Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14

sample87.0ms

Algorithm

intervals

Results

28.0ms	59×	body	1280	valid
12.0ms	152×	body	80	valid
8.0ms	24×	body	640	valid
5.0ms	64×	body	80	nan
5.0ms	6×	body	2560	valid
3.0ms	11×	body	320	valid
3.0ms	34×	body	80	invalid
1.0ms	4×	body	160	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	796	19
1	796	19

prune16.0ms

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: 21.5b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ a (* b 3.0))
25.9b	(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `cos-sum` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 71

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms	(/ a (* b 3.0))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
34.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
11.0ms	(cos (- y (/ (* z t) 3.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4982	789
1	4982	789

prune278.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	59	24	83
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	61	24	85

Merged error: 17.1b

Counts

85 → 24

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* t (/ z 3.0)))) (* (sin y) (sin (* t (/ z 3.0))))))
29.3b	(sin (* t (/ z 3.0)))
29.7b	(cos (* t (/ z 3.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
10.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* t (/ z 3.0)))) (* (sin y) (sin (* t (/ z 3.0))))))
2.0ms	(sin (* t (/ z 3.0)))
2.0ms	(cos (* t (/ z 3.0)))

series75.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
64.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* t (/ z 3.0)))) (* (sin y) (sin (* t (/ z 3.0))))))
4.0ms	(sin (* t (/ z 3.0)))
4.0ms	(cos (* t (/ z 3.0)))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5015	1038

prune318.0ms

Filtered

54 candidates to 70 candidates (-29.6%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	5	18	23
Picked	1	0	1
Done	0	0	0
Total	65	29	94

Merged error: 15.8b

Counts

94 → 29

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* t (/ z 3.0)))) (* (sin y) (sin (* t (* z 0.3333333333333333))))))
29.7b	(cos (* t (/ z 3.0)))
29.8b	(sin (* t (* z 0.3333333333333333)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `associate-r/` `associate-r` `pow-prod-down` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `associate-l` `frac-add` `clear-num` `associate-/r` `cos-mult` `-commutative` `flip-+` `div-inv` `sin-mult`

Counts

4 → 58

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
11.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* t (/ z 3.0)))) (* (sin y) (sin (* t (* z 0.3333333333333333))))))
2.0ms	(cos (* t (/ z 3.0)))
3.0ms	(sin (* t (* z 0.3333333333333333)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
63.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* t (/ z 3.0)))) (* (sin y) (sin (* t (* z 0.3333333333333333))))))
3.0ms	(cos (* t (/ z 3.0)))
4.0ms	(sin (* t (* z 0.3333333333333333)))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4984	1038
1	4984	1038

prune310.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	2	26	28
Picked	1	0	1
Done	0	0	0
Total	69	30	99

Merged error: 15.7b

Counts

99 → 30

localize33.0ms

Local error

Found 4 expressions with local error:

29.7b	(cos (* t (/ z 3.0)))
29.8b	(sin (* t (* z 0.3333333333333333)))
29.8b	(sin (* t (* z 0.3333333333333333)))
29.8b	(sin (* t (* z 0.3333333333333333)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(cos (* t (/ z 3.0)))
3.0ms	(sin (* t (* z 0.3333333333333333)))
3.0ms	(sin (* t (* z 0.3333333333333333)))
3.0ms	(sin (* t (* z 0.3333333333333333)))

series16.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(cos (* t (/ z 3.0)))
4.0ms	(sin (* t (* z 0.3333333333333333)))
4.0ms	(sin (* t (* z 0.3333333333333333)))
4.0ms	(sin (* t (* z 0.3333333333333333)))

simplify119.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5076	296

prune120.0ms

Filtered

33 candidates to 40 candidates (-21.2%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	29	29
Picked	1	0	1
Done	0	0	0
Total	39	31	70

Merged error: 15.7b

Counts

70 → 31

regimes4.7s

Accuracy

46.9% (2.3b remaining)

Error of 17.7b against oracle of 15.4b and baseline of 19.7b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	110	107
1	110	107

end0.0ms

sample2.6s

Algorithm

intervals

Results

786.0ms	1636×	body	1280	valid
362.0ms	4452×	body	80	valid
318.0ms	901×	body	640	valid
263.0ms	345×	body	2560	valid
183.0ms	2240×	body	80	nan
114.0ms	435×	body	320	valid
93.0ms	1188×	body	80	invalid
41.0ms	231×	body	160	valid

Details

analyze1.1s

sample87.0ms

simplify36.0ms

prune16.0ms

localize17.0ms

rewrite22.0ms

series51.0ms

simplify44.0ms

prune278.0ms

localize25.0ms

rewrite19.0ms

series75.0ms

simplify37.0ms

prune318.0ms

localize27.0ms

rewrite21.0ms

series73.0ms

simplify37.0ms

prune310.0ms

localize33.0ms

rewrite11.0ms

series16.0ms

simplify119.0ms

prune120.0ms

regimes4.7s

bsearch2.0ms

simplify2.0ms

end0.0ms

sample2.6s

Profiling