Details

analyze5.0s

Algorithm

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

sample965.0ms

Algorithm

intervals

Results

475.0ms	2029×	body	80	invalid
286.0ms	256×	body	80	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	1243	95
1	1243	95

prune20.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 25.8b

Counts

2 → 1

localize65.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
50.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
52.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5087	2780

prune474.0ms

Filtered

105 candidates to 124 candidates (-18.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	102	22	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	22	125

Merged error: 16.9b

Counts

125 → 22

localize68.0ms

Local error

Found 4 expressions with local error:

7.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
7.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
47.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
53.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5095	2780

prune475.0ms

Filtered

105 candidates to 124 candidates (-18.1%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	113	11	124
Fresh	5	16	21
Picked	1	0	1
Done	0	0	0
Total	119	27	146

Merged error: 14.1b

Counts

146 → 27

localize69.0ms

Local error

Found 4 expressions with local error:

7.5b	(* (- (* y2 x) (* y3 z)) (- (* y0 c) (* y1 a)))
7.5b	(* (- (* y2 x) (* y3 z)) (- (* y0 c) (* y1 a)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (- (* y2 x) (* y3 z)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* y2 x) (* y3 z)) (- (* y0 c) (* y1 a)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* y2 x) (* y3 z)) (- (* y0 c) (* y1 a)))
49.0ms	(* (- (* y2 x) (* y3 z)) (- (* y0 c) (* y1 a)))
47.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5313	2788

prune436.0ms

Filtered

99 candidates to 124 candidates (-25.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	3	23	26
Picked	1	0	1
Done	0	0	0
Total	126	25	151

Merged error: 14.1b

Counts

151 → 25

localize80.0ms

Local error

Found 4 expressions with local error:

7.0b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
7.4b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.4b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`flip3--` `flip--`
20×	`add-sqr-sqrt`
16×	`frac-times`
12×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
8×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
48.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5102	2776

prune193.0ms

Filtered

105 candidates to 124 candidates (-18.1%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	120	29	149

Merged error: 12.2b

Counts

149 → 29

regimes7.8s

Accuracy

2.7% (15.4b remaining)

Error of 27.4b against oracle of 12.0b and baseline of 27.9b

bsearch57.9s

Steps

Iters	Range		Point
8	6.843163565837762e-37	1.90383970319666e-33	8.008407513824311e-37
6	9.174817796309925e-220	1.274428115402411e-218	1.1505342232125706e-219
8	-2.436565249279489e-138	-4.02864316254455e-141	-5.096778559015621e-140

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	234	480
1	234	480

end0.0ms

analyze5.3s

Algorithm

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

sample22.0s

Algorithm

intervals

Results

14.6s	64095×	body	80	invalid
1.8s	8000×	body	80	valid

Details

analyze5.0s

sample965.0ms

simplify20.0ms

prune20.0ms

localize65.0ms

rewrite35.0ms

series200.0ms

simplify39.0ms

prune474.0ms

localize68.0ms

rewrite35.0ms

series199.0ms

simplify40.0ms

prune475.0ms

localize69.0ms

rewrite36.0ms

series193.0ms

simplify38.0ms

prune436.0ms

localize80.0ms

rewrite34.0ms

series196.0ms

simplify41.0ms

prune193.0ms

regimes7.8s

bsearch57.9s

simplify3.0ms

end0.0ms

analyze5.3s

sample22.0s

Profiling