Details

sample40.0ms

Algorithm

intervals

Results

23.0ms

425×

body

valid

simplify47.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	35	9
4	43	9
5	46	9
done	46	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* 3 (* y y)))
0.2b	(* 3 (* y y))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

14.0ms	(+ (* x x) (* 3 (* y y)))
32.0ms	(* 3 (* y y))

series89.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x x) (* 3 (* y y)))
33.0ms	(* 3 (* y y))

simplify3.8s

Counts

36 → 36

Iterations

Useful iterations: 3 (381.0ms)

Iter	Nodes	Cost
0	57	370
1	157	340
2	476	296
3	1346	288
4	3542	288
done	5000	288

prune129.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* 3 y) y))
0.2b	(* (* 3 y) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

9.0ms	(+ (* x x) (* (* 3 y) y))
33.0ms	(* (* 3 y) y)

series78.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x x) (* (* 3 y) y))
36.0ms	(* (* 3 y) y)

simplify3.7s

Counts

35 → 35

Iterations

Useful iterations: 3 (910.0ms)

Iter	Nodes	Cost
0	59	365
1	172	335
2	631	291
3	1818	281
done	5000	281

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

11.0ms	(+ (* x x) (* y y))
31.0ms	(+ (+ (* x x) (* y y)) (* y y))
190.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series160.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* x x) (* y y))
68.0ms	(+ (+ (* x x) (* y y)) (* y y))
55.0ms	(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify2.6s

Counts

47 → 47

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	70	791
1	211	667
2	725	591
3	2852	513
done	5000	513

prune202.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `associate-l`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 62

Calls

3 calls:

28.0ms	(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
137.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
26.0ms	(* (cbrt 3) (* y y))

series289.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
110.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
67.0ms	(* (cbrt 3) (* y y))

simplify3.7s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	89	1026
1	238	960
2	874	660
3	3497	507
done	5000	507

prune154.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes168.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
done	10	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

14078×

body

valid