Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify82.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

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:

36.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify2.3s

Counts

29 → 29

Iterations

Useful iterations: 2 (137.0ms)

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

prune76.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite151.0ms

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:

60.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
28.0ms	(cbrt (* (* x y) (- 1.0 y)))
32.0ms	(cbrt (* (* x y) (- 1.0 y)))
27.0ms	(cbrt (* (* x y) (- 1.0 y)))

series812.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
177.0ms	(cbrt (* (* x y) (- 1.0 y)))
184.0ms	(cbrt (* (* x y) (- 1.0 y)))
202.0ms	(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

prune310.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite196.0ms

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:

116.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
38.0ms	(cbrt (* (* x y) (- 1.0 y)))
30.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* x y))

series749.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
200.0ms	(cbrt (* (* x y) (- 1.0 y)))
192.0ms	(cbrt (* (* x y) (- 1.0 y)))
120.0ms	(cbrt (* x y))

simplify3.4s

Counts

74 → 74

Iterations

Useful iterations: done (3.4s)

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

prune398.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite139.0ms

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:

89.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
33.0ms	(cbrt (* (* x y) (- 1.0 y)))
7.0ms	(cbrt (* x y))
7.0ms	(cbrt (* x y))

series715.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (* (cbrt (* x y)) (cbrt (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
220.0ms	(cbrt (* (* x y) (- 1.0 y)))
98.0ms	(cbrt (* x y))
101.0ms	(cbrt (* x y))

simplify3.3s

Counts

72 → 72

Iterations

Useful iterations: done (3.3s)

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

prune411.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes173.0ms

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

sample805.0ms

Algorithm

intervals

Results

390.0ms

10641×

body

valid