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

sample88.0ms

Algorithm

intervals

Results

42.0ms	58×	body	1280	valid
17.0ms	39×	body	640	valid
12.0ms	127×	body	80	valid
6.0ms	20×	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))
0.4b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.4b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

rewrite19.0ms

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:

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

series26.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 3.0 (sin x))
12.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
11.0ms	(* (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

prune150.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	65	10	75
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	12	77

Merged error: 0.0b

Counts

77 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) 3.0)
7.0ms	(/ (sin (* x 0.5)) (sin x))
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

prune219.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	113	12	125

Merged error: 0b

Counts

125 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))
0.3b	(* (sin x) (cbrt 3.0))
0.4b	(/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0))))
0.4b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

9.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))
5.0ms	(* (sin x) (cbrt 3.0))
14.0ms	(/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0))))
14.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))
5.0ms	(* (sin x) (cbrt 3.0))
15.0ms	(/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0))))
18.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (* (cbrt 3.0) (cbrt 3.0)) (* (sin x) (cbrt 3.0)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5208	1121

prune201.0ms

Filtered

70 candidates to 116 candidates (-65.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	116	12	128

Merged error: 0b

Counts

128 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))
0.6b	(cbrt (sin (* x 0.5)))
0.6b	(cbrt (sin (* x 0.5)))
0.6b	(cbrt (sin (* x 0.5)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))
2.0ms	(cbrt (sin (* x 0.5)))
2.0ms	(cbrt (sin (* x 0.5)))
2.0ms	(cbrt (sin (* x 0.5)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))
19.0ms	(cbrt (sin (* x 0.5)))
21.0ms	(cbrt (sin (* x 0.5)))
19.0ms	(cbrt (sin (* x 0.5)))

simplify30.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4954	780
1	4954	780

prune240.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	85	12	97

Merged error: 0b

Counts

97 → 12

regimes141.0ms

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

sample2.6s

Algorithm

intervals

Results

1.2s	1487×	body	1280	valid
527.0ms	1213×	body	640	valid
433.0ms	4405×	body	80	valid
185.0ms	602×	body	320	valid
58.0ms	293×	body	160	valid

Details

analyze823.0ms

sample88.0ms

simplify5.0ms

prune10.0ms

localize11.0ms

rewrite19.0ms

series26.0ms

simplify64.0ms

prune150.0ms

localize14.0ms

rewrite22.0ms

series21.0ms

simplify66.0ms

prune219.0ms

localize14.0ms

rewrite47.0ms

series47.0ms

simplify65.0ms

prune201.0ms

localize17.0ms

rewrite13.0ms

series82.0ms

simplify30.0ms

prune240.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling