Details

sample124.0ms

Algorithm

intervals

Results

55.0ms	104×	body	1280	valid
33.0ms	94×	body	640	valid
12.0ms	45×	body	320	valid
11.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid

simplify2.0s

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize16.0ms

Local error

Found 3 expressions with local error:

3.6b	(- (log1p n) (log n))
0.0b	(fma (- (log1p n) (log n)) n (+ (log1p n) -1))
0.0b	(+ (log1p n) -1)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`prod-diff`
7×	`pow1` `add-log-exp`
4×	`log-pow`
3×	`expm1-log1p-u` `log-prod` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u` `associate--r+`
2×	`log1p-udef` `sum-log` `diff-log` `distribute-lft-out--`
1×	`+-commutative` `difference-of-sqr--1` `sub-neg` `flip3-+` `flip3--` `flip-+` `fma-udef` `flip--` `distribute-lft-out` `difference-of-squares`

Counts

3 → 68

Calls

3 calls:

Slowest

6.0ms	(- (log1p n) (log n))
5.0ms	(+ (log1p n) -1)
0.0ms	(fma (- (log1p n) (log n)) n (+ (log1p n) -1))

series234.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

118.0ms	(fma (- (log1p n) (log n)) n (+ (log1p n) -1))
90.0ms	(- (log1p n) (log n))
27.0ms	(+ (log1p n) -1)

simplify1.3s

Counts: 77 → 77

prune677.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ -1/6 (* n n))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `-un-lft-identity` `times-frac` `add-cube-cbrt` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`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

7.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

42.0ms

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

simplify2.1s

Counts: 27 → 27

prune221.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.9s	3598×	body	1280	valid
2.0s	2644×	body	640	valid
490.0ms	1316×	body	320	valid
305.0ms	8000×	pre	80	true
97.0ms	442×	body	160	valid