Details

analyze410.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample34.0ms

Algorithm

intervals

Results

14.0ms	243×	body	80	valid
1.0ms	26×	body	80	invalid
1.0ms	6×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	1280	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	18	4
1	34	3
2	52	3
3	60	3
4	60	3

prune19.0ms

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: 0.0b

Counts

2 → 2

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b	(+ (* d1 3.0) (* d1 d2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
6.0ms	(+ (* d1 3.0) (* d1 d2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
5.0ms	(+ (* d1 3.0) (* d1 d2))

simplify134.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	187	191
1	787	163
2	3595	151
3	5001	151

prune72.0ms

Filtered

23 candidates to 32 candidates (-39.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

15.0ms

(* d1 (+ (+ 3.0 d2) d3))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify106.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	120
1	720	103
2	3972	103
3	5002	103

prune37.0ms

Filtered

16 candidates to 27 candidates (-68.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
3.0b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
11.6b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
11.9b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate--l+` `associate-/r` `flip-+` `add-log-exp`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 115

Calls

4 calls:

14.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
15.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
22.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
29.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series79.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
7.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
20.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
51.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify94.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	538	973
1	2736	846
2	5002	842

prune230.0ms

Filtered

78 candidates to 127 candidates (-62.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* d1 (* 3.0 (+ 3.0 d2)))
3.0b	(- (* d2 (+ 3.0 d2)) (* d3 d3))
11.6b	(* d1 (- (* d2 (+ 3.0 d2)) (* d3 d3)))
11.9b	(/ (+ (* d1 (* 3.0 (+ 3.0 d2))) (* d1 (- (* d2 (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
24×	`times-frac`
19×	`add-cube-cbrt`
18×	`associate-*r/`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-lft-out`
11×	`pow1` `distribute-rgt-in` `distribute-lft-in`
10×	`distribute-lft-out--`
6×	`associate-l` `associate--l+` `associate-/r*` `associate-/l/` `add-log-exp`
5×	`flip3--` `flip--` `difference-of-squares`
4×	`flip3-+` `associate-r` `pow-prod-down` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l*`
3×	`sub-neg`
2×	`associate-/r/` `*-commutative`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

9.0ms	(* d1 (* 3.0 (+ 3.0 d2)))
6.0ms	(- (* d2 (+ 3.0 d2)) (* d3 d3))
9.0ms	(* d1 (- (* d2 (+ 3.0 d2)) (* d3 d3)))
18.0ms	(/ (+ (* d1 (* 3.0 (+ 3.0 d2))) (* d1 (- (* d2 (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))

series64.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* d1 (* 3.0 (+ 3.0 d2)))
6.0ms	(- (* d2 (+ 3.0 d2)) (* d3 d3))
18.0ms	(* d1 (- (* d2 (+ 3.0 d2)) (* d3 d3)))
34.0ms	(/ (+ (* d1 (* 3.0 (+ 3.0 d2))) (* d1 (- (* d2 (+ 3.0 d2)) (* d3 d3)))) (- (+ 3.0 d2) d3))

simplify112.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	583	1474
1	3157	1302
2	5002	1292

prune192.0ms

Filtered

87 candidates to 132 candidates (-51.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	132	4	136

Merged error: 0b

Counts

136 → 4

regimes190.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	14	5

end0.0ms

analyze365.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample636.0ms

Algorithm

intervals

Results

313.0ms	7472×	body	80	valid
34.0ms	215×	body	640	valid
27.0ms	674×	body	80	invalid
18.0ms	80×	body	1280	valid
16.0ms	147×	body	320	valid
7.0ms	86×	body	160	valid

Details

analyze410.0ms

sample34.0ms

simplify13.0ms

prune19.0ms

localize17.0ms

rewrite13.0ms

series13.0ms

simplify134.0ms

prune72.0ms

localize11.0ms

rewrite17.0ms

series8.0ms

simplify106.0ms

prune37.0ms

localize11.0ms

rewrite87.0ms

series79.0ms

simplify94.0ms

prune230.0ms

localize29.0ms

rewrite52.0ms

series64.0ms

simplify112.0ms

prune192.0ms

regimes190.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze365.0ms

sample636.0ms

Profiling