Details

sample142.0ms

Algorithm

intervals

Results

47.0ms	98×	body	1280	valid
22.0ms	31×	body	10240	exit
19.0ms	55×	body	640	valid
8.0ms	150×	body	80	valid
7.0ms	177×	body	80	nan
7.0ms	17×	body	1280	nan
6.0ms	18×	body	640	nan
5.0ms	22×	body	320	valid
3.0ms	12×	body	320	nan
2.0ms	16×	body	160	valid
0.0ms	1×	body	160	nan

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	13
1	17	13
2	34	13
3	81	13
4	209	13
5	656	13
6	3056	13
done	5001	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.8b

localize8.0ms

Local error

Found 3 expressions with local error:

1.2b	(pow x (/ 1.0 n))
1.8b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
2.4b	(pow (+ x 1.0) (/ 1.0 n))

rewrite53.0ms

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:

2.0ms	(pow x (/ 1.0 n))
40.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))

series465.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(pow x (/ 1.0 n))
266.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
139.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.4s

Counts

88 → 88

Iterations

Useful iterations: 3 (656.0ms)

Iter	Nodes	Cost
0	190	1337
1	478	1246
2	1258	1206
3	3930	1183
done	5001	1183

prune232.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 21.3b

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(pow x (/ (/ 1.0 n) 2))
1.6b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.4b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.4b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite74.0ms

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:

5.0ms	(pow x (/ (/ 1.0 n) 2))
40.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
8.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
8.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series630.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(pow x (/ (/ 1.0 n) 2))
278.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
147.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
144.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify835.0ms

Counts

209 → 209

Iterations

Useful iterations: done (829.0ms)

Iter	Nodes	Cost
0	297	3215
1	806	2889
2	2151	2839
done	5001	2838

prune762.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 21.2b

localize14.0ms

Local error

Found 4 expressions with local error:

1.6b	(log (exp (- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))))
1.6b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.4b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.4b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
102×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
86×	`pow-unpow`
78×	`add-cube-cbrt`
28×	`unpow-prod-down`
18×	`difference-of-squares`
16×	`log-pow`
15×	`exp-prod`
14×	`sqr-pow`
8×	`div-inv`
7×	`pow1`
6×	`add-exp-log` `distribute-lft-out--` `add-log-exp`
5×	`log-prod`
4×	`add-cbrt-cube` `distribute-lft-out`
2×	`pow-to-exp` `sub-neg` `pow-pow` `exp-sum` `pow-exp`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 170

Calls

4 calls:

92.0ms	(log (exp (- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))))
43.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
8.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
9.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series858.0ms

Counts

4 → 12

Calls

4 calls:

282.0ms	(log (exp (- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))))
279.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
150.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
148.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify913.0ms

Counts

182 → 182

Iterations

Useful iterations: done (907.0ms)

Iter	Nodes	Cost
0	270	3258
1	667	2920
2	1739	2814
done	5001	2800

prune738.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 21.2b

localize19.0ms

Local error

Found 4 expressions with local error:

1.6b	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
2.4b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.4b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.4b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

198×	`times-frac`
129×	`pow-unpow`
125×	`*-un-lft-identity`
124×	`add-sqr-sqrt`
112×	`add-cube-cbrt`
22×	`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` `distribute-lft-out`
3×	`pow-to-exp` `pow-pow` `pow-exp` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 198

Calls

4 calls:

41.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
9.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
11.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
8.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series703.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(- (pow (+ x 1.0) (/ (/ 1.0 n) 2)) (pow x (/ (/ 1.0 n) 2)))
143.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
145.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
146.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify847.0ms

Counts

210 → 210

Iterations

Useful iterations: done (840.0ms)

Iter	Nodes	Cost
0	225	3322
1	602	2993
2	1638	2941
done	5000	2921

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 21.2b

regimes169.0ms

Accuracy

77.5% (2.0b remaining)

Error of 22.6b against oracle of 20.7b and baseline of 29.5b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	103
1	53	103
done	53	103

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	3163×	body	1280	valid
572.0ms	1581×	body	640	valid
503.0ms	1160×	body	10240	exit
306.0ms	637×	body	1280	nan
261.0ms	4816×	body	80	valid
239.0ms	680×	body	640	nan
197.0ms	5120×	body	80	nan
190.0ms	795×	body	320	valid
76.0ms	386×	body	320	nan
62.0ms	432×	body	160	valid
19.0ms	162×	body	160	nan