Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	237×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	5×	body	2560	valid
0.0ms	2×	body	640	valid
0.0ms	3×	body	160	valid

simplify53.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	50
6	50
5	47
4	41
3	34
2	25
1	12
0	7

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--`

Counts

1 → 12

Calls

1 calls:

4.0ms

(- x (* (/ 3.0 8.0) y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.1s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
4	4693
3	1034
2	262
1	81
0	32

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.2b	(/ 3.0 (/ 8.0 y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
44×	`add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*` `difference-of-squares`
2×	`pow1`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--`

Counts

2 → 86

Calls

2 calls:

27.0ms	(- x (/ 3.0 (/ 8.0 y)))
11.0ms	(/ 3.0 (/ 8.0 y))

series55.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- x (/ 3.0 (/ 8.0 y)))
21.0ms	(/ 3.0 (/ 8.0 y))

simplify774.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1822
1	444
0	180

prune462.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (/ 8.0 (* 3.0 y))))
0.2b	(/ 1 (/ 8.0 (* 3.0 y)))
0.2b	(/ 8.0 (* 3.0 y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
29×	`add-exp-log`
28×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-inv`
6×	`associate-/l*`
5×	`add-log-exp`
4×	`pow1` `prod-exp`
3×	`rec-exp` `1-exp` `difference-of-squares`
2×	`clear-num` `frac-2neg` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `associate-/r/` `pow-flip` `flip--` `inv-pow`

Counts

3 → 94

Calls

3 calls:

21.0ms	(- x (/ 1 (/ 8.0 (* 3.0 y))))
12.0ms	(/ 1 (/ 8.0 (* 3.0 y)))
11.0ms	(/ 8.0 (* 3.0 y))

series78.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- x (/ 1 (/ 8.0 (* 3.0 y))))
22.0ms	(/ 1 (/ 8.0 (* 3.0 y)))
21.0ms	(/ 8.0 (* 3.0 y))

simplify755.0ms

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1732
1	370
0	152

prune338.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (cbrt 1) (cbrt 1)) (/ (/ 8.0 3.0) y)))
0.2b	(/ (* (cbrt 1) (cbrt 1)) (/ (/ 8.0 3.0) y))
0.4b	(/ (/ 8.0 3.0) y)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

256×	`times-frac`
126×	`add-sqr-sqrt`
117×	`*-un-lft-identity`
115×	`add-cube-cbrt`
46×	`associate-/r*`
29×	`add-exp-log`
23×	`add-cbrt-cube`
15×	`cbrt-undiv` `div-exp`
14×	`div-inv` `associate-/l*`
5×	`add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg`
1×	`sub-neg` `flip3--` `diff-log` `associate-/r/` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

3 → 197

Calls

3 calls:

41.0ms	(- x (/ (* (cbrt 1) (cbrt 1)) (/ (/ 8.0 3.0) y)))
30.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (/ 8.0 3.0) y))
14.0ms	(/ (/ 8.0 3.0) y)

series98.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- x (/ (* (cbrt 1) (cbrt 1)) (/ (/ 8.0 3.0) y)))
23.0ms	(/ (* (cbrt 1) (cbrt 1)) (/ (/ 8.0 3.0) y))
20.0ms	(/ (/ 8.0 3.0) y)

simplify624.0ms

Counts

206 → 206

Iterations

Iter	Nodes
done	5000
1	1006
0	340

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample721.0ms

Algorithm

intervals

Results

323.0ms	7443×	body	80	valid
52.0ms	179×	body	1280	valid
19.0ms	159×	body	640	valid
13.0ms	75×	body	2560	valid
9.0ms	98×	body	320	valid
3.0ms	46×	body	160	valid