Details

sample44.0ms

Algorithm

intervals

Results

19.0ms

441×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

prune3.0ms

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

rewrite17.0ms

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:

17.0ms

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

series63.0ms

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify593.0ms

Counts

14 → 14

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	30	166
1	118	161
2	674	131
done	5000	131

prune421.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(+ (* x x) (* y y))
4.4b	(sqrt (+ (* x x) (* y y)))
4.4b	(sqrt (+ (* x x) (* y y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 52

Calls

4 calls:

15.0ms	(+ (* x x) (* y y))
8.0ms	(+ (* x x) (* y y))
9.0ms	(sqrt (+ (* x x) (* y y)))
8.0ms	(sqrt (+ (* x x) (* y y)))

series178.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x x) (* y y))
34.0ms	(+ (* x x) (* y y))
48.0ms	(sqrt (+ (* x x) (* y y)))
55.0ms	(sqrt (+ (* x x) (* y y)))

simplify520.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (126.0ms)

Iter	Nodes	Cost
0	48	758
1	143	694
2	758	590
done	5000	590

prune193.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.3b	(pow (+ (* x x) (* y y)) 3)
32.9b	(cbrt (pow (+ (* x x) (* y y)) 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

8.0ms	(+ (* x x) (* y y))
13.0ms	(pow (+ (* x x) (* y y)) 3)
23.0ms	(cbrt (pow (+ (* x x) (* y y)) 3))

series159.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x x) (* y y))
79.0ms	(pow (+ (* x x) (* y y)) 3)
43.0ms	(cbrt (pow (+ (* x x) (* y y)) 3))

simplify1.7s

Counts

68 → 68

Iterations

Useful iterations: 2 (362.0ms)

Iter	Nodes	Cost
0	88	1078
1	304	879
2	2065	765
done	5000	765

prune174.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	8	17
done	8	17

end0.0ms

sample969.0ms

Algorithm

intervals

Results

451.0ms

14247×

body

valid