Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
done	7	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
27.3b	(sqrt (+ (* x x) (* y y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 26

Calls

2 calls:

25.0ms	(+ (* x x) (* y y))
8.0ms	(sqrt (+ (* x x) (* y y)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* x x) (* y y))
43.0ms	(sqrt (+ (* x x) (* y y)))

simplify513.0ms

Counts

32 → 32

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	48	379
1	143	347
2	758	295
done	5000	295

prune100.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 5.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.5b	(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
27.3b	(sqrt (+ (* x x) (* y y)))
27.3b	(sqrt (+ (* x x) (* y y)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

72×	`sqrt-prod`
50×	`add-sqr-sqrt`
34×	`sqrt-pow1`
29×	`pow1`
28×	`sqrt-div`
18×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`flip3-+` `associate-r` `associate-l` `pow-prod-up` `flip-+` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-down` `pow-sqr`
4×	`frac-times`
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 → 124

Calls

4 calls:

14.0ms	(+ (* x x) (* y y))
93.0ms	(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
14.0ms	(sqrt (+ (* x x) (* y y)))
15.0ms	(sqrt (+ (* x x) (* y y)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* x x) (* y y))
47.0ms	(* (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))))
60.0ms	(sqrt (+ (* x x) (* y y)))
53.0ms	(sqrt (+ (* x x) (* y y)))

simplify1.1s

Counts

136 → 136

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	121	2803
1	293	1770
2	1403	1533
done	5001	1506

prune287.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 5.5b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune4.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 5.5b

localize3.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune1.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 5.5b

regimes236.0ms

Accuracy

58.9% (9.7b remaining)

Error of 17.8b against oracle of 8.1b and baseline of 31.7b

bsearch65.0ms

Steps

Iters	Range		Point
10	1.051086597250448e+104	4.536853709009945e+119	1.8767613226768584e+119
6	-1.2367004894298031e+109	-1.969700704475786e+108	-1.1785944497771992e+109

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	14	19
done	14	19

end0.0ms

sample617.0ms

Algorithm

intervals

Results

369.0ms

8000×

body

valid