Details

sample356.0ms

Algorithm

intervals

Results

110.0ms	106×	body	1280	valid
53.0ms	25×	body	640	nan
45.0ms	33×	body	10240	exit
41.0ms	50×	body	640	valid
24.0ms	20×	body	1280	nan
22.0ms	142×	body	80	valid
15.0ms	28×	body	320	valid
14.0ms	121×	body	80	nan
5.0ms	13×	body	160	valid
3.0ms	7×	body	320	nan
1.0ms	4×	body	160	nan

simplify1.5s

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize29.0ms

Local error

Found 3 expressions with local error:

2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0b	(pow (+ x 1) (/ 1 n))
0.2b	(pow x (/ 1 n))

rewrite91.0ms

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

76.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
7.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))

series374.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

234.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
84.0ms	(pow (+ x 1) (/ 1 n))
56.0ms	(pow x (/ 1 n))

simplify363.0ms

Counts: 237 → 161

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 18.9b

localize26.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
2.4b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
1.0b	(pow (+ x 1) (/ 1 n))

rewrite281.0ms

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

103.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
79.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
72.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
13.0ms	(pow (+ x 1) (/ 1 n))

series771.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

250.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
221.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
202.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
98.0ms	(pow (+ x 1) (/ 1 n))

simplify745.0ms

Counts: 522 → 316

prune4.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 18.9b

localize78.0ms

Local error

Found 4 expressions with local error:

7.6b	(* n (* x x))
5.0b	(/ (/ (- (log x)) x) (* n n))
2.8b	(- (/ 1 (* n x)) (/ (/ (- (log x)) x) (* n n)))
0.6b	(/ 1 (* n x))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

787×	`times-frac`
310×	`add-sqr-sqrt`
308×	`prod-diff`
307×	`*-un-lft-identity`
302×	`add-cube-cbrt`
108×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
66×	`pow1`
64×	`div-inv`
54×	`log-pow`
43×	`associate-/l*`
32×	`add-exp-log`
27×	`neg-mul-1`
26×	`add-cbrt-cube`
10×	`div-exp`
8×	`cbrt-undiv` `prod-exp`
7×	`fma-neg`
6×	`cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `div-sub` `pow-prod-down` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`neg-sub0` `rec-exp` `clear-num` `associate-/r*` `frac-2neg` `1-exp` `distribute-frac-neg` `pow-flip`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `frac-sub` `flip--` `inv-pow` `associate--r-` `unswap-sqr` `associate-/l/`

Counts

4 → 496

Calls

4 calls:

Slowest

43.0ms	(- (/ 1 (* n x)) (/ (/ (- (log x)) x) (* n n)))
25.0ms	(* n (* x x))
17.0ms	(/ (/ (- (log x)) x) (* n n))
17.0ms	(/ 1 (* n x))

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(/ (/ (- (log x)) x) (* n n))
86.0ms	(- (/ 1 (* n x)) (/ (/ (- (log x)) x) (* n n)))
32.0ms	(* n (* x x))
11.0ms	(/ 1 (* n x))

simplify1.2s

Counts: 867 → 508

prune7.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.3b

localize42.0ms

Local error

Found 4 expressions with local error:

7.6b	(* n (* x x))
5.0b	(/ (/ (- (log x)) x) (* n n))
2.8b	(- (/ (/ 1 n) x) (/ (/ (- (log x)) x) (* n n)))
0.3b	(/ 1/2 (* n (* x x)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

6381×	`times-frac`
2656×	`add-sqr-sqrt`
2621×	`*-un-lft-identity`
2615×	`add-cube-cbrt`
1892×	`prod-diff`
540×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
279×	`pow1`
271×	`div-inv`
270×	`log-pow`
135×	`neg-mul-1`
43×	`fma-neg` `associate-/l*`
30×	`add-cbrt-cube` `add-exp-log`
12×	`difference-of-squares`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`expm1-log1p-u` `div-sub` `insert-posit16` `log1p-expm1-u`
3×	`associate-l` `pow-prod-down`
2×	`neg-sub0` `clear-num` `associate-/r*` `frac-2neg` `distribute-frac-neg` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `frac-sub` `flip--` `associate--r-` `unswap-sqr` `associate-/l/`

Counts

4 → 2119

Calls

4 calls:

Slowest

49.0ms	(- (/ (/ 1 n) x) (/ (/ (- (log x)) x) (* n n)))
29.0ms	(/ (/ (- (log x)) x) (* n n))
26.0ms	(* n (* x x))
12.0ms	(/ 1/2 (* n (* x x)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

360.0ms	(* n (* x x))
130.0ms	(/ (/ (- (log x)) x) (* n n))
81.0ms	(- (/ (/ 1 n) x) (/ (/ (- (log x)) x) (* n n)))
27.0ms	(/ 1/2 (* n (* x x)))

simplify4.8s

Counts: 4084 → 2131

prune34.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 18.3b

regimes416.0ms

Accuracy

79% (1.9b remaining)

Error of 22.2b against oracle of 20.3b and baseline of 29.3b

bsearch10.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.2s	3264×	body	1280	valid
1.2s	1590×	body	640	valid
1.2s	1142×	body	10240	exit
1.0s	660×	body	1280	nan
748.0ms	4618×	body	80	valid
630.0ms	665×	body	640	nan
582.0ms	408×	body	320	nan
496.0ms	4993×	body	80	nan
433.0ms	877×	body	320	valid
122.0ms	427×	body	160	valid
49.0ms	179×	body	160	nan