Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	5×	body	320	valid

simplify5.8s

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

prune3.0ms

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 (/ (- x y) 2.0))

rewrite26.0ms

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:

25.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify1.9s

Counts

16 → 16

Iterations

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

prune83.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite313.0ms

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:

212.0ms	(* (cbrt (+ (/ (- x y) 2.0) x)) (cbrt (+ (/ (- x y) 2.0) x)))
34.0ms	(cbrt (+ (/ (- x y) 2.0) x))
21.0ms	(cbrt (+ (/ (- x y) 2.0) x))
40.0ms	(cbrt (+ (/ (- x y) 2.0) x))

series2.4s

Counts

4 → 12

Calls

4 calls:

585.0ms	(* (cbrt (+ (/ (- x y) 2.0) x)) (cbrt (+ (/ (- x y) 2.0) x)))
571.0ms	(cbrt (+ (/ (- x y) 2.0) x))
571.0ms	(cbrt (+ (/ (- x y) 2.0) x))
703.0ms	(cbrt (+ (/ (- x y) 2.0) x))

simplify1.0s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	877
1	285
0	129

prune559.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite89.0ms

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:

32.0ms	(cbrt (+ (/ (- x y) 2.0) x))
16.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
16.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
22.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.5s

Counts

4 → 12

Calls

4 calls:

646.0ms	(cbrt (+ (/ (- x y) 2.0) x))
618.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
608.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
600.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify682.0ms

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
3	1332
2	513
1	232
0	118

prune574.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
21×	`*-un-lft-identity`
18×	`cbrt-div`
13×	`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 → 71

Calls

4 calls:

17.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
16.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
33.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
27.0ms	(cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0)))))

series2.5s

Counts

4 → 12

Calls

4 calls:

595.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
612.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
609.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
649.0ms	(cbrt (cbrt (cbrt (+ x (/ (- x y) 2.0)))))

simplify707.0ms

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	1182
2	460
1	216
0	113

prune727.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes225.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample690.0ms

Algorithm

intervals

Results

306.0ms	7408×	body	80	valid
57.0ms	204×	body	1280	valid
18.0ms	99×	body	2560	valid
17.0ms	150×	body	640	valid
9.0ms	98×	body	320	valid
3.0ms	42×	body	160	valid