Details

sample48.0ms

Algorithm

intervals

Results

25.0ms

443×

body

valid

simplify23.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	9	13
1	17	13
2	37	11
3	45	11
done	45	11

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.0b	(+ (* x x) (* (* x 2.0) y))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

42.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
15.0ms	(+ (* x x) (* (* x 2.0) y))

series83.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
50.0ms	(+ (* x x) (* (* x 2.0) y))

simplify2.7s

Counts

30 → 30

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	58	525
1	190	459
2	773	381
3	3577	373
done	5000	373

prune101.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
8.9b	(cbrt (* x (+ (* 2.0 y) x)))
8.9b	(cbrt (* x (+ (* 2.0 y) x)))
8.9b	(cbrt (* x (+ (* 2.0 y) x)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

60.0ms	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
10.0ms	(cbrt (* x (+ (* 2.0 y) x)))
15.0ms	(cbrt (* x (+ (* 2.0 y) x)))
16.0ms	(cbrt (* x (+ (* 2.0 y) x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

407.0ms	(* (cbrt (* x (+ (* 2.0 y) x))) (cbrt (* x (+ (* 2.0 y) x))))
343.0ms	(cbrt (* x (+ (* 2.0 y) x)))
397.0ms	(cbrt (* x (+ (* 2.0 y) x)))
346.0ms	(cbrt (* x (+ (* 2.0 y) x)))

simplify3.6s

Counts

84 → 84

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	97	1396
1	215	1291
2	569	1177
3	1401	1063
4	3566	1039
done	5001	996

prune365.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (+ (* 2.0 y) x))
8.9b	(cbrt (* x (+ (* 2.0 y) x)))
8.9b	(cbrt (* x (+ (* 2.0 y) x)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-*r/` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+`

Counts

4 → 46

Calls

4 calls:

2.0ms	(cbrt x)
11.0ms	(cbrt (+ (* 2.0 y) x))
20.0ms	(cbrt (* x (+ (* 2.0 y) x)))
30.0ms	(cbrt (* x (+ (* 2.0 y) x)))

series1.7s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt x)
549.0ms	(cbrt (+ (* 2.0 y) x))
396.0ms	(cbrt (* x (+ (* 2.0 y) x)))
465.0ms	(cbrt (* x (+ (* 2.0 y) x)))

simplify2.9s

Counts

58 → 58

Iterations

Useful iterations: 4 (1.5s)

Iter	Nodes	Cost
0	106	614
1	233	599
2	529	548
3	1313	524
4	3404	510
done	5000	510

prune296.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	13	13
done	13	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

915.0ms

14215×

body

valid