Details

sample32.0ms

Algorithm

intervals

Results

14.0ms

345×

body

valid

simplify105.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

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))

series66.0ms

Counts

1 → 3

Calls

1 calls:

66.0ms

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

simplify2.6s

Counts

29 → 29

Iterations

Useful iterations: 2 (167.0ms)

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

prune92.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite114.0ms

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:

39.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
17.0ms	(cbrt (* (* x y) (- 1.0 y)))
23.0ms	(cbrt (* (* x y) (- 1.0 y)))
32.0ms	(cbrt (* (* x y) (- 1.0 y)))

series850.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
207.0ms	(cbrt (* (* x y) (- 1.0 y)))
213.0ms	(cbrt (* (* x y) (- 1.0 y)))
189.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.3s

Counts

84 → 84

Iterations

Useful iterations: done (2.3s)

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

prune334.0ms

Pruning

7 alts after pruning (5 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)))))
9.4b	(cbrt (* x y))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite165.0ms

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:

114.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
3.0ms	(cbrt (* x y))
16.0ms	(cbrt (* (* x y) (- 1.0 y)))
29.0ms	(cbrt (* (* x y) (- 1.0 y)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (* x y)) (* (cbrt (- 1.0 y)) (cbrt (* (* x y) (- 1.0 y)))))
95.0ms	(cbrt (* x y))
232.0ms	(cbrt (* (* x y) (- 1.0 y)))
215.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.9s

Counts

71 → 71

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	189	1548
1	489	1519
2	1293	1378
3	4082	1179
done	5001	1125

prune327.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
9.4b	(cbrt (* x y))
9.4b	(cbrt (* (* x y) (- 1.0 y)))
9.4b	(cbrt (* (* x y) (- 1.0 y)))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-*r/`
16×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
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 → 70

Calls

4 calls:

58.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
3.0ms	(cbrt (* x y))
16.0ms	(cbrt (* (* x y) (- 1.0 y)))
29.0ms	(cbrt (* (* x y) (- 1.0 y)))

series710.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
104.0ms	(cbrt (* x y))
187.0ms	(cbrt (* (* x y) (- 1.0 y)))
183.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.3s

Counts

82 → 82

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	184	1753
1	442	1628
2	1169	1483
3	3422	1202
done	5000	1143

prune310.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes110.0ms

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

sample803.0ms

Algorithm

intervals

Results

422.0ms

10678×

body

valid