Details

sample40.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
4.0ms	103×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) y)
20.5b	(sqrt (+ (* x x) y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
2×	`flip3-+` `add-cbrt-cube` `sqrt-div` `add-exp-log` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sqrt-pow1` `pow1/2`

Counts

2 → 26

Calls

2 calls:

11.0ms	(+ (* x x) y)
16.0ms	(sqrt (+ (* x x) y))

series100.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) y)
63.0ms	(sqrt (+ (* x x) y))

simplify471.0ms

Counts

32 → 32

Iterations

Iter	Nodes
done	5000
2	697
1	154
0	59

prune218.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 2) y)
6.3b	(- (pow x 4) (* y y))
20.5b	(sqrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y)))
34.3b	(/ (- (pow x 4) (* y y)) (- (pow x 2) y))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
110×	`difference-of-squares`
97×	`times-frac`
63×	`*-un-lft-identity`
54×	`sqrt-prod`
35×	`add-cube-cbrt`
32×	`unpow-prod-down` `sqr-pow`
14×	`distribute-lft-out--` `unpow2`
8×	`associate-/r*` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `flip3--` `flip--`
4×	`associate-/r/`
2×	`rem-sqrt-square` `sub-neg` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp`

Counts

4 → 177

Calls

4 calls:

22.0ms	(- (pow x 2) y)
16.0ms	(- (pow x 4) (* y y))
29.0ms	(sqrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y)))
50.0ms	(/ (- (pow x 4) (* y y)) (- (pow x 2) y))

series303.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (pow x 2) y)
64.0ms	(- (pow x 4) (* y y))
109.0ms	(sqrt (/ (- (pow x 4) (* y y)) (- (pow x 2) y)))
90.0ms	(/ (- (pow x 4) (* y y)) (- (pow x 2) y))

simplify1.2s

Counts

189 → 189

Iterations

Iter	Nodes
done	5001
2	2409
1	615
0	303

prune936.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.9b	(/ -1/2 (/ x y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`associate-/r*`
6×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
1×	`pow1` `clear-num` `frac-2neg` `associate-/r/` `add-log-exp`

Counts

1 → 70

Calls

1 calls:

14.0ms

(/ -1/2 (/ x y))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(/ -1/2 (/ x y))

simplify839.0ms

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1531
1	378
0	150

prune315.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize13.0ms

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 (0 fresh and 4 done)

Merged error: 0b

regimes278.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 20.7b

bsearch58.0ms

Steps

Iters	Range		Point
8	7.661693106350402e+148	2.655600798822068e+151	1.7854904614018066e+149
9	-4.4705439518245044e+156	-6.8324523784438e+150	-1.3211775299738663e+154

simplify2.0ms

Iterations

Iter	Nodes
done	22
1	22
0	19

end0.0ms

sample842.0ms

Algorithm

intervals

Results

314.0ms	8000×	body	80	valid
117.0ms	2655×	body	80	nan