Details

sample49.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify477.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize40.0ms

Local error

Found 2 expressions with local error:

3.5b	(- (* x x) (* (* y 4.0) y))
30.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `flip3--` `associate-/r/` `insert-posit16` `log1p-expm1-u` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `flip-+` `div-inv`

Counts

2 → 52

Calls

2 calls:

11.0ms	(- (* x x) (* (* y 4.0) y))
55.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series239.0ms

Counts

2 → 6

Calls

2 calls:

106.0ms	(- (* x x) (* (* y 4.0) y))
133.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify9.2s

Counts

58 → 58

Iterations

Iter	Nodes
done	5000
3	4717
2	960
1	249
0	93

prune678.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
22.9b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
23.2b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite287.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 167

Calls

3 calls:

189.0ms	(- (/ (* 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)))
40.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series475.0ms

Counts

3 → 9

Calls

3 calls:

231.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
121.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
122.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify5.2s

Counts

176 → 176

Iterations

Iter	Nodes
done	5116
2	2538
1	725
0	258

prune2.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

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

prune9.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

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

prune1.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.2b

regimes719.0ms

Accuracy

60.4% (12.4b remaining)

Error of 12.8b against oracle of 0.4b and baseline of 31.7b

bsearch253.0ms

Steps

Iters	Range		Point
9	2.5972158962864377e+188	1.0485759154854105e+195	1.4214205983410313e+194
9	7.632759958211149e+132	4.357751886569533e+140	7.775826278762702e+132
4	4.2476602461467456e+96	6.9198585545493e+96	6.835592550358748e+96
9	7.533741061833186e-296	3.5491196226519514e-287	3.222607567780329e-289

simplify20.0ms

Iterations

Iter	Nodes
done	31
1	31
0	26

end0.0ms

sample1.3s

Algorithm

intervals

Results

991.0ms

8000×

body

valid