Details

sample29.0ms

Algorithm

intervals

Results

14.0ms

483×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5
done	46	5

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite41.0ms

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:

32.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
8.0ms	(+ (* x x) (* (* x 2.0) y))

series65.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
40.0ms	(+ (* x x) (* (* x 2.0) y))

simplify156.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	191	234
1	998	212
2	4902	196
3	5002	196
done	5002	196

prune63.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (pow x 2) (* y (+ (* x 2.0) y)))
0.0b	(* y (+ (* x 2.0) y))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

13.0ms	(+ (pow x 2) (* y (+ (* x 2.0) y)))
24.0ms	(* y (+ (* x 2.0) y))

series64.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (pow x 2) (* y (+ (* x 2.0) y)))
40.0ms	(* y (+ (* x 2.0) y))

simplify38.0ms

Counts

41 → 41

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	216	231
1	1074	212
2	5002	212
done	5002	212

prune73.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
8.8b	(cbrt (+ (* x x) (* (* x 2.0) y)))
8.8b	(cbrt (+ (* x x) (* (* x 2.0) y)))
8.8b	(cbrt (+ (* x x) (* (* x 2.0) y)))

rewrite62.0ms

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:

44.0ms	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
5.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
5.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
5.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

453.0ms	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
253.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
254.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
249.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

simplify94.0ms

Counts

99 → 99

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	218	1168
1	753	1089
2	3137	1014
3	5002	1007
done	5002	1007

prune254.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5
done	13	5

end0.0ms

sample688.0ms

Algorithm

intervals

Results

367.0ms

14301×

body

valid