Details

sample238.0ms

Algorithm

intervals

Results

87.0ms	91×	body	1280	valid
30.0ms	59×	body	640	valid
23.0ms	49×	body	10240	exit
16.0ms	171×	body	80	valid
14.0ms	21×	body	1280	nan
11.0ms	22×	body	640	nan
8.0ms	153×	body	80	nan
8.0ms	23×	body	320	valid
4.0ms	13×	body	320	nan
3.0ms	13×	body	160	valid
1.0ms	6×	body	160	nan

simplify1.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.3b

localize24.0ms

Local error

Found 3 expressions with local error:

1.0b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
1.1b	(pow x (/ 1.0 n))
2.3b	(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:

132.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
5.0ms	(pow x (/ 1.0 n))
20.0ms	(pow (+ x 1.0) (/ 1.0 n))

series769.0ms

Counts

3 → 9

Calls

3 calls:

464.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))
80.0ms	(pow x (/ 1.0 n))
224.0ms	(pow (+ x 1.0) (/ 1.0 n))

simplify2.1s

Counts

158 → 158

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	271	4785
1	740	3759
2	2821	3021
done	5000	2906

prune727.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.4b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (pow x (/ 1.0 n))))
1.1b	(pow x (/ 1.0 n))
2.3b	(pow (+ x 1.0) (/ 1.0 n))
30.5b	(- (pow (+ x 1.0) (/ 1.0 n)) (expm1 (log1p (pow x (/ 1.0 n)))))

rewrite201.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
26×	`pow-unpow`
24×	`unpow-prod-down` `prod-diff`
18×	`times-frac`
8×	`fma-neg`
7×	`sqr-pow`
6×	`pow1` `add-exp-log` `add-log-exp`
5×	`distribute-lft-out`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `expm1-udef`
1×	`sub-neg` `expm1-log1p` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `associate--r-`

Counts

4 → 121

Calls

4 calls:

0.0ms	(expm1 (log1p (pow x (/ 1.0 n))))
5.0ms	(pow x (/ 1.0 n))
21.0ms	(pow (+ x 1.0) (/ 1.0 n))
170.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (expm1 (log1p (pow x (/ 1.0 n)))))

series887.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(expm1 (log1p (pow x (/ 1.0 n))))
69.0ms	(pow x (/ 1.0 n))
210.0ms	(pow (+ x 1.0) (/ 1.0 n))
485.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (expm1 (log1p (pow x (/ 1.0 n)))))

simplify1.9s

Counts

133 → 133

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	228	3206
1	632	2186
2	2582	1923
done	5001	1639

prune720.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 20.4b

localize37.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow x (/ (/ 1.0 n) 2))
1.0b	(pow x (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

264×	`times-frac`
172×	`pow-unpow`
152×	`*-un-lft-identity`
148×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`div-inv`
14×	`unpow-prod-down`
8×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-to-exp` `pow-pow` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`distribute-lft-out`

Counts

4 → 238

Calls

4 calls:

15.0ms	(pow x (/ (/ 1.0 n) 2))
10.0ms	(pow x (/ (/ 1.0 n) 2))
15.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
21.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series556.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow x (/ (/ 1.0 n) 2))
74.0ms	(pow x (/ (/ 1.0 n) 2))
198.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
204.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.9s

Counts

250 → 250

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	247	3178
1	835	2872
2	3280	2830
done	5001	2818

prune2.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.4b

localize59.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow x (/ (/ 1.0 n) 2))
1.0b	(pow x (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
2.3b	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

264×	`times-frac`
172×	`pow-unpow`
152×	`*-un-lft-identity`
148×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`div-inv`
14×	`unpow-prod-down`
8×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `pow-to-exp` `pow-pow` `pow-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `sqr-pow`
2×	`distribute-lft-out`

Counts

4 → 238

Calls

4 calls:

14.0ms	(pow x (/ (/ 1.0 n) 2))
16.0ms	(pow x (/ (/ 1.0 n) 2))
30.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
28.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

series624.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(pow x (/ (/ 1.0 n) 2))
95.0ms	(pow x (/ (/ 1.0 n) 2))
221.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))
205.0ms	(pow (+ x 1.0) (/ (/ 1.0 n) 2))

simplify1.8s

Counts

250 → 250

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	247	3178
1	835	2872
2	3280	2830
done	5001	2818

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.4b

regimes360.0ms

Accuracy

82.1% (1.4b remaining)

Error of 22.9b against oracle of 21.4b and baseline of 29.5b

bsearch2.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	136
1	62	136
done	62	136

end0.0ms

sample8.8s

Algorithm

intervals

Results

2.4s	3139×	body	1280	valid
919.0ms	1121×	body	10240	exit
912.0ms	1602×	body	640	valid
904.0ms	5012×	body	80	nan
840.0ms	644×	body	640	nan
656.0ms	605×	body	1280	nan
541.0ms	4657×	body	80	valid
416.0ms	914×	body	320	valid
184.0ms	354×	body	320	nan
99.0ms	447×	body	160	valid
34.0ms	177×	body	160	nan