Details

analyze825.0ms

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

34.0ms	49×	body	1280	valid
21.0ms	50×	body	640	valid
16.0ms	130×	body	80	valid
4.0ms	15×	body	320	valid
3.0ms	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:

0.1b	(* 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)))

series23.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify63.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4941	761
1	4941	761

prune165.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	65	10	75
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	67	10	77

Merged error: 0.0b

Counts

77 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) 3.0)
0.2b	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))
0.2b	(/ (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)
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))
4.0ms	(/ (sin (* x 0.5)) (sin x))

series21.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify69.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4956	1386
1	4956	1386

prune230.0ms

Filtered

89 candidates to 113 candidates (-27.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	109	4	113
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	112	11	123

Merged error: 0b

Counts

123 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
34×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
24×	`prod-exp`
21×	`associate-r`
20×	`div-exp`
11×	`pow1`
10×	`cbrt-undiv` `cbrt-unprod`
6×	`rec-exp` `1-exp` `associate-l` `associate-/l*`
4×	`associate-r/` `associate-/r` `div-inv` `add-log-exp`
3×	`pow-prod-down` `unswap-sqr`
2×	`pow-flip` `frac-2neg` `clear-num` `associate-/r/` `*-commutative`
1×	`un-div-inv` `inv-pow`

Counts

4 → 129

Calls

4 calls:

7.0ms	(* 3.0 (/ (sin x) (sin (* x 0.5))))
6.0ms	(/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5)))))
4.0ms	(/ (sin x) (sin (* x 0.5)))
11.0ms	(* (sin (* x 0.5)) (/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5))))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* 3.0 (/ (sin x) (sin (* x 0.5))))
8.0ms	(/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5)))))
7.0ms	(/ (sin x) (sin (* x 0.5)))
11.0ms	(* (sin (* x 0.5)) (/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5))))))

simplify74.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4941	1532
1	4941	1532

prune205.0ms

Filtered

85 candidates to 141 candidates (-65.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	141	11	152

Merged error: 0b

Counts

152 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

4.0ms	(cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3))
11.0ms	(* (sin (* x 0.5)) (cbrt (pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)))
6.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
8.0ms	(pow (/ (sin (* x 0.5)) (* 3.0 (sin x))) 3)

series41.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (34.0ms)

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

regimes61.0ms

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

1.1s	1492×	body	1280	valid
536.0ms	1220×	body	640	valid
448.0ms	4374×	body	80	valid
194.0ms	619×	body	320	valid
65.0ms	295×	body	160	valid

Details

analyze825.0ms

sample87.0ms

simplify5.0ms

prune10.0ms

localize11.0ms

rewrite19.0ms

series23.0ms

simplify63.0ms

prune165.0ms

localize11.0ms

rewrite22.0ms

series21.0ms

simplify69.0ms

prune230.0ms

localize16.0ms

rewrite33.0ms

series34.0ms

simplify74.0ms

prune205.0ms

localize14.0ms

rewrite33.0ms

series41.0ms

simplify47.0ms

prune198.0ms

regimes61.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling