Details

sample16.0ms

Algorithm

intervals

Results

5.0ms	238×	body	80	valid
0.0ms	4×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	4×	body	2560	valid
0.0ms	4×	body	320	valid

simplify92.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:

20.0ms

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify1.0s

Counts: 16 → 16

prune37.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3-+` `diff-log` `sum-log` `frac-sub` `add-cbrt-cube` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `times-frac` `associate--l+` `flip--`

Counts

2 → 32

Calls

2 calls:

10.0ms	(+ x (/ x 2.0))
90.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ x 2.0))
40.0ms	(- (+ x (/ x 2.0)) (/ y 2.0))

simplify628.0ms

Counts: 38 → 38

prune88.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

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:

104.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
17.0ms	(cbrt (+ x (/ x 2.0)))
12.0ms	(cbrt (+ x (/ x 2.0)))
12.0ms	(cbrt (+ x (/ x 2.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

355.0ms	(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
293.0ms	(cbrt (+ x (/ x 2.0)))
275.0ms	(cbrt (+ x (/ x 2.0)))
281.0ms	(cbrt (+ x (/ x 2.0)))

simplify1.0s

Counts: 107 → 107

prune356.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (+ x (/ x 2.0)))
0.6b	(cbrt (cbrt (+ x (/ x 2.0))))
0.6b	(cbrt (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))))

rewrite69.0ms

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×	`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 → 62

Calls

4 calls:

8.0ms	(cbrt (+ x (/ x 2.0)))
8.0ms	(cbrt (+ x (/ x 2.0)))
9.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
41.0ms	(cbrt (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))))

series1.8s

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt (+ x (/ x 2.0)))
295.0ms	(cbrt (+ x (/ x 2.0)))
582.0ms	(cbrt (cbrt (+ x (/ x 2.0))))
603.0ms	(cbrt (* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0)))))

simplify1.6s

Counts: 74 → 74

prune365.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes113.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify134.0ms

end0.0ms

sample664.0ms

Algorithm

intervals

Results

311.0ms	7397×	body	80	valid
28.0ms	208×	body	1280	valid
18.0ms	175×	body	640	valid
16.0ms	102×	body	2560	valid
6.0ms	77×	body	320	valid
2.0ms	44×	body	160	valid