Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

357×

body

valid

simplify64.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	70	7
4	102	7
5	113	7
done	113	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`add-sqr-sqrt` `*-un-lft-identity`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `add-cube-cbrt` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 26

Calls

1 calls:

30.0ms

(* (* x y) (- 1.0 y))

series60.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* (* x y) (- 1.0 y))

simplify677.0ms

Counts

29 → 29

Iterations

Useful iterations: done (676.0ms)

Iter	Nodes	Cost
0	60	303
1	175	294
2	1142	254
done	5000	242

prune100.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
11.7b	(cbrt (* (* x y) (- 1.0 y)))
11.7b	(cbrt (* (* x y) (- 1.0 y)))
11.7b	(cbrt (* (* x y) (- 1.0 y)))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
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×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

48.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
31.0ms	(cbrt (* (* x y) (- 1.0 y)))
31.0ms	(cbrt (* (* x y) (- 1.0 y)))
21.0ms	(cbrt (* (* x y) (- 1.0 y)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
139.0ms	(cbrt (* (* x y) (- 1.0 y)))
166.0ms	(cbrt (* (* x y) (- 1.0 y)))
209.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify852.0ms

Counts

84 → 84

Iterations

Useful iterations: done (848.0ms)

Iter	Nodes	Cost
0	167	1989
1	426	1858
2	1579	1693
done	5001	1503

prune335.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
11.7b	(cbrt (* (* x y) (- 1.0 y)))
11.7b	(cbrt (* (* x y) (- 1.0 y)))
11.7b	(cbrt (* x y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
16×	`cbrt-div`
9×	`pow1` `add-exp-log`
8×	`flip3--` `flip--`
6×	`pow1/3`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `add-cbrt-cube`
4×	`cbrt-prod` `frac-times` `associate-l` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative`

Counts

4 → 59

Calls

4 calls:

83.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
17.0ms	(cbrt (* (* x y) (- 1.0 y)))
17.0ms	(cbrt (* (* x y) (- 1.0 y)))
4.0ms	(cbrt (* x y))

series721.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
183.0ms	(cbrt (* (* x y) (- 1.0 y)))
157.0ms	(cbrt (* (* x y) (- 1.0 y)))
102.0ms	(cbrt (* x y))

simplify822.0ms

Counts

71 → 71

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	189	1548
1	491	1519
2	1537	1378
done	5000	1185

prune329.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.7b	(cbrt y)
11.7b	(cbrt (* (* x y) (- 1.0 y)))
11.7b	(cbrt (* (* x y) (- 1.0 y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt y)
17.0ms	(cbrt (* (* x y) (- 1.0 y)))
37.0ms	(cbrt (* (* x y) (- 1.0 y)))

series849.0ms

Counts

4 → 12

Calls

4 calls:

267.0ms	(cbrt x)
249.0ms	(cbrt y)
158.0ms	(cbrt (* (* x y) (- 1.0 y)))
174.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.0s

Counts

56 → 56

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	124	774
1	278	750
2	880	680
3	4323	610
done	5002	582

prune246.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes132.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample742.0ms

Algorithm

intervals

Results

337.0ms

10660×

body

valid