Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

482×

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

2.0ms	(+ (* x 2.0) (* x x))
11.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x 2.0) (* x x))
30.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify1.2s

Counts

31 → 31

Iterations

Useful iterations: 3 (379.0ms)

Iter	Nodes	Cost
0	57	440
1	182	340
2	704	308
3	2288	302
done	5000	302

prune57.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow y 2) (* x (+ 2.0 x)))
0.0b	(* x (+ 2.0 x))
0.0b	(* x (+ 2.0 x))
0.1b	(* (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

6.0ms	(+ (pow y 2) (* x (+ 2.0 x)))
9.0ms	(* x (+ 2.0 x))
9.0ms	(* x (+ 2.0 x))
36.0ms	(* (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))))

series152.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (pow y 2) (* x (+ 2.0 x)))
47.0ms	(* x (+ 2.0 x))
46.0ms	(* x (+ 2.0 x))
30.0ms	(* (sqrt (+ (pow y 2) (* x (+ 2.0 x)))) (sqrt (+ (pow y 2) (* x (+ 2.0 x)))))

simplify2.2s

Counts

128 → 128

Iterations

Useful iterations: 3 (841.0ms)

Iter	Nodes	Cost
0	127	2310
1	281	1583
2	916	1495
3	4086	1390
done	5000	1390

prune263.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (log (* x (+ 2.0 x)))) (* y y))
0.0b	(* x (+ 2.0 x))
4.0b	(exp (log (* x (+ 2.0 x))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

28.0ms	(+ (exp (log (* x (+ 2.0 x)))) (* y y))
9.0ms	(* x (+ 2.0 x))
12.0ms	(exp (log (* x (+ 2.0 x))))

series124.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (exp (log (* x (+ 2.0 x)))) (* y y))
42.0ms	(* x (+ 2.0 x))
46.0ms	(exp (log (* x (+ 2.0 x))))

simplify1.4s

Counts

59 → 59

Iterations

Useful iterations: 3 (375.0ms)

Iter	Nodes	Cost
0	95	623
1	241	500
2	729	464
3	2677	460
done	5000	460

prune117.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes75.0ms

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

sample560.0ms

Algorithm

intervals

Results

342.0ms

14354×

body

valid