Details

sample158.0ms

Algorithm

intervals

Results

48.0ms	101×	body	1280	valid
22.0ms	48×	body	10240	exit
20.0ms	57×	body	640	valid
10.0ms	172×	body	80	valid
10.0ms	23×	body	1280	nan
7.0ms	24×	body	640	nan
7.0ms	193×	body	80	nan
7.0ms	29×	body	320	valid
2.0ms	11×	body	320	nan
1.0ms	10×	body	160	valid
1.0ms	8×	body	160	nan

simplify2.1s

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

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:

10.0ms	(pow (+ x 1.0) (/ 1.0 n))
4.0ms	(pow x (/ 1.0 n))
95.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series501.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(pow (+ x 1.0) (/ 1.0 n))
65.0ms	(pow x (/ 1.0 n))
286.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify955.0ms

Counts

158 → 158

Iterations

Useful iterations: done (949.0ms)

Iter	Nodes	Cost
0	271	4785
1	647	3566
2	1620	3020
done	5000	2646

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 20.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (pow (+ x 1.0) (/ 1.0 n))))
1.0b	(pow (+ x 1.0) (/ 1.0 n))
1.0b	(pow x (/ 1.0 n))
2.7b	(- (log (exp (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

rewrite321.0ms

Algorithm

rewrite-expression-head

Rules

95×	`*-un-lft-identity`
84×	`prod-diff`
82×	`log-pow`
80×	`unpow-prod-down`
77×	`add-sqr-sqrt`
72×	`add-cube-cbrt` `exp-prod`
26×	`pow-unpow`
24×	`sqr-pow`
18×	`times-frac`
16×	`pow1`
12×	`fma-neg`
10×	`distribute-lft-out`
6×	`add-exp-log` `log-prod`
5×	`add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`associate--l+` `difference-of-squares`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 199

Calls

4 calls:

29.0ms	(log (exp (pow (+ x 1.0) (/ 1.0 n))))
10.0ms	(pow (+ x 1.0) (/ 1.0 n))
4.0ms	(pow x (/ 1.0 n))
267.0ms	(- (log (exp (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

series674.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(log (exp (pow (+ x 1.0) (/ 1.0 n))))
159.0ms	(pow (+ x 1.0) (/ 1.0 n))
67.0ms	(pow x (/ 1.0 n))
294.0ms	(- (log (exp (pow (+ x 1.0) (/ 1.0 n)))) (pow x (/ 1.0 n)))

simplify1.0s

Counts

211 → 211

Iterations

Useful iterations: done (996.0ms)

Iter	Nodes	Cost
0	313	6862
1	709	4814
2	1646	3988
done	5000	3379

prune434.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 19.9b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow x (/ 1.0 n))
1.1b	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
1.1b	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
34.2b	(- (+ (* 2 (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
42×	`prod-diff`
39×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
22×	`unpow-prod-down`
16×	`distribute-rgt-out`
13×	`pow1` `pow-unpow`
9×	`times-frac`
8×	`distribute-lft1-in` `log-pow` `add-log-exp` `sqr-pow`
6×	`cbrt-prod` `fma-neg`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`pow1/3` `diff-log`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `pow-exp` `associate--l+` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 123

Calls

4 calls:

4.0ms	(pow x (/ 1.0 n))
28.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
28.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
80.0ms	(- (+ (* 2 (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

series1.3s

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow x (/ 1.0 n))
388.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
372.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
452.0ms	(- (+ (* 2 (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

simplify1.0s

Counts

135 → 135

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	256	4939
1	616	3341
2	1686	2848
done	5000	2433

prune406.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 19.9b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (+ x 1.0) (/ 1.0 n))
1.0b	(pow x (/ 1.0 n))
1.1b	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
34.0b	(- (+ (* 2 (log (pow (exp (pow (+ x 1.0) (/ 1.0 n))) 1/3))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`add-cube-cbrt`
26×	`pow-unpow`
21×	`prod-diff`
18×	`times-frac`
17×	`unpow-prod-down`
8×	`add-log-exp`
6×	`pow1` `add-exp-log` `sqr-pow`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`cbrt-prod` `fma-neg` `difference-of-squares`
2×	`pow-to-exp` `pow-pow` `diff-log` `pow-exp` `div-inv`
1×	`sub-neg` `flip3--` `pow1/3` `associate--l+` `sum-log` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 116

Calls

4 calls:

11.0ms	(pow (+ x 1.0) (/ 1.0 n))
4.0ms	(pow x (/ 1.0 n))
28.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
75.0ms	(- (+ (* 2 (log (pow (exp (pow (+ x 1.0) (/ 1.0 n))) 1/3))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

158.0ms	(pow (+ x 1.0) (/ 1.0 n))
70.0ms	(pow x (/ 1.0 n))
389.0ms	(cbrt (exp (pow (+ x 1.0) (/ 1.0 n))))
463.0ms	(- (+ (* 2 (log (pow (exp (pow (+ x 1.0) (/ 1.0 n))) 1/3))) (log (cbrt (exp (pow (+ x 1.0) (/ 1.0 n)))))) (pow x (/ 1.0 n)))

simplify1.2s

Counts

128 → 128

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	278	3923
1	679	3331
2	1867	2237
done	5000	1923

prune456.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.8b

regimes173.0ms

Accuracy

91% (1.6b remaining)

Error of 22.1b against oracle of 20.5b and baseline of 38.2b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	94
1	50	94
done	50	94

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.5s	3099×	body	1280	valid
561.0ms	1589×	body	640	valid
454.0ms	1156×	body	10240	exit
327.0ms	660×	body	1280	nan
261.0ms	4859×	body	80	valid
224.0ms	655×	body	640	nan
201.0ms	5201×	body	80	nan
200.0ms	853×	body	320	valid
65.0ms	335×	body	320	nan
64.0ms	454×	body	160	valid
22.0ms	204×	body	160	nan