Details

analyze823.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
37.5%	62.5%	0%	4
43.7%	56.2%	0%	5
46.9%	53.1%	0%	6
48.4%	51.5%	0%	7
49.2%	50.8%	0%	8
49.6%	50.4%	0%	9
49.8%	50.2%	0%	10
49.9%	50.1%	0%	11
49.9%	50%	0%	12
50%	50%	0%	13
50%	49.9%	0%	14

sample84.0ms

Algorithm

intervals

Results

35.0ms	47×	body	1280	valid
18.0ms	44×	body	640	valid
12.0ms	127×	body	80	valid
8.0ms	26×	body	320	valid
2.0ms	12×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	190	16
1	190	16

prune10.0ms

Filtered

1 candidates to 1 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: 0.4b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 3.0 (sin x))
0.3b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`pow1`
6×	`times-frac` `associate-l` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`associate-/l*` `add-log-exp`
2×	`pow-prod-down` `*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `clear-num` `associate-/r`

Counts

3 → 66

Calls

3 calls:

7.0ms	(* 3.0 (sin x))
5.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
9.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

series23.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 3.0 (sin x))
8.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
12.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

simplify64.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4941	761
1	4941	761

prune147.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	67	8	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	68	9	77

Merged error: 0.0b

Counts

77 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
40×	`times-frac`
33×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-l`
6×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
5×	`pow1`
4×	`prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
3×	`add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

3 → 104

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
4.0ms	(/ (sin (* x 0.5)) 3.0)
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (sin (* x 0.5)) (sin x))
3.0ms	(/ (sin (* x 0.5)) 3.0)
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4956	1386
1	4956	1386

prune225.0ms

Filtered

87 candidates to 113 candidates (-29.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	113	9	122

Merged error: 0b

Counts

122 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.1b	(* (sin (* x 0.5)) 0.3333333333333333)
0.2b	(* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log` `add-cbrt-cube`
18×	`times-frac`
16×	`associate-r`
10×	`pow1`
7×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`frac-2neg` `associate-*r/` `clear-num` `unswap-sqr`

Counts

3 → 78

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
4.0ms	(* (sin (* x 0.5)) 0.3333333333333333)
9.0ms	(* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/ (sin (* x 0.5)) (sin x))
3.0ms	(* (sin (* x 0.5)) 0.3333333333333333)
11.0ms	(* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5069	960

prune154.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	87	9	96

Merged error: 0b

Counts

96 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (/ (sin (* x 0.5)) (sqrt 3.0)) (sqrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
0.4b	(/ (sin (* x 0.5)) (sqrt 3.0))
0.4b	(/ (/ (sin (* x 0.5)) (sqrt 3.0)) (sqrt 3.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
349×	`add-sqr-sqrt`
294×	`add-cube-cbrt` `*-un-lft-identity`
274×	`sqrt-prod`
136×	`associate-l`
34×	`add-exp-log` `add-cbrt-cube`
28×	`associate-/l*`
18×	`div-inv`
15×	`associate-/r*`
14×	`cbrt-undiv` `div-exp` `unswap-sqr`
13×	`associate-r`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `associate-/l/`

Counts

4 → 428

Calls

4 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
49.0ms	(* (/ (/ (sin (* x 0.5)) (sqrt 3.0)) (sqrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
5.0ms	(/ (sin (* x 0.5)) (sqrt 3.0))
11.0ms	(/ (/ (sin (* x 0.5)) (sqrt 3.0)) (sqrt 3.0))

series49.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(/ (sin (* x 0.5)) (sin x))
19.0ms	(* (/ (/ (sin (* x 0.5)) (sqrt 3.0)) (sqrt 3.0)) (/ (sin (* x 0.5)) (sin x)))
6.0ms	(/ (sin (* x 0.5)) (sqrt 3.0))
16.0ms	(/ (/ (sin (* x 0.5)) (sqrt 3.0)) (sqrt 3.0))

simplify110.0ms

Algorithm

egg-herbie

Counts

440 → 440

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4962	7225
1	4962	7225

prune969.0ms

Filtered

250 candidates to 440 candidates (-76.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	440	0	440
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	440	9	449

Merged error: 0b

Counts

449 → 9

regimes120.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1482×	body	1280	valid
522.0ms	1230×	body	640	valid
436.0ms	4345×	body	80	valid
187.0ms	614×	body	320	valid
66.0ms	329×	body	160	valid

Details

analyze823.0ms

sample84.0ms

simplify5.0ms

prune10.0ms

localize11.0ms

rewrite23.0ms

series23.0ms

simplify64.0ms

prune147.0ms

localize11.0ms

rewrite23.0ms

series21.0ms

simplify66.0ms

prune225.0ms

localize13.0ms

rewrite20.0ms

series21.0ms

simplify59.0ms

prune154.0ms

localize13.0ms

rewrite95.0ms

series49.0ms

simplify110.0ms

prune969.0ms

regimes120.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling