Details

sample53.0ms

Algorithm

intervals

Results

28.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
8	2001
7	1519
6	575
5	339
4	177
3	95
2	46
1	22
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
15.4b	(/ (* x x) (+ (* x x) (* y y)))
27.1b	(/ (* y y) (+ (* x x) (* y y)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `times-frac`
8×	`associate-/r/` `add-cube-cbrt` `add-log-exp`
6×	`associate-/r*`
5×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `div-inv` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 83

Calls

4 calls:

15.0ms	(+ (* x x) (* y y))
80.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
28.0ms	(/ (* x x) (+ (* x x) (* y y)))
24.0ms	(/ (* y y) (+ (* x x) (* y y)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* x x) (* y y))
105.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
85.0ms	(/ (* x x) (+ (* x x) (* y y)))
62.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
done	2002
3	2002
2	1811
1	429
0	132

prune367.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.7b

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

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.7b

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

prune1.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.7b

regimes109.0ms

Accuracy

75.9% (4.8b remaining)

Error of 5.2b against oracle of 0.4b and baseline of 20.2b

bsearch123.0ms

Steps

Iters	Range	Point
5	9.119547515606136e-169	3.1589337783356784e-168	3.1003292371794966e-168
9	-1.2588029326216475e-153	-1.0867132507229917e-159	-6.3662280950353905e-155
8	-4.0930131698962745e+155	-4.782944500713902e+152	-1.3483719131786158e+154

Iters

Range

Point

9.119547515606136e-169

3.1589337783356784e-168

3.1003292371794966e-168

-1.2588029326216475e-153

-1.0867132507229917e-159

-6.3662280950353905e-155

-4.0930131698962745e+155

-4.782944500713902e+152

-1.3483719131786158e+154

simplify4.0ms

Iterations

Iter	Nodes
done	25
1	25
0	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

764.0ms	8000×	body	80	valid
305.0ms	8000×	pre	80	true