Details

sample65.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
14.0ms	256×	pre	80	true

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
8	2884
7	1046
6	573
5	339
4	177
3	95
2	46
1	22
0	9

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize27.0ms

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))))
12.3b	(/ (* x x) (+ (* x x) (* y y)))
22.3b	(/ (* y y) (+ (* x x) (* y y)))

rewrite142.0ms

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:

8.0ms	(+ (* x x) (* y y))
71.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
33.0ms	(/ (* x x) (+ (* x x) (* y y)))
29.0ms	(/ (* y y) (+ (* x x) (* y y)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x x) (* y y))
88.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
54.0ms	(/ (* x x) (+ (* x x) (* y y)))
53.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify1.3s

Counts

95 → 95

Iterations

Iter	Nodes
3	3588
2	1127
1	372
0	132

prune752.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune2.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes108.0ms

Accuracy

77.7% (4.3b remaining)

Error of 4.7b against oracle of 0.4b and baseline of 19.8b

bsearch203.0ms

Steps

Iters	Range	Point
9	8.135374741553072e-165	5.780775827594028e-159	1.6751856577453184e-162
9	-5.535892326507541e-162	-4.210756527538296e-170	-1.7038110794935968e-162
10	-1.5650088336792008e+167	-3.2440084153207262e+150	-1.3510823938312062e+154

Iters

Range

Point

8.135374741553072e-165

5.780775827594028e-159

1.6751856577453184e-162

-5.535892326507541e-162

-4.210756527538296e-170

-1.7038110794935968e-162

-1.5650088336792008e+167

-3.2440084153207262e+150

-1.3510823938312062e+154

simplify3.0ms

Iterations

Iter	Nodes
2	23
1	23
0	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
363.0ms	8000×	pre	80	true