Details

sample32.0ms

Algorithm

intervals

Results

18.0ms

620×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	14	7
2	29	7
3	69	7
4	181	7
5	567	7
6	2495	7
done	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (pow x 4.0) (pow y 4.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
9×	`difference-of-squares`
8×	`unpow-prod-down`
6×	`sqr-pow`
5×	`*-un-lft-identity`
3×	`add-log-exp`
2×	`distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 23

Calls

1 calls:

10.0ms

(- (pow x 4.0) (pow y 4.0))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(- (pow x 4.0) (pow y 4.0))

simplify2.4s

Counts

26 → 26

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	61	356
1	127	345
2	304	331
3	953	331
4	4378	331
done	5000	331

prune64.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
0.3b	(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
10.4b	(sqrt (pow y 4.0))
10.4b	(sqrt (pow y 4.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
23×	`sqrt-prod`
16×	`-un-lft-identity` `associate-r*`
15×	`unpow-prod-down`
12×	`difference-of-squares`
11×	`sqr-pow`
10×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `rem-sqrt-square` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `flip3-+` `associate-l` `flip-+`
3×	`flip3--` `flip--`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

10.0ms	(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
78.0ms	(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
2.0ms	(sqrt (pow y 4.0))
2.0ms	(sqrt (pow y 4.0))

series800.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0)))
59.0ms	(* (+ (pow x (/ 4.0 2)) (sqrt (pow y 4.0))) (- (pow x (/ 4.0 2)) (sqrt (pow y 4.0))))
349.0ms	(sqrt (pow y 4.0))
346.0ms	(sqrt (pow y 4.0))

simplify515.0ms

Counts

106 → 106

Iterations

Useful iterations: done (512.0ms)

Iter	Nodes	Cost
0	141	1959
1	353	1637
2	1267	1539
done	5002	1533

prune299.0ms

Pruning

2 alts after pruning (0 fresh and 2 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
done	6	7

end0.0ms

sample928.0ms

Algorithm

intervals

Results

585.0ms

20313×

body

valid