Details

sample356.0ms

Algorithm

intervals

Results

92.0ms	95×	body	1280	valid
60.0ms	42×	body	10240	exit
53.0ms	21×	body	1280	nan
35.0ms	50×	body	640	valid
27.0ms	168×	body	80	valid
19.0ms	184×	body	80	nan
16.0ms	23×	body	640	nan
15.0ms	30×	body	320	valid
7.0ms	16×	body	320	nan
6.0ms	22×	body	160	valid
3.0ms	9×	body	160	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2679
5	667
4	231
3	87
2	35
1	17
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.8b	(pow x (/ 1 n))
1.2b	(pow (+ x 1) (/ 1 n))
2.7b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite117.0ms

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:

5.0ms	(pow x (/ 1 n))
13.0ms	(pow (+ x 1) (/ 1 n))
94.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series484.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(pow x (/ 1 n))
117.0ms	(pow (+ x 1) (/ 1 n))
282.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify7.1s

Counts

161 → 161

Iterations

Iter	Nodes
3	5080
2	1635
1	651
0	257

prune1.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 15.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (log1p x) n))
0.1b	(/ (log1p x) n)
0.8b	(pow x (/ 1 n))
2.9b	(- (exp (/ (log1p x) n)) (pow x (/ 1 n)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
41×	`add-cube-cbrt`
27×	`times-frac`
21×	`prod-diff`
13×	`pow-unpow` `exp-prod` `unpow-prod-down`
7×	`add-exp-log` `add-log-exp`
6×	`add-cbrt-cube`
5×	`pow1` `sqr-pow`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-neg` `div-inv` `associate-/l` `difference-of-squares`
1×	`pow-to-exp` `cbrt-undiv` `clear-num` `sub-neg` `pow-pow` `frac-2neg` `flip3--` `diff-log` `div-exp` `pow-exp` `flip--` `distribute-lft-out--` `rem-exp-log`

Counts

4 → 127

Calls

4 calls:

4.0ms	(exp (/ (log1p x) n))
4.0ms	(/ (log1p x) n)
3.0ms	(pow x (/ 1 n))
31.0ms	(- (exp (/ (log1p x) n)) (pow x (/ 1 n)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(exp (/ (log1p x) n))
76.0ms	(/ (log1p x) n)
84.0ms	(pow x (/ 1 n))
250.0ms	(- (exp (/ (log1p x) n)) (pow x (/ 1 n)))

simplify10.9s

Counts

139 → 139

Iterations

Iter	Nodes
3	4761
2	1588
1	618
0	264

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 15.3b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow E (/ (log1p x) n))
0.1b	(/ (log1p x) n)
0.8b	(pow x (/ 1 n))
2.9b	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
57×	`unpow-prod-down`
49×	`prod-diff`
27×	`times-frac`
26×	`pow-unpow`
23×	`sqr-pow`
9×	`difference-of-squares`
8×	`add-exp-log`
7×	`fma-neg`
6×	`pow1` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `pow-exp` `div-inv` `associate-/l`
2×	`pow-to-exp` `pow-pow`
1×	`cbrt-undiv` `e-exp-1` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `flip--` `distribute-lft-out--`

Counts

4 → 172

Calls

4 calls:

3.0ms	(pow E (/ (log1p x) n))
4.0ms	(/ (log1p x) n)
3.0ms	(pow x (/ 1 n))
17.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(pow E (/ (log1p x) n))
68.0ms	(/ (log1p x) n)
92.0ms	(pow x (/ 1 n))
303.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))

simplify1.2s

Counts

184 → 184

Iterations

Iter	Nodes
2	2095
1	788
0	318

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 15.3b

localize51.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow x (/ 1 n))
2.9b	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))
2.9b	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))
2.9b	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

156×	`unpow-prod-down`
147×	`prod-diff`
138×	`add-sqr-sqrt`
108×	`*-un-lft-identity`
102×	`add-cube-cbrt`
64×	`sqr-pow`
27×	`difference-of-squares`
21×	`fma-neg`
13×	`pow-unpow`
10×	`add-log-exp`
9×	`times-frac`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`
1×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv`

Counts

4 → 273

Calls

4 calls:

3.0ms	(pow x (/ 1 n))
18.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))
22.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))
14.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))

series918.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(pow x (/ 1 n))
281.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))
267.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))
293.0ms	(- (pow E (/ (log1p x) n)) (pow x (/ 1 n)))

simplify5.8s

Counts

285 → 285

Iterations

Iter	Nodes
3	4729
2	1421
1	568
0	238

prune4.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 15.3b

regimes371.0ms

Accuracy

87.7% (1.5b remaining)

Error of 18.9b against oracle of 17.4b and baseline of 29.7b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	34
1	34
0	30

end0.0ms

sample11.0s

Algorithm

intervals

Results

3.9s	3152×	body	1280	valid
1.8s	1198×	body	10240	exit
1.3s	1591×	body	640	valid
837.0ms	4775×	body	80	valid
690.0ms	639×	body	1280	nan
601.0ms	5145×	body	80	nan
502.0ms	624×	body	640	nan
459.0ms	874×	body	320	valid
254.0ms	418×	body	320	nan
135.0ms	428×	body	160	valid
95.0ms	175×	body	160	nan