Details

sample66.0ms

Algorithm

intervals

Results

33.0ms

456×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 1 expressions with local error:

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

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `insert-posit16`

Counts

1 → 12

Calls

1 calls:

36.0ms

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

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

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

simplify3.4s

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
3	1582
2	347
1	101
0	31

prune135.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize123.0ms

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))))
6.1b	(sqrt (+ (* x x) (* y y)))
6.1b	(sqrt (+ (* x x) (* y y)))

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-cbrt-cube` `associate-r` `associate-l` `add-exp-log` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `insert-posit16` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-l/` `associate-r/`
1×	`pow2` `+-commutative` `sum-log` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 102

Calls

4 calls:

36.0ms	(+ (* x x) (* y y))
159.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
25.0ms	(sqrt (+ (* x x) (* y y)))
17.0ms	(sqrt (+ (* x x) (* y y)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(+ (* x x) (* y y))
71.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
62.0ms	(sqrt (+ (* x x) (* y y)))
68.0ms	(sqrt (+ (* x x) (* y y)))

simplify4.3s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
3	1500
2	497
1	225
0	95

prune874.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize197.0ms

Local error

Found 4 expressions with local error:

6.1b	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
6.7b	(cbrt (+ (* x x) (* y y)))
6.7b	(cbrt (+ (* x x) (* y y)))
6.7b	(cbrt (+ (* x x) (* y y)))

rewrite251.0ms

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` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 93

Calls

4 calls:

189.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
11.0ms	(cbrt (+ (* x x) (* y y)))
15.0ms	(cbrt (+ (* x x) (* y y)))
24.0ms	(cbrt (+ (* x x) (* y y)))

series730.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(sqrt (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))))
240.0ms	(cbrt (+ (* x x) (* y y)))
197.0ms	(cbrt (+ (* x x) (* y y)))
209.0ms	(cbrt (+ (* x x) (* y y)))

simplify4.8s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
4	2402
3	941
2	477
1	288
0	166

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes617.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

735.0ms

14314×

body

valid