Details

sample50.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify2.4s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.8b

localize34.0ms

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:

11.0ms	(+ (* x x) (* y y))
8.0ms	(- (* y y) (* x x))
50.0ms	(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (* x x) (* y y))
43.0ms	(- (* y y) (* x x))
83.0ms	(/ (- (* y y) (* x x)) (+ (* x x) (* y y)))

simplify2.8s

Counts

72 → 72

Iterations

Iter	Nodes
done	5002
3	4824
2	951
1	288
0	101

prune315.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.6b

localize42.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `times-frac` `flip3--` `flip--`
2×	`pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/r/` `insert-posit16`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 44

Calls

2 calls:

12.0ms	(+ (* x x) (* y y))
44.0ms	(/ (* (- y x) (+ y x)) (+ (* x x) (* y y)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x x) (* y y))
106.0ms	(/ (* (- y x) (+ y x)) (+ (* x x) (* y y)))

simplify1.5s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1471
1	324
0	93

prune240.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.6b

localize2.0ms

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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.6b

localize2.0ms

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 (0 fresh and 4 done)

Merged error: 0.6b

regimes104.0ms

Accuracy

76.2% (4.7b remaining)

Error of 5.2b against oracle of 0.4b and baseline of 20.2b

bsearch120.0ms

Steps

Iters	Range		Point
8	3.0143294833594703e-165	2.8339302590141863e-162	1.6484923373755113e-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	-1.3255253403345302e+154

simplify11.0ms

Iterations

Iter	Nodes
done	29
1	29
0	24

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
326.0ms	8000×	pre	80	true