Details

Time bar (total: 10.9s)

sample144.0ms

Algorithm
intervals
Results
73.0ms122×body1280valid
36.0ms79×body640valid
14.0ms46×body320valid
7.0ms256×pre80true
2.0msbody160valid

simplify950.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize31.0ms

Local error

Found 3 expressions with local error:

3.4b
(- (log1p n) (log n))
0.0b
(fma n (- (log1p n) (log n)) (log1p n))
0.0b
(- (fma n (- (log1p n) (log n)) (log1p n)) 1)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt *-un-lft-identity
21×prod-diff
19×add-cube-cbrt
pow1
fma-neg add-log-exp
add-exp-log log-pow
expm1-log1p-u log-prod add-cbrt-cube diff-log insert-posit16 log1p-expm1-u associate--r+ distribute-lft-out-- difference-of-squares
sub-neg flip3-- fma-udef flip--
expm1-def log1p-udef difference-of-sqr-1 associate--l+
Counts
3 → 81
Calls
3 calls:
Slowest
12.0ms
(- (log1p n) (log n))
9.0ms
(- (fma n (- (log1p n) (log n)) (log1p n)) 1)
0.0ms
(fma n (- (log1p n) (log n)) (log1p n))

series346.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
149.0ms
(fma n (- (log1p n) (log n)) (log1p n))
125.0ms
(- (fma n (- (log1p n) (log n)) (log1p n)) 1)
72.0ms
(- (log1p n) (log n))

simplify465.0ms

Counts
118 → 90

prune781.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

1.1b
(/ 1/6 (* n n))

rewrite10.0ms

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 insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 24
Calls
1 calls:
Slowest
10.0ms
(/ 1/6 (* n n))

series39.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
39.0ms
(/ 1/6 (* n n))

simplify1.2s

Counts
31 → 27

prune248.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.6s

Algorithm
intervals
Results
4.0s3676×body1280valid
1.6s2649×body640valid
608.0ms1293×body320valid
271.0ms8000×pre80true
91.0ms382×body160valid