Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

349×

body

valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	7	9
1	18	7
2	36	7
3	57	7
4	81	7
5	87	7
done	87	7

prune4.0ms

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

46.0ms	(* 2.0 (+ (* x x) (* x y)))
8.0ms	(+ (* x x) (* x y))

series112.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* 2.0 (+ (* x x) (* x y)))
44.0ms	(+ (* x x) (* x y))

simplify974.0ms

Counts

41 → 41

Iterations

Useful iterations: done (972.0ms)

Iter	Nodes	Cost
0	62	487
1	218	399
2	1203	337
done	5001	335

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

55.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

62.0ms

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

simplify1.1s

Counts

26 → 26

Iterations

Useful iterations: 2 (168.0ms)

Iter	Nodes	Cost
0	57	270
1	177	249
2	1382	209
done	5001	209

prune77.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y))))
7.3b	(cbrt (* (* 2.0 x) (+ x y)))
7.3b	(cbrt (* (* 2.0 x) (+ x y)))
7.3b	(cbrt (* (* 2.0 x) (+ x y)))

rewrite129.0ms

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:

61.0ms	(* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y))))
21.0ms	(cbrt (* (* 2.0 x) (+ x y)))
29.0ms	(cbrt (* (* 2.0 x) (+ x y)))
16.0ms	(cbrt (* (* 2.0 x) (+ x y)))

series1.6s

Counts

4 → 12

Calls

4 calls:

482.0ms	(* (cbrt (* (* 2.0 x) (+ x y))) (cbrt (* (* 2.0 x) (+ x y))))
380.0ms	(cbrt (* (* 2.0 x) (+ x y)))
343.0ms	(cbrt (* (* 2.0 x) (+ x y)))
360.0ms	(cbrt (* (* 2.0 x) (+ x y)))

simplify660.0ms

Counts

84 → 84

Iterations

Useful iterations: done (658.0ms)

Iter	Nodes	Cost
0	94	1352
1	241	1237
2	1006	1121
done	5000	1049

prune325.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 2.0 x) (+ x y))
0.3b	(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
6.9b	(sqrt (* (* 2.0 x) (+ x y)))
6.9b	(sqrt (* (* 2.0 x) (+ x y)))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
20×	`associate-*r/`
17×	`pow-prod-up`
16×	`sqrt-div`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `*-un-lft-identity` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
8×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`frac-times` `swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`associate-l/` `-commutative`
1×	`pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

56.0ms	(* (* 2.0 x) (+ x y))
214.0ms	(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
16.0ms	(sqrt (* (* 2.0 x) (+ x y)))
29.0ms	(sqrt (* (* 2.0 x) (+ x y)))

series675.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* (* 2.0 x) (+ x y))
185.0ms	(* (sqrt (* (* 2.0 x) (+ x y))) (sqrt (* (* 2.0 x) (+ x y))))
226.0ms	(sqrt (* (* 2.0 x) (+ x y)))
191.0ms	(sqrt (* (* 2.0 x) (+ x y)))

simplify2.4s

Counts

137 → 137

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	140	1865
1	382	1384
2	2618	1249
done	5002	1196

prune297.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes74.0ms

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	6	7
1	9	7
done	9	7

end0.0ms

sample853.0ms

Algorithm

intervals

Results

519.0ms

11228×

body

valid