Details

analyze831.0ms

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

sample117.0ms

Algorithm

intervals

Results

29.0ms	44×	body	1280	valid
20.0ms	49×	body	640	valid
12.0ms	137×	body	80	valid
4.0ms	15×	body	320	valid
2.0ms	11×	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

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

localize14.0ms

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)))

rewrite23.0ms

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))
11.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* 3.0 (sin x))))
5.0ms	(/ (sin (* x 0.5)) (* 3.0 (sin x)))

series22.0ms

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))))
8.0ms	(/ (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

prune159.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	66	9	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	67	10	77

Merged error: 0b

Counts

77 → 10

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (sin (* x 0.5)) (sin x))
0.2b	(/ (sin (* x 0.5)) 3.0)
0.2b	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

rewrite22.0ms

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)) (sin x))
4.0ms	(/ (sin (* x 0.5)) 3.0)
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/ (sin (* x 0.5)) (sin x))
4.0ms	(/ (sin (* x 0.5)) 3.0)
11.0ms	(* (/ (sin (* x 0.5)) 3.0) (/ (sin (* x 0.5)) (sin x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4956	1386
1	4956	1386

prune224.0ms

Filtered

87 candidates to 113 candidates (-29.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Merged error: 0b

Counts

123 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0)))))
0.3b	(* (sqrt 3.0) (* (sin x) (sqrt 3.0)))
0.3b	(/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0))))
0.4b	(* (sin x) (sqrt 3.0))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0)))))
7.0ms	(* (sqrt 3.0) (* (sin x) (sqrt 3.0)))
9.0ms	(/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0))))
6.0ms	(* (sin x) (sqrt 3.0))

series51.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (sin (* x 0.5)) (/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0)))))
7.0ms	(* (sqrt 3.0) (* (sin x) (sqrt 3.0)))
17.0ms	(/ (sin (* x 0.5)) (* (sqrt 3.0) (* (sin x) (sqrt 3.0))))
5.0ms	(* (sin x) (sqrt 3.0))

simplify71.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4974	1025
1	4974	1025

prune187.0ms

Filtered

70 candidates to 107 candidates (-52.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	107	10	117

Merged error: 0b

Counts

117 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))
0.7b	(cbrt (sin (* x 0.5)))
0.7b	(cbrt (sin (* x 0.5)))
0.7b	(cbrt (sin (* x 0.5)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))
2.0ms	(cbrt (sin (* x 0.5)))
2.0ms	(cbrt (sin (* x 0.5)))
2.0ms	(cbrt (sin (* x 0.5)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (sin (* x 0.5))) (cbrt (sin (* x 0.5))))
20.0ms	(cbrt (sin (* x 0.5)))
19.0ms	(cbrt (sin (* x 0.5)))
22.0ms	(cbrt (sin (* x 0.5)))

simplify30.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4954	780
1	4954	780

prune207.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	85	10	95

Merged error: 0b

Counts

95 → 10

regimes131.0ms

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

sample3.2s

Algorithm

intervals

Results

994.0ms	1486×	body	1280	valid
541.0ms	1286×	body	640	valid
394.0ms	4292×	body	80	valid
172.0ms	609×	body	320	valid
70.0ms	327×	body	160	valid

Details

analyze831.0ms

sample117.0ms

simplify4.0ms

prune10.0ms

localize14.0ms

rewrite23.0ms

series22.0ms

simplify62.0ms

prune159.0ms

localize14.0ms

rewrite22.0ms

series24.0ms

simplify64.0ms

prune224.0ms

localize17.0ms

rewrite37.0ms

series51.0ms

simplify71.0ms

prune187.0ms

localize18.0ms

rewrite13.0ms

series85.0ms

simplify30.0ms

prune207.0ms

regimes131.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.2s

Profiling