Details

sample232.0ms

Algorithm

intervals

Results

130.0ms	119×	body	1280	valid
54.0ms	83×	body	640	valid
20.0ms	44×	body	320	valid
10.0ms	256×	pre	80	true
3.0ms	10×	body	160	valid

simplify8.2s

Counts

1 → 1

Iterations

Iter	Nodes
10	2683
9	1863
8	1164
7	654
6	424
5	280
4	144
3	81
2	49
1	20
0	9

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.1b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

0.0ms	(fma n (- (log1p n) (log n)) (log1p n))
12.0ms	(- (log1p n) (log n))

series224.0ms

Counts

2 → 6

Calls

2 calls:

138.0ms	(fma n (- (log1p n) (log n)) (log1p n))
86.0ms	(- (log1p n) (log n))

simplify12.3s

Counts

54 → 54

Iterations

Iter	Nodes
4	7120
3	1942
2	607
1	255
0	114

prune551.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (+ (/ 1/2 n) (+ 1 (log n))) (/ -1/6 (* n n))) -1)
1.4b	(/ -1/6 (* n n))

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
23×	`distribute-lft-out`
15×	`add-log-exp`
10×	`sum-log`
7×	`fma-def` `add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt`
4×	`pow1`
3×	`times-frac` `associate-/l*`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log-pow` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `difference-of-sqr--1` `associate-+l+` `clear-num` `associate-/r*` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`

Counts

2 → 55

Calls

2 calls:

506.0ms	(+ (+ (+ (/ 1/2 n) (+ 1 (log n))) (/ -1/6 (* n n))) -1)
6.0ms	(/ -1/6 (* n n))

series95.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (+ (+ (/ 1/2 n) (+ 1 (log n))) (/ -1/6 (* n n))) -1)
49.0ms	(/ -1/6 (* n n))

simplify2.2s

Counts

61 → 61

Iterations

Iter	Nodes
3	5353
2	950
1	286
0	109

prune500.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 1 n) n)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/l*`
10×	`add-exp-log`
6×	`add-cbrt-cube` `div-exp`
5×	`div-inv`
4×	`pow1`
3×	`cbrt-undiv` `associate-/r*`
2×	`pow-div`
1×	`expm1-log1p-u` `rec-exp` `clear-num` `frac-2neg` `1-exp` `insert-posit16` `log1p-expm1-u` `pow-flip` `inv-pow` `add-log-exp` `associate-/l/`

Counts

1 → 77

Calls

1 calls:

16.0ms

(/ (/ 1 n) n)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(/ (/ 1 n) n)

simplify28.1s

Counts

80 → 80

Iterations

Iter	Nodes
4	6876
3	1530
2	600
1	303
0	142

prune726.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
1	9
0	9

end0.0ms

sample6.7s

Algorithm

intervals

Results

4.0s	3678×	body	1280	valid
1.6s	2611×	body	640	valid
531.0ms	1309×	body	320	valid
355.0ms	8000×	pre	80	true
93.0ms	402×	body	160	valid