Details

sample35.0ms

Algorithm

intervals

Results

23.0ms

256×

body

valid

simplify209.0ms

Counts

1 → 1

Iterations

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
1.4b	(- (* x x) (* (* y 4.0) y))
29.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite71.0ms

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` `insert-posit16` `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 → 58

Calls

3 calls:

15.0ms	(+ (* x x) (* (* y 4.0) y))
14.0ms	(- (* x x) (* (* y 4.0) y))
41.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ (* x x) (* (* y 4.0) y))
54.0ms	(- (* x x) (* (* y 4.0) y))
91.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5059
3	3850
2	861
1	249
0	90

prune232.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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))))
19.1b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
22.5b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite116.0ms

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` `insert-posit16` `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 → 83

Calls

4 calls:

13.0ms	(+ (* x x) (* (* y 4.0) y))
58.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
22.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
22.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x x) (* (* y 4.0) y))
88.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
65.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
77.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	1839
1	455
0	146

prune361.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

19.1b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
22.5b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
22.5b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
22.5b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
11×	`cbrt-undiv` `div-exp`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-/r/`
4×	`pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 102

Calls

4 calls:

16.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
30.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
25.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
22.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
84.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
70.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
69.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5001
2	1360
1	325
0	102

prune662.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

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

prune1.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes280.0ms

Accuracy

58.2% (12.8b remaining)

Error of 13.2b against oracle of 0.4b and baseline of 31.0b

bsearch255.0ms

Steps

Iters	Range		Point
10	7.44339646875302e+141	1.147783056670062e+159	6.692635626773783e+153
7	4.464462769470413e-56	6.608106750126326e-54	1.047103978369638e-54
8	-4.55827149267098e-133	-1.510830648761834e-137	-2.145414165595919e-133
10	-1.1485829356315806e+184	-1.73245421496982e+165	-1.7605595017089978e+165

simplify8.0ms

Iterations

Iter	Nodes
done	33
1	33
0	27

end0.0ms

sample943.0ms

Algorithm

intervals

Results

799.0ms

8000×

body

valid