Details

analyze807.0ms

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

sample87.0ms

Algorithm

intervals

Results

38.0ms	56×	body	1280	valid
22.0ms	45×	body	640	valid
12.0ms	129×	body	80	valid
5.0ms	18×	body	320	valid
2.0ms	8×	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

prune9.0ms

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:

0.1b	(* 3.0 (sin x))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
0.4b	(/ (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))
8.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
5.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4941	761
1	4941	761

prune163.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	64	11	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	65	12	77

Merged error: 0.0b

Counts

77 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(/ (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))
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4956	1386
1	4956	1386

prune220.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	114	11	125

Merged error: 0b

Counts

125 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-exp-log`
42×	`add-sqr-sqrt`
38×	`times-frac`
36×	`*-un-lft-identity`
35×	`add-cube-cbrt`
34×	`add-cbrt-cube`
22×	`prod-exp`
16×	`associate-l`
14×	`div-exp` `associate-r`
12×	`pow1` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/r` `associate-/l`
5×	`associate-*r/`
4×	`rec-exp` `1-exp` `pow-prod-down` `div-inv` `add-log-exp`
3×	`un-div-inv` `unswap-sqr`
2×	`frac-times` `frac-2neg` `clear-num` `*-commutative`
1×	`pow-flip` `associate-*l/` `inv-pow`

Counts

4 → 139

Calls

4 calls:

6.0ms	(/ (sin (* x 0.5)) 3.0)
6.0ms	(/ 1 (sin x))
12.0ms	(* (/ (sin (* x 0.5)) 3.0) (* (sin (* x 0.5)) (/ 1 (sin x))))
10.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))

series26.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify61.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5090	1452

prune225.0ms

Filtered

94 candidates to 151 candidates (-60.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	151	11	162

Merged error: 0b

Counts

162 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin (* x 0.5)) (cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)))
0.4b	(cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3))
0.4b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.8b	(pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`cbrt-prod`
32×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`unpow-prod-down` `cube-prod`
21×	`times-frac`
17×	`add-exp-log`
16×	`add-cbrt-cube`
7×	`pow1` `div-inv`
5×	`unswap-sqr`
4×	`cbrt-undiv` `div-exp` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l` `pow-exp` `prod-exp` `cbrt-unprod` `associate-/l*` `rem-cube-cbrt`
2×	`cbrt-div`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative` `rem-cbrt-cube`

Counts

4 → 130

Calls

4 calls:

13.0ms	(* (sin (* x 0.5)) (cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)))
4.0ms	(cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3))
5.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
6.0ms	(pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)

series41.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (sin (* x 0.5)) (cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)))
8.0ms	(cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3))
8.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
14.0ms	(pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)

simplify46.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5240	1849

prune198.0ms

Filtered

84 candidates to 142 candidates (-69.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	142	11	153

Merged error: 0b

Counts

153 → 11

regimes129.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

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

1.1s	1545×	body	1280	valid
549.0ms	1245×	body	640	valid
421.0ms	4324×	body	80	valid
173.0ms	578×	body	320	valid
62.0ms	308×	body	160	valid

Details

analyze807.0ms

sample87.0ms

simplify5.0ms

prune9.0ms

localize11.0ms

rewrite19.0ms

series22.0ms

simplify65.0ms

prune163.0ms

localize11.0ms

rewrite22.0ms

series21.0ms

simplify63.0ms

prune220.0ms

localize12.0ms

rewrite42.0ms

series26.0ms

simplify61.0ms

prune225.0ms

localize14.0ms

rewrite32.0ms

series41.0ms

simplify46.0ms

prune198.0ms

regimes129.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling