Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid

simplify9.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite33.0ms

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:

33.0ms

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

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

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

simplify66.0ms

Counts: 16 → 16

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite290.0ms

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:

203.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
30.0ms	(cbrt (+ x (/ (- x y) 2.0)))
25.0ms	(cbrt (+ x (/ (- x y) 2.0)))
29.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

453.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
530.0ms	(cbrt (+ x (/ (- x y) 2.0)))
509.0ms	(cbrt (+ x (/ (- x y) 2.0)))
519.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify48.0ms

Counts: 107 → 107

prune295.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
21.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
32.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
22.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series2.1s

Counts

4 → 12

Calls

4 calls:

545.0ms	(cbrt (+ x (/ (- x y) 2.0)))
519.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
501.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
518.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify94.0ms

Counts: 77 → 77

prune337.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

22.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
26.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
31.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
61.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series2.2s

Counts

4 → 12

Calls

4 calls:

546.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
579.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
563.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))
530.0ms	(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify96.0ms

Counts: 80 → 80

prune437.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

end0.0ms

sample592.0ms

Algorithm

intervals

Results

255.0ms	7375×	body	80	valid
31.0ms	47×	body	160	valid
27.0ms	235×	body	1280	valid
17.0ms	175×	body	640	valid
13.0ms	94×	body	2560	valid
6.0ms	79×	body	320	valid