Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

483×

body

valid

simplify275.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3197	4
12	5001	4
done	5001	4

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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:

16.0ms	(+ (* 3 (* y y)) (* x x))
15.0ms	(* 3 (* y y))

series59.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* 3 (* y y)) (* x x))
26.0ms	(* 3 (* y y))

simplify74.0ms

Counts

36 → 36

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	164	163
1	658	146
2	2429	139
3	5003	139
done	5003	139

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

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:

16.0ms	(+ (* (* 3 y) y) (* x x))
19.0ms	(* (* 3 y) y)

series60.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (* 3 y) y) (* x x))
26.0ms	(* (* 3 y) y)

simplify132.0ms

Counts

35 → 35

Iterations

Useful iterations: 3 (126.0ms)

Iter	Nodes	Cost
0	173	161
1	854	144
2	4082	139
3	5001	138
done	5001	138

prune56.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

47.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
51.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))
19.0ms	(* (sqrt 3) (* y y))

series187.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
70.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))
44.0ms	(* (sqrt 3) (* y y))

simplify145.0ms

Counts

67 → 67

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	233	391
1	994	310
2	4280	302
3	5002	298
done	5002	298

prune106.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (sqrt 3)) (* y y))
0.2b	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
0.3b	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
48×	`cbrt-prod`
46×	`add-sqr-sqrt`
42×	`pow-prod-down`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
27×	`sqrt-prod`
25×	`associate-l`
21×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-r` `unswap-sqr`
11×	`swap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 147

Calls

4 calls:

20.0ms	(* (cbrt (sqrt 3)) (* y y))
184.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
68.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
15.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series349.0ms

Counts

4 → 10

Calls

4 calls:

230.0ms	(* (cbrt (sqrt 3)) (* y y))
72.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
47.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify73.0ms

Counts

157 → 157

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	360	1517
1	1736	1102
2	5002	889
done	5002	889

prune251.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes86.0ms

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	10	4
1	10	4
done	10	4

end0.0ms

sample613.0ms

Algorithm

intervals

Results

313.0ms

14310×

body

valid