Details

sample64.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
13.0ms	256×	pre	80	true

simplify2.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	3699
6	840
5	403
4	208
3	103
2	48
1	22
0	9

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.6b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
16.6b	(/ (* x x) (+ (* x x) (* y y)))
23.5b	(/ (* y y) (+ (* x x) (* y y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `times-frac`
8×	`associate-/r/` `add-cube-cbrt` `add-log-exp`
6×	`associate-/r*`
5×	`flip3-+` `flip-+`
4×	`pow1` `cbrt-undiv` `div-exp` `insert-posit16` `div-inv` `difference-of-squares`
3×	`distribute-rgt-out--`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `associate-/l*`
1×	`+-commutative` `sum-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 83

Calls

4 calls:

13.0ms	(+ (* x x) (* y y))
59.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
15.0ms	(/ (* x x) (+ (* x x) (* y y)))
15.0ms	(/ (* y y) (+ (* x x) (* y y)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* x x) (* y y))
66.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
57.0ms	(/ (* x x) (+ (* x x) (* y y)))
55.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify2.1s

Counts

95 → 95

Iterations

Iter	Nodes
done	5002
2	3542
1	429
0	132

prune406.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* y y))) (/ y (/ (+ (* x x) (* y y)) y)))
0.1b	(/ y (/ (+ (* x x) (* y y)) y))
16.6b	(/ (* x x) (+ (* x x) (* y y)))
18.0b	(/ (+ (* x x) (* y y)) y)

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
74×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
19×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv` `div-exp` `add-log-exp` `difference-of-squares`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `associate-/r/`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

4 → 146

Calls

4 calls:

64.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ y (/ (+ (* x x) (* y y)) y)))
15.0ms	(/ y (/ (+ (* x x) (* y y)) y))
15.0ms	(/ (* x x) (+ (* x x) (* y y)))
37.0ms	(/ (+ (* x x) (* y y)) y)

series295.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ y (/ (+ (* x x) (* y y)) y)))
77.0ms	(/ y (/ (+ (* x x) (* y y)) y))
54.0ms	(/ (* x x) (+ (* x x) (* y y)))
67.0ms	(/ (+ (* x x) (* y y)) y)

simplify2.5s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	4722
1	676
0	237

prune628.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y))))
0.5b	(/ 1 (/ (+ (* x x) (* y y)) (* x x)))
16.5b	(/ (+ (* x x) (* y y)) (* x x))
23.5b	(/ (* y y) (+ (* x x) (* y y)))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

56×	`times-frac`
48×	`add-sqr-sqrt`
35×	`add-exp-log`
31×	`*-un-lft-identity`
24×	`add-cube-cbrt`
23×	`add-cbrt-cube`
16×	`div-exp`
11×	`associate-/r*`
10×	`difference-of-squares`
9×	`cbrt-undiv`
8×	`div-inv`
7×	`associate-/l*`
6×	`add-log-exp`
5×	`pow1` `prod-exp`
4×	`insert-posit16`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/r/` `cbrt-unprod`
2×	`flip3-+` `flip-+` `distribute-lft-out--` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

4 → 131

Calls

4 calls:

79.0ms	(- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y))))
20.0ms	(/ 1 (/ (+ (* x x) (* y y)) (* x x)))
38.0ms	(/ (+ (* x x) (* y y)) (* x x))
28.0ms	(/ (* y y) (+ (* x x) (* y y)))

series277.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (/ 1 (/ (+ (* x x) (* y y)) (* x x))) (/ (* y y) (+ (* x x) (* y y))))
59.0ms	(/ 1 (/ (+ (* x x) (* y y)) (* x x)))
62.0ms	(/ (+ (* x x) (* y y)) (* x x))
70.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify2.4s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	4709
1	633
0	206

prune398.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

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

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes69.0ms

Accuracy

77.2% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 20.2b

bsearch119.0ms

Steps

Iters	Range	Point
9	9.766152350749752e-183	1.7488987074787938e-177	1.7320534110029677e-177
8	-5.966691903875477e-154	-1.1475373314236562e-156	-3.6696225172636794e-156
8	-1.6585161668290167e+155	-1.6730117821319332e+152	-1.334219986648209e+154

Iters

Range

Point

9.766152350749752e-183

1.7488987074787938e-177

1.7320534110029677e-177

-5.966691903875477e-154

-1.1475373314236562e-156

-3.6696225172636794e-156

-1.6585161668290167e+155

-1.6730117821319332e+152

-1.334219986648209e+154

simplify6.0ms

Iterations

Iter	Nodes
done	26
1	26
0	20

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
318.0ms	8000×	pre	80	true