Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	237×	body	80	valid
2.0ms	10×	body	1280	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid

simplify72.0ms

Counts

1 → 1

Iterations

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

prune17.0ms

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))

rewrite9.0ms

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:

9.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify2.7s

Counts

15 → 15

Iterations

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

prune49.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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:

29.0ms	(- x (/ 3.0 (/ 8.0 y)))
7.0ms	(/ 3.0 (/ 8.0 y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- x (/ 3.0 (/ 8.0 y)))
17.0ms	(/ 3.0 (/ 8.0 y))

simplify952.0ms

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1822
1	444
0	180

prune412.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (* (/ (cbrt 3.0) (cbrt (/ 8.0 y))) (cbrt 3.0)) (cbrt (/ 8.0 y))) (/ (cbrt 3.0) (cbrt (/ 8.0 y))))
0.6b	(cbrt (/ 8.0 y))
0.6b	(cbrt (/ 8.0 y))
0.6b	(cbrt (/ 8.0 y))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
185×	`cbrt-prod`
137×	`add-sqr-sqrt`
115×	`*-un-lft-identity` `add-cube-cbrt`
101×	`associate-r`
36×	`add-exp-log`
21×	`associate-l`
14×	`add-cbrt-cube`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
7×	`unswap-sqr`
6×	`pow1`
5×	`cbrt-div`
4×	`add-log-exp`
3×	`pow1/3`
2×	`associate-/r/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 223

Calls

4 calls:

188.0ms	(* (/ (* (/ (cbrt 3.0) (cbrt (/ 8.0 y))) (cbrt 3.0)) (cbrt (/ 8.0 y))) (/ (cbrt 3.0) (cbrt (/ 8.0 y))))
3.0ms	(cbrt (/ 8.0 y))
4.0ms	(cbrt (/ 8.0 y))
4.0ms	(cbrt (/ 8.0 y))

series1.2s

Counts

4 → 12

Calls

4 calls:

313.0ms	(* (/ (* (/ (cbrt 3.0) (cbrt (/ 8.0 y))) (cbrt 3.0)) (cbrt (/ 8.0 y))) (/ (cbrt 3.0) (cbrt (/ 8.0 y))))
292.0ms	(cbrt (/ 8.0 y))
280.0ms	(cbrt (/ 8.0 y))
325.0ms	(cbrt (/ 8.0 y))

simplify755.0ms

Counts

235 → 235

Iterations

Iter	Nodes
done	5001
1	1144
0	365

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (* (sqrt 3.0) (* (cbrt y) (cbrt y))) (sqrt 8.0))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
9×	`cbrt-prod`
6×	`associate-/r*` `times-frac` `sqrt-prod`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp` `prod-exp` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`

Counts

4 → 62

Calls

4 calls:

53.0ms	(/ (* (sqrt 3.0) (* (cbrt y) (cbrt y))) (sqrt 8.0))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

474.0ms	(/ (* (sqrt 3.0) (* (cbrt y) (cbrt y))) (sqrt 8.0))
335.0ms	(cbrt y)
252.0ms	(cbrt y)
323.0ms	(cbrt y)

simplify980.0ms

Counts

74 → 74

Iterations

Iter	Nodes
done	5001
2	1332
1	250
0	97

prune427.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes237.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	8
1	8
0	7

end0.0ms

sample759.0ms

Algorithm

intervals

Results

350.0ms	7371×	body	80	valid
62.0ms	84×	body	2560	valid
31.0ms	210×	body	1280	valid
23.0ms	182×	body	640	valid
8.0ms	98×	body	320	valid
4.0ms	55×	body	160	valid