Details

sample47.0ms

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

simplify24.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

prune2.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 10

Calls

3 calls:

4.0ms	(- (+ x (cos y)) (* z (sin y)))
2.0ms	(+ x (cos y))
3.0ms	(* z (sin y))

series109.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(- (+ x (cos y)) (* z (sin y)))
24.0ms	(+ x (cos y))
42.0ms	(* z (sin y))

simplify105.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 4 (99.0ms)

Iter	Nodes	Cost
0	128	94
1	362	90
2	1288	89
3	4541	89
4	5001	87

prune38.0ms

Filtered

19 candidates to 12 candidates (63.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0.0b

Counts

20 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (cos y) (- (cos y) x) (* x x))
0.1b	(* z (sin y))
0.4b	(pow (cos y) 3)
20.2b	(/ (+ (pow x 3) (pow (cos y) 3)) (fma (cos y) (- (cos y) x) (* x x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/l/`
1×	`pow-to-exp` `frac-2neg` `flip3-+` `unpow3` `clear-num` `sum-cubes` `-commutative` `flip-+` `fma-udef` `div-inv` `associate-/l` `sqr-pow`

Counts

4 → 11

Calls

4 calls:

1.0ms	(fma (cos y) (- (cos y) x) (* x x))
2.0ms	(* z (sin y))
2.0ms	(pow (cos y) 3)
5.0ms	(/ (+ (pow x 3) (pow (cos y) 3)) (fma (cos y) (- (cos y) x) (* x x)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma (cos y) (- (cos y) x) (* x x))
35.0ms	(* z (sin y))
27.0ms	(pow (cos y) 3)
82.0ms	(/ (+ (pow x 3) (pow (cos y) 3)) (fma (cos y) (- (cos y) x) (* x x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	136	113
1	450	108
2	2303	107
3	5001	106

prune70.0ms

Filtered

23 candidates to 15 candidates (65.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cos y) 3)
0.4b	(pow (cos y) 3)
7.8b	(fma (pow (cos y) 3) (- (pow (cos y) 3) (pow x 3)) (pow x 6))
26.2b	(/ (+ (pow (pow x 3) 3) (pow (pow (cos y) 3) 3)) (* (fma (cos y) (- (cos y) x) (* x x)) (fma (pow (cos y) 3) (- (pow (cos y) 3) (pow x 3)) (pow x 6))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sum-cubes`
2×	`pow-to-exp` `times-frac` `unpow3` `associate-/r` `-commutative` `associate-/l/` `sqr-pow`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef` `div-inv` `associate-/l*`

Counts

4 → 17

Calls

4 calls:

1.0ms	(pow (cos y) 3)
2.0ms	(pow (cos y) 3)
1.0ms	(fma (pow (cos y) 3) (- (pow (cos y) 3) (pow x 3)) (pow x 6))
9.0ms	(/ (+ (pow (pow x 3) 3) (pow (pow (cos y) 3) 3)) (* (fma (cos y) (- (cos y) x) (* x x)) (fma (pow (cos y) 3) (- (pow (cos y) 3) (pow x 3)) (pow x 6))))

series431.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(pow (cos y) 3)
35.0ms	(pow (cos y) 3)
216.0ms	(fma (pow (cos y) 3) (- (pow (cos y) 3) (pow x 3)) (pow x 6))
152.0ms	(/ (+ (pow (pow x 3) 3) (pow (pow (cos y) 3) 3)) (* (fma (cos y) (- (cos y) x) (* x x)) (fma (pow (cos y) 3) (- (pow (cos y) 3) (pow x 3)) (pow x 6))))

simplify189.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	182	295
1	721	269
2	4816	269
3	5001	269

prune131.0ms

Filtered

29 candidates to 21 candidates (72.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	29	3	32

Merged error: 0.0b

Counts

32 → 3

regimes94.0ms

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	10	5
1	10	5

end0.0ms

sample1.2s

Algorithm

intervals

Results

412.0ms	979×	body	1280	valid
306.0ms	5570×	body	80	valid
216.0ms	843×	body	640	valid
72.0ms	418×	body	320	valid
23.0ms	190×	body	160	valid

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5

Iter	Nodes	Cost
0	14	5
1	28	5
2	41	5
3	57	5
4	68	5
5	86	5
6	131	5
7	214	5
8	272	5
9	296	5
10	328	5
11	396	5
12	396	5