Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	294×	body	80	valid
0.0hr	27×	body	1280	valid
0.0hr	32×	body	640	valid
0.0hr	16×	body	320	valid
0.0hr	18×	body	160	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	27	8
1	68	8
2	243	8
3	1266	8
4	5001	8

prune0.0hr

Filtered

1 candidates to 0 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: 30.0b

Counts

2 → 1

localize0.0hr

Local error

Found 4 expressions with local error:

0.8b	(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x)))
4.6b	(* (* x (pow s 2.0)) x)
6.5b	(* x (pow s 2.0))
21.1b	(* (pow c 2.0) (* (* x (pow s 2.0)) x))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

122×	`add-exp-log`
82×	`prod-exp`
34×	`add-cbrt-cube`
18×	`pow-to-exp` `pow-exp`
17×	`add-sqr-sqrt`
16×	`div-exp` `cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r` `associate-l`
7×	`unpow-prod-down`
6×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr` `sqr-pow`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 115

Calls

4 calls:

0.0hr	(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x)))
0.0hr	(* (* x (pow s 2.0)) x)
0.0hr	(* x (pow s 2.0))
0.0hr	(* (pow c 2.0) (* (* x (pow s 2.0)) x))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x)))
0.0hr	(* (* x (pow s 2.0)) x)
0.0hr	(* x (pow s 2.0))
0.0hr	(* (pow c 2.0) (* (* x (pow s 2.0)) x))

simplify0.0hr

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	571	1041
1	2506	875
2	5001	871

prune0.0hr

Filtered

127 candidates to 70 candidates (44.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	8	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	8	128

Merged error: 17.8b

Counts

128 → 8

localize0.0hr

Local error

Found 4 expressions with local error:

0.1b	(* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2)))
0.8b	(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)))
4.6b	(* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)
21.1b	(* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

416×	`add-exp-log`
343×	`prod-exp`
84×	`pow-to-exp` `pow-exp`
52×	`add-cbrt-cube`
43×	`div-exp`
29×	`cbrt-unprod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`associate-l`
6×	`pow1` `unpow-prod-down`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`sqr-pow`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 186

Calls

4 calls:

0.0hr	(* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2)))
0.0hr	(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)))
0.0hr	(* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)
0.0hr	(* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2)))
0.0hr	(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)))
0.0hr	(* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)
0.0hr	(* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x))

simplify0.0hr

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	721	2340
1	3234	1837
2	5001	1781

prune0.0hr

Filtered

198 candidates to 69 candidates (65.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	191	7	198
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	197	9	206

Merged error: 3.4b

Counts

206 → 9

localize0.0hr

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.8b	(/ (cos (* 2.0 x)) (* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))))
5.1b	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
5.1b	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

63×	`add-exp-log`
44×	`prod-exp`
21×	`add-cbrt-cube`
17×	`associate-l`
16×	`add-sqr-sqrt`
14×	`pow-to-exp` `add-cube-cbrt` `*-un-lft-identity` `pow-exp`
11×	`pow1`
8×	`cbrt-unprod`
6×	`unpow-prod-down`
5×	`associate-r`
4×	`add-log-exp`
3×	`times-frac` `swap-sqr` `-commutative` `associate-/l`
2×	`cbrt-undiv` `div-exp` `sqr-pow`
1×	`pow2` `frac-2neg` `pow-plus` `pow-prod-down` `clear-num` `associate-/r*` `pow-sqr` `pow-prod-up` `div-inv` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

0.0hr	(* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.0hr	(/ (cos (* 2.0 x)) (* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.0hr	(/ (cos (* 2.0 x)) (* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

simplify0.0hr

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	402	1518
1	1482	1245
2	5002	1172

prune0.0hr

Filtered

118 candidates to 69 candidates (41.5%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	107	11	118
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	113	14	127

Merged error: 0.0b

Counts

127 → 14

localize0.0hr

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.3b	(/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
5.1b	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
5.1b	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
63×	`add-exp-log`
58×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
42×	`prod-exp`
21×	`add-cbrt-cube`
16×	`associate-/l*`
14×	`pow-to-exp` `associate-l` `pow-exp`
6×	`unpow-prod-down` `associate-/r*` `cbrt-unprod` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
2×	`frac-2neg` `associate-r` `clear-num` `*-commutative` `sqr-pow`
1×	`associate-/l/`

Counts

4 → 157

Calls

4 calls:

0.0hr	(/ (/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.0hr	(/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

series0.0hr

Counts

4 → 12

Calls

4 calls:

0.0hr	(/ (/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.0hr	(/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
0.0hr	(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

simplify0.0hr

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	595	3343
1	2082	3048
2	5001	2963

prune0.0hr

Filtered

169 candidates to 109 candidates (35.5%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	163	6	169
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	167	16	183

Merged error: 0.0b

Counts

183 → 16

regimes0.0hr

Accuracy

0% (2.7b remaining)

Error of 2.8b against oracle of 0.1b and baseline of 2.8b

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	23	19
1	23	19

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	9046×	body	80	valid
0.0hr	803×	body	1280	valid
0.0hr	993×	body	640	valid
0.0hr	553×	body	320	valid
0.0hr	315×	body	160	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

Profiling