Details

analyze801.0ms

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

sample77.0ms

Algorithm

intervals

Results

32.0ms	49×	body	1280	valid
17.0ms	42×	body	640	valid
13.0ms	141×	body	80	valid
6.0ms	20×	body	320	valid
1.0ms	4×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	190	16
1	190	16

prune13.0ms

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 4 expressions with local error:

0.0b	(* 8.0 (* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x)))))
0.1b	(* 3.0 (sin x))
0.3b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

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

series35.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify59.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4955	1109
1	4955	1109

prune190.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	90	11	101
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	12	103

Merged error: 0.0b

Counts

103 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 8.0 (* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x))))
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)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
40×	`times-frac`
38×	`add-exp-log` `add-cbrt-cube`
35×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-l`
14×	`associate-r`
13×	`prod-exp` `cbrt-unprod`
11×	`pow1`
10×	`cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-/l`
5×	`associate-*r/`
4×	`pow-prod-down` `div-inv` `add-log-exp` `unswap-sqr`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`

Counts

4 → 131

Calls

4 calls:

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

series36.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* 8.0 (* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x))))
4.0ms	(/ (sin (* x 0.5)) 3.0)
7.0ms	(/ (sin (* x 0.5)) (sin x))
14.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4953	1786
1	4953	1786

prune263.0ms

Filtered

104 candidates to 143 candidates (-37.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	144	11	155

Merged error: 0.0b

Counts

155 → 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))))
0.2b	(* (sin (* x 0.5)) (/ 1 (sin x)))

rewrite31.0ms

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:

4.0ms	(/ (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)))

series28.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (sin (* x 0.5)) 3.0)
4.0ms	(/ 1 (sin x))
12.0ms	(* (/ (sin (* x 0.5)) 3.0) (* (sin (* x 0.5)) (/ 1 (sin x))))
7.0ms	(* (sin (* x 0.5)) (/ 1 (sin x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5090	1452

prune229.0ms

Filtered

93 candidates to 151 candidates (-62.4%)

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: 0.0b

Counts

162 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 8.0 (* (sin (* x 0.5)) (* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333)))
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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

10.0ms	(* 8.0 (* (sin (* x 0.5)) (* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333)))
4.0ms	(/ (sin (* x 0.5)) (sin x))
6.0ms	(* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333)
8.0ms	(* (sin (* x 0.5)) (* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333))

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* 8.0 (* (sin (* x 0.5)) (* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333)))
7.0ms	(/ (sin (* x 0.5)) (sin x))
9.0ms	(* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333)
12.0ms	(* (sin (* x 0.5)) (* (/ (sin (* x 0.5)) (sin x)) 0.3333333333333333))

simplify69.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4973	1359
1	4973	1359

prune166.0ms

Filtered

81 candidates to 116 candidates (-43.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	117	10	127

Merged error: 0.0b

Counts

127 → 10

regimes123.0ms

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

1.0s	1534×	body	1280	valid
541.0ms	1265×	body	640	valid
424.0ms	4287×	body	80	valid
179.0ms	612×	body	320	valid
62.0ms	302×	body	160	valid

Details

analyze801.0ms

sample77.0ms

simplify4.0ms

prune13.0ms

localize11.0ms

rewrite29.0ms

series35.0ms

simplify59.0ms

prune190.0ms

localize11.0ms

rewrite32.0ms

series36.0ms

simplify64.0ms

prune263.0ms

localize12.0ms

rewrite31.0ms

series28.0ms

simplify68.0ms

prune229.0ms

localize12.0ms

rewrite32.0ms

series40.0ms

simplify69.0ms

prune166.0ms

regimes123.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling