Details

sample37.0ms

Algorithm

intervals

Results

18.0ms

470×

body

valid

simplify51.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	36	9
4	46	9
5	50	9
done	50	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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:

9.0ms	(+ (* x x) (* 3 (* y y)))
17.0ms	(* 3 (* y y))

series69.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ (* x x) (* 3 (* y y)))
32.0ms	(* 3 (* y y))

simplify748.0ms

Counts

36 → 36

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	57	370
1	193	348
2	1097	296
done	5000	288

prune80.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* (* 3 y) y))
0.1b	(* (* 3 y) y)

rewrite27.0ms

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))
18.0ms	(* (* 3 y) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x x) (* (* 3 y) y))
26.0ms	(* (* 3 y) y)

simplify880.0ms

Counts

35 → 35

Iterations

Useful iterations: done (879.0ms)

Iter	Nodes	Cost
0	59	365
1	189	337
2	1221	293
done	5000	283

prune79.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3 y) y)
0.3b	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
20.3b	(sqrt (* (* 3 y) y))
20.3b	(sqrt (* (* 3 y) y))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

18.0ms	(* (* 3 y) y)
99.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
12.0ms	(sqrt (* (* 3 y) y))
14.0ms	(sqrt (* (* 3 y) y))

series198.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* 3 y) y)
87.0ms	(* (sqrt (* (* 3 y) y)) (sqrt (* (* 3 y) y)))
35.0ms	(sqrt (* (* 3 y) y))
39.0ms	(sqrt (* (* 3 y) y))

simplify1.0s

Counts

120 → 120

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	81	1103
1	217	761
2	1441	648
done	5001	634

prune219.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

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))

rewrite139.0ms

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:

15.0ms	(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
93.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
29.0ms	(* (cbrt 3) (* y y))

series320.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(+ (* x x) (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))))
138.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
59.0ms	(* (cbrt 3) (* y y))

simplify916.0ms

Counts

71 → 71

Iterations

Useful iterations: done (913.0ms)

Iter	Nodes	Cost
0	89	1026
1	278	960
2	1458	660
done	5000	529

prune163.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes123.0ms

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

sample1.1s

Algorithm

intervals

Results

709.0ms

14209×

body

valid