Details

sample37.0ms

Algorithm

intervals

Results

13.0ms	239×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	4×	body	320	valid

simplify422.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	66	11
3	206	9
4	392	9
5	428	9
done	428	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (+ z (* 2 (+ x y))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`*-un-lft-identity` `sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

28.0ms

(+ x (+ z (* 2 (+ x y))))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(+ x (+ z (* 2 (+ x y))))

simplify1.4s

Counts

17 → 17

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	38	232
1	112	221
2	399	203
3	2286	203
done	5002	203

prune63.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

28.0ms

(+ (* 3 x) (+ z (* 2 y)))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(+ (* 3 x) (+ z (* 2 y)))

simplify1.4s

Counts

16 → 16

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	34	225
1	113	212
2	434	194
3	2088	194
done	5002	194

prune72.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 3 x) (+ z (* 2 y)))
0.0b	(sqrt (+ (* 3 x) (+ z (* 2 y))))
0.0b	(sqrt (+ (* 3 x) (+ z (* 2 y))))
0.3b	(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

16.0ms	(+ (* 3 x) (+ z (* 2 y)))
39.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
42.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
144.0ms	(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

series360.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(+ (* 3 x) (+ z (* 2 y)))
124.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
112.0ms	(sqrt (+ (* 3 x) (+ z (* 2 y))))
78.0ms	(* (sqrt (+ (* 3 x) (+ z (* 2 y)))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	126	2540
1	323	1813
2	1551	1665
done	5000	1626

prune345.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))
0.1b	(sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))
0.3b	(* (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))) (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))))
0.3b	(* (* (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))) (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

rewrite731.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
90×	`sqrt-prod`
58×	`add-sqr-sqrt`
43×	`sqrt-pow1`
39×	`pow1`
35×	`flip3-+` `flip-+`
32×	`frac-times`
23×	`pow1/2`
22×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-*l/`
15×	`swap-sqr` `associate-r`
12×	`pow-prod-down`
11×	`add-exp-log` `add-cbrt-cube` `unswap-sqr`
10×	`associate-r/` `associate-l*`
9×	`pow-prod-up`
5×	`pow-sqr`
4×	`rem-sqrt-square` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `pow-plus` `rem-square-sqrt`

Counts

4 → 177

Calls

4 calls:

40.0ms	(sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))
66.0ms	(sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))
238.0ms	(* (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))) (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))))
369.0ms	(* (* (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))) (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

515.0ms	(sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))
539.0ms	(sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))
68.0ms	(* (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))) (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))))
106.0ms	(* (* (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z)))) (sqrt (sqrt (+ (* 2 y) (+ (* 3 x) z))))) (sqrt (+ (* 3 x) (+ z (* 2 y)))))

simplify6.5s

Counts

189 → 189

Iterations

Useful iterations: done (6.5s)

Iter	Nodes	Cost
0	254	6796
1	703	4429
2	4232	4136
done	5000	4100

prune752.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes95.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	12	9
done	12	9

end0.0ms

sample950.0ms

Algorithm

intervals

Results

492.0ms	7410×	body	80	valid
35.0ms	184×	body	1280	valid
26.0ms	175×	body	640	valid
20.0ms	149×	body	320	valid
7.0ms	28×	body	2560	valid
5.0ms	65×	body	160	valid