Details

sample63.0ms

Algorithm

intervals

Results

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

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

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: 35.9b

Counts

2 → 1

localize13.0ms

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)))

rewrite15.0ms

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)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ x (* y 2.0))
39.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms	(sin (/ x (* y 2.0)))
35.0ms	(tan (/ x (* y 2.0)))

simplify127.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	74	75
1	185	75
2	726	75
3	4701	75
4	5002	75

prune63.0ms

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

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune15.0ms

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

localize11.0ms

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)))

rewrite17.0ms

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:

8.0ms	(/ (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)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (/ x (* y 2.0)))
14.0ms	(cos (/ x (* y 2.0)))

simplify161.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	63	83
1	150	76
2	483	75
3	3179	75
4	5001	75

prune50.0ms

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))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

8.0ms	(- (/ x (* y 2.0)) (/ x (* y 2.0)))
16.0ms	(/ (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)))
9.0ms	(sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

1.0ms	(- (/ x (* y 2.0)) (/ x (* y 2.0)))
54.0ms	(/ (sin (/ x (* y 2.0))) (+ (sin (- (/ x (* y 2.0)) (/ x (* y 2.0)))) (sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))))
8.0ms	(sin (/ x (* y 2.0)))
8.0ms	(sin (+ (/ x (* y 2.0)) (/ x (* y 2.0))))

simplify71.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	356	404
1	1804	322
2	5002	322

prune330.0ms

Filtered

58 candidates to 48 candidates (82.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	50	8	58
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	52	16	68

Merged error: 24.5b

Counts

68 → 16

regimes217.0ms

Accuracy

0% (2.8b remaining)

Error of 28.3b against oracle of 25.5b 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

585.0ms	1398×	body	1280	valid
578.0ms	645×	body	2560	valid
250.0ms	970×	body	640	valid
237.0ms	4145×	body	80	valid
107.0ms	575×	body	320	valid
37.0ms	267×	body	160	valid