Details

sample286.0ms

Algorithm

intervals

Results

94.0ms	101×	body	1280	valid
38.0ms	39×	body	10240	exit
30.0ms	162×	body	80	valid
24.0ms	37×	body	640	valid
21.0ms	43×	body	320	valid
17.0ms	168×	body	80	nan
15.0ms	18×	body	1280	nan
13.0ms	20×	body	640	nan
5.0ms	11×	body	320	nan
4.0ms	14×	body	160	valid
1.0ms	5×	body	160	nan

simplify1.8s

Counts

1 → 1

Iterations

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (+ x 1) (/ 1 n))
0.0b	(pow x (/ 1 n))
2.1b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite89.0ms

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:

7.0ms	(pow (+ x 1) (/ 1 n))
3.0ms	(pow x (/ 1 n))
73.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series431.0ms

Counts

3 → 9

Calls

3 calls:

104.0ms	(pow (+ x 1) (/ 1 n))
64.0ms	(pow x (/ 1 n))
263.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify6.8s

Counts

161 → 161

Iterations

Iter	Nodes
3	5069
2	1624
1	645
0	257

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 18.8b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
0.3b	(cbrt (+ x 1))
3.3b	(fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`fma-udef`

Counts

4 → 62

Calls

4 calls:

6.0ms	(cbrt (+ x 1))
6.0ms	(cbrt (+ x 1))
13.0ms	(cbrt (+ x 1))
1.0ms	(fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n))))

series618.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (+ x 1))
49.0ms	(cbrt (+ x 1))
40.0ms	(cbrt (+ x 1))
460.0ms	(fma (pow (* (cbrt (+ x 1)) (cbrt (+ x 1))) (/ 1 n)) (pow (cbrt (+ x 1)) (/ 1 n)) (- (pow x (/ 1 n))))

simplify2.5s

Counts

74 → 74

Iterations

Iter	Nodes
3	4664
2	1159
1	376
0	156

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (log1p x) n))
0.0b	(pow x (/ 1 n))
0.1b	(/ (log1p x) n)
2.6b	(- (exp (/ (log1p x) n)) (pow x (/ 1 n)))

rewrite51.0ms

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:

9.0ms	(exp (/ (log1p x) n))
11.0ms	(pow x (/ 1 n))
8.0ms	(/ (log1p x) n)
20.0ms	(- (exp (/ (log1p x) n)) (pow x (/ 1 n)))

series633.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(exp (/ (log1p x) n))
85.0ms	(pow x (/ 1 n))
101.0ms	(/ (log1p x) n)
308.0ms	(- (exp (/ (log1p x) n)) (pow x (/ 1 n)))

simplify10.2s

Counts

139 → 139

Iterations

Iter	Nodes
3	4716
2	1549
1	610
0	264

prune2.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 18.5b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow x (/ 1 n))
0.1b	(/ (log1p x) n)
2.6b	(- (exp (posit16->real (real->posit16 (/ (log1p x) n)))) (pow x (/ 1 n)))
51.7b	(posit16->real (real->posit16 (/ (log1p x) n)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 114

Calls

4 calls:

4.0ms	(pow x (/ 1 n))
4.0ms	(/ (log1p x) n)
11.0ms	(- (exp (posit16->real (real->posit16 (/ (log1p x) n)))) (pow x (/ 1 n)))
0.0ms	(posit16->real (real->posit16 (/ (log1p x) n)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(pow x (/ 1 n))
99.0ms	(/ (log1p x) n)
272.0ms	(- (exp (posit16->real (real->posit16 (/ (log1p x) n)))) (pow x (/ 1 n)))
76.0ms	(posit16->real (real->posit16 (/ (log1p x) n)))

simplify11.3s

Counts

126 → 126

Iterations

Iter	Nodes
3	5034
2	1624
1	602
0	253

prune2.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 18.5b

regimes456.0ms

Accuracy

75.1% (3.0b remaining)

Error of 20.1b against oracle of 17.2b and baseline of 29.1b

bsearch1.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	52
1	52
0	45

end0.0ms

sample10.4s

Algorithm

intervals

Results

3.2s	3199×	body	1280	valid
1.7s	1542×	body	640	valid
1.6s	1180×	body	10240	exit
723.0ms	637×	body	1280	nan
700.0ms	4775×	body	80	valid
597.0ms	827×	body	320	valid
592.0ms	4878×	body	80	nan
501.0ms	613×	body	640	nan
147.0ms	333×	body	320	nan
137.0ms	438×	body	160	valid
54.0ms	193×	body	160	nan