Details

sample30.0ms

Algorithm

intervals

Results

20.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
1	7
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
30.1b	(sqrt (+ (* x x) (* y y)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+` `insert-posit16`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 28

Calls

2 calls:

14.0ms	(+ (* x x) (* y y))
12.0ms	(sqrt (+ (* x x) (* y y)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x x) (* y y))
63.0ms	(sqrt (+ (* x x) (* y y)))

simplify2.2s

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
3	1599
2	373
1	129
0	50

prune138.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.1b

localize41.0ms

Local error

Found 4 expressions with local error:

12.9b	(sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
31.0b	(cbrt (+ (* x x) (* y y)))
31.0b	(cbrt (+ (* x x) (* y y)))
31.0b	(cbrt (+ (* x x) (* y y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
12×	`pow1`
9×	`cbrt-prod` `sqrt-pow1` `flip3-+` `pow1/3` `flip-+`
8×	`sqrt-div`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`frac-times` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `rem-sqrt-square` `pow-plus` `pow1/2` `sqrt-prod`

Counts

4 → 70

Calls

4 calls:

30.0ms	(sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
8.0ms	(cbrt (+ (* x x) (* y y)))
8.0ms	(cbrt (+ (* x x) (* y y)))
8.0ms	(cbrt (+ (* x x) (* y y)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
138.0ms	(cbrt (+ (* x x) (* y y)))
137.0ms	(cbrt (+ (* x x) (* y y)))
131.0ms	(cbrt (+ (* x x) (* y y)))

simplify1.8s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
4	2428
3	846
2	363
1	184
0	98

prune418.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 7.1b

localize46.0ms

Local error

Found 4 expressions with local error:

31.0b	(cbrt (+ (* x x) (* y y)))
31.0b	(cbrt (+ (* x x) (* y y)))
31.0b	(cbrt (+ (* x x) (* y y)))
31.0b	(cbrt (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3-+` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip-+` `insert-posit16` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt (+ (* x x) (* y y)))
4.0ms	(cbrt (+ (* x x) (* y y)))
4.0ms	(cbrt (+ (* x x) (* y y)))
4.0ms	(cbrt (+ (* x x) (* y y)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(cbrt (+ (* x x) (* y y)))
130.0ms	(cbrt (+ (* x x) (* y y)))
118.0ms	(cbrt (+ (* x x) (* y y)))
111.0ms	(cbrt (+ (* x x) (* y y)))

simplify2.2s

Counts

68 → 68

Iterations

Iter	Nodes
done	5027
4	3720
3	1029
2	311
1	124
0	52

prune471.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 7.1b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 7.1b

regimes337.0ms

Accuracy

57.7% (9.1b remaining)

Error of 16.6b against oracle of 7.5b and baseline of 28.9b

bsearch86.0ms

Steps

Iters	Range		Point
9	1.4356436329954285e+137	2.3935951588787148e+142	5.887500437435469e+139
10	-3.706207899435069e+161	-2.779942061402865e+151	-1.2743190345131582e+154

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	13

end0.0ms

sample810.0ms

Algorithm

intervals

Results

616.0ms

8000×

body

valid