Details

sample76.0ms

Algorithm

intervals

Results

23.0ms	51×	body	1280	valid
16.0ms	19×	body	2560	valid
11.0ms	140×	body	80	valid
9.0ms	29×	body	640	valid
3.0ms	13×	body	320	valid
1.0ms	4×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune3.0ms

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: 36.4b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (* y 2.0))
8.6b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.2b	(tan (/ x (* y 2.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

5.0ms	(/ x (* y 2.0))
6.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms	(sin (/ x (* y 2.0)))
2.0ms	(tan (/ x (* y 2.0)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (* y 2.0))
22.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
15.0ms	(tan (/ x (* y 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5030	885

prune242.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	56	20	76
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	20	77

Merged error: 23.9b

Counts

77 → 20

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

prune72.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	19	19
Picked	1	1
Done	0	0
Total	20	20

Merged error: 23.9b

Counts

20 → 20

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ x y) (* (/ x y) 0.125))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
13×	`associate-l`
10×	`prod-exp` `cbrt-unprod`
9×	`times-frac`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
5×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down` `associate-*l/`
1×	`frac-times` `associate-r/` `associate-r` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 39

Calls

1 calls:

10.0ms

(* (/ x y) (* (/ x y) 0.125))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* (/ x y) (* (/ x y) 0.125))

simplify45.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4971	349
1	4971	349

prune109.0ms

Filtered

26 candidates to 42 candidates (-61.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	42	20	62

Merged error: 23.9b

Counts

62 → 20

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ x (* y 2.0))
8.6b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b	(sin (/ x (* y 2.0)))
27.2b	(tan (/ x (* y 2.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

5.0ms	(/ 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)))

series40.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ x (* y 2.0))
18.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms	(sin (/ x (* y 2.0)))
15.0ms	(tan (/ x (* y 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5030	885

prune168.0ms

Filtered

61 candidates to 76 candidates (-24.6%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	68	8	76
Fresh	6	11	17
Picked	1	0	1
Done	0	2	2
Total	75	21	96

Merged error: 23.9b

Counts

96 → 21

regimes590.0ms

Accuracy

0% (3.0b remaining)

Error of 28.1b against oracle of 25.1b and baseline of 28.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample2.3s

Algorithm

intervals

Results

660.0ms	1392×	body	1280	valid
574.0ms	672×	body	2560	valid
320.0ms	4139×	body	80	valid
308.0ms	953×	body	640	valid
128.0ms	542×	body	320	valid
54.0ms	302×	body	160	valid

Details

sample76.0ms

simplify2.0ms

prune3.0ms

localize9.0ms

rewrite17.0ms

series44.0ms

simplify52.0ms

prune242.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune72.0ms

localize6.0ms

rewrite12.0ms

series8.0ms

simplify45.0ms

prune109.0ms

localize15.0ms

rewrite18.0ms

series40.0ms

simplify52.0ms

prune168.0ms

regimes590.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling