Details

sample72.0ms

Algorithm

intervals

Results

24.0ms

429×

body

valid

simplify39.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	45
5	45
4	42
3	35
2	23
1	13
0	7

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite399.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

384.0ms	(+ (* 3 (* y y)) (* x x))
14.0ms	(* 3 (* y y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* 3 (* y y)) (* x x))
37.0ms	(* 3 (* y y))

simplify2.5s

Counts

36 → 36

Iterations

Iter	Nodes
done	5000
3	3336
2	624
1	176
0	57

prune203.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

28.0ms	(+ (* (* 3 y) y) (* x x))
28.0ms	(* (* 3 y) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ (* (* 3 y) y) (* x x))
34.0ms	(* (* 3 y) y)

simplify2.3s

Counts

35 → 35

Iterations

Iter	Nodes
done	5033
3	2849
2	654
1	179
0	59

prune129.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize16.0ms

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))

rewrite127.0ms

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×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`cbrt-prod`
2×	`associate-r` `*-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+`

Counts

3 → 62

Calls

3 calls:

53.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
57.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
16.0ms	(* (cbrt 3) (* y y))

series298.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
127.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
77.0ms	(* (cbrt 3) (* y y))

simplify3.7s

Counts

71 → 71

Iterations

Iter	Nodes
done	5002
3	4124
2	886
1	253
0	89

prune277.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (sqrt (cbrt 3)) y)
0.1b	(* (sqrt (cbrt 3)) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
0.4b	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
51×	`add-cbrt-cube`
41×	`prod-exp` `cbrt-unprod`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`sqrt-prod`
12×	`*-un-lft-identity` `pow-plus` `pow-sqr` `add-cube-cbrt`
8×	`cbrt-prod` `associate-r`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

20.0ms	(* (sqrt (cbrt 3)) y)
21.0ms	(* (sqrt (cbrt 3)) y)
170.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
42.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

series396.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (sqrt (cbrt 3)) y)
99.0ms	(* (sqrt (cbrt 3)) y)
111.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
95.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

simplify1.8s

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
2	1071
1	278
0	101

prune451.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes214.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

14086×

body

valid