Details

sample302.0ms

Algorithm

intervals

Results

22.0ms	51×	body	1280	valid
12.0ms	48×	body	640	valid
7.0ms	132×	body	80	valid
4.0ms	256×	pre	80	true
3.0ms	15×	body	320	valid
1.0ms	10×	body	160	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	6
1	20	5
2	23	5
3	24	5
4	24	5

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (cos v))
0.1b	(* e (sin v))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`associate-/r/` `associate-/l*`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
2.0ms	(* e (cos v))
4.0ms	(* e (sin v))

series196.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
38.0ms	(* e (cos v))
66.0ms	(* e (sin v))

simplify47.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	130	99
1	421	93
2	1598	88
3	5001	88

prune46.0ms

Filtered

18 candidates to 12 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	16	4	20

Merged error: 0.0b

Counts

20 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (cos v))
0.1b	(* (* e (cos v)) (* e (cos v)))
0.1b	(* e (sin v))
0.1b	(pow (* e (cos v)) 3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-commutative`
2×	`unpow-prod-down` `swap-sqr` `associate-r` `associate-l`
1×	`pow2` `pow-to-exp` `unpow3` `sqr-pow`

Counts

4 → 15

Calls

4 calls:

2.0ms	(* e (cos v))
5.0ms	(* (* e (cos v)) (* e (cos v)))
3.0ms	(* e (sin v))
3.0ms	(pow (* e (cos v)) 3)

series205.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* e (cos v))
56.0ms	(* (* e (cos v)) (* e (cos v)))
41.0ms	(* e (sin v))
69.0ms	(pow (* e (cos v)) 3)

simplify39.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	74	74
1	267	74
2	1105	73
3	5001	73

prune83.0ms

Filtered

27 candidates to 18 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(* e (cos v))
0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r/`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3-+` `flip-+`
1×	`associate-/r` `-commutative`

Counts

3 → 15

Calls

3 calls:

2.0ms	(* e (cos v))
5.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
4.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* e (cos v))
71.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify94.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	181	142
1	610	132
2	2992	129
3	5001	127

prune60.0ms

Filtered

24 candidates to 19 candidates (79.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	24	4	28

Merged error: 0.0b

Counts

28 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (fma (cos v) e 1.0) e)
0.3b	(/ (sin v) (/ (fma (cos v) e 1.0) e))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
1×	`associate-/r*`

Counts

2 → 10

Calls

2 calls:

2.0ms	(/ (fma (cos v) e 1.0) e)
3.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

series140.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (fma (cos v) e 1.0) e)
84.0ms	(/ (sin v) (/ (fma (cos v) e 1.0) e))

simplify66.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	122	96
1	400	91
2	2041	88
3	5001	87

prune34.0ms

Filtered

16 candidates to 12 candidates (75.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	16	4	20

Merged error: 0.0b

Counts

20 → 4

regimes43.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	20
1	24	20

end0.0ms

sample1.7s

Algorithm

intervals

Results

673.0ms	1541×	body	1280	valid
328.0ms	1259×	body	640	valid
257.0ms	4301×	body	80	valid
108.0ms	601×	body	320	valid
108.0ms	8000×	pre	80	true
37.0ms	298×	body	160	valid