Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	244×	body	80	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	8	11
1	20	11
2	57	9
3	134	9
4	184	9
5	189	9
done	189	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

1.2s	(+ (+ (+ (+ (+ x y) y) x) z) x)
13.0ms	(+ (+ x y) y)
59.0ms	(+ (+ (+ x y) y) x)

series77.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)
24.0ms	(+ (+ x y) y)
31.0ms	(+ (+ (+ x y) y) x)

simplify1.6s

Counts

62 → 62

Iterations

Useful iterations: 3 (502.0ms)

Iter	Nodes	Cost
0	88	720
1	250	674
2	800	552
3	4053	528
done	5000	528

prune106.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

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

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify648.0ms

Counts

16 → 16

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	34	225
1	114	212
2	378	194
3	1415	194
done	5002	194

prune34.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (+ (* (+ y x) 2) z))) (cbrt (+ x (+ (* (+ y x) 2) z))))
0.5b	(cbrt (+ x (+ (* (+ y x) 2) z)))
0.5b	(cbrt (+ x (+ (* (+ y x) 2) z)))
0.5b	(cbrt (+ x (+ (* (+ y x) 2) z)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

92.0ms	(* (cbrt (+ x (+ (* (+ y x) 2) z))) (cbrt (+ x (+ (* (+ y x) 2) z))))
11.0ms	(cbrt (+ x (+ (* (+ y x) 2) z)))
12.0ms	(cbrt (+ x (+ (* (+ y x) 2) z)))
11.0ms	(cbrt (+ x (+ (* (+ y x) 2) z)))

series1.0s

Counts

4 → 12

Calls

4 calls:

307.0ms	(* (cbrt (+ x (+ (* (+ y x) 2) z))) (cbrt (+ x (+ (* (+ y x) 2) z))))
249.0ms	(cbrt (+ x (+ (* (+ y x) 2) z)))
248.0ms	(cbrt (+ x (+ (* (+ y x) 2) z)))
245.0ms	(cbrt (+ x (+ (* (+ y x) 2) z)))

simplify824.0ms

Counts

107 → 107

Iterations

Useful iterations: 3 (307.0ms)

Iter	Nodes	Cost
0	123	2560
1	266	2354
2	673	2208
3	1993	1949
done	5000	1949

prune265.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity` `sqrt-prod`
28×	`add-sqr-sqrt`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
11×	`swap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `distribute-lft-out` `add-log-exp`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `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 → 108

Calls

4 calls:

12.0ms	(+ x (+ (* (+ y x) 2) z))
23.0ms	(sqrt (+ x (+ (* (+ y x) 2) z)))
22.0ms	(sqrt (+ x (+ (* (+ y x) 2) z)))
94.0ms	(* (sqrt (+ x (+ (* (+ y x) 2) z))) (sqrt (+ x (+ (* (+ y x) 2) z))))

series208.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ x (+ (* (+ y x) 2) z))
65.0ms	(sqrt (+ x (+ (* (+ y x) 2) z)))
65.0ms	(sqrt (+ x (+ (* (+ y x) 2) z)))
55.0ms	(* (sqrt (+ x (+ (* (+ y x) 2) z))) (sqrt (+ x (+ (* (+ y x) 2) z))))

simplify1.4s

Counts

120 → 120

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	125	2669
1	273	1881
2	771	1745
3	2877	1702
done	5000	1700

prune223.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.0b 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	9	9
1	13	9
done	13	9

end0.0ms

sample384.0ms

Algorithm

intervals

Results

170.0ms	7429×	body	80	valid
19.0ms	203×	body	640	valid
17.0ms	174×	body	1280	valid
8.0ms	37×	body	2560	valid
6.0ms	102×	body	320	valid
3.0ms	66×	body	160	valid