Details

analyze16.0ms

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

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

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: 20.5b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
20.6b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

6.0ms	(+ (* x x) (* y y))
13.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (* x x) (* y y))
18.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify31.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5103	655

prune100.0ms

Filtered

38 candidates to 48 candidates (-26.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.2b

Counts

50 → 4

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Merged error: 0.2b

Counts

4 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3))
0.0b	(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
0.2b	(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
20.1b	(/ (+ x y) (+ (* x x) (* y y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
25×	`times-frac`
24×	`add-cube-cbrt`
18×	`associate-l`
17×	`add-exp-log` `add-cbrt-cube`
10×	`cube-div`
9×	`pow1`
8×	`cbrt-prod`
7×	`distribute-lft-out`
6×	`frac-times` `flip3--` `associate-*r/` `flip--`
5×	`cbrt-div` `associate-r`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l*` `add-log-exp`
3×	`cbrt-undiv` `pow-unpow` `flip3-+` `div-exp` `associate-l/` `pow-exp` `associate-/r` `flip-+` `rem-cube-cbrt`
2×	`cube-mult` `sub-neg` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `div-inv` `associate-/l/` `unswap-sqr` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `pow1/3` `clear-num` `*-commutative` `rem-cbrt-cube` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

3.0ms	(cbrt (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3))
12.0ms	(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
14.0ms	(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
7.0ms	(/ (+ x y) (+ (* x x) (* y y)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(cbrt (pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3))
15.0ms	(pow (* (/ (+ x y) (+ (* x x) (* y y))) (- x y)) 3)
10.0ms	(* (/ (+ x y) (+ (* x x) (* y y))) (- x y))
7.0ms	(/ (+ x y) (+ (* x x) (* y y)))

simplify33.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5092	2340

prune158.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Merged error: 0.2b

Counts

147 → 4

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

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.2b

Counts

4 → 4

regimes136.0ms

Accuracy

78.2% (4.5b remaining)

Error of 5.0b against oracle of 0.4b and baseline of 21.2b

bsearch39.0ms

Steps

Iters	Range	Point
10	6.695725171130834e-182	5.740022286511929e-166	5.599728401902147e-166
8	-7.94937196486062e-156	-8.912307856890295e-159	-8.998973579335604e-159
8	-5.2952285157137506e+157	-1.4429542392734844e+153	-1.3657766501083473e+154

Iters

Range

Point

6.695725171130834e-182

5.740022286511929e-166

5.599728401902147e-166

-7.94937196486062e-156

-8.912307856890295e-159

-8.998973579335604e-159

-5.2952285157137506e+157

-1.4429542392734844e+153

-1.3657766501083473e+154

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	30
1	35	30

end0.0ms

sample589.0ms

Algorithm

intervals

Results

294.0ms	8000×	body	80	valid
151.0ms	8000×	pre	80	true

Details

analyze16.0ms

sample21.0ms

simplify113.0ms

prune8.0ms

localize8.0ms

rewrite22.0ms

series27.0ms

simplify31.0ms

prune100.0ms

localize1.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune6.0ms

localize11.0ms

rewrite40.0ms

series47.0ms

simplify33.0ms

prune158.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes136.0ms

bsearch39.0ms

simplify1.0ms

end0.0ms

sample589.0ms

Profiling