Details

analyze774.0ms

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

sample85.0ms

Algorithm

intervals

Results

35.0ms	53×	body	1280	valid
23.0ms	49×	body	640	valid
12.0ms	128×	body	80	valid
6.0ms	20×	body	320	valid
1.0ms	6×	body	160	valid

simplify6.0ms

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

localize10.0ms

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))))
0.3b	(/ (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)))

series24.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4941	761
1	4941	761

prune167.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	63	12	75
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	65	12	77

Merged error: 0.0b

Counts

77 → 12

localize12.0ms

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)))

rewrite21.0ms

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:

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)))

simplify94.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4956	1386
1	4956	1386

prune261.0ms

Filtered

87 candidates to 113 candidates (-29.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	108	5	113
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	112	13	125

Merged error: 0b

Counts

125 → 13

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 162

Calls

3 calls:

6.0ms	(/ (sin (* x 0.5)) 3.0)
27.0ms	(* (sin (* x 0.5)) (/ (/ (sin (* x 0.5)) 3.0) (sin x)))
11.0ms	(/ (/ (sin (* x 0.5)) 3.0) (sin x))

series22.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify70.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5100	2524

prune442.0ms

Filtered

138 candidates to 171 candidates (-23.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	172	12	184

Merged error: 0b

Counts

184 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

4.0ms	(/ (sin (* x 0.5)) (sin x))
7.0ms	(* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333)
8.0ms	(* (sin (* x 0.5)) (* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333))

series28.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ (sin (* x 0.5)) (sin x))
10.0ms	(* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333)
11.0ms	(* (sin (* x 0.5)) (* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333))

simplify63.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4928	996
1	4928	996

prune132.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	89	12	101

Merged error: 0b

Counts

101 → 12

regimes60.0ms

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	1553×	body	1280	valid
531.0ms	1279×	body	640	valid
415.0ms	4226×	body	80	valid
176.0ms	621×	body	320	valid
67.0ms	321×	body	160	valid

Details

analyze774.0ms

sample85.0ms

simplify6.0ms

prune10.0ms

localize10.0ms

rewrite19.0ms

series24.0ms

simplify62.0ms

prune167.0ms

localize12.0ms

rewrite21.0ms

series21.0ms

simplify94.0ms

prune261.0ms

localize19.0ms

rewrite51.0ms

series22.0ms

simplify70.0ms

prune442.0ms

localize10.0ms

rewrite22.0ms

series28.0ms

simplify63.0ms

prune132.0ms

regimes60.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling