Details

sample2.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

25.0ms	38×	body	1280	valid
18.0ms	43×	body	640	valid
17.0ms	150×	body	80	valid
5.0ms	17×	body	320	valid
2.0ms	8×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	43	9
2	93	9
3	174	9
4	269	9
5	288	9
6	288	9

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: 15.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))
15.0b	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

8.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
7.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
9.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5)))
4.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))
11.0ms	(/ (* (* (/ 8.0 3.0) (sin (* x 0.5))) (sin (* x 0.5))) (sin x))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	402	818
1	2097	614
2	5002	599

prune185.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	76	12	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	12	89

Merged error: 0.1b

Counts

89 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(* (/ 8.0 3.0) (sin (* x 0.5)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
10.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
6.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (sin (* 0.5 x)) (sin x))
11.0ms	(* (* (/ 8.0 3.0) (sin (* x 0.5))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms	(* (/ 8.0 3.0) (sin (* x 0.5)))

simplify64.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	463	970
1	2477	779
2	5002	764

prune202.0ms

Filtered

73 candidates to 107 candidates (-46.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Merged error: 0b

Counts

119 → 11

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) 3.0)
0.1b	(/ (sin (* 0.5 x)) (sin x))
0.2b	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 93

Calls

3 calls:

4.0ms	(/ (sin (* 0.5 x)) 3.0)
4.0ms	(/ (sin (* 0.5 x)) (sin x))
11.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/ (sin (* 0.5 x)) 3.0)
6.0ms	(/ (sin (* 0.5 x)) (sin x))
11.0ms	(* (* 8.0 (/ (sin (* 0.5 x)) 3.0)) (/ (sin (* 0.5 x)) (sin x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	426	934
1	2116	775
2	5001	753

prune378.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	102	11	113

Merged error: 0b

Counts

113 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (sin (* 0.5 x)) (sin x))
0.1b	(/ 3.0 (sin (* 0.5 x)))
0.2b	(* (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) (sin x)))
0.3b	(/ 1 (/ 3.0 (sin (* 0.5 x))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
83×	`add-exp-log`
69×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
45×	`add-cbrt-cube`
31×	`div-exp`
30×	`prod-exp`
19×	`associate-/r*`
15×	`cbrt-undiv`
14×	`cbrt-unprod`
13×	`associate-r`
10×	`pow1`
9×	`associate-/l*`
8×	`div-inv`
6×	`rec-exp` `1-exp`
4×	`add-log-exp`
3×	`frac-2neg` `associate-*r/` `pow-prod-down` `clear-num`
2×	`frac-times` `associate-*l/` `un-div-inv`
1×	`pow-flip` `associate-l` `associate-/r/` `*-commutative` `inv-pow`

Counts

4 → 183

Calls

4 calls:

4.0ms	(/ (sin (* 0.5 x)) (sin x))
3.0ms	(/ 3.0 (sin (* 0.5 x)))
13.0ms	(* (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) (sin x)))
6.0ms	(/ 1 (/ 3.0 (sin (* 0.5 x))))

series27.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ (sin (* 0.5 x)) (sin x))
5.0ms	(/ 3.0 (sin (* 0.5 x)))
11.0ms	(* (* 8.0 (/ 1 (/ 3.0 (sin (* 0.5 x))))) (/ (sin (* 0.5 x)) (sin x)))
4.0ms	(/ 1 (/ 3.0 (sin (* 0.5 x))))

simplify100.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	763	1838
1	3872	1546
2	5002	1449

prune252.0ms

Filtered

109 candidates to 195 candidates (-78.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	195	11	206

Merged error: 0b

Counts

206 → 11

regimes58.0ms

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	9
1	14	9

end0.0ms

sample5.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0.048828%

Space saved by search: 0.048828%

Guaranteed chance to sample good point: 0%

Results

1.0s	1510×	body	1280	valid
543.0ms	1280×	body	640	valid
431.0ms	4324×	body	80	valid
174.0ms	583×	body	320	valid
65.0ms	303×	body	160	valid

Details

sample2.9s

simplify16.0ms

prune3.0ms

localize10.0ms

rewrite26.0ms

series20.0ms

simplify54.0ms

prune185.0ms

localize13.0ms

rewrite23.0ms

series23.0ms

simplify64.0ms

prune202.0ms

localize10.0ms

rewrite21.0ms

series20.0ms

simplify56.0ms

prune378.0ms

localize14.0ms

rewrite33.0ms

series27.0ms

simplify100.0ms

prune252.0ms

regimes58.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.2s

Profiling