Details

sample46.0ms

Algorithm

intervals

Results

18.0ms	45×	body	1280	valid
8.0ms	162×	body	80	valid
6.0ms	26×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	10×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	5
1	20	5
2	22	5
3	22	5

prune3.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (sin y))
0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`+-commutative`
2×	`associate-+l+` `flip3-+` `flip-+`
1×	`*-commutative`

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ x (sin y))
5.0ms	(+ (+ x (sin y)) (* z (cos y)))
3.0ms	(* z (cos y))

series105.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ x (sin y))
38.0ms	(+ (+ x (sin y)) (* z (cos y)))
41.0ms	(* z (cos y))

simplify92.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	104	82
1	292	82
2	867	82
3	2948	82
4	5002	82

prune41.0ms

Filtered

18 candidates to 12 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (+ x (sin y)) 3)
1.6b	(+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y))))
4.0b	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
34.0b	(/ (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-*r/`
32×	`frac-add`
28×	`flip3-+` `flip-+`
18×	`associate-/r/`
16×	`frac-times` `flip3--` `flip--`
8×	`associate-*l/`
4×	`+-commutative` `distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in`
2×	`sub-neg` `sum-cubes` `associate-/l/`
1×	`pow-to-exp` `frac-2neg` `unpow3` `clear-num` `div-inv` `associate-/l*` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

2.0ms	(pow (+ x (sin y)) 3)
15.0ms	(+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y))))
5.0ms	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
23.0ms	(/ (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(pow (+ x (sin y)) 3)
124.0ms	(+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y))))
176.0ms	(+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
211.0ms	(/ (+ (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	621	2307
1	3235	2281
2	5002	2281

prune315.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	70	2	72

Merged error: 0.0b

Counts

72 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

4.5b	(- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
11.3b	(+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6)))
34.0b	(/ (/ (+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6))) (- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))))
39.4b	(/ (+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6))) (- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-/r/`
20×	`associate-*r/`
16×	`flip3-+` `frac-add` `flip-+`
11×	`flip3--` `flip--` `associate-/l/`
9×	`div-sub`
8×	`frac-times`
6×	`sqr-pow`
4×	`associate-l/` `associate-/r`
3×	`difference-cubes` `neg-sub0` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `div-inv` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `sub-neg`

Counts

4 → 58

Calls

4 calls:

5.0ms	(- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
5.0ms	(+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6)))
25.0ms	(/ (/ (+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6))) (- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))))
12.0ms	(/ (+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6))) (- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)))

series1.8s

Counts

4 → 12

Calls

4 calls:

184.0ms	(- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))
596.0ms	(+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6)))
455.0ms	(/ (/ (+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6))) (- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3))) (+ (* (* z (cos y)) (- (* z (cos y)) (+ x (sin y)))) (* (+ x (sin y)) (+ x (sin y)))))
516.0ms	(/ (+ (pow (+ x (sin y)) 6) (- (pow (* z (cos y)) 6))) (- (pow (+ x (sin y)) 3) (pow (* z (cos y)) 3)))

simplify102.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	672	1998
1	3384	1939
2	5002	1938

prune330.0ms

Filtered

70 candidates to 53 candidates (75.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Merged error: 0.0b

Counts

72 → 2

regimes80.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

398.0ms	978×	body	1280	valid
286.0ms	5571×	body	80	valid
212.0ms	843×	body	640	valid
75.0ms	418×	body	320	valid
27.0ms	189×	body	160	valid
1.0ms	1×	body	2560	valid