Details

sample78.0ms

Algorithm

intervals

Results

42.0ms

680×

body

valid

simplify165.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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:

36.0ms

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

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

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

simplify42.0ms

Counts: 26 → 26

prune138.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

8.5b	(sqrt (pow x 4.0))
8.5b	(sqrt (pow x 4.0))
14.2b	(sqrt (pow y 4.0))
14.2b	(sqrt (pow y 4.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`sqrt-prod`
20×	`add-sqr-sqrt`
16×	`unpow-prod-down`
12×	`add-cube-cbrt` `rem-sqrt-square` `*-un-lft-identity`
8×	`sqr-pow`
4×	`pow1` `add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

5.0ms	(sqrt (pow x 4.0))
3.0ms	(sqrt (pow x 4.0))
8.0ms	(sqrt (pow y 4.0))
4.0ms	(sqrt (pow y 4.0))

series2.3s

Counts

4 → 12

Calls

4 calls:

537.0ms	(sqrt (pow x 4.0))
567.0ms	(sqrt (pow x 4.0))
596.0ms	(sqrt (pow y 4.0))
609.0ms	(sqrt (pow y 4.0))

simplify43.0ms

Counts: 88 → 88

prune511.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
19.1b	(cbrt (- (pow x 4.0) (pow y 4.0)))
19.1b	(cbrt (- (pow x 4.0) (pow y 4.0)))
19.1b	(cbrt (- (pow x 4.0) (pow y 4.0)))

rewrite334.0ms

Algorithm

rewrite-expression-head

Rules

107×	`add-sqr-sqrt`
106×	`cbrt-prod`
63×	`difference-of-squares`
56×	`unpow-prod-down`
49×	`*-un-lft-identity`
42×	`sqr-pow`
19×	`swap-sqr`
18×	`cbrt-div`
17×	`associate-r` `associate-l`
16×	`distribute-lft-out--`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log`
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 → 155

Calls

4 calls:

233.0ms	(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
25.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
34.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
26.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))

series530.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (- (pow x 4.0) (pow y 4.0))) (cbrt (- (pow x 4.0) (pow y 4.0))))
132.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
117.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))
156.0ms	(cbrt (- (pow x 4.0) (pow y 4.0)))

simplify127.0ms

Counts: 167 → 167

prune849.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify146.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

980.0ms

20632×

body

valid