Details

analyze787.0ms

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

sample72.0ms

Algorithm

intervals

Results

29.0ms	45×	body	1280	valid
14.0ms	35×	body	640	valid
14.0ms	151×	body	80	valid
6.0ms	22×	body	320	valid
1.0ms	3×	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

prune12.0ms

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

rewrite31.0ms

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)))))
5.0ms	(* 3.0 (sin x))
9.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
6.0ms	(/ (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))
12.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
9.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5315	1109

prune179.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	94	9	103

Merged error: 0.0b

Counts

103 → 9

localize10.0ms

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

series38.0ms

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

simplify64.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4959	1786
1	4959	1786

prune240.0ms

Filtered

103 candidates to 143 candidates (-38.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	142	1	143
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	142	10	152

Merged error: 0b

Counts

152 → 10

localize10.0ms

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

rewrite34.0ms

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

series39.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5815	1359

prune184.0ms

Filtered

80 candidates to 116 candidates (-45.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	116	10	126

Merged error: 0b

Counts

126 → 10

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

4.0ms	(* 3.0 (sin x))
9.0ms	(* (* (sin (* x 0.5)) 8.0) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
6.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(* 3.0 (sin x))
12.0ms	(* (* (sin (* x 0.5)) 8.0) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
9.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4980	849
1	4980	849

prune96.0ms

Filtered

51 candidates to 79 candidates (-54.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	79	10	89

Merged error: 0b

Counts

89 → 10

regimes54.0ms

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

analyze779.0ms

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

sample2.6s

Algorithm

intervals

Results

1.1s	1564×	body	1280	valid
603.0ms	4220×	body	80	valid
545.0ms	1287×	body	640	valid
191.0ms	631×	body	320	valid
59.0ms	298×	body	160	valid

Details

analyze787.0ms

sample72.0ms

simplify4.0ms

prune12.0ms

localize11.0ms

rewrite31.0ms

series35.0ms

simplify48.0ms

prune179.0ms

localize10.0ms

rewrite33.0ms

series38.0ms

simplify64.0ms

prune240.0ms

localize10.0ms

rewrite34.0ms

series39.0ms

simplify53.0ms

prune184.0ms

localize10.0ms

rewrite21.0ms

series24.0ms

simplify56.0ms

prune96.0ms

regimes54.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze779.0ms

sample2.6s

Profiling