Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	232×	body	80	valid
1.0ms	12×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	4×	body	640	valid
0.0ms	5×	body	160	valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	12	7
2	19	7
3	29	7
4	40	7
5	94	7
6	206	7
7	486	7
8	1272	7
9	4324	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

30.0ms

(+ x (/ (- x y) 2.0))

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

(+ x (/ (- x y) 2.0))

simplify2.3s

Counts

16 → 16

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	34	178
1	92	171
2	250	157
3	791	157
4	3874	157
done	5001	157

prune57.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite339.0ms

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:

231.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
32.0ms	(cbrt (+ x (/ (- x y) 2.0)))
45.0ms	(cbrt (+ x (/ (- x y) 2.0)))
21.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

490.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
562.0ms	(cbrt (+ x (/ (- x y) 2.0)))
531.0ms	(cbrt (+ x (/ (- x y) 2.0)))
506.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify6.2s

Counts

107 → 107

Iterations

Useful iterations: done (6.1s)

Iter	Nodes	Cost
0	129	2124
1	285	1959
2	887	1841
3	4678	1659
done	5000	1643

prune419.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.9b	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
19×	`*-un-lft-identity`
11×	`add-sqr-sqrt` `add-cube-cbrt`
10×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
21.0ms	(cbrt (+ x (/ (- x y) 2.0)))
27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
58.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

series2.6s

Counts

4 → 12

Calls

4 calls:

595.0ms	(cbrt (+ x (/ (- x y) 2.0)))
579.0ms	(cbrt (+ x (/ (- x y) 2.0)))
523.0ms	(cbrt (+ x (/ (- x y) 2.0)))
871.0ms	(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 4)

simplify2.6s

Counts

79 → 79

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	147	1313
1	368	1249
2	1081	1146
3	4468	1114
done	5001	1114

prune327.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))
0.0b	(sqrt (+ x (/ (- x y) 2.0)))
0.0b	(sqrt (+ x (/ (- x y) 2.0)))
0.3b	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

rewrite344.0ms

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`
7×	`associate-r` `associate-l`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r-` `pow-plus` `sqrt-unprod` `div-sub` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 107

Calls

4 calls:

35.0ms	(+ x (/ (- x y) 2.0))
62.0ms	(sqrt (+ x (/ (- x y) 2.0)))
61.0ms	(sqrt (+ x (/ (- x y) 2.0)))
181.0ms	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

series361.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ x (/ (- x y) 2.0))
127.0ms	(sqrt (+ x (/ (- x y) 2.0)))
126.0ms	(sqrt (+ x (/ (- x y) 2.0)))
51.0ms	(* (sqrt (+ x (/ (- x y) 2.0))) (sqrt (+ x (/ (- x y) 2.0))))

simplify849.0ms

Counts

119 → 119

Iterations

Useful iterations: done (842.0ms)

Iter	Nodes	Cost
0	114	2202
1	265	1548
2	1174	1434
done	5000	1395

prune233.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes88.0ms

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	6	7
1	7	7
done	7	7

end0.0ms

sample606.0ms

Algorithm

intervals

Results

269.0ms	7390×	body	80	valid
53.0ms	214×	body	1280	valid
17.0ms	168×	body	640	valid
15.0ms	95×	body	2560	valid
6.0ms	81×	body	320	valid
3.0ms	54×	body	160	valid