Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	236×	body	80	valid
1.0ms	8×	body	640	valid
0.0ms	5×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify52.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify2.3s

Counts

15 → 15

Iterations

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

prune49.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 3.0 (/ 8.0 y)))
0.3b	(/ 3.0 (/ 8.0 y))

rewrite445.0ms

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:

424.0ms	(- x (/ 3.0 (/ 8.0 y)))
15.0ms	(/ 3.0 (/ 8.0 y))

series75.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- x (/ 3.0 (/ 8.0 y)))
28.0ms	(/ 3.0 (/ 8.0 y))

simplify871.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1822
1	444
0	180

prune398.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b

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

0.3b

(* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* y (/ (cbrt 3.0) (cbrt 8.0))))

0.3b

(* y (/ (cbrt 3.0) (cbrt 8.0)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log`
43×	`add-sqr-sqrt`
41×	`associate-r`
40×	`cbrt-prod` `times-frac`
34×	`prod-exp` `cbrt-unprod`
31×	`add-cbrt-cube`
29×	`*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
11×	`cbrt-undiv` `div-exp`
9×	`pow-prod-down`
5×	`add-log-exp` `unswap-sqr`
4×	`associate-l` `associate-*r/`
3×	`associate-*l/`
2×	`*-commutative`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `div-inv` `flip--`

Counts

3 → 115

Calls

3 calls:

5.0ms

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

144.0ms

(* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* y (/ (cbrt 3.0) (cbrt 8.0))))

35.0ms

(* y (/ (cbrt 3.0) (cbrt 8.0)))

series706.0ms

Counts

3 → 9

Calls

3 calls:

244.0ms

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

320.0ms

(* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* y (/ (cbrt 3.0) (cbrt 8.0))))

142.0ms

(* y (/ (cbrt 3.0) (cbrt 8.0)))

simplify1.5s

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	2787
1	625
0	220

prune551.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0)))))
0.1b	(* (cbrt (sqrt 3.0)) y)
0.3b	(* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0)))
0.3b	(* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0))))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

120×	`add-exp-log`
71×	`cbrt-prod` `prod-exp` `cbrt-unprod`
62×	`associate-r`
54×	`times-frac` `add-cbrt-cube`
51×	`add-sqr-sqrt`
45×	`*-un-lft-identity` `add-cube-cbrt`
32×	`pow1`
22×	`sqrt-prod`
20×	`cbrt-undiv` `div-exp`
19×	`pow-prod-down`
11×	`associate-l`
6×	`add-log-exp`
4×	`associate-*r/`
3×	`associate-l/` `-commutative` `unswap-sqr`
1×	`frac-times` `sub-neg` `flip3--` `diff-log` `div-inv` `flip--`

Counts

4 → 175

Calls

4 calls:

10.0ms	(- x (* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0)))))
22.0ms	(* (cbrt (sqrt 3.0)) y)
49.0ms	(* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0)))
232.0ms	(* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0))))

series2.7s

Counts

4 → 12

Calls

4 calls:

691.0ms	(- x (* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0)))))
565.0ms	(* (cbrt (sqrt 3.0)) y)
639.0ms	(* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0)))
851.0ms	(* (* (/ (cbrt 3.0) (* (cbrt 8.0) (cbrt 8.0))) (cbrt 3.0)) (* (* (cbrt (sqrt 3.0)) y) (/ (cbrt (sqrt 3.0)) (cbrt 8.0))))

simplify583.0ms

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
1	971
0	297

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes286.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample738.0ms

Algorithm

intervals

Results

361.0ms	7404×	body	80	valid
36.0ms	214×	body	1280	valid
22.0ms	151×	body	640	valid
20.0ms	97×	body	2560	valid
8.0ms	84×	body	320	valid
3.0ms	50×	body	160	valid