Details

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

23.0ms	46×	body	1280	valid
21.0ms	22×	body	2560	valid
11.0ms	146×	body	80	valid
8.0ms	27×	body	640	valid
3.0ms	13×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune4.0ms

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: 33.0b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

7.2b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
25.2b	(sin (/ x (* y 2.0)))
25.3b	(tan (/ x (* y 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	138	457
1	421	413
2	1751	413
3	5002	413

prune174.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	39	13	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	13	53

Merged error: 23.3b

Counts

53 → 13

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

prune49.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	12	12
Picked	1	1
Done	0	0
Total	13	13

Merged error: 23.3b

Counts

13 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
7.2b	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
25.2b	(sin (/ x (* y 2.0)))
25.3b	(tan (/ x (* y 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
55×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`add-exp-log` `associate-/r*`
11×	`add-cbrt-cube`
8×	`div-exp`
6×	`tan-quot` `associate-/r/` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num`
1×	`pow-flip` `inv-pow`

Counts

4 → 123

Calls

4 calls:

8.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
5.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ 1 (/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0)))))
17.0ms	(/ (sin (/ x (* y 2.0))) (tan (/ x (* y 2.0))))
3.0ms	(sin (/ x (* y 2.0)))
13.0ms	(tan (/ x (* y 2.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	375	1622
1	1987	1470
2	5001	1395

prune252.0ms

Filtered

77 candidates to 135 candidates (-75.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	126	9	135
Fresh	5	6	11
Picked	1	0	1
Done	0	1	1
Total	132	16	148

Merged error: 23.2b

Counts

148 → 16

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1 (cos (/ x (* y 2.0))))
25.2b	(cos (/ x (* y 2.0)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
6×	`add-exp-log`
4×	`add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`div-exp` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

2 → 38

Calls

2 calls:

3.0ms	(/ 1 (cos (/ x (* y 2.0))))
2.0ms	(cos (/ x (* y 2.0)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ 1 (cos (/ x (* y 2.0))))
5.0ms	(cos (/ x (* y 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	106	281
1	365	250
2	1342	236
3	5001	236

prune48.0ms

Filtered

25 candidates to 44 candidates (-76.0%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	3	11	14
Picked	1	0	1
Done	0	1	1
Total	46	14	60

Merged error: 23.2b

Counts

60 → 14

regimes468.0ms

Accuracy

0% (2.3b remaining)

Error of 28.3b against oracle of 26.0b 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

sample4.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results

754.0ms	1441×	body	1280	valid
634.0ms	609×	body	2560	valid
333.0ms	1007×	body	640	valid
314.0ms	4113×	body	80	valid
134.0ms	554×	body	320	valid
50.0ms	276×	body	160	valid

Details

sample2.3s

simplify4.0ms

prune4.0ms

localize10.0ms

rewrite11.0ms

series37.0ms

simplify51.0ms

prune174.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune49.0ms

localize10.0ms

rewrite22.0ms

series50.0ms

simplify62.0ms

prune252.0ms

localize7.0ms

rewrite6.0ms

series12.0ms

simplify40.0ms

prune48.0ms

regimes468.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.7s

Profiling