Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

465×

body

valid

simplify10.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	11
1	15	9
2	23	9
3	25	9
done	25	9

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`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` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* y y) (* x (+ 2.0 x)))
10.0ms	(* x (+ 2.0 x))

series75.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ (* y y) (* x (+ 2.0 x)))
42.0ms	(* x (+ 2.0 x))

simplify1.9s

Counts

42 → 42

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	70	422
1	203	386
2	781	350
3	3796	350
done	5001	350

prune75.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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-+r+` `distribute-rgt-out`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+ (* y y) (+ (* 2.0 x) (* x x)))
3.0ms	(+ (* 2.0 x) (* x x))

series83.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (* y y) (+ (* 2.0 x) (* x x)))
54.0ms	(+ (* 2.0 x) (* x x))

simplify1.2s

Counts

31 → 31

Iterations

Useful iterations: 3 (317.0ms)

Iter	Nodes	Cost
0	56	440
1	189	338
2	716	304
3	2558	302
done	5000	302

prune51.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.0b	(+ (* y y) (* x (+ 2.0 x)))
0.1b	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
21×	`pow1`
18×	`sqrt-prod`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
12×	`sqrt-div`
10×	`associate-r`
9×	`flip3-+` `associate-l` `flip-+`
8×	`add-exp-log` `sqrt-pow1` `pow1/2` `swap-sqr` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `associate-+r+` `associate-*r/` `pow-prod-down`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-sqr`
2×	`+-commutative` `associate-l/` `prod-exp` `sum-log` `-commutative` `cbrt-unprod`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

10.0ms	(* x (+ 2.0 x))
3.0ms	(+ (* y y) (* x (+ 2.0 x)))
3.0ms	(+ (* y y) (* x (+ 2.0 x)))
20.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

series137.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* x (+ 2.0 x))
30.0ms	(+ (* y y) (* x (+ 2.0 x)))
30.0ms	(+ (* y y) (* x (+ 2.0 x)))
33.0ms	(* (sqrt (+ (* y y) (* x (+ 2.0 x)))) (sqrt (+ (* y y) (* x (+ 2.0 x)))))

simplify506.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	128	2344
1	290	1665
2	1109	1465
done	5000	1465

prune192.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y y) (* x (+ 2.0 x)))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.6b	(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
30.5b	(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
25×	`add-sqr-sqrt`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
17×	`pow-prod-down`
15×	`add-cube-cbrt` `*-un-lft-identity` `difference-of-squares`
14×	`associate-*r/`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`prod-exp` `cbrt-unprod` `add-log-exp`
6×	`flip3-+` `flip-+` `associate-/l*` `associate--r+`
5×	`unpow-prod-down` `sqr-pow`
4×	`frac-times` `flip3--` `pow-sqr` `pow-prod-up` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `pow-plus` `diff-log` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow2` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `associate-r` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

4 → 123

Calls

4 calls:

3.0ms	(- (* y y) (* x (+ 2.0 x)))
23.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
7.0ms	(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
21.0ms	(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

series233.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* y y) (* x (+ 2.0 x)))
29.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
76.0ms	(- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x))))
94.0ms	(/ (- (pow y 4) (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (- (* y y) (* x (+ 2.0 x))))

simplify776.0ms

Counts

135 → 135

Iterations

Useful iterations: 2 (226.0ms)

Iter	Nodes	Cost
0	210	3177
1	588	2912
2	2465	2672
done	5000	2672

prune260.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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	8	11
1	11	11
done	11	11

end0.0ms

sample556.0ms

Algorithm

intervals

Results

336.0ms

14336×

body

valid