Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

338×

body

valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	12	7
3	13	7
done	13	7

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 25

Calls

2 calls:

8.0ms	(+ (* x x) y)
65.0ms	(+ (+ (* x x) y) y)

series81.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* x x) y)
44.0ms	(+ (+ (* x x) y) y)

simplify471.0ms

Counts

31 → 31

Iterations

Useful iterations: done (470.0ms)

Iter	Nodes	Cost
0	48	310
1	163	303
2	755	262
done	5000	252

prune89.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (* 2 y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

24.0ms

(+ (* x x) (* 2 y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(+ (* x x) (* 2 y))

simplify3.2s

Counts

14 → 14

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	29	166
1	112	159
2	516	135
3	3221	135
done	5002	135

prune74.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y))))
0.5b	(cbrt (+ (* x x) (* 2 y)))
0.5b	(cbrt (+ (* x x) (* 2 y)))
0.5b	(cbrt (+ (* x x) (* 2 y)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

68.0ms	(* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y))))
5.0ms	(cbrt (+ (* x x) (* 2 y)))
8.0ms	(cbrt (+ (* x x) (* 2 y)))
17.0ms	(cbrt (+ (* x x) (* 2 y)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (cbrt (+ (* x x) (* 2 y))) (cbrt (+ (* x x) (* 2 y))))
141.0ms	(cbrt (+ (* x x) (* 2 y)))
121.0ms	(cbrt (+ (* x x) (* 2 y)))
167.0ms	(cbrt (+ (* x x) (* 2 y)))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	109	1958
1	269	1811
2	1042	1615
done	5000	1500

prune548.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 2 y) (* x x))) (cbrt (+ (* 2 y) (* x x))))
0.5b	(cbrt (+ (* x x) (* 2 y)))
0.5b	(cbrt (+ (* 2 y) (* x x)))
0.5b	(cbrt (+ (* 2 y) (* x x)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

71.0ms	(* (cbrt (+ (* 2 y) (* x x))) (cbrt (+ (* 2 y) (* x x))))
10.0ms	(cbrt (+ (* x x) (* 2 y)))
11.0ms	(cbrt (+ (* 2 y) (* x x)))
10.0ms	(cbrt (+ (* 2 y) (* x x)))

series1.8s

Counts

4 → 12

Calls

4 calls:

619.0ms	(* (cbrt (+ (* 2 y) (* x x))) (cbrt (+ (* 2 y) (* x x))))
114.0ms	(cbrt (+ (* x x) (* 2 y)))
582.0ms	(cbrt (+ (* 2 y) (* x x)))
509.0ms	(cbrt (+ (* 2 y) (* x x)))

simplify987.0ms

Counts

99 → 99

Iterations

Useful iterations: done (983.0ms)

Iter	Nodes	Cost
0	170	2004
1	408	1796
2	1627	1649
done	5000	1524

prune520.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes112.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample716.0ms

Algorithm

intervals

Results

341.0ms

10624×

body

valid