Details

sample25.0ms

Algorithm

intervals

Results

6.0ms	203×	body	80	valid
4.0ms	35×	body	1280	valid
3.0ms	34×	body	640	valid
1.0ms	17×	body	320	valid
1.0ms	13×	body	160	valid
0.0ms	3×	body	2560	valid

simplify779.0ms

Counts

1 → 1

Iterations

Useful iterations: 4 (79.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	67	9
3	176	7
4	833	5
done	5000	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-l*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube`
2×	`associate-*l/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 22

Calls

1 calls:

13.0ms

(* (- x z) y)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(* (- x z) y)

simplify3.3s

Counts

25 → 25

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	49	185
1	107	178
2	376	158
3	1303	158
4	3847	158
done	5001	158

prune48.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(* (cbrt y) (cbrt y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series712.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt y) (cbrt y))
176.0ms	(cbrt y)
172.0ms	(cbrt y)
172.0ms	(cbrt y)

simplify1.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (287.0ms)

Iter	Nodes	Cost
0	61	524
1	118	465
2	446	397
3	1994	379
done	5000	379

prune178.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
0.0b	(- (* x y) (* y y))
8.6b	(+ (- (* x y) (* y y)) (* y y))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
6×	`diff-log`
4×	`sum-log`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `distribute-rgt-out--` `*-un-lft-identity` `add-cbrt-cube`
2×	`associate-+l-` `associate-+l+` `flip3--` `flip--` `distribute-lft-out`
1×	`+-commutative` `associate--l-` `flip3-+` `associate--l+` `flip-+` `distribute-lft-out--`

Counts

3 → 46

Calls

3 calls:

61.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
3.0ms	(- (* x y) (* y y))
14.0ms	(+ (- (* x y) (* y y)) (* y y))

series90.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
41.0ms	(- (* x y) (* y y))
16.0ms	(+ (- (* x y) (* y y)) (* y y))

simplify2.7s

Counts

55 → 55

Iterations

Useful iterations: 3 (437.0ms)

Iter	Nodes	Cost
0	80	825
1	234	503
2	901	387
3	4451	365
done	5000	365

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* x y) 0) (* y z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
2×	`diff-log`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `associate--l+` `sum-log` `add-cbrt-cube` `flip--`

Counts

1 → 14

Calls

1 calls:

19.0ms

(- (+ (* x y) 0) (* y z))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(- (+ (* x y) 0) (* y z))

simplify3.8s

Counts

17 → 17

Iterations

Useful iterations: 3 (172.0ms)

Iter	Nodes	Cost
0	37	227
1	112	149
2	381	133
3	1498	131
done	5001	131

prune32.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	11	7
2	13	7
done	13	7

end0.0ms

sample723.0ms

Algorithm

intervals

Results

199.0ms	7017×	body	80	valid
124.0ms	951×	body	1280	valid
82.0ms	815×	body	640	valid
41.0ms	547×	body	320	valid
40.0ms	232×	body	2560	valid
28.0ms	538×	body	160	valid