Details

sample16.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

456.0ms	1942×	body	80	invalid
56.0ms	256×	body	80	valid

simplify46.0ms

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: 28.3b

Counts

2 → 1

localize68.0ms

Local error

Found 4 expressions with local error:

8.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
12.2b	(* (- (* 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 y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
52.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
57.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune437.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	113	19	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	114	19	133

Merged error: 17.7b

Counts

133 → 19

localize81.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt (- (* t j) (* y k)))
9.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
12.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt (- (* t j) (* y k)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series191.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (* t j) (* y k)))
48.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
50.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
54.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify117.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	983	1327
1	4492	1228
2	5002	1224

prune365.0ms

Filtered

87 candidates to 115 candidates (-32.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	114	20	134

Merged error: 17.7b

Counts

134 → 20

localize75.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (- (* a b) (* c i)))
8.6b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.2b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt (- (* a b) (* c i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt (- (* a b) (* c i)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
54.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify117.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	986	1327
1	4488	1228
2	5003	1224

prune355.0ms

Filtered

87 candidates to 115 candidates (-32.2%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	18	19
Picked	1	0	1
Done	0	0	0
Total	116	19	135

Merged error: 17.7b

Counts

135 → 19

localize75.0ms

Local error

Found 4 expressions with local error:

10.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.3b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
12.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite37.0ms

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify85.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	553	1572
1	2702	1452
2	5002	1452

prune173.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	132	19	151

Merged error: 17.7b

Counts

151 → 19

regimes5.6s

Accuracy

-4% (9.1b remaining)

Error of 27.7b against oracle of 18.5b and baseline of 27.3b

bsearch919.0ms

Steps

Iters	Range		Point
8	-2.3848953334253804e-241	-1.8950208491363917e-245	-2.3451911286705835e-241
10	-5832.121417466394	-5.363634792413437e-10	-7.075658595109787e-07

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	145	128
1	145	128

end0.0ms

sample41.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 0%

Results

14.7s	64816×	body	80	invalid
1.8s	8000×	body	80	valid

Details

sample16.4s

simplify46.0ms

prune11.0ms

localize68.0ms

rewrite36.0ms

series209.0ms

simplify41.0ms

prune437.0ms

localize81.0ms

rewrite32.0ms

series191.0ms

simplify117.0ms

prune365.0ms

localize75.0ms

rewrite31.0ms

series194.0ms

simplify117.0ms

prune355.0ms

localize75.0ms

rewrite37.0ms

series201.0ms

simplify85.0ms

prune173.0ms

regimes5.6s

bsearch919.0ms

simplify3.0ms

end0.0ms

sample41.3s

Profiling