Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	123
1	12	123
2	19	123
3	29	123
4	40	123
5	93	123
6	204	123
7	477	123
8	1259	123
9	4327	123
done	5000	123

prune7.0ms

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))

rewrite34.0ms

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:

34.0ms

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

series73.0ms

Counts

1 → 3

Calls

1 calls:

73.0ms

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

simplify2.2s

Counts

16 → 16

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	34	3354
1	92	2983
2	250	2983
3	803	2983
4	3912	2983
done	5000	2983

prune94.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

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:

141.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
16.0ms	(cbrt (+ x (/ (- x y) 2.0)))
16.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.2s

Counts

4 → 12

Calls

4 calls:

548.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
564.0ms	(cbrt (+ x (/ (- x y) 2.0)))
530.0ms	(cbrt (+ x (/ (- x y) 2.0)))
550.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.4s

Counts

107 → 107

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	129	42217
1	285	37840
2	888	37680
done	5000	37000

prune484.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
20×	`cbrt-prod`
14×	`*-un-lft-identity`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`frac-times` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-l/` `associate-r/`

Counts

4 → 62

Calls

4 calls:

32.0ms	(cbrt (+ x (/ (- x y) 2.0)))
20.0ms	(cbrt (+ x (/ (- x y) 2.0)))
40.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
19.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.4s

Counts

4 → 12

Calls

4 calls:

674.0ms	(cbrt (+ x (/ (- x y) 2.0)))
551.0ms	(cbrt (+ x (/ (- x y) 2.0)))
609.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
608.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify1.3s

Counts

74 → 74

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	153	36730
1	286	33438
2	621	33278
3	1603	32638
done	5001	31248

prune457.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b	(- x (/ (- x y) 2.0))
12.2b	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
27.6b	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-sqr-sqrt`
110×	`*-un-lft-identity`
106×	`times-frac`
56×	`add-cube-cbrt`
32×	`difference-of-squares`
25×	`swap-sqr`
24×	`distribute-lft-out--`
19×	`associate-r` `associate-l`
18×	`add-cbrt-cube` `add-exp-log`
11×	`pow1`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`flip3--` `prod-exp` `cbrt-unprod` `flip--` `associate-/l*` `unswap-sqr`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `associate-/l/`
1×	`pow2` `frac-times` `clear-num` `frac-2neg` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `associate--r-`

Counts

4 → 171

Calls

4 calls:

65.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
28.0ms	(- x (/ (- x y) 2.0))
10.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
64.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (/ (- x y) 2.0) (/ (- x y) 2.0))
44.0ms	(- x (/ (- x y) 2.0))
45.0ms	(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
129.0ms	(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify960.0ms

Counts

183 → 183

Iterations

Useful iterations: done (932.0ms)

Iter	Nodes	Cost
0	260	63014
1	847	56519
done	5001	55034

prune606.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes176.0ms

Accuracy

0% (0.1b 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	6	123
1	7	123
done	7	123

end0.0ms

sample467.0ms

Algorithm

intervals

Results

255.0ms	7373×	body	80	valid
33.0ms	230×	body	1280	valid
13.0ms	162×	body	640	valid
12.0ms	94×	body	2560	valid
5.0ms	88×	body	320	valid
2.0ms	54×	body	160	valid