Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

347×

body

valid

simplify80.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	32	7
3	66	7
4	81	7
5	88	7
done	88	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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:

50.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify2.2s

Counts

29 → 29

Iterations

Useful iterations: 2 (131.0ms)

Iter	Nodes	Cost
0	60	303
1	165	294
2	649	242
3	2733	242
done	5000	242

prune65.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.2b	(cbrt (* (* x y) (- 1.0 y)))

rewrite106.0ms

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:

45.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
18.0ms	(cbrt (* (* x y) (- 1.0 y)))
21.0ms	(cbrt (* (* x y) (- 1.0 y)))
19.0ms	(cbrt (* (* x y) (- 1.0 y)))

series786.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
179.0ms	(cbrt (* (* x y) (- 1.0 y)))
186.0ms	(cbrt (* (* x y) (- 1.0 y)))
181.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify1.9s

Counts

84 → 84

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	167	1989
1	401	1858
2	1076	1693
3	3200	1362
done	5001	1296

prune303.0ms

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)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.3b	(cbrt (* x y))

rewrite105.0ms

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:

61.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
21.0ms	(cbrt (* (* x y) (- 1.0 y)))
17.0ms	(cbrt (* (* x y) (- 1.0 y)))
4.0ms	(cbrt (* x y))

series646.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
195.0ms	(cbrt (* (* x y) (- 1.0 y)))
153.0ms	(cbrt (* (* x y) (- 1.0 y)))
74.0ms	(cbrt (* x y))

simplify2.6s

Counts

74 → 74

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	190	1637
1	497	1594
2	1403	1461
3	4702	1262
done	5001	1241

prune392.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
10.2b	(cbrt (* (* x y) (- 1.0 y)))
10.3b	(cbrt (* x y))
10.3b	(cbrt (* x y))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

16×	`associate-*r/`
14×	`cbrt-div`
12×	`pow1/3`
9×	`pow1` `add-exp-log`
7×	`flip3--` `pow-prod-down` `flip--`
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 → 60

Calls

4 calls:

84.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
33.0ms	(cbrt (* (* x y) (- 1.0 y)))
6.0ms	(cbrt (* x y))
6.0ms	(cbrt (* x y))

series638.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
189.0ms	(cbrt (* (* x y) (- 1.0 y)))
103.0ms	(cbrt (* x y))
98.0ms	(cbrt (* x y))

simplify3.0s

Counts

72 → 72

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	190	1401
1	497	1364
2	1403	1251
3	4702	1106
done	5001	1087

prune352.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes133.0ms

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

sample1.3s

Algorithm

intervals

Results

884.0ms

10641×

body

valid