Details

sample35.0ms

Algorithm

intervals

Results

18.0ms

256×

body

valid

simplify233.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	202
7	202
6	198
5	169
4	116
3	67
2	35
1	17
0	9

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.6b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite45.0ms

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))
6.0ms	(- (* x x) (* (* y 4.0) y))
30.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (* x x) (* (* y 4.0) y))
50.0ms	(- (* x x) (* (* y 4.0) y))
75.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.2s

Counts

64 → 64

Iterations

Iter	Nodes
done	5000
2	1203
1	254
0	87

prune344.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

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

prune22.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.4b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* y 4.0) y) (* x x))
3.6b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x)))

rewrite73.0ms

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:

21.0ms	(+ (* (* y 4.0) y) (* x x))
12.0ms	(- (* x x) (* (* y 4.0) y))
37.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(+ (* (* y 4.0) y) (* x x))
72.0ms	(- (* x x) (* (* y 4.0) y))
95.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* (* y 4.0) y) (* x x)))

simplify1.1s

Counts

64 → 64

Iterations

Iter	Nodes
done	5002
2	1358
1	278
0	92

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.4b

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: 0.4b

regimes299.0ms

Accuracy

59.1% (13.0b remaining)

Error of 13.4b against oracle of 0.4b and baseline of 32.1b

bsearch208.0ms

Steps

Iters	Range		Point
11	1.4811311028475771e+262	7.570381961298086e+285	1.4962584659013787e+262
8	2.6202151264562232e+244	8.301180575196618e+248	8.170638210533042e+248
9	1.7653732899602565e+85	3.7806436988263344e+90	1.7922671628902882e+85
11	2.7912168670898916e-38	4.1094300843342833e-13	3.691663792214943e-13
10	4.603331812003636e-293	3.704681433897876e-282	7.027808530107358e-286

simplify8.0ms

Iterations

Iter	Nodes
done	31
1	31
0	26

end0.0ms

sample724.0ms

Algorithm

intervals

Results

514.0ms

8000×

body

valid