Details

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify152.0ms

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: 31.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.4b	(- (* x x) (* (* y 4.0) y))
31.3b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite84.0ms

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:

17.0ms	(+ (* x x) (* (* y 4.0) y))
16.0ms	(- (* x x) (* (* y 4.0) y))
50.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (* x x) (* (* y 4.0) y))
52.0ms	(- (* 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

prune217.0ms

Pruning

3 alts after pruning (3 fresh and 0 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
done	0
0	0

prune4.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

3.4b	(- (* x x) (* (* y 4.0) y))
30.3b	(sqrt (+ (* x x) (* (* y 4.0) y)))
30.3b	(sqrt (+ (* x x) (* (* y 4.0) y)))
31.3b	(/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

12.0ms	(- (* x x) (* (* y 4.0) y))
13.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
12.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
63.0ms	(/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))

series275.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* x x) (* (* y 4.0) y))
75.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
71.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
67.0ms	(/ (- (* x x) (* (* y 4.0) y)) (* (sqrt (+ (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y)))))

simplify2.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5002
3	4113
2	984
1	298
0	111

prune353.0ms

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
done	0
0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.3b

regimes183.0ms

Accuracy

60.2% (12.6b remaining)

Error of 12.9b against oracle of 0.3b and baseline of 32.0b

bsearch117.0ms

Steps

Iters	Range		Point
7	1.2743593339469278e+187	1.0748013679631645e+189	9.482092415813315e+188
5	7.877132503858233e-78	2.847791559209538e-77	8.000234299940421e-78
9	5.71949254268512e-184	2.570149936166028e-178	1.859966789631152e-181
0	2.9643938750475e-323	5.0394695875807e-322	2.6679544875427e-322

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	25

end0.0ms

sample766.0ms

Algorithm

intervals

Results

604.0ms

8000×

body

valid