Details

sample78.0ms

Algorithm

intervals

Results

37.0ms	111×	body	1280	valid
20.0ms	90×	body	640	valid
6.0ms	40×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	15×	body	160	valid

simplify2.9s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 63.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (+ n 1.0) (log (+ n 1.0)))
0.3b	(* n (log n))
5.4b	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
25×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1`
8×	`associate-r` `associate--l+`
7×	`add-exp-log` `associate-l` `add-cbrt-cube`
6×	`associate--r+`
5×	`distribute-lft-out` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 81

Calls

3 calls:

45.0ms	(* (+ n 1.0) (log (+ n 1.0)))
11.0ms	(* n (log n))
60.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

series649.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* (+ n 1.0) (log (+ n 1.0)))
288.0ms	(* n (log n))
268.0ms	(- (* (+ n 1.0) (log (+ n 1.0))) (* n (log n)))

simplify795.0ms

Counts: 90 → 90

prune242.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
0.0b	(log (/ 1 n))
0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
0.9b	(/ 1 (pow n 2))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

65×	`times-frac`
64×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
44×	`add-cube-cbrt`
38×	`add-exp-log`
28×	`associate-r`
23×	`unpow-prod-down`
14×	`div-exp`
13×	`log-prod`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`unpow2` `add-log-exp` `unswap-sqr` `sqr-pow`
8×	`pow1` `associate-/r*`
7×	`rec-exp` `1-exp`
6×	`pow-to-exp` `pow-exp`
4×	`rem-log-exp`
3×	`associate-l` `log-pow` `div-inv` `associate-/l*`
2×	`cbrt-undiv` `pow-flip` `diff-log` `cbrt-unprod` `inv-pow`
1×	`sub-neg` `log-div` `flip3--` `frac-2neg` `associate-r/` `log-rec` `pow-prod-down` `clear-num` `sum-log` `un-div-inv` `-commutative` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 165

Calls

4 calls:

38.0ms	(- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
15.0ms	(log (/ 1 n))
51.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
18.0ms	(/ 1 (pow n 2))

series858.0ms

Counts

4 → 12

Calls

4 calls:

581.0ms	(- 1.0 (+ (* 1.0 (log (/ 1 n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
205.0ms	(log (/ 1 n))
38.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
34.0ms	(/ 1 (pow n 2))

simplify713.0ms

Counts: 177 → 177

prune580.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (- 1.0 (+ (* 1.0 (* -1 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
0.0b	(- 1.0 (+ (* 1.0 (* -1 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
0.9b	(/ 1 (pow n 2))

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
56×	`times-frac`
52×	`*-un-lft-identity`
37×	`add-cube-cbrt`
33×	`add-exp-log`
28×	`associate-r`
23×	`unpow-prod-down` `add-log-exp`
12×	`div-exp`
11×	`add-cbrt-cube`
10×	`prod-exp`
9×	`unpow2` `unswap-sqr` `sqr-pow`
8×	`diff-log` `associate-/r*`
6×	`pow1` `pow-to-exp` `rec-exp` `1-exp` `pow-exp`
5×	`sum-log` `distribute-lft-out--`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `difference-of-squares`
1×	`associate--l-` `associate-+l-` `pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `associate--l+` `clear-num` `un-div-inv` `-commutative` `associate--r+` `inv-pow`

Counts

4 → 157

Calls

4 calls:

2.1s	(- (+ (- 1.0 (+ (* 1.0 (* -1 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
48.0ms	(- 1.0 (+ (* 1.0 (* -1 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
46.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
19.0ms	(/ 1 (pow n 2))

series645.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (+ (- 1.0 (+ (* 1.0 (* -1 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2))))) (/ 0.5 n)) 1.0)
512.0ms	(- 1.0 (+ (* 1.0 (* -1 (log n))) (* 0.16666666666666669 (/ 1 (pow n 2)))))
41.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
26.0ms	(/ 1 (pow n 2))

simplify851.0ms

Counts: 169 → 169

prune414.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.16666666666666669 (/ 1 (pow n 2)))
0.9b	(/ 1 (pow n 2))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
53×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
31×	`add-exp-log`
28×	`associate-r`
23×	`unpow-prod-down`
12×	`div-exp`
10×	`prod-exp`
9×	`add-cbrt-cube` `unpow2` `unswap-sqr` `sqr-pow`
8×	`associate-/r*`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

2 → 120

Calls

2 calls:

42.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
11.0ms	(/ 1 (pow n 2))

series53.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* 0.16666666666666669 (/ 1 (pow n 2)))
20.0ms	(/ 1 (pow n 2))

simplify600.0ms

Counts: 126 → 126

prune330.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify475.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

2.3s	3604×	body	1280	valid
989.0ms	2622×	body	640	valid
276.0ms	1340×	body	320	valid
199.0ms	8000×	pre	80	true
55.0ms	434×	body	160	valid