Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

473×

body

valid

simplify28.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	7	15
1	13	15
2	23	13
3	36	9
4	44	9
5	45	9
done	45	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))

series67.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* 3 (* y y)) (* x x))
27.0ms	(* 3 (* y y))

simplify2.3s

Counts

36 → 36

Iterations

Useful iterations: 3 (281.0ms)

Iter	Nodes	Cost
0	57	370
1	160	340
2	517	296
3	1226	288
4	2933	288
done	5000	288

prune73.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

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-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)

series67.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* (* 3 y) y) (* x x))
27.0ms	(* (* 3 y) y)

simplify1.9s

Counts

35 → 35

Iterations

Useful iterations: 3 (643.0ms)

Iter	Nodes	Cost
0	59	365
1	175	335
2	680	293
3	2379	281
done	5000	281

prune66.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 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))

rewrite69.0ms

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:

29.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
29.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms	(* (cbrt 3) (* y y))

series248.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
101.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
53.0ms	(* (cbrt 3) (* y y))

simplify2.9s

Counts

71 → 71

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	89	1026
1	255	969
2	921	663
3	3520	507
done	5001	507

prune120.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

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

rewrite120.0ms

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×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`cbrt-prod` `associate-r`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

6.0ms	(* (sqrt (cbrt 3)) y)
7.0ms	(* (sqrt (cbrt 3)) y)
76.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
21.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

series323.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (sqrt (cbrt 3)) y)
82.0ms	(* (sqrt (cbrt 3)) y)
100.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y)))
52.0ms	(* (* (sqrt (cbrt 3)) y) (* (sqrt (cbrt 3)) y))

simplify1.1s

Counts

156 → 156

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	101	2081
1	279	1569
2	1004	1081
done	5000	1081

prune242.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes90.0ms

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

sample548.0ms

Algorithm

intervals

Results

320.0ms

14265×

body

valid