Details

sample188.0ms

Algorithm

intervals

Results

58.0ms	91×	body	1280	valid
27.0ms	32×	body	10240	exit
26.0ms	53×	body	640	valid
11.0ms	18×	body	640	nan
10.0ms	170×	body	80	nan
10.0ms	27×	body	320	valid
10.0ms	131×	body	80	valid
7.0ms	11×	body	1280	nan
4.0ms	18×	body	160	valid
3.0ms	13×	body	320	nan
1.0ms	8×	body	160	nan

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	34	13
3	81	13
4	231	13
5	694	13
6	3452	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize445.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.7b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
2.2b	(pow (+ x 1.0) (/ 1.0 n))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 79

Calls

3 calls:

9.0ms	(pow x (/ 1.0 n))
126.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
20.0ms	(pow (+ x 1.0) (/ 1.0 n))

series738.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(pow x (/ 1.0 n))
409.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
226.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.8s

Counts

88 → 88

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	190	1337
1	473	1246
2	1192	1206
3	3615	1183
done	5001	1183

prune367.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.6b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ (/ 1.0 n) 2))
1.7b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 197

Calls

4 calls:

8.0ms	(pow x (/ (/ 1.0 n) 2))
115.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
20.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
17.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series987.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(pow x (/ (/ 1.0 n) 2))
446.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
208.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
213.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.3s

Counts

209 → 209

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	297	3215
1	784	2889
2	1989	2839
done	5000	2824

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 21.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ (/ 1.0 n) 2))
1.7b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 197

Calls

4 calls:

15.0ms	(pow x (/ (/ 1.0 n) 2))
134.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
38.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
27.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series947.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(pow x (/ (/ 1.0 n) 2))
396.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
228.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
232.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.4s

Counts

209 → 209

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	297	3215
1	784	2889
2	1989	2839
done	5000	2824

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow x (/ (/ 1.0 n) 2))
1.7b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.2b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
124×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
112×	`add-cube-cbrt`
21×	`unpow-prod-down`
12×	`div-inv`
9×	`difference-of-squares` `sqr-pow`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 197

Calls

4 calls:

8.0ms	(pow x (/ (/ 1.0 n) 2))
125.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
15.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
29.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series1.0s

Counts

4 → 12

Calls

4 calls:

94.0ms	(pow x (/ (/ 1.0 n) 2))
468.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
210.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
243.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.3s

Counts

209 → 209

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	297	3215
1	784	2889
2	1989	2839
done	5000	2824

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.6b

Details

sample188.0ms

simplify3.0s

prune3.0ms

localize445.0ms

rewrite160.0ms

series738.0ms

simplify2.8s

prune367.0ms

localize16.0ms

rewrite171.0ms

series987.0ms

simplify1.3s

prune1.2s

localize23.0ms

rewrite236.0ms

series947.0ms

simplify1.4s

prune1.4s

localize21.0ms

rewrite196.0ms

series1.0s

simplify1.3s

prune1.7s

regimes16.0ms