Details

sample55.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify5.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
7	1519
6	575
5	339
4	177
3	95
2	46
1	22
0	9

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.1b

localize53.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(- (* y y) (* x x))
18.6b	(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
4×	`associate-/l*`
3×	`pow1` `associate-/r*` `insert-posit16`
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 → 63

Calls

3 calls:

20.0ms	(+ (* x x) (* y y))
10.0ms	(- (* y y) (* x x))
34.0ms	(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* x x) (* y y))
69.0ms	(- (* y y) (* x x))
134.0ms	(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

simplify8.2s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
3	4474
2	954
1	288
0	101

prune711.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(/ 1 (/ (+ (* x x) (* y y)) (- (* y y) (* x x))))
0.0b	(- (* y y) (* x x))
18.6b	(/ (+ (* x x) (* y y)) (- (* y y) (* x x)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
64×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`associate-/r*`
17×	`add-exp-log` `difference-of-squares`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp` `add-log-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `insert-posit16`
2×	`rec-exp` `clear-num` `frac-2neg` `flip3-+` `1-exp` `flip-+` `associate-/l/`
1×	`+-commutative` `sum-log` `sub-neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 159

Calls

4 calls:

10.0ms	(+ (* x x) (* y y))
52.0ms	(/ 1 (/ (+ (* x x) (* y y)) (- (* y y) (* x x))))
10.0ms	(- (* y y) (* x x))
47.0ms	(/ (+ (* x x) (* y y)) (- (* y y) (* x x)))

series299.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* x x) (* y y))
96.0ms	(/ 1 (/ (+ (* x x) (* y y)) (- (* y y) (* x x))))
68.0ms	(- (* y y) (* x x))
88.0ms	(/ (+ (* x x) (* y y)) (- (* y y) (* x x)))

simplify3.4s

Counts

171 → 171

Iterations

Iter	Nodes
done	5001
2	1883
1	603
0	227

prune1.6s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.6b

localize3.0ms

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

prune14.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.6b

localize6.0ms

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

prune2.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.6b

regimes333.0ms

Accuracy

76.5% (4.7b remaining)

Error of 5.2b against oracle of 0.5b and baseline of 20.5b

bsearch184.0ms

Steps

Iters	Range		Point
8	3.0143294833594703e-165	2.8339302590141863e-162	2.447653697947499e-162
4	-8.314193817807672e-201	-4.4081946687079856e-201	-8.125759275196955e-201
7	-8.704466915022741e-181	-4.233430310095326e-183	-1.9802794932900194e-182
8	-1.3198903247987554e+155	-4.0079506149788206e+150	-8.334937415174088e+151

simplify10.0ms

Iterations

Iter	Nodes
done	29
1	29
0	25

end0.0ms

sample986.0ms

Algorithm

intervals

Results

489.0ms	8000×	body	80	valid
234.0ms	8000×	pre	80	true