Details

sample915.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

549.0ms	2266×	body	80	invalid
60.0ms	256×	body	80	valid

simplify48.0ms

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: 29.1b

Counts

2 → 1

localize66.0ms

Local error

Found 4 expressions with local error:

8.8b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite43.0ms

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:

15.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series249.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
48.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
87.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
62.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune514.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	114	18	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	115	18	133

Merged error: 18.1b

Counts

133 → 18

localize73.0ms

Local error

Found 4 expressions with local error:

8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.9b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite41.0ms

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

series193.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify104.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	829	1572
1	4030	1452
2	5002	1452

prune339.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	132	18	150

Merged error: 18.1b

Counts

150 → 18

localize84.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite49.0ms

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:

14.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
14.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
47.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
48.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify87.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	558	1572
1	2704	1452
2	5003	1452

prune337.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	132	18	150

Merged error: 18.1b

Counts

150 → 18

localize67.0ms

Local error

Found 4 expressions with local error:

9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite41.0ms

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:

13.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify82.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	558	1572
1	2704	1452
2	5003	1452

prune169.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	15	15
Picked	1	0	1
Done	0	2	2
Total	131	19	150

Merged error: 18.1b

Counts

150 → 19

regimes6.0s

Accuracy

-13.5% (9.8b remaining)

Error of 28.4b against oracle of 18.6b and baseline of 27.2b

bsearch712.0ms

Steps

Iters	Range		Point
8	2.795990636505562e-175	1.7688172297741703e-172	1.2621982941617119e-172
7	-5.184000505897728e-200	-1.4819798935574936e-201	-3.0209515561888596e-200

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	178	153
1	180	153
2	180	153

end0.0ms

sample24.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

14.9s	65833×	body	80	invalid
1.8s	8000×	body	80	valid

Details

sample915.0ms

simplify48.0ms

prune11.0ms

localize66.0ms

rewrite43.0ms

series249.0ms

simplify44.0ms

prune514.0ms

localize73.0ms

rewrite41.0ms

series193.0ms

simplify104.0ms

prune339.0ms

localize84.0ms

rewrite49.0ms

series197.0ms

simplify87.0ms

prune337.0ms

localize67.0ms

rewrite41.0ms

series199.0ms

simplify82.0ms

prune169.0ms

regimes6.0s

bsearch712.0ms

simplify4.0ms

end0.0ms

sample24.7s

Profiling