Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

452×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	36	9
4	45	9
5	52	9
6	70	9
7	117	9
8	128	9
9	139	9
10	197	9
11	512	9
12	2733	9
done	5000	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

6.0ms	(+ (* 3 (* y y)) (* x x))
6.0ms	(* 3 (* y y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* 3 (* y y)) (* x x))
26.0ms	(* 3 (* y y))

simplify930.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (261.0ms)

Iter	Nodes	Cost
0	57	370
1	160	340
2	529	296
3	1716	288
done	5001	288

prune61.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

6.0ms	(+ (* (* 3 y) y) (* x x))
6.0ms	(* (* 3 y) y)

series59.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* (* 3 y) y) (* x x))
26.0ms	(* (* 3 y) y)

simplify1.9s

Counts

35 → 35

Iterations

Useful iterations: 3 (507.0ms)

Iter	Nodes	Cost
0	59	365
1	175	335
2	689	293
3	3095	281
done	5001	281

prune58.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite68.0ms

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:

27.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
30.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms	(* (cbrt 3) (* y y))

series222.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
90.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
49.0ms	(* (cbrt 3) (* y y))

simplify2.0s

Counts

71 → 71

Iterations

Useful iterations: 3 (743.0ms)

Iter	Nodes	Cost
0	89	1026
1	255	969
2	922	663
3	3995	507
done	5000	507

prune121.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1` `add-exp-log`
42×	`add-cbrt-cube`
33×	`pow-prod-down` `prod-exp` `cbrt-unprod`
19×	`associate-l`
14×	`sqrt-prod`
13×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-log-exp`
3×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 99

Calls

4 calls:

80.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))
28.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
10.0ms	(* (sqrt (cbrt 3)) (* y y))
82.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))) (* x x))
55.0ms	(* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y)))
81.0ms	(* (sqrt (cbrt 3)) (* y y))
94.0ms	(* (* (cbrt 3) (cbrt 3)) (* (sqrt (cbrt 3)) (* (sqrt (cbrt 3)) (* y y))))

simplify698.0ms

Counts

111 → 111

Iterations

Useful iterations: done (695.0ms)

Iter	Nodes	Cost
0	120	2034
1	355	1504
2	1267	1025
done	5001	1013

prune207.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample522.0ms

Algorithm

intervals

Results

314.0ms

14334×

body

valid