Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	202×	body	80	valid
7.0ms	34×	body	1280	valid
5.0ms	28×	body	640	valid
3.0ms	10×	body	2560	valid
3.0ms	20×	body	320	valid
2.0ms	17×	body	160	valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 4 (611.0ms)

Iter	Nodes	Cost
0	9	15
1	22	13
2	68	9
3	209	7
4	1689	5
done	5000	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- x z) y)

rewrite22.0ms

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:

21.0ms

(* (- x z) y)

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (- x z) y)

simplify4.8s

Counts

25 → 25

Iterations

Useful iterations: 3 (835.0ms)

Iter	Nodes	Cost
0	49	185
1	110	178
2	431	160
3	4801	158
done	5000	158

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* y y))
0.0b	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
11.7b	(+ (- (* x y) (* y y)) (* y y))

rewrite236.0ms

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:

8.0ms	(- (* x y) (* y y))
186.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
41.0ms	(+ (- (* x y) (* y y)) (* y y))

series119.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (* x y) (* y y))
48.0ms	(- (+ (- (* x y) (* y y)) (* y y)) (* y z))
19.0ms	(+ (- (* x y) (* y y)) (* y y))

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	80	825
1	268	667
2	1581	469
done	5001	383

prune157.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite87.0ms

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:

86.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify2.9s

Counts

17 → 17

Iterations

Useful iterations: 3 (710.0ms)

Iter	Nodes	Cost
0	37	227
1	101	149
2	466	133
3	4164	131
done	5001	131

prune38.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- x z))
0.3b	(pow (* y (- x z)) 3)
32.8b	(cbrt (pow (* y (- x z)) 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`pow1` `add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt`
6×	`associate-*r/`
5×	`associate-r`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-l` `flip--` `add-log-exp`
2×	`distribute-rgt-in` `cube-mult` `sub-neg` `unpow-prod-down` `cbrt-div` `pow-pow` `distribute-lft-in` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 69

Calls

3 calls:

28.0ms	(* y (- x z))
15.0ms	(pow (* y (- x z)) 3)
6.0ms	(cbrt (pow (* y (- x z)) 3))

series164.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* y (- x z))
64.0ms	(pow (* y (- x z)) 3)
57.0ms	(cbrt (pow (* y (- x z)) 3))

simplify1.2s

Counts

78 → 78

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	116	805
1	325	664
2	1762	622
done	5001	622

prune227.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	11	7
2	12	7
done	12	7

end0.0ms

sample2.1s

Algorithm

intervals

Results

802.0ms	7004×	body	80	valid
307.0ms	949×	body	1280	valid
202.0ms	826×	body	640	valid
135.0ms	206×	body	2560	valid
79.0ms	534×	body	160	valid
78.0ms	551×	body	320	valid