Details

sample43.0ms

Algorithm

intervals

Results

18.0ms

358×

body

valid

simplify69.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	87
5	87
4	81
3	57
2	36
1	18
0	7

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r*` `add-exp-log` `add-cube-cbrt` `add-log-exp`
3×	`associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

21.0ms	(* 2.0 (+ (* x x) (* x y)))
7.0ms	(+ (* x x) (* x y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* 2.0 (+ (* x x) (* x y)))
41.0ms	(+ (* x x) (* x y))

simplify697.0ms

Counts

41 → 41

Iterations

Iter	Nodes
done	5002
2	1226
1	218
0	62

prune280.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

28.0ms

(+ (* x (* x 2.0)) (* y (* x 2.0)))

series89.0ms

Counts

1 → 3

Calls

1 calls:

89.0ms

(+ (* x (* x 2.0)) (* y (* x 2.0)))

simplify742.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
2	684
1	117
0	35

prune88.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (+ y x) x)) (cbrt (* (+ y x) x)))
5.4b	(cbrt (+ (* x x) (* x y)))
5.4b	(cbrt (* (+ y x) x))
5.4b	(cbrt (* (+ y x) x))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

34.0ms	(* (cbrt (* (+ y x) x)) (cbrt (* (+ y x) x)))
8.0ms	(cbrt (+ (* x x) (* x y)))
11.0ms	(cbrt (* (+ y x) x))
11.0ms	(cbrt (* (+ y x) x))

series983.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(* (cbrt (* (+ y x) x)) (cbrt (* (+ y x) x)))
233.0ms	(cbrt (+ (* x x) (* x y)))
240.0ms	(cbrt (* (+ y x) x))
247.0ms	(cbrt (* (+ y x) x))

simplify975.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1980
1	411
0	162

prune639.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes103.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	7

end0.0ms

sample943.0ms

Algorithm

intervals

Results

552.0ms

11029×

body

valid