Details

sample304.0ms

Algorithm

intervals

Results

116.0ms	104×	body	1280	valid
41.0ms	36×	body	10240	exit
36.0ms	50×	body	640	valid
21.0ms	140×	body	80	valid
17.0ms	22×	body	1280	nan
15.0ms	150×	body	80	nan
14.0ms	34×	body	320	valid
12.0ms	17×	body	640	nan
4.0ms	10×	body	320	nan
4.0ms	9×	body	160	valid
2.0ms	8×	body	160	nan

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
6	2506
5	667
4	220
3	84
2	36
1	19
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize33.0ms

Local error

Found 3 expressions with local error:

0.3b	(pow x (/ 1 n))
0.7b	(pow (+ x 1) (/ 1 n))
2.1b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 82

Calls

3 calls:

5.0ms	(pow x (/ 1 n))
13.0ms	(pow (+ x 1) (/ 1 n))
95.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

series475.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(pow x (/ 1 n))
118.0ms	(pow (+ x 1) (/ 1 n))
275.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

simplify1.2s

Counts

91 → 91

Iterations

Iter	Nodes
3	3497
2	1130
1	460
0	176

prune989.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 20.1b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow x (/ 1 n))
0.3b	(pow x (/ 1 n))
0.7b	(pow (+ x 1) (/ 1 n))
4.5b	(- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

39×	`pow-unpow`
30×	`add-sqr-sqrt` `*-un-lft-identity`
28×	`add-cube-cbrt`
27×	`times-frac`
11×	`unpow-prod-down`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`add-cbrt-cube` `insert-posit16` `sqr-pow`
3×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

3.0ms	(pow x (/ 1 n))
3.0ms	(pow x (/ 1 n))
7.0ms	(pow (+ x 1) (/ 1 n))
91.0ms	(- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))

series557.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(pow x (/ 1 n))
69.0ms	(pow x (/ 1 n))
143.0ms	(pow (+ x 1) (/ 1 n))
275.0ms	(- (pow (+ x 1) (/ 1 n)) (* (sqrt (pow x (/ 1 n))) (sqrt (pow x (/ 1 n)))))

simplify1.2s

Counts

113 → 113

Iterations

Iter	Nodes
3	3628
2	1190
1	455
0	167

prune1.9s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 20.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (log x) n)
0.7b	(pow (+ 1 x) (/ 1 n))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
2.1b	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))

rewrite217.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
23×	`add-cube-cbrt`
21×	`times-frac`
13×	`pow-unpow`
12×	`log-pow`
10×	`pow1`
7×	`exp-prod` `add-exp-log`
6×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
5×	`log-prod`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r*` `sqr-pow`
2×	`sub-neg` `exp-sum` `div-inv` `distribute-lft-out--`
1×	`pow-to-exp` `cbrt-undiv` `log-div` `clear-num` `pow-pow` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `pow-exp` `flip--` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

6.0ms	(/ (log x) n)
6.0ms	(pow (+ 1 x) (/ 1 n))
52.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
150.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))

series632.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (log x) n)
96.0ms	(pow (+ 1 x) (/ 1 n))
193.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
270.0ms	(log (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))))

simplify1.0s

Counts

113 → 113

Iterations

Iter	Nodes
3	2846
2	1103
1	450
0	194

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.8b

localize45.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
2.1b	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
2.1b	(log (sqrt (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n))))))
2.1b	(log (sqrt (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n))))))

rewrite477.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
20×	`log-pow`
18×	`*-un-lft-identity`
16×	`log-prod` `sqrt-pow1`
14×	`exp-prod`
12×	`difference-of-squares`
10×	`add-cube-cbrt` `sqrt-prod`
8×	`pow1` `add-log-exp`
6×	`add-exp-log`
4×	`sub-neg` `unpow-prod-down` `add-cbrt-cube` `exp-sum` `insert-posit16` `distribute-lft-out--` `sqr-pow`
2×	`log-div` `flip3--` `pow1/2` `exp-diff` `sqrt-div` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 90

Calls

4 calls:

83.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
86.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
144.0ms	(log (sqrt (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n))))))
163.0ms	(log (sqrt (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n))))))

series1.3s

Counts

4 → 12

Calls

4 calls:

268.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
266.0ms	(- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n)))
389.0ms	(log (sqrt (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n))))))
360.0ms	(log (sqrt (exp (- (pow (+ 1 x) (/ 1 n)) (exp (/ (log x) n))))))

simplify3.2s

Counts

102 → 102

Iterations

Iter	Nodes
4	4923
3	1500
2	542
1	260
0	129

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 19.8b

regimes335.0ms

Accuracy

85.3% (1.4b remaining)

Error of 21.7b against oracle of 20.4b and baseline of 29.6b

bsearch3.0ms

simplify10.0ms

Iterations

Iter	Nodes
2	36
1	36
0	26

end0.0ms

sample10.9s

Algorithm

intervals

Results

3.9s	3156×	body	1280	valid
1.4s	1129×	body	10240	exit
1.3s	1580×	body	640	valid
1.2s	4662×	body	80	valid
669.0ms	627×	body	1280	nan
636.0ms	4869×	body	80	nan
516.0ms	582×	body	640	nan
516.0ms	929×	body	320	valid
206.0ms	449×	body	160	valid
152.0ms	318×	body	320	nan
50.0ms	172×	body	160	nan