Details

Time bar (total: 12.6s)

sample132.0ms

Algorithm
intervals
Results
80.0ms123×body1280valid
26.0ms80×body640valid
8.0ms36×body320valid
7.0ms256×pre80true
3.0ms17×body160valid

simplify2.1s

Counts
1 → 1

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.3b

localize34.0ms

Local error

Found 4 expressions with local error:

4.9b
(- (log1p n) (log n))
0.0b
(fma (- (log1p n) (log n)) n (+ (log1p n) -1))
0.0b
(log1p n)
0.0b
(log1p n)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
15×add-sqr-sqrt
13×add-cube-cbrt
12×prod-diff
pow1
expm1-log1p-u
add-log-exp
add-cbrt-cube add-exp-log log-pow insert-posit16 log1p-expm1-u
log1p-udef log-prod fma-neg associate--r+
diff-log log1p-expm1 distribute-lft-out--
sub-neg flip3-- fma-udef flip-- difference-of-squares
Counts
4 → 72
Calls
4 calls:
Slowest
12.0ms
(- (log1p n) (log n))
1.0ms
(log1p n)
1.0ms
(log1p n)
0.0ms
(fma (- (log1p n) (log n)) n (+ (log1p n) -1))

series260.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(fma (- (log1p n) (log n)) n (+ (log1p n) -1))
78.0ms
(- (log1p n) (log n))
37.0ms
(log1p n)
24.0ms
(log1p n)

simplify796.0ms

Counts
84 → 84

prune646.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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
6.0ms
(/ -1/6 (* n n))

series30.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
30.0ms
(/ -1/6 (* n n))

simplify2.1s

Counts
27 → 27

prune150.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.4s

Algorithm
intervals
Results
3.4s3588×body1280valid
1.5s2641×body640valid
936.0ms1361×body320valid
275.0ms8000×pre80true
99.0ms410×body160valid