Details

sample14.0ms

Algorithm

intervals

Results

6.0ms

330×

body

valid

simplify38.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	31	7
3	58	7
4	67	7
5	73	7
done	73	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:

12.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify2.7s

Counts

29 → 29

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	60	303
1	168	294
2	777	242
3	4204	242
done	5000	242

prune48.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))

rewrite34.0ms

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:

12.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series572.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
131.0ms	(cbrt (* (* x y) (- 1.0 y)))
135.0ms	(cbrt (* (* x y) (- 1.0 y)))
135.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify668.0ms

Counts

84 → 84

Iterations

Useful iterations: done (665.0ms)

Iter	Nodes	Cost
0	167	1989
1	404	1858
2	1293	1693
done	5000	1490

prune240.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* x y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

26.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
1.0ms	(cbrt (* x y))

series504.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
132.0ms	(cbrt (* (* x y) (- 1.0 y)))
137.0ms	(cbrt (* (* x y) (- 1.0 y)))
65.0ms	(cbrt (* x y))

simplify493.0ms

Counts

74 → 74

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	190	1637
1	499	1594
2	1532	1461
done	5000	1461

prune280.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* (* x y) (- 1.0 y)))
12.3b	(cbrt (* x y))

rewrite47.0ms

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:

30.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))
1.0ms	(cbrt (* x y))

series506.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
137.0ms	(cbrt (* (* x y) (- 1.0 y)))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))
65.0ms	(cbrt (* x y))

simplify1.5s

Counts

71 → 71

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	189	1548
1	490	1519
2	1350	1378
3	4891	1185
done	5000	1179

prune238.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.1b 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	6	7
1	8	7
done	8	7

end0.0ms

sample351.0ms

Algorithm

intervals

Results

188.0ms

10662×

body

valid