Details

sample17.2s

Algorithm

intervals

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 0%

Results

527.0ms	2247×	body	80	invalid
60.0ms	256×	body	80	valid

simplify44.0ms

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

prune10.0ms

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: 25.3b

Counts

2 → 1

localize68.0ms

Local error

Found 4 expressions with local error:

8.8b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.3b	(* (- (* 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×	`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	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
49.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
52.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune435.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	111	21	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	21	133

Merged error: 17.0b

Counts

133 → 21

localize68.0ms

Local error

Found 4 expressions with local error:

8.8b	(* (- (* t y2) (* y y3)) (neg (* y5 a)))
9.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* t y2) (* y y3)) (* y4 c))
10.3b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite32.0ms

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:

6.0ms	(* (- (* t y2) (* y y3)) (neg (* y5 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
6.0ms	(* (- (* t y2) (* y y3)) (* y4 c))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (- (* t y2) (* y y3)) (neg (* y5 a)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
26.0ms	(* (- (* t y2) (* y y3)) (* y4 c))
51.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify106.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	811	1157
1	3974	1036
2	5002	1036

prune333.0ms

Filtered

83 candidates to 116 candidates (-39.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	117	20	137

Merged error: 17.0b

Counts

137 → 20

localize66.0ms

Local error

Found 4 expressions with local error:

9.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.3b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
10.4b	(* (- (* x y) (* z t)) (* a b))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 110

Calls

4 calls:

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

series175.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
47.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
27.0ms	(* (- (* x y) (* z t)) (* a b))

simplify119.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	970	1344
1	4623	1219
2	5001	1219

prune346.0ms

Filtered

86 candidates to 122 candidates (-41.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	122	20	142

Merged error: 16.9b

Counts

142 → 20

localize69.0ms

Local error

Found 4 expressions with local error:

9.2b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
12.3b	(* (- (* k y2) (* j y3)) (* y4 y1))
12.3b	(* (- (* k y2) (* j y3)) (neg (* y5 y0)))

rewrite33.0ms

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:

8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
7.0ms	(* (- (* k y2) (* j y3)) (* y4 y1))
7.0ms	(* (- (* k y2) (* j y3)) (neg (* y5 y0)))

series157.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
51.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
26.0ms	(* (- (* k y2) (* j y3)) (* y4 y1))
33.0ms	(* (- (* k y2) (* j y3)) (neg (* y5 y0)))

simplify106.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	812	1157
1	3988	1040
2	5002	1040

prune144.0ms

Filtered

84 candidates to 116 candidates (-38.1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	19	19
Picked	1	0	1
Done	0	0	0
Total	115	21	136

Merged error: 16.6b

Counts

136 → 21

regimes5.9s

bsearch675.0ms

Steps

Iters	Range		Point
9	4.340890152521101e-293	4.781533368488218e-286	2.5762761902585784e-291
5	-1.679094164479652e-174	-4.6910722697321706e-175	-7.321090634978826e-175

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	96
1	134	96
2	135	96
3	135	96

end0.0ms

sample20.7s

Algorithm

intervals

sampling

Space saved by range analysis: 100%

Space saved by search: 100%

Guaranteed chance to sample good point: 0%

Results

2.7s	11523×	body	80	invalid
345.0ms	1396×	body	80	valid

Details

sample17.2s

simplify44.0ms

prune10.0ms

localize68.0ms

rewrite35.0ms

series198.0ms

simplify40.0ms

prune435.0ms

localize68.0ms

rewrite32.0ms

series156.0ms

simplify106.0ms

prune333.0ms

localize66.0ms

rewrite40.0ms

series175.0ms

simplify119.0ms

prune346.0ms

localize69.0ms

rewrite33.0ms

series157.0ms

simplify106.0ms

prune144.0ms

regimes5.9s

bsearch675.0ms

simplify4.0ms

end0.0ms

sample20.7s

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