Details

sample356.0ms

Algorithm

intervals

Results

107.0ms	99×	body	1280	valid
89.0ms	37×	body	10240	exit
28.0ms	43×	body	640	valid
25.0ms	30×	body	1280	nan
23.0ms	156×	body	80	nan
19.0ms	140×	body	80	valid
16.0ms	22×	body	640	nan
14.0ms	29×	body	320	valid
6.0ms	13×	body	320	nan
5.0ms	16×	body	160	valid
2.0ms	6×	body	160	nan

simplify1.5s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize26.0ms

Local error

Found 3 expressions with local error:

2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(pow (+ x 1) (/ 1 n))
1.0b	(pow x (/ 1 n))

rewrite108.0ms

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` `insert-posit16` `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 → 152

Calls

3 calls:

Slowest

83.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
15.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series399.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

260.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
83.0ms	(pow (+ x 1) (/ 1 n))
56.0ms	(pow x (/ 1 n))

simplify938.0ms

Counts: 161 → 161

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 17.9b

localize33.0ms

Local error

Found 4 expressions with local error:

2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(pow (+ x 1) (/ 1 n))

rewrite633.0ms

Algorithm

rewrite-expression-head

Rules

202×	`unpow-prod-down`
179×	`*-un-lft-identity`
168×	`prod-diff`
144×	`add-sqr-sqrt`
108×	`add-cube-cbrt`
67×	`sqr-pow`
28×	`distribute-lft-out`
27×	`difference-of-squares`
24×	`fma-neg`
13×	`pow-unpow`
10×	`add-log-exp`
9×	`times-frac` `distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 304

Calls

4 calls:

Slowest

461.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
87.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
71.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))

series996.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

317.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
282.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
272.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
124.0ms	(pow (+ x 1) (/ 1 n))

simplify2.0s

Counts: 316 → 316

prune5.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 17.9b

localize154.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (pow (+ 1 x) (/ 1 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1 n)) (pow (cbrt x) (/ 1 n))))
2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.5b	(pow (+ x 1) (/ 1 n))

rewrite295.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
132×	`*-un-lft-identity`
120×	`prod-diff`
104×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
47×	`sqr-pow`
24×	`fma-neg`
21×	`distribute-lft-out`
18×	`difference-of-squares`
13×	`pow-unpow`
10×	`add-log-exp`
9×	`times-frac`
6×	`distribute-lft-out--`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 244

Calls

4 calls:

Slowest

101.0ms	(- (pow (+ 1 x) (/ 1 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1 n)) (pow (cbrt x) (/ 1 n))))
92.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
87.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
8.0ms	(pow (+ x 1) (/ 1 n))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

492.0ms	(- (pow (+ 1 x) (/ 1 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1 n)) (pow (cbrt x) (/ 1 n))))
277.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
252.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
95.0ms	(pow (+ x 1) (/ 1 n))

simplify1.8s

Counts: 256 → 256

prune5.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 17.9b

localize128.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (pow (+ 1 x) (/ 1 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1 n)) (pow (cbrt x) (/ 1 n))))
2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.0b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.9b	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

rewrite425.0ms

Algorithm

rewrite-expression-head

Rules

202×	`unpow-prod-down`
176×	`prod-diff`
175×	`*-un-lft-identity`
140×	`add-sqr-sqrt`
104×	`add-cube-cbrt`
67×	`sqr-pow`
61×	`log-prod`
58×	`exp-sum`
28×	`distribute-lft-out`
27×	`difference-of-squares`
24×	`fma-neg`
16×	`log-pow`
15×	`exp-prod`
10×	`add-log-exp`
9×	`distribute-lft-out--`
5×	`pow1`
4×	`expm1-log1p-u` `sub-neg` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`flip3--` `diff-log` `flip--`
1×	`log-div` `exp-diff` `rem-log-exp`

Counts

4 → 302

Calls

4 calls:

Slowest

146.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))
108.0ms	(- (pow (+ 1 x) (/ 1 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1 n)) (pow (cbrt x) (/ 1 n))))
90.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
75.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

461.0ms	(- (pow (+ 1 x) (/ 1 n)) (* (pow (* (cbrt x) (cbrt x)) (/ 1 n)) (pow (cbrt x) (/ 1 n))))
285.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
251.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
239.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))

simplify1.9s

Counts: 314 → 314

prune8.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 17.8b

regimes631.0ms

Accuracy

89% (1.3b remaining)

Error of 19.5b against oracle of 18.2b and baseline of 29.8b

bsearch8.0ms

end0.0ms

sample11.1s

Algorithm

intervals

Results

3.7s	3181×	body	1280	valid
1.7s	1152×	body	10240	exit
1.2s	1561×	body	640	valid
1.1s	4713×	body	80	valid
698.0ms	630×	body	1280	nan
626.0ms	5013×	body	80	nan
607.0ms	677×	body	640	nan
497.0ms	869×	body	320	valid
216.0ms	388×	body	320	nan
136.0ms	455×	body	160	valid
101.0ms	176×	body	160	nan