Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

365×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
2	20	9
3	41	9
4	59	9
5	63	9
done	63	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

11.0ms	(+ (* x y) z)
46.0ms	(* (+ (* x y) z) y)

series80.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x y) z)
49.0ms	(* (+ (* x y) z) y)

simplify372.0ms

Counts

37 → 37

Iterations

Useful iterations: done (371.0ms)

Iter	Nodes	Cost
0	57	361
1	148	355
2	706	319
done	5000	311

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
5.8b	(cbrt (* (+ (* x y) z) y))
5.8b	(cbrt (* (+ (* x y) z) y))
5.8b	(cbrt (* (+ (* x y) z) y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

55.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
12.0ms	(cbrt (* (+ (* x y) z) y))
11.0ms	(cbrt (* (+ (* x y) z) y))
13.0ms	(cbrt (* (+ (* x y) z) y))

series654.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y)))
172.0ms	(cbrt (* (+ (* x y) z) y))
153.0ms	(cbrt (* (+ (* x y) z) y))
138.0ms	(cbrt (* (+ (* x y) z) y))

simplify648.0ms

Counts

84 → 84

Iterations

Useful iterations: done (646.0ms)

Iter	Nodes	Cost
0	152	1616
1	378	1501
2	1263	1378
done	5000	1271

prune342.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt y)
5.8b	(cbrt (* (+ (* x y) z) y))
5.8b	(cbrt (* (+ (* x y) z) y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)
10.0ms	(cbrt (* (+ (* x y) z) y))
10.0ms	(cbrt (* (+ (* x y) z) y))

series810.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt (+ (* x y) z))
272.0ms	(cbrt y)
186.0ms	(cbrt (* (+ (* x y) z) y))
185.0ms	(cbrt (* (+ (* x y) z) y))

simplify2.0s

Counts

58 → 58

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	123	711
1	284	692
2	817	639
3	3564	588
done	5000	563

prune340.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt y)
5.8b	(cbrt (* (+ (* x y) z) y))
5.8b	(cbrt (* (+ (* x y) z) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*l/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

6.0ms	(cbrt (+ (* x y) z))
1.0ms	(cbrt y)
11.0ms	(cbrt (* (+ (* x y) z) y))
18.0ms	(cbrt (* (+ (* x y) z) y))

series946.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (+ (* x y) z))
321.0ms	(cbrt y)
254.0ms	(cbrt (* (+ (* x y) z) y))
191.0ms	(cbrt (* (+ (* x y) z) y))

simplify2.6s

Counts

58 → 58

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	123	711
1	284	692
2	817	639
3	3564	588
done	5000	563

prune391.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes280.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

993.0ms

11091×

body

valid