Details

sample68.0ms

Algorithm

intervals

Results

20.0ms	49×	body	1280	valid
16.0ms	18×	body	2560	valid
10.0ms	27×	body	640	valid
7.0ms	136×	body	80	valid
3.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	7
1	13	7
2	13	7

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: 35.9b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ x (* y 2.0))
8.4b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.4b	(tan (/ x (* y 2.0)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

2×	`tan-quot` `frac-2neg` `clear-num` `associate-/r*` `div-inv`
1×	`*-commutative` `associate-/l/`

Counts

4 → 10

Calls

4 calls:

3.0ms	(/ x (* y 2.0))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(tan (/ x (* y 2.0)))

series111.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ x (* y 2.0))
43.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms	(sin (/ x (* y 2.0)))
40.0ms	(tan (/ x (* y 2.0)))

simplify124.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	76	71
1	191	71
2	740	71
3	4749	71
4	5001	71

prune74.0ms

Filtered

22 candidates to 17 candidates (77.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	13	9	22
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	9	23

Merged error: 24.6b

Counts

23 → 9

localize0.0ms

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

prune21.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	0	0
Total	9	9

Merged error: 24.6b

Counts

9 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
27.0b	(sin (/ x (* y 2.0)))
27.0b	(sin (/ x (* y 2.0)))
27.1b	(cos (/ x (* y 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r*`
1×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative` `sin-cos-mult` `div-inv`

Counts

4 → 6

Calls

4 calls:

9.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(sin (/ x (* y 2.0)))
3.0ms	(cos (/ x (* y 2.0)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
9.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
12.0ms	(cos (/ x (* y 2.0)))

simplify152.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	64	81
1	152	74
2	492	73
3	3219	73
4	5001	73

prune57.0ms

Filtered

18 candidates to 12 candidates (66.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	17	10	27

Merged error: 24.6b

Counts

27 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

8.4b	(- (/ x (* y 2.0)) (/ x (* y 2.0)))
8.8b	(/ (sin (/ x (* y 2.0))) (+ (sin (- (/ x (* y 2.0)) (/ x (* y 2.0)))) (sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))))
27.0b	(sin (/ x (* y 2.0)))
27.2b	(sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`associate-/r*` `frac-sub`
13×	`frac-2neg` `clear-num`
12×	`*-commutative`
8×	`div-inv`
5×	`sub-div`
2×	`sin-sum` `associate-/r/`
1×	`+-commutative` `sub-neg` `flip3--` `distribute-rgt-out--` `flip3-+` `+-inverses` `count-2` `fma-neg` `prod-diff` `sin-2` `flip--` `flip-+` `distribute-lft-out--` `sum-sin`

Counts

4 → 48

Calls

4 calls:

8.0ms	(- (/ x (* y 2.0)) (/ x (* y 2.0)))
21.0ms	(/ (sin (/ x (* y 2.0))) (+ (sin (- (/ x (* y 2.0)) (/ x (* y 2.0)))) (sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))))
3.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))

series78.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(- (/ x (* y 2.0)) (/ x (* y 2.0)))
59.0ms	(/ (sin (/ x (* y 2.0))) (+ (sin (- (/ x (* y 2.0)) (/ x (* y 2.0)))) (sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))))
9.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))

simplify76.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	398	420
1	2006	323
2	5002	316

prune192.0ms

Filtered

60 candidates to 50 candidates (83.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	50	10	60
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	56	14	70

Merged error: 23.9b

Counts

70 → 14

regimes237.0ms

Accuracy

0% (3.3b remaining)

Error of 28.3b against oracle of 25.0b and baseline of 28.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	0

end0.0ms

sample2.0s

Algorithm

intervals

Results

600.0ms	1398×	body	1280	valid
579.0ms	645×	body	2560	valid
255.0ms	970×	body	640	valid
230.0ms	4145×	body	80	valid
105.0ms	575×	body	320	valid
37.0ms	267×	body	160	valid