Details

analyze944.0ms

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

sample76.0ms

Algorithm

intervals

Results

28.0ms	36×	body	1280	valid
18.0ms	43×	body	640	valid
13.0ms	144×	body	80	valid
7.0ms	26×	body	320	valid
1.0ms	7×	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: 0.3b

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

rewrite28.0ms

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

series35.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5315	1109

prune208.0ms

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

localize12.0ms

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)))

rewrite33.0ms

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

series31.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify67.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4959	1786
1	4959	1786

prune279.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	143	12	155

Merged error: 0.0b

Counts

155 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 8.0 (* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x))))
0.1b	(* (sin (* x 0.5)) 0.3333333333333333)
0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

9.0ms	(* 8.0 (* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x))))
4.0ms	(* (sin (* x 0.5)) 0.3333333333333333)
4.0ms	(/ (sin (* x 0.5)) (sin x))
9.0ms	(* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* 8.0 (* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x))))
6.0ms	(* (sin (* x 0.5)) 0.3333333333333333)
7.0ms	(/ (sin (* x 0.5)) (sin x))
11.0ms	(* (* (sin (* x 0.5)) 0.3333333333333333) (/ (sin (* x 0.5)) (sin x)))

simplify52.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5273	1354

prune193.0ms

Filtered

75 candidates to 116 candidates (-54.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	9	10
Picked	1	0	1
Done	0	1	1
Total	117	11	128

Merged error: 0b

Counts

128 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 106

Calls

4 calls:

4.0ms	(* 3.0 (sin x))
5.0ms	(/ 1 (* 3.0 (sin x)))
9.0ms	(* (sin (* x 0.5)) (/ 1 (* 3.0 (sin x))))
10.0ms	(* (sin (* x 0.5)) (* (sin (* x 0.5)) (/ 1 (* 3.0 (sin x)))))

series28.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 3.0 (sin x))
4.0ms	(/ 1 (* 3.0 (sin x)))
8.0ms	(* (sin (* x 0.5)) (/ 1 (* 3.0 (sin x))))
13.0ms	(* (sin (* x 0.5)) (* (sin (* x 0.5)) (/ 1 (* 3.0 (sin x)))))

simplify55.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5030	1021

prune132.0ms

Filtered

66 candidates to 118 candidates (-78.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	118	11	129

Merged error: 0b

Counts

129 → 11

regimes152.0ms

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

analyze820.0ms

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

sample2.4s

Algorithm

intervals

Results

1.0s	1495×	body	1280	valid
550.0ms	1266×	body	640	valid
416.0ms	4297×	body	80	valid
183.0ms	601×	body	320	valid
69.0ms	341×	body	160	valid

Details

analyze944.0ms

sample76.0ms

simplify5.0ms

prune10.0ms

localize11.0ms

rewrite28.0ms

series35.0ms

simplify47.0ms

prune208.0ms

localize12.0ms

rewrite33.0ms

series31.0ms

simplify67.0ms

prune279.0ms

localize11.0ms

rewrite30.0ms

series35.0ms

simplify52.0ms

prune193.0ms

localize13.0ms

rewrite31.0ms

series28.0ms

simplify55.0ms

prune132.0ms

regimes152.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze820.0ms

sample2.4s

Profiling