Details

sample45.0ms

Algorithm

intervals

Results

30.0ms

256×

body

valid

simplify202.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	186
7	186
6	177
5	152
4	109
3	67
2	38
1	19
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.1b

localize31.0ms

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)))

rewrite55.0ms

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×	`expm1-log1p-u` `pow1` `associate-/r` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

3 → 67

Calls

3 calls:

16.0ms	(+ (* x x) (* (* y 4.0) y))
12.0ms	(- (* x x) (* (* y 4.0) y))
26.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (* x x) (* (* y 4.0) y))
70.0ms	(- (* x x) (* (* y 4.0) y))
90.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify3.5s

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
3	4814
2	1023
1	272
0	101

prune411.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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)))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

81×	`prod-diff`
64×	`times-frac`
50×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`associate-/r/` `add-cube-cbrt`
24×	`flip3-+` `flip-+`
23×	`div-inv`
18×	`add-cbrt-cube` `add-exp-log`
9×	`fma-neg`
8×	`add-log-exp`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `pow1` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`clear-num` `frac-2neg` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `sum-log` `sub-neg` `fma-def` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 182

Calls

4 calls:

16.0ms	(+ (* x x) (* (* y 4.0) y))
99.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
15.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
42.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(+ (* x x) (* (* y 4.0) y))
130.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
79.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
75.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify2.6s

Counts

194 → 194

Iterations

Iter	Nodes
done	5000
2	2625
1	758
0	270

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize66.0ms

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)))

rewrite128.0ms

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×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 110

Calls

4 calls:

29.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
26.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
37.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
34.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
67.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
74.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
102.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify1.6s

Counts

122 → 122

Iterations

Iter	Nodes
done	5002
2	1376
1	330
0	106

prune767.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

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
done	0
0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.1b

regimes278.0ms

Accuracy

58.2% (12.8b remaining)

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

bsearch258.0ms

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

simplify9.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.4s

8000×

body

valid