Details

analyze12.0ms

Algorithm

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

sample21.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	4897	15
1	4897	15

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 23.2b

Counts

2 → 2

localize8.0ms

Local error

Found 1 expressions with local error:

23.3b

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

11.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify18.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	5037	530

prune47.0ms

Filtered

28 candidates to 34 candidates (-21.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	33	3	36

Merged error: 0.2b

Counts

36 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Merged error: 0.2b

Counts

3 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
0.0b	(/ (+ x y) (sqrt (+ (* x x) (* y y))))
22.7b	(sqrt (+ (* x x) (* y y)))
22.7b	(sqrt (+ (* x x) (* y y)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-sqr-sqrt`
93×	`*-un-lft-identity`
90×	`times-frac`
55×	`add-cube-cbrt`
54×	`sqrt-prod`
36×	`associate-l`
30×	`associate-r`
18×	`add-exp-log` `add-cbrt-cube`
13×	`distribute-lft-out`
10×	`sqrt-div`
9×	`unswap-sqr`
8×	`pow1`
6×	`flip3-+` `associate-/r*` `associate-/r/` `flip-+` `distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
3×	`div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 175

Calls

4 calls:

33.0ms	(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
9.0ms	(/ (+ x y) (sqrt (+ (* x x) (* y y))))
4.0ms	(sqrt (+ (* x x) (* y y)))
4.0ms	(sqrt (+ (* x x) (* y y)))

series37.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
12.0ms	(/ (+ x y) (sqrt (+ (* x x) (* y y))))
8.0ms	(sqrt (+ (* x x) (* y y)))
6.0ms	(sqrt (+ (* x x) (* y y)))

simplify38.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5365	3657

prune122.0ms

Filtered

119 candidates to 187 candidates (-57.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	187	0	187
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	187	3	190

Merged error: 0.2b

Counts

190 → 3

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Merged error: 0.2b

Counts

3 → 3

regimes89.0ms

Accuracy

74.6% (5.4b remaining)

Error of 5.8b against oracle of 0.5b and baseline of 21.6b

bsearch54.0ms

Steps

Iters	Range		Point
10	5.737708939291845e-189	3.552990696174665e-174	1.6793339788522405e-181
10	3.522642843396049e-225	9.777482596242526e-214	7.434273359978173e-214
4	-1.145952171215384e-159	-8.048435683362319e-160	-8.153797794968458e-160
10	-3.2537558029536605e+158	-1.16045527234766e+140	-1.3227300723852667e+154

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	69
1	37	69

end0.0ms

sample586.0ms

Algorithm

intervals

Results

301.0ms	8000×	body	80	valid
151.0ms	8000×	pre	80	true

Details

analyze12.0ms

sample21.0ms

simplify116.0ms

prune8.0ms

localize8.0ms

rewrite12.0ms

series10.0ms

simplify18.0ms

prune47.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune5.0ms

localize13.0ms

rewrite57.0ms

series37.0ms

simplify38.0ms

prune122.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes89.0ms

bsearch54.0ms

simplify1.0ms

end0.0ms

sample586.0ms

Profiling