Details

sample881.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

606.0ms

2522×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 29.1b

Counts

2 → 1

localize63.0ms

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)))

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 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)))

series201.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
48.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
53.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1081	1572
1	5001	1484

prune417.0ms

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

localize71.0ms

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)))

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 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)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
51.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
53.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify110.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (20.0ms)

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

prune334.0ms

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

localize71.0ms

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)))

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

series204.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
53.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify81.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

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

prune328.0ms

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

localize72.0ms

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)))

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	(* (- (* 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)))

series203.0ms

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)))
54.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify80.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (14.0ms)

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

prune167.0ms

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

regimes5.8s

Accuracy

-13.5% (9.8b remaining)

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

bsearch725.0ms

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

sample25.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 100%

Results

17.8s

73833×

body

valid

Details

sample881.0ms

simplify43.0ms

prune10.0ms

localize63.0ms

rewrite35.0ms

series201.0ms

simplify42.0ms

prune417.0ms

localize71.0ms

rewrite35.0ms

series204.0ms

simplify110.0ms

prune334.0ms

localize71.0ms

rewrite36.0ms

series204.0ms

simplify81.0ms

prune328.0ms

localize72.0ms

rewrite36.0ms

series203.0ms

simplify80.0ms

prune167.0ms

regimes5.8s

bsearch725.0ms

simplify4.0ms

end0.0ms

sample25.6s

Profiling