Details

sample21.0ms

Algorithm

intervals

Results

10.0ms	241×	body	80	valid
1.0ms	6×	body	2560	valid
1.0ms	3×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	640	valid

simplify4.4s

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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-+` `insert-posit16` `distribute-lft-out`

Counts

1 → 14

Calls

1 calls:

12.0ms

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

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify1.9s

Counts

17 → 17

Iterations

Iter	Nodes
done	5001
4	3920
3	794
2	249
1	93
0	35

prune72.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `sub-neg` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--`

Counts

1 → 13

Calls

1 calls:

7.0ms

(- (* 1.5 x) (* 0.5 y))

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

(- (* 1.5 x) (* 0.5 y))

simplify1.4s

Counts

16 → 16

Iterations

Iter	Nodes
done	5002
4	2587
3	889
2	275
1	89
0	30

prune46.0ms

Pruning

5 alts after pruning (4 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))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite120.0ms

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` `insert-posit16` `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 → 99

Calls

4 calls:

81.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
15.0ms	(cbrt (+ x (/ (- x y) 2.0)))
13.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.0s

Counts

4 → 12

Calls

4 calls:

433.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
583.0ms	(cbrt (+ x (/ (- x y) 2.0)))
558.0ms	(cbrt (+ x (/ (- x y) 2.0)))
446.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify2.8s

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
3	3988
2	833
1	287
0	131

prune537.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod` `*-un-lft-identity`
8×	`add-sqr-sqrt` `cbrt-div` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `distribute-lft-out` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
24.0ms	(cbrt (+ x (/ (- x y) 2.0)))
18.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.5s

Counts

4 → 12

Calls

4 calls:

639.0ms	(cbrt (+ x (/ (- x y) 2.0)))
622.0ms	(cbrt (+ x (/ (- x y) 2.0)))
642.0ms	(cbrt (+ x (/ (- x y) 2.0)))
605.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
4	4243
3	908
2	327
1	146
0	69

prune415.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
1	9
0	7

end0.0ms

sample787.0ms

Algorithm

intervals

Results

467.0ms	7401×	body	80	valid
55.0ms	155×	body	640	valid
55.0ms	217×	body	1280	valid
25.0ms	86×	body	2560	valid
14.0ms	94×	body	320	valid
5.0ms	49×	body	160	valid