Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	236×	body	80	valid
1.0ms	9×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	5×	body	640	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	320	valid

simplify5.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4327
8	1259
7	477
6	204
5	93
4	40
3	29
2	19
1	12
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 13

Calls

1 calls:

35.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify2.0s

Counts

16 → 16

Iterations

Iter	Nodes
done	5000
4	3912
3	803
2	250
1	92
0	34

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite358.0ms

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×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

238.0ms	(* (cbrt (+ (/ (- x y) 2.0) x)) (cbrt (+ (/ (- x y) 2.0) x)))
36.0ms	(cbrt (+ (/ (- x y) 2.0) x))
39.0ms	(cbrt (+ (/ (- x y) 2.0) x))
38.0ms	(cbrt (+ (/ (- x y) 2.0) x))

series2.3s

Counts

4 → 12

Calls

4 calls:

539.0ms	(* (cbrt (+ (/ (- x y) 2.0) x)) (cbrt (+ (/ (- x y) 2.0) x)))
551.0ms	(cbrt (+ (/ (- x y) 2.0) x))
607.0ms	(cbrt (+ (/ (- x y) 2.0) x))
568.0ms	(cbrt (+ (/ (- x y) 2.0) x))

simplify1.1s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	877
1	285
0	129

prune607.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
19×	`*-un-lft-identity`
14×	`cbrt-div`
11×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 65

Calls

4 calls:

18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
16.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
26.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
17.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.4s

Counts

4 → 12

Calls

4 calls:

628.0ms	(cbrt (+ x (/ (- x y) 2.0)))
596.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
556.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
622.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify698.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	1203
2	447
1	201
0	99

prune581.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (cbrt (+ (/ (- x y) 2.0) x)))
0.6b	(cbrt (cbrt (+ (/ (- x y) 2.0) x)))
1.2b	(pow (cbrt (cbrt (+ (/ (- x y) 2.0) x))) (* 2 3))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

17.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
22.0ms	(cbrt (cbrt (+ (/ (- x y) 2.0) x)))
31.0ms	(cbrt (cbrt (+ (/ (- x y) 2.0) x)))
73.0ms	(pow (cbrt (cbrt (+ (/ (- x y) 2.0) x))) (* 2 3))

series3.0s

Counts

4 → 12

Calls

4 calls:

592.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
621.0ms	(cbrt (cbrt (+ (/ (- x y) 2.0) x)))
681.0ms	(cbrt (cbrt (+ (/ (- x y) 2.0) x)))
1.1s	(pow (cbrt (cbrt (+ (/ (- x y) 2.0) x))) (* 2 3))

simplify2.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4762
2	1095
1	394
0	173

prune803.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes315.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample634.0ms

Algorithm

intervals

Results

317.0ms	7400×	body	80	valid
28.0ms	215×	body	1280	valid
18.0ms	172×	body	640	valid
16.0ms	101×	body	2560	valid
7.0ms	77×	body	320	valid
2.0ms	41×	body	160	valid