Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

465×

body

valid

simplify4.5s

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: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))
7.0ms	(* 3 (* y y))

series63.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* 3 (* y y)) (* x x))
25.0ms	(* 3 (* y y))

simplify945.0ms

Counts

36 → 36

Iterations

Useful iterations: 3 (262.0ms)

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

prune61.0ms

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)

rewrite14.0ms

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))
7.0ms	(* (* 3 y) y)

series64.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (* 3 y) y) (* x x))
29.0ms	(* (* 3 y) y)

simplify2.0s

Counts

35 → 35

Iterations

Useful iterations: 3 (504.0ms)

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

prune58.0ms

Pruning

4 alts after pruning (2 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))
0.3b	(* (sqrt 3) (* y y))
0.3b	(* (sqrt 3) (* (sqrt 3) (* y y)))

rewrite58.0ms

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:

23.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
10.0ms	(* (sqrt 3) (* y y))
23.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
52.0ms	(* (sqrt 3) (* y y))
71.0ms	(* (sqrt 3) (* (sqrt 3) (* y y)))

simplify1.7s

Counts

67 → 67

Iterations

Useful iterations: 3 (507.0ms)

Iter	Nodes	Cost
0	80	847
1	223	621
2	805	519
3	2974	507
done	5000	507

prune108.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite161.0ms

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:

10.0ms	(* (cbrt (sqrt 3)) (* y y))
33.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
100.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
10.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series381.0ms

Counts

4 → 10

Calls

4 calls:

249.0ms	(* (cbrt (sqrt 3)) (* y y))
55.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y)))
75.0ms	(* (sqrt 3) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* y y))))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify628.0ms

Counts

157 → 157

Iterations

Useful iterations: done (624.0ms)

Iter	Nodes	Cost
0	141	2428
1	347	2228
2	1469	1500
done	5000	1492

prune283.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes87.0ms

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

sample532.0ms

Algorithm

intervals

Results

320.0ms

14346×

body

valid