Details

analyze824.0ms

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

sample82.0ms

Algorithm

intervals

Results

38.0ms	57×	body	1280	valid
18.0ms	45×	body	640	valid
12.0ms	133×	body	80	valid
3.0ms	12×	body	320	valid
2.0ms	9×	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

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 4 expressions with local error:

0.0b	(* 8.0 (* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x)))))
0.2b	(* 3.0 (sin x))
0.3b	(/ (sin (* x 0.5)) (* 3.0 (sin x)))
0.4b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))

rewrite33.0ms

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

series33.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5315	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	89	12	101
Fresh	1	0	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)
0.2b	(/ (sin (* x 0.5)) (sin x))
0.2b	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite31.0ms

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)))

series39.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* 8.0 (* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x))))
6.0ms	(/ (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)))

simplify69.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4959	1786
1	4959	1786

prune251.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	144	11	155

Merged error: 0b

Counts

155 → 11

localize12.0ms

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)))
0.4b	(* (sin (* x 0.5)) (/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5))))))

rewrite36.0ms

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)))
14.0ms	(* (sin (* x 0.5)) (/ 1 (* 3.0 (/ (sin x) (sin (* x 0.5))))))

series33.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5035	1532

prune388.0ms

Filtered

87 candidates to 141 candidates (-62.1%)

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

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (/ (pow (sin (* x 0.5)) 2) (sin x)) 2.6666666666666665)
0.3b	(pow (sin (* x 0.5)) 2)
17.7b	(/ (pow (sin (* x 0.5)) 2) (sin x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

52×	`times-frac`
50×	`add-sqr-sqrt`
38×	`add-cube-cbrt` `*-un-lft-identity`
28×	`associate-l`
25×	`unpow-prod-down`
19×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`unpow2` `sqr-pow`
8×	`associate-/l*`
6×	`pow1` `div-exp`
5×	`unswap-sqr`
4×	`prod-exp`
3×	`pow-to-exp` `pow-unpow` `associate-r` `pow-exp` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `cbrt-unprod` `div-inv`
1×	`pow-pow` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

3 → 119

Calls

3 calls:

9.0ms	(* (/ (pow (sin (* x 0.5)) 2) (sin x)) 2.6666666666666665)
3.0ms	(pow (sin (* x 0.5)) 2)
6.0ms	(/ (pow (sin (* x 0.5)) 2) (sin x))

series26.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* (/ (pow (sin (* x 0.5)) 2) (sin x)) 2.6666666666666665)
4.0ms	(pow (sin (* x 0.5)) 2)
9.0ms	(/ (pow (sin (* x 0.5)) 2) (sin x))

simplify67.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5078	1550

prune184.0ms

Filtered

87 candidates to 128 candidates (-47.1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	128	11	139

Merged error: 0b

Counts

139 → 11

regimes56.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

analyze824.0ms

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

sample2.5s

Algorithm

intervals

Results

1.1s	1480×	body	1280	valid
573.0ms	1268×	body	640	valid
438.0ms	4318×	body	80	valid
200.0ms	630×	body	320	valid
68.0ms	304×	body	160	valid

Details

analyze824.0ms

sample82.0ms

simplify4.0ms

prune9.0ms

localize11.0ms

rewrite33.0ms

series33.0ms

simplify51.0ms

prune190.0ms

localize11.0ms

rewrite31.0ms

series39.0ms

simplify69.0ms

prune251.0ms

localize12.0ms

rewrite36.0ms

series33.0ms

simplify52.0ms

prune388.0ms

localize10.0ms

rewrite22.0ms

series26.0ms

simplify67.0ms

prune184.0ms

regimes56.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze824.0ms

sample2.5s

Profiling