Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

327×

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	57	7
4	66	7
5	72	7
done	72	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))

rewrite14.0ms

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:

13.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify2.0s

Counts

29 → 29

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	60	303
1	166	294
2	702	242
3	3613	242
done	5001	242

prune50.0ms

Pruning

6 alts after pruning (5 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))))
10.8b	(cbrt (* (* x y) (- 1.0 y)))
10.8b	(cbrt (* (* x y) (- 1.0 y)))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite38.0ms

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)))

series563.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (* (* x y) (- 1.0 y))) (cbrt (* (* x y) (- 1.0 y))))
130.0ms	(cbrt (* (* x y) (- 1.0 y)))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))
130.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify665.0ms

Counts

84 → 84

Iterations

Useful iterations: done (662.0ms)

Iter	Nodes	Cost
0	167	1989
1	401	1858
2	1211	1693
done	5000	1472

prune228.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x y)) (cbrt (* x y)))
10.8b	(cbrt (* x y))
10.8b	(cbrt (* x y))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div` `associate-*r/` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

4 → 60

Calls

4 calls:

5.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
1.0ms	(cbrt (* x y))
1.0ms	(cbrt (* x y))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (cbrt (* x y)) (cbrt (* x y)))
70.0ms	(cbrt (* x y))
65.0ms	(cbrt (* x y))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify2.0s

Counts

72 → 72

Iterations

Useful iterations: 3 (641.0ms)

Iter	Nodes	Cost
0	146	862
1	354	783
2	1011	695
3	3983	583
done	5000	583

prune212.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt y)
10.8b	(cbrt (* x y))
10.8b	(cbrt (* (* x y) (- 1.0 y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 42

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt y)
1.0ms	(cbrt (* x y))
7.0ms	(cbrt (* (* x y) (- 1.0 y)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
183.0ms	(cbrt y)
66.0ms	(cbrt (* x y))
136.0ms	(cbrt (* (* x y) (- 1.0 y)))

simplify900.0ms

Counts

54 → 54

Iterations

Useful iterations: 3 (345.0ms)

Iter	Nodes	Cost
0	140	538
1	312	520
2	782	470
3	2663	386
done	5001	386

prune187.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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

190.0ms

10636×

body

valid