Details

sample8.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 66.40625%

Guaranteed chance to sample good point: 0%

Results

473.0ms	1990×	body	80	invalid
61.0ms	256×	body	80	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	132	47
1	350	47
2	1758	47
3	5001	47

prune11.0ms

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: 27.5b

Counts

2 → 1

localize65.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

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

series196.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
49.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
47.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
52.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1080	1572
1	5002	1484

prune450.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	112	20	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	20	133

Merged error: 17.9b

Counts

133 → 20

localize65.0ms

Local error

Found 4 expressions with local error:

9.6b	(* (- (* x j) (* z k)) (* y0 b))
9.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.7b	(* (- (* x j) (* z k)) (neg (* y1 i)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-*l/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

12.0ms	(* (- (* x j) (* z k)) (* y0 b))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
7.0ms	(* (- (* x j) (* z k)) (neg (* y1 i)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (- (* x j) (* z k)) (* y0 b))
47.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
49.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
27.0ms	(* (- (* x j) (* z k)) (neg (* y1 i)))

simplify117.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	820	1157
1	4000	1040
2	5001	1040

prune357.0ms

Filtered

83 candidates to 116 candidates (-39.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	112	4	116
Fresh	2	17	19
Picked	1	0	1
Done	0	0	0
Total	115	21	136

Merged error: 16.7b

Counts

136 → 21

localize69.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

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

series196.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
47.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
49.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
51.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1080	1572
1	5002	1484

prune382.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	132	21	153

Merged error: 16.7b

Counts

153 → 21

localize72.0ms

Local error

Found 4 expressions with local error:

7.3b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.6b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.6b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

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×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
4×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

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

series194.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
49.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
46.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
50.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5002	1484

prune181.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	127	5	132
Fresh	0	19	19
Picked	1	0	1
Done	0	1	1
Total	128	25	153

Merged error: 15.0b

Counts

153 → 25

regimes7.0s

Accuracy

-13.3% (12.6b remaining)

Error of 28.4b against oracle of 15.8b and baseline of 27.0b

bsearch1.3s

Steps

Iters	Range		Point
10	3.4305340887740664e-84	1.9457583401318194e-72	4.3324558378867446e-77
10	3.3026111715355807e-161	5.422567381212683e-148	3.886923152975472e-161
5	2.070406297777835e-262	4.4057869870227465e-262	2.0923247322777637e-262
6	-1.7025843692748761e-277	-2.9984132072218905e-278	-8.440687904564892e-278

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	217	256
1	230	256
2	231	256
3	231	256

end0.0ms

sample34.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 66.40625%

Guaranteed chance to sample good point: 0%

Results

16.8s	65295×	body	80	invalid
1.9s	8000×	body	80	valid

Details

sample8.1s

simplify52.0ms

prune11.0ms

localize65.0ms

rewrite35.0ms

series196.0ms

simplify44.0ms

prune450.0ms

localize65.0ms

rewrite37.0ms

series150.0ms

simplify117.0ms

prune357.0ms

localize69.0ms

rewrite36.0ms

series196.0ms

simplify44.0ms

prune382.0ms

localize72.0ms

rewrite36.0ms

series194.0ms

simplify44.0ms

prune181.0ms

regimes7.0s

bsearch1.3s

simplify6.0ms

end0.0ms

sample34.8s

Profiling