Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

349×

body

valid

simplify98.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	13	7
2	32	7
3	66	7
4	97	7
5	113	7
6	115	7
done	115	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* x y))
0.0b	(* 2.0 (- (* x x) (* x y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--` `distribute-lft-out--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

17.0ms	(- (* x x) (* x y))
51.0ms	(* 2.0 (- (* x x) (* x y)))

series124.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* x x) (* x y))
80.0ms	(* 2.0 (- (* x x) (* x y)))

simplify674.0ms

Counts

44 → 44

Iterations

Useful iterations: done (672.0ms)

Iter	Nodes	Cost
0	64	519
1	191	431
2	933	369
done	5000	367

prune110.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (* 2.0 x) (- x y))

rewrite56.0ms

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:

55.0ms

(* (* 2.0 x) (- x y))

series75.0ms

Counts

1 → 3

Calls

1 calls:

75.0ms

(* (* 2.0 x) (- x y))

simplify956.0ms

Counts

29 → 29

Iterations

Useful iterations: done (954.0ms)

Iter	Nodes	Cost
0	62	303
1	177	288
2	1153	246
done	5001	242

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (sqrt x) (sqrt y))
0.1b	(* (+ (sqrt x) (sqrt y)) (* 2.0 x))
0.1b	(* (* (+ (sqrt x) (sqrt y)) (* 2.0 x)) (- (sqrt x) (sqrt y)))

rewrite284.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
14×	`sqrt-prod`
10×	`associate-r` `associate-*l/`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`difference-of-squares`
6×	`associate-l`
5×	`add-cube-cbrt` `add-log-exp`
4×	`frac-times` `flip3--` `flip3-+` `flip--` `flip-+` `distribute-lft-out--`
3×	`sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-r/` `-commutative` `distribute-lft-out`
1×	`diff-log`

Counts

3 → 79

Calls

3 calls:

11.0ms	(- (sqrt x) (sqrt y))
65.0ms	(* (+ (sqrt x) (sqrt y)) (* 2.0 x))
205.0ms	(* (* (+ (sqrt x) (sqrt y)) (* 2.0 x)) (- (sqrt x) (sqrt y)))

series438.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(- (sqrt x) (sqrt y))
112.0ms	(* (+ (sqrt x) (sqrt y)) (* 2.0 x))
236.0ms	(* (* (+ (sqrt x) (sqrt y)) (* 2.0 x)) (- (sqrt x) (sqrt y)))

simplify1.9s

Counts

88 → 88

Iterations

Useful iterations: 2 (471.0ms)

Iter	Nodes	Cost
0	148	1528
1	455	1379
2	2711	1058
done	5001	1058

prune268.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	9	9
done	9	9

end0.0ms

sample1.0s

Algorithm

intervals

Results

553.0ms

11228×

body

valid