Details

sample32.0ms

Algorithm

intervals

Results

15.0ms

256×

body

valid

simplify149.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	177
7	177
6	168
5	143
4	100
3	59
2	34
1	17
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.9b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.5b	(- (* x x) (* (* y 4.0) y))
30.3b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 55

Calls

3 calls:

7.0ms	(+ (* x x) (* (* y 4.0) y))
7.0ms	(- (* x x) (* (* y 4.0) y))
25.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* x x) (* (* y 4.0) y))
63.0ms	(- (* x x) (* (* y 4.0) y))
76.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.7s

Counts

64 → 64

Iterations

Iter	Nodes
done	5030
3	3828
2	863
1	246
0	87

prune338.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

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

prune10.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
23.0b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
24.2b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

10.0ms	(+ (* x x) (* (* y 4.0) y))
92.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
38.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
21.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* x x) (* (* y 4.0) y))
79.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
76.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
73.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify1.4s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
2	1822
1	453
0	142

prune379.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

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: 0.3b

regimes230.0ms

Accuracy

58.4% (12.9b remaining)

Error of 13.3b against oracle of 0.4b and baseline of 31.4b

bsearch202.0ms

Steps

Iters	Range		Point
8	4.0851340448526894e+278	4.032799637274857e+282	5.6317960521962586e+278
9	3.5566022728585293e-12	0.0011823009177766679	5.880877246270695e-09
11	2.141142444373286e-117	1.583440219444916e-95	2.3542361087629974e-102
9	5.21658433001167e-205	2.525509707705057e-198	2.4742170052004425e-201

simplify7.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample1.0s

Algorithm

intervals

Results

764.0ms

8000×

body

valid