Details

sample44.0ms

Algorithm

intervals

Results

20.0ms

484×

body

valid

simplify23.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

18.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify941.0ms

Counts: 14 → 14

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

22.0ms	(+ (* x x) (* y y))
74.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
18.0ms	(sqrt (+ (* x x) (* y y)))
27.0ms	(sqrt (+ (* x x) (* y y)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(+ (* x x) (* y y))
55.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
62.0ms	(sqrt (+ (* x x) (* y y)))
79.0ms	(sqrt (+ (* x x) (* y y)))

simplify627.0ms

Counts: 110 → 110

prune363.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

6.9b	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
7.5b	(cbrt (+ (* x x) (* y y)))
7.5b	(cbrt (+ (* x x) (* y y)))
7.5b	(cbrt (+ (* x x) (* y y)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

118.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
5.0ms	(cbrt (+ (* x x) (* y y)))
9.0ms	(cbrt (+ (* x x) (* y y)))
11.0ms	(cbrt (+ (* x x) (* y y)))

series598.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
153.0ms	(cbrt (+ (* x x) (* y y)))
201.0ms	(cbrt (+ (* x x) (* y y)))
181.0ms	(cbrt (+ (* x x) (* y y)))

simplify995.0ms

Counts: 101 → 101

prune380.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))
0.7b	(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
6.9b	(sqrt (+ (* x x) (* y y)))
6.9b	(sqrt (+ (* x x) (* y y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

93×	`sqrt-prod`
70×	`add-sqr-sqrt`
32×	`sqrt-div`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-l` `unswap-sqr`
23×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log`
9×	`flip3-+` `associate-r` `flip-+`
8×	`cube-div`
7×	`add-cbrt-cube`
6×	`sqrt-pow1`
5×	`pow-pow` `sqr-pow`
4×	`frac-times` `pow1/2` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `rem-sqrt-square` `unpow3` `associate-r/` `associate-l/` `pow-exp`
1×	`pow-plus` `*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 151

Calls

4 calls:

110.0ms	(* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))
15.0ms	(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
10.0ms	(sqrt (+ (* x x) (* y y)))
9.0ms	(sqrt (+ (* x x) (* y y)))

series330.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (sqrt (sqrt (+ (* x x) (* y y)))))
161.0ms	(pow (sqrt (sqrt (+ (* x x) (* y y)))) 3)
63.0ms	(sqrt (+ (* x x) (* y y)))
66.0ms	(sqrt (+ (* x x) (* y y)))

simplify1.0s

Counts: 163 → 163

prune507.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify13.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

890.0ms

14295×

body

valid