Details

sample190.0ms

Algorithm

intervals

Results

96.0ms	118×	body	1280	valid
49.0ms	86×	body	640	valid
19.0ms	45×	body	320	valid
9.0ms	256×	pre	80	true
2.0ms	7×	body	160	valid

simplify7.6s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma n (- (log1p n) (log n)) (log1p n))
3.2b	(- (log1p n) (log n))

rewrite9.0ms

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))
7.0ms	(- (log1p n) (log n))

series223.0ms

Counts

2 → 6

Calls

2 calls:

157.0ms	(fma n (- (log1p n) (log n)) (log1p n))
66.0ms	(- (log1p n) (log n))

simplify11.7s

Counts

54 → 54

Iterations

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

prune199.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (log n))
0.0b	(+ (+ (+ (/ 1/2 n) (+ 1 (log n))) (/ -1/6 (* n n))) -1)
0.7b	(/ -1/6 (* n n))

rewrite568.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 77

Calls

3 calls:

6.0ms	(+ 1 (log n))
555.0ms	(+ (+ (+ (/ 1/2 n) (+ 1 (log n))) (/ -1/6 (* n n))) -1)
6.0ms	(/ -1/6 (* n n))

series285.0ms

Counts

3 → 9

Calls

3 calls:

212.0ms	(+ 1 (log n))
43.0ms	(+ (+ (+ (/ 1/2 n) (+ 1 (log n))) (/ -1/6 (* n n))) -1)
30.0ms	(/ -1/6 (* n n))

simplify7.7s

Counts

86 → 86

Iterations

Iter	Nodes
3	6012
2	1227
1	366
0	140

prune389.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (/ -1/6 n) n)
0.4b	(/ -1/6 n)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
52×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
16×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

2 → 103

Calls

2 calls:

15.0ms	(/ (/ -1/6 n) n)
8.0ms	(/ -1/6 n)

series85.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (/ -1/6 n) n)
33.0ms	(/ -1/6 n)

simplify1.0s

Counts

109 → 109

Iterations

Iter	Nodes
3	2456
2	764
1	317
0	151

prune395.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Iterations

Iter	Nodes
2	11
1	11
0	9

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.8s	3609×	body	1280	valid
1.5s	2703×	body	640	valid
443.0ms	1265×	body	320	valid
259.0ms	8000×	pre	80	true
155.0ms	423×	body	160	valid