Details

sample65.0ms

Algorithm

intervals

Results

23.0ms	287×	body	80	valid
15.0ms	28×	body	1280	valid
7.0ms	23×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

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: 26.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
4.7b	(* (* x (pow sin 2.0)) x)
8.5b	(* x (pow sin 2.0))
18.2b	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

rewrite33.0ms

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:

10.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
5.0ms	(* (* x (pow sin 2.0)) x)
5.0ms	(* x (pow sin 2.0))
9.0ms	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

series886.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
183.0ms	(* (* x (pow sin 2.0)) x)
138.0ms	(* x (pow sin 2.0))
279.0ms	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	435	927
1	2042	771
2	5002	771

prune242.0ms

Filtered

127 candidates to 65 candidates (51.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	7	128

Merged error: 15.8b

Counts

128 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))
0.4b	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
4.7b	(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
18.2b	(* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

rewrite56.0ms

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:

7.0ms	(* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))
17.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
9.0ms	(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
12.0ms	(* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

series918.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2)))
314.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
154.0ms	(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
267.0ms	(* (pow cos 2.0) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

simplify93.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	586	2140
1	2792	1433
2	5002	1421

prune226.0ms

Filtered

198 candidates to 63 candidates (31.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	192	6	198
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	196	9	205

Merged error: 3.9b

Counts

205 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
0.4b	(/ (cos (* 2.0 x)) (* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2)))))))
5.5b	(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
5.5b	(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

rewrite28.0ms

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:

3.0ms	(* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
5.0ms	(/ (cos (* 2.0 x)) (* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2)))))))
10.0ms	(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
7.0ms	(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

series668.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))))
230.0ms	(/ (cos (* 2.0 x)) (* (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))) (fabs (* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2)))))))
202.0ms	(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))
202.0ms	(* (pow cos (/ 2.0 2)) (* x (pow sin (/ 2.0 2))))

simplify48.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	316	1464
1	1229	1191
2	5002	1118

prune291.0ms

Filtered

118 candidates to 67 candidates (56.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	110	8	118
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	116	11	127

Merged error: 0.1b

Counts

127 → 11

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b	(pow (fabs (* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)) 2)
0.4b	(/ (cos (* 2.0 x)) (pow (fabs (* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)) 2))
5.4b	(* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-exp-log`
27×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
21×	`prod-exp`
18×	`pow-exp`
16×	`unpow-prod-down`
9×	`pow-to-exp`
8×	`associate-/r*`
7×	`add-cbrt-cube` `sqr-pow`
5×	`associate-l` `unpow2`
4×	`pow1`
3×	`pow-unpow` `div-exp` `associate-r` `associate-/l*` `add-log-exp`
2×	`unswap-sqr`
1×	`cbrt-undiv` `pow-pow` `frac-2neg` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

3 → 98

Calls

3 calls:

2.0ms	(pow (fabs (* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)) 2)
5.0ms	(/ (cos (* 2.0 x)) (pow (fabs (* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)) 2))
6.0ms	(* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)

series452.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(pow (fabs (* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)) 2)
109.0ms	(/ (cos (* 2.0 x)) (pow (fabs (* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)) 2))
316.0ms	(* (pow (* (pow cos 1.0) (pow sin 1.0)) 1.0) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	329	1314
1	1140	1198
2	5001	1189

prune284.0ms

Filtered

107 candidates to 65 candidates (60.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	99	8	107
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	103	15	118

Merged error: 0.0b

Counts

118 → 15

regimes369.0ms

Accuracy

0% (2.9b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.9s

Algorithm

intervals

Results

730.0ms	9164×	body	80	valid
349.0ms	773×	body	1280	valid
318.0ms	980×	body	640	valid
143.0ms	570×	body	320	valid
47.0ms	305×	body	160	valid

Details

sample65.0ms

simplify42.0ms

prune3.0ms

localize13.0ms

rewrite33.0ms

series886.0ms

simplify59.0ms

prune242.0ms

localize15.0ms

rewrite56.0ms

series918.0ms

simplify93.0ms

prune226.0ms

localize14.0ms

rewrite28.0ms

series668.0ms

simplify48.0ms

prune291.0ms

localize16.0ms

rewrite16.0ms

series452.0ms

simplify45.0ms

prune284.0ms

regimes369.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling