Details

sample32.0ms

Algorithm

intervals

Results

18.0ms

449×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite20.0ms

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:

20.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify1.4s

Counts

15 → 15

Iterations

Iter	Nodes
done	5007
3	1510
2	348
1	101
0	31

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

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))))
6.8b	(sqrt (+ (* x x) (* y y)))
6.8b	(sqrt (+ (* x x) (* y y)))

rewrite79.0ms

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:

10.0ms	(+ (* x x) (* y y))
53.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
8.0ms	(sqrt (+ (* x x) (* y y)))
6.0ms	(sqrt (+ (* x x) (* y y)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x x) (* y y))
29.0ms	(* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
54.0ms	(sqrt (+ (* x x) (* y y)))
51.0ms	(sqrt (+ (* x x) (* y y)))

simplify1.6s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
3	1610
2	553
1	226
0	95

prune343.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.1b	(* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
0.2b	(* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
36.0b	(cbrt (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

61×	`flip3-+` `flip-+`
60×	`frac-times`
30×	`associate-*r/`
26×	`cbrt-div`
25×	`pow1`
18×	`associate-*l/`
12×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `pow-prod-up` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `insert-posit16`
3×	`swap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `*-commutative` `unswap-sqr`
1×	`cbrt-prod` `+-commutative` `sum-log` `pow1/3` `rem-cbrt-cube`

Counts

4 → 140

Calls

4 calls:

11.0ms	(+ (* x x) (* y y))
91.0ms	(* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
39.0ms	(* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
53.0ms	(cbrt (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))

series203.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x x) (* y y))
85.0ms	(* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
45.0ms	(* (+ (* x x) (* y y)) (+ (* x x) (* y y)))
41.0ms	(cbrt (* (+ (* x x) (* y y)) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))

simplify1.8s

Counts

152 → 152

Iterations

Iter	Nodes
done	5002
2	2276
1	566
0	191

prune418.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
1	6
0	5

end0.0ms

sample700.0ms

Algorithm

intervals

Results

494.0ms

14080×

body

valid