-log1p-u pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
8.0ms
(/ 0.16666666666666669 (* n n))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ 0.16666666666666669 (* n n))

simplify1.3s

Counts
26 → 26
Iterations
IterNodes
done5003
31298
2305
1102
045

prune107.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.8s3576×body1280valid
943.0ms2702×body640valid
422.0ms8000×pre80true
335.0ms1302×body320valid
95.0ms420×body160valid