Details

sample35.0ms

Algorithm

intervals

Results

19.0ms

365×

body

valid

simplify117.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	13	7
2	32	7
3	66	7
4	90	7
5	96	7
done	96	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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))
54.0ms	(* 2.0 (- (* x x) (* x y)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(- (* x x) (* x y))
86.0ms	(* 2.0 (- (* x x) (* x y)))

simplify2.0s

Counts

44 → 44

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	64	519
1	158	413
2	501	367
3	2243	367
done	5000	367

prune116.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:

50.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify2.4s

Counts

29 → 29

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	62	303
1	167	288
2	656	242
3	2669	242
done	5000	242

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- x y))
0.0b	(sqrt (- x y))
0.1b	(* (* 2.0 x) (sqrt (- x y)))
0.2b	(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-sqr-sqrt` `sqrt-prod`
18×	`add-exp-log` `*-un-lft-identity` `sqrt-div` `add-cbrt-cube`
16×	`associate-r`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`frac-times` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 93

Calls

4 calls:

14.0ms	(sqrt (- x y))
9.0ms	(sqrt (- x y))
48.0ms	(* (* 2.0 x) (sqrt (- x y)))
127.0ms	(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (- x y))
90.0ms	(sqrt (- x y))
118.0ms	(* (* 2.0 x) (sqrt (- x y)))
61.0ms	(* (* (* 2.0 x) (sqrt (- x y))) (sqrt (- x y)))

simplify2.2s

Counts

105 → 105

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	138	1433
1	369	1154
2	1308	1014
done	5001	988

prune259.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

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: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
done	8	7

end0.0ms

sample652.0ms

Algorithm

intervals

Results

441.0ms

11077×

body

valid