Details

Time bar (total: 19.8s)

sample178.0ms

Algorithm
intervals
Results
87.0ms111×body1280valid
48.0ms90×body640valid
18.0ms48×body320valid
11.0ms256×pre80true
2.0msbody160valid

simplify8.2s

Counts
1 → 1
Iterations
IterNodes
102683
91863
81164
7654
6424
5280
4144
381
249
120
09

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (fma n (- (log1p n) (log n)) (log1p n)) -1)
0.0b
(fma n (- (log1p n) (log n)) (log1p n))
2.9b
(- (log1p n) (log n))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×add-sqr-sqrt
13×add-cube-cbrt
12×prod-diff
pow1
add-log-exp
log-pow
expm1-log1p-u log-prod fma-def add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u associate--r+
diff-log fma-udef distribute-lft-out--
+-commutative difference-of-sqr--1 associate-+l+ log1p-udef sum-log sub-neg flip3-+ flip3-- flip-+ flip-- distribute-lft-out difference-of-squares
Counts
3 → 68
Calls
3 calls:
9.0ms
(+ (fma n (- (log1p n) (log n)) (log1p n)) -1)
0.0ms
(fma n (- (log1p n) (log n)) (log1p n))
12.0ms
(- (log1p n) (log n))

series371.0ms

Counts
3 → 9
Calls
3 calls:
146.0ms
(+ (fma n (- (log1p n) (log n)) (log1p n)) -1)
132.0ms
(fma n (- (log1p n) (log n)) (log1p n))
93.0ms
(- (log1p n) (log n))

simplify2.1s

Counts
77 → 77
Iterations
IterNodes
32900
2857
1342
0144

prune583.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ -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:
6.0ms
(/ -1/6 (* n n))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ -1/6 (* n n))

simplify2.3s

Counts
27 → 27
Iterations
IterNodes
43781
3900
2277
1104
046

prune183.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations
IterNodes
211
111
09

end0.0ms

sample5.7s

Algorithm
intervals
Results
3.3s3609×body1280valid
1.4s2653×body640valid
527.0ms1303×body320valid
221.0ms8000×pre80true
96.0ms435×body160valid