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

sample93.0ms

Algorithm

intervals

Results

31.0ms	57×	body	1280	valid
13.0ms	38×	body	640	valid
11.0ms	136×	body	80	valid
7.0ms	9×	body	2560	valid
7.0ms	87×	body	80	nan
3.0ms	12×	body	320	valid
3.0ms	36×	body	80	invalid
1.0ms	4×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	19
1	44	19

prune15.0ms

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: 18.7b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.3b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.7b	(cos (- y (/ (* z t) 3.0)))

rewrite23.0ms

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:

5.0ms	(/ (* z t) 3.0)
4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
7.0ms	(cos (- y (/ (* z t) 3.0)))

series45.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
29.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms	(cos (- y (/ (* z t) 3.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5284	789

prune260.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	60	23	83
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	23	85

Merged error: 15.6b

Counts

85 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (* t (/ z 3.0))))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* t (/ z 3.0)))) (* (sin y) (sin (* t (/ z 3.0))))))
25.8b	(sin (* t (/ z 3.0)))
26.2b	(cos (* t (/ z 3.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/`
2×	`*-commutative` `sin-mult`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `cos-mult` `flip-+` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

5.0ms	(* (sin y) (sin (* t (/ z 3.0))))
11.0ms	(* (* 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)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* (sin y) (sin (* t (/ z 3.0))))
59.0ms	(* (* 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)))
3.0ms	(cos (* t (/ z 3.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5373	1093

prune306.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	4	18	22
Picked	1	0	1
Done	0	0	0
Total	63	28	91

Merged error: 14.6b

Counts

91 → 28

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* t (/ z 3.0))
0.2b	(/ a (* b 3.0))
0.2b	(* (sin y) (sin (* t (/ z 3.0))))
25.8b	(sin (* t (/ z 3.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

8.0ms	(* t (/ z 3.0))
4.0ms	(/ a (* b 3.0))
5.0ms	(* (sin y) (sin (* t (/ z 3.0))))
2.0ms	(sin (* t (/ z 3.0)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* t (/ z 3.0))
3.0ms	(/ a (* b 3.0))
11.0ms	(* (sin y) (sin (* t (/ z 3.0))))
4.0ms	(sin (* t (/ z 3.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4966	686
1	4966	686

prune334.0ms

Filtered

67 candidates to 91 candidates (-35.8%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	82	9	91
Fresh	2	25	27
Picked	1	0	1
Done	0	0	0
Total	85	34	119

Merged error: 14.0b

Counts

119 → 34

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0)) (/ a (* b 3.0)))
0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0))
0.2b	(/ a (* b 3.0))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`associate-*r/` `prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `associate--l+` `frac-sub` `flip-+`
1×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `associate-l` `clear-num` `associate-/r` `-commutative` `flip--` `div-inv`

Counts

3 → 58

Calls

3 calls:

9.0ms	(- (* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0)) (/ a (* b 3.0)))
8.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0))
4.0ms	(/ a (* b 3.0))

series59.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- (* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0)) (/ a (* b 3.0)))
15.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) 1) 0))
3.0ms	(/ a (* b 3.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4843	727
1	4843	727

prune103.0ms

Filtered

52 candidates to 67 candidates (-28.8%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	57	10	67
Fresh	9	24	33
Picked	1	0	1
Done	0	0	0
Total	67	34	101

Merged error: 14.0b

Counts

101 → 34

regimes4.4s

Accuracy

0% (2.3b remaining)

Error of 17.0b against oracle of 14.7b and baseline of 17.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

end0.0ms

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

sample2.6s

Algorithm

intervals

Results

789.0ms	1613×	body	1280	valid
357.0ms	4455×	body	80	valid
342.0ms	974×	body	640	valid
289.0ms	366×	body	2560	valid
190.0ms	2250×	body	80	nan
110.0ms	416×	body	320	valid
86.0ms	1105×	body	80	invalid
31.0ms	176×	body	160	valid

Details

analyze1.1s

sample93.0ms

simplify3.0ms

prune15.0ms

localize16.0ms

rewrite23.0ms

series45.0ms

simplify48.0ms

prune260.0ms

localize24.0ms

rewrite20.0ms

series80.0ms

simplify39.0ms

prune306.0ms

localize21.0ms

rewrite20.0ms

series21.0ms

simplify45.0ms

prune334.0ms

localize13.0ms

rewrite23.0ms

series59.0ms

simplify47.0ms

prune103.0ms

regimes4.4s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.1s

sample2.6s

Profiling