Details

sample33.0ms

Algorithm

intervals

Results

10.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid

simplify4.8s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

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:

29.0ms

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

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(+ 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

prune104.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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` `flip--`

Counts

1 → 12

Calls

1 calls:

6.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify1.7s

Counts

15 → 15

Iterations

Iter	Nodes
done	5001
4	2527
3	884
2	274
1	88
0	29

prune77.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

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)))

rewrite221.0ms

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:

154.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
27.0ms	(cbrt (+ x (/ (- x y) 2.0)))
19.0ms	(cbrt (+ x (/ (- x y) 2.0)))
15.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

521.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
515.0ms	(cbrt (+ x (/ (- x y) 2.0)))
517.0ms	(cbrt (+ x (/ (- x y) 2.0)))
559.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify1.5s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	888
1	285
0	129

prune601.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize102.0ms

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)))

rewrite95.0ms

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-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

16.0ms	(cbrt (+ x (/ (- x y) 2.0)))
15.0ms	(cbrt (+ x (/ (- x y) 2.0)))
32.0ms	(cbrt (+ x (/ (- x y) 2.0)))
31.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series2.1s

Counts

4 → 12

Calls

4 calls:

528.0ms	(cbrt (+ x (/ (- x y) 2.0)))
486.0ms	(cbrt (+ x (/ (- x y) 2.0)))
470.0ms	(cbrt (+ x (/ (- x y) 2.0)))
634.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify2.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
4	4259
3	905
2	326
1	145
0	68

prune439.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes246.0ms

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	7
1	7
0	6

end0.0ms

sample739.0ms

Algorithm

intervals

Results

368.0ms	7322×	body	80	valid
35.0ms	235×	body	1280	valid
21.0ms	123×	body	2560	valid
19.0ms	160×	body	640	valid
9.0ms	111×	body	320	valid
3.0ms	50×	body	160	valid