Details

sample271.0ms

Algorithm

intervals

Results

81.0ms	89×	body	1280	valid
41.0ms	45×	body	10240	exit
35.0ms	53×	body	640	valid
19.0ms	22×	body	1280	nan
15.0ms	152×	body	80	valid
13.0ms	172×	body	80	nan
12.0ms	29×	body	320	valid
10.0ms	16×	body	640	nan
4.0ms	13×	body	320	nan
3.0ms	10×	body	160	valid
2.0ms	9×	body	160	nan

simplify1.3s

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	252	13
5	1266	13
done	5000	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite164.0ms

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:

4.0ms	(pow x (/ 1.0 n))
141.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
12.0ms	(pow (+ x 1.0) (/ 1.0 n))

series1.1s

Counts

3 → 9

Calls

3 calls:

76.0ms	(pow x (/ 1.0 n))
444.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
622.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.7s

Counts

158 → 158

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	271	4785
1	739	3759
2	2865	3021
done	5000	2906

prune579.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 22.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
0.7b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite307.0ms

Algorithm

rewrite-expression-head

Rules

108×	`unpow-prod-down`
94×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
56×	`prod-diff`
55×	`add-cube-cbrt`
37×	`sqr-pow`
36×	`cbrt-prod`
27×	`difference-of-squares`
26×	`pow-unpow`
18×	`times-frac`
15×	`cube-prod`
12×	`distribute-lft-out`
9×	`distribute-lft-out--`
8×	`fma-neg`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`cube-div` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `pow-exp` `flip--` `div-inv`
1×	`cube-mult` `sub-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube`

Counts

4 → 198

Calls

4 calls:

124.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
7.0ms	(pow x (/ 1.0 n))
146.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
19.0ms	(pow (+ x 1.0) (/ 1.0 n))

series1.1s

Counts

4 → 12

Calls

4 calls:

408.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
85.0ms	(pow x (/ 1.0 n))
379.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
204.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.4s

Counts

210 → 210

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	344	6422
1	991	5052
2	4485	4255
done	5000	4254

prune870.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 22.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
0.7b	(pow x (/ 1.0 n))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

108×	`unpow-prod-down`
94×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
56×	`prod-diff`
55×	`add-cube-cbrt`
37×	`sqr-pow`
36×	`cbrt-prod`
27×	`difference-of-squares`
26×	`pow-unpow`
18×	`times-frac`
15×	`cube-prod`
12×	`distribute-lft-out`
9×	`distribute-lft-out--`
8×	`fma-neg`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`cube-div` `pow-to-exp` `cbrt-div` `flip3--` `pow-pow` `pow-exp` `flip--` `div-inv`
1×	`cube-mult` `sub-neg` `pow1/3` `diff-log` `unpow3` `rem-cbrt-cube`

Counts

4 → 198

Calls

4 calls:

97.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
5.0ms	(pow x (/ 1.0 n))
130.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
28.0ms	(pow (+ x 1.0) (/ 1.0 n))

series1.2s

Counts

4 → 12

Calls

4 calls:

438.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
88.0ms	(pow x (/ 1.0 n))
417.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
223.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.4s

Counts

210 → 210

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	344	6422
1	991	5052
2	4485	4255
done	5000	4254

prune984.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 22.4b

localize52.0ms

Local error

Found 4 expressions with local error:

1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.4b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.8b	(pow (+ x 1.0) (/ 1.0 n))
1.8b	(pow (+ x 1.0) (/ 1.0 n))

rewrite342.0ms

Algorithm

rewrite-expression-head

Rules

140×	`unpow-prod-down`
134×	`*-un-lft-identity`
112×	`prod-diff`
108×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
46×	`sqr-pow`
26×	`pow-unpow`
20×	`distribute-lft-out`
18×	`times-frac` `difference-of-squares`
16×	`fma-neg`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `distribute-lft-out--`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `pow-exp` `flip--` `div-inv`

Counts

4 → 240

Calls

4 calls:

145.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
130.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
20.0ms	(pow (+ x 1.0) (/ 1.0 n))
21.0ms	(pow (+ x 1.0) (/ 1.0 n))

series1.2s

Counts

4 → 12

Calls

4 calls:

382.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
378.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
200.0ms	(pow (+ x 1.0) (/ 1.0 n))
194.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify1.6s

Counts

252 → 252

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	234	8924
1	604	6936
2	2234	5462
done	5001	4754

prune1.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 22.4b

regimes363.0ms

Accuracy

85.1% (1.3b remaining)

Error of 21.7b against oracle of 20.4b and baseline of 29.2b

bsearch2.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	132
1	60	132
done	60	132

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.0s	3173×	body	1280	valid
973.0ms	1586×	body	640	valid
945.0ms	1211×	body	10240	exit
872.0ms	5208×	body	80	nan
678.0ms	4838×	body	80	valid
525.0ms	616×	body	1280	nan
487.0ms	619×	body	640	nan
355.0ms	827×	body	320	valid
167.0ms	350×	body	320	nan
97.0ms	424×	body	160	valid
44.0ms	202×	body	160	nan