Details

sample236.0ms

Algorithm

intervals

Results

73.0ms	91×	body	1280	valid
35.0ms	32×	body	10240	exit
33.0ms	53×	body	640	valid
13.0ms	131×	body	80	valid
13.0ms	18×	body	640	nan
13.0ms	170×	body	80	nan
12.0ms	27×	body	320	valid
8.0ms	11×	body	1280	nan
5.0ms	13×	body	320	nan
4.0ms	18×	body	160	valid
2.0ms	8×	body	160	nan

simplify3.3s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	35	13
3	86	13
4	245	13
5	730	13
6	3688	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize15.0ms

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))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

76×	`*-un-lft-identity`
73×	`unpow-prod-down`
63×	`add-sqr-sqrt`
56×	`prod-diff`
51×	`add-cube-cbrt`
26×	`pow-unpow`
24×	`sqr-pow`
18×	`times-frac`
10×	`distribute-lft-out`
9×	`difference-of-squares`
8×	`fma-neg`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 149

Calls

3 calls:

8.0ms	(pow x (/ 1.0 n))
189.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
12.0ms	(pow (+ x 1.0) (/ 1.0 n))

series801.0ms

Counts

3 → 9

Calls

3 calls:

114.0ms	(pow x (/ 1.0 n))
490.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
197.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.4s

Counts

158 → 158

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	271	4785
1	647	3566
2	1619	3020
done	5000	2646

prune497.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.6b

localize31.0ms

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))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
171×	`*-un-lft-identity`
156×	`add-sqr-sqrt`
144×	`add-cube-cbrt`
129×	`pow-unpow`
77×	`unpow-prod-down`
56×	`prod-diff`
25×	`sqr-pow`
12×	`div-inv`
11×	`distribute-lft-out`
9×	`difference-of-squares`
8×	`fma-neg`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 269

Calls

4 calls:

8.0ms	(pow x (/ (/ 1.0 n) 2))
183.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
29.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
30.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series986.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(pow x (/ (/ 1.0 n) 2))
421.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
230.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
244.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.7s

Counts

281 → 281

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	378	7611
1	958	5824
2	2417	5145
done	5000	4547

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.6b

localize32.0ms

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`
171×	`*-un-lft-identity`
156×	`add-sqr-sqrt`
144×	`add-cube-cbrt`
129×	`pow-unpow`
77×	`unpow-prod-down`
56×	`prod-diff`
25×	`sqr-pow`
12×	`div-inv`
11×	`distribute-lft-out`
9×	`difference-of-squares`
8×	`fma-neg`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 269

Calls

4 calls:

8.0ms	(pow x (/ (/ 1.0 n) 2))
127.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
19.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
14.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series964.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(pow x (/ (/ 1.0 n) 2))
446.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
227.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
203.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.7s

Counts

281 → 281

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	378	7611
1	958	5824
2	2417	5145
done	5000	4547

prune1.7s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.6b

localize22.0ms

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))

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
171×	`*-un-lft-identity`
156×	`add-sqr-sqrt`
144×	`add-cube-cbrt`
129×	`pow-unpow`
77×	`unpow-prod-down`
56×	`prod-diff`
25×	`sqr-pow`
12×	`div-inv`
11×	`distribute-lft-out`
9×	`difference-of-squares`
8×	`fma-neg`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 269

Calls

4 calls:

12.0ms	(pow x (/ (/ 1.0 n) 2))
145.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
18.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
33.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series931.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(pow x (/ (/ 1.0 n) 2))
397.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
250.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
208.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.8s

Counts

281 → 281

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	378	7611
1	958	5824
2	2417	5145
done	5000	4547

prune1.8s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 21.6b

Details

sample236.0ms

simplify3.3s

prune5.0ms

localize15.0ms

rewrite223.0ms

series801.0ms

simplify1.4s

prune497.0ms

localize31.0ms

rewrite273.0ms

series986.0ms

simplify1.7s

prune1.3s

localize32.0ms

rewrite196.0ms

series964.0ms

simplify1.7s

prune1.7s

localize22.0ms

rewrite223.0ms

series931.0ms

simplify1.8s

prune1.8s

regimes4.0ms