Details

sample111.0ms

Algorithm

intervals

Results

18.0ms

342×

body

valid

simplify36.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	33
4	33
3	26
2	16
1	9
0	6

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x x) y)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`add-sqr-sqrt`
1×	`pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `difference-of-squares`

Counts

1 → 13

Calls

1 calls:

15.0ms

(- (* x x) y)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(- (* x x) y)

simplify1.1s

Counts

16 → 16

Iterations

Iter	Nodes
done	5002
3	1610
2	309
1	87
0	32

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

8.0ms	(+ x (sqrt y))
5.0ms	(- x (sqrt y))
74.0ms	(* (+ x (sqrt y)) (- x (sqrt y)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ x (sqrt y))
56.0ms	(- x (sqrt y))
110.0ms	(* (+ x (sqrt y)) (- x (sqrt y)))

simplify1.2s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
2	1601
1	264
0	91

prune340.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

2.5b	(+ (* y y) (* (* x x) y))
2.8b	(- (* (* (* x x) (* x x)) (* x x)) (* y (* y y)))
5.2b	(* (* x x) y)
38.8b	(/ (- (* (* (* x x) (* x x)) (* x x)) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

rewrite737.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
8×	`add-log-exp`
5×	`difference-cubes` `cube-unmult` `pow3`
4×	`associate-/l*`
3×	`associate-/r` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `distribute-rgt-out` `diff-log` `div-sub` `div-exp` `associate-l` `*-commutative` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

13.0ms	(+ (* y y) (* (* x x) y))
167.0ms	(- (* (* (* x x) (* x x)) (* x x)) (* y (* y y)))
29.0ms	(* (* x x) y)
525.0ms	(/ (- (* (* (* x x) (* x x)) (* x x)) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

series331.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(+ (* y y) (* (* x x) y))
106.0ms	(- (* (* (* x x) (* x x)) (* x x)) (* y (* y y)))
20.0ms	(* (* x x) y)
109.0ms	(/ (- (* (* (* x x) (* x x)) (* x x)) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

simplify4.2s

Counts

92 → 92

Iterations

Iter	Nodes
done	5000
2	4191
1	492
0	149

prune539.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes253.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample837.0ms

Algorithm

intervals

Results

454.0ms

10555×

body

valid