Details

sample48.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify2.8s

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize31.0ms

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))))
12.3b	(/ (* x x) (+ (* x x) (* y y)))
24.0b	(/ (* y y) (+ (* x x) (* y y)))

rewrite167.0ms

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` `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 → 79

Calls

4 calls:

7.0ms	(+ (* x x) (* y y))
96.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
33.0ms	(/ (* x x) (+ (* x x) (* y y)))
27.0ms	(/ (* y y) (+ (* x x) (* y y)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x x) (* y y))
108.0ms	(- (/ (* x x) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))))
67.0ms	(/ (* x x) (+ (* x x) (* y y)))
83.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify2.7s

Counts

91 → 91

Iterations

Iter	Nodes
done	5002
2	3546
1	425
0	128

prune461.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

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

prune24.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.7b

localize160.0ms

Local error

Found 4 expressions with local error:

24.0b	(/ (* y y) (+ (* x x) (* y y)))
24.0b	(/ (* y y) (+ (* x x) (* y y)))
24.0b	(/ (* y y) (+ (* x x) (* y y)))
24.0b	(/ (* y y) (+ (* x x) (* y y)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
8×	`cbrt-undiv` `div-exp` `associate-/r/`
4×	`pow1` `clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

26.0ms	(/ (* y y) (+ (* x x) (* y y)))
22.0ms	(/ (* y y) (+ (* x x) (* y y)))
14.0ms	(/ (* y y) (+ (* x x) (* y y)))
17.0ms	(/ (* y y) (+ (* x x) (* y y)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* y y) (+ (* x x) (* y y)))
62.0ms	(/ (* y y) (+ (* x x) (* y y)))
64.0ms	(/ (* y y) (+ (* x x) (* y y)))
53.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1247
1	175
0	53

prune706.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.7b

localize198.0ms

Local error

Found 4 expressions with local error:

24.0b	(/ (* y y) (+ (* x x) (* y y)))
24.0b	(/ (* y y) (+ (* x x) (* y y)))
24.0b	(/ (* y y) (+ (* x x) (* y y)))
24.0b	(/ (* y y) (+ (* x x) (* y y)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-cbrt-cube` `add-exp-log`
12×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
8×	`cbrt-undiv` `div-exp` `associate-/r/`
4×	`pow1` `clear-num` `frac-2neg` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

26.0ms	(/ (* y y) (+ (* x x) (* y y)))
26.0ms	(/ (* y y) (+ (* x x) (* y y)))
26.0ms	(/ (* y y) (+ (* x x) (* y y)))
21.0ms	(/ (* y y) (+ (* x x) (* y y)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* y y) (+ (* x x) (* y y)))
51.0ms	(/ (* y y) (+ (* x x) (* y y)))
63.0ms	(/ (* y y) (+ (* x x) (* y y)))
61.0ms	(/ (* y y) (+ (* x x) (* y y)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1247
1	175
0	53

prune776.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.7b

regimes161.0ms

Accuracy

78.5% (4.5b remaining)

Error of 5.0b against oracle of 0.5b and baseline of 21.5b

bsearch183.0ms

Steps

Iters	Range		Point
9	8.307811047865195e-178	6.407984111669537e-169	6.255179780863847e-169
8	-9.89376127309662e-187	-2.6494694123937767e-189	-9.739334495050349e-187
8	-9.53817991064458e-160	-5.549334443309092e-163	-7.512106064144896e-163
7	-9.685109581380507e+154	-1.5171851739610474e+153	-1.57606065644376e+153

simplify12.0ms

Iterations

Iter	Nodes
done	46
1	46
0	36

end0.0ms

sample1.5s

Algorithm

intervals

Results

874.0ms	8000×	body	80	valid
266.0ms	8000×	pre	80	true