Details

sample5.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 76.599121%

Results

469.0ms	1961×	body	80	invalid
58.0ms	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

prune13.0ms

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: 24.8b

Counts

2 → 1

localize61.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.6b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.1b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.6b	(* (- (* 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	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1079	1572
1	5002	1484

prune420.0ms

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: 17.1b

Counts

133 → 19

localize66.0ms

Local error

Found 4 expressions with local error:

7.1b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.6b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
10.1b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

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	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
14.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune441.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	126	6	132
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	128	23	151

Merged error: 14.8b

Counts

151 → 23

localize68.0ms

Local error

Found 4 expressions with local error:

8.8b	(cbrt (- (* y4 c) (* y5 a)))
8.8b	(cbrt (- (* y4 c) (* y5 a)))
8.8b	(cbrt (- (* y4 c) (* y5 a)))
10.1b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (- (* y4 c) (* y5 a)))
3.0ms	(cbrt (- (* y4 c) (* y5 a)))
3.0ms	(cbrt (- (* y4 c) (* y5 a)))
8.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

series161.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt (- (* y4 c) (* y5 a)))
38.0ms	(cbrt (- (* y4 c) (* y5 a)))
36.0ms	(cbrt (- (* y4 c) (* y5 a)))
52.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))

simplify55.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	454	837
1	1864	780
2	5002	768

prune360.0ms

Filtered

69 candidates to 81 candidates (-17.4%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	22	22
Picked	1	0	1
Done	0	0	0
Total	81	23	104

Merged error: 14.8b

Counts

104 → 23

localize66.0ms

Local error

Found 4 expressions with local error:

10.1b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.6b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.6b	(* (- (* 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	(* (- (* 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)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify82.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (13.0ms)

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

prune166.0ms

Filtered

96 candidates to 132 candidates (-37.5%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	22	22
Picked	0	1	1
Done	0	0	0
Total	132	23	155

Merged error: 14.8b

Counts

155 → 23

regimes6.5s

Accuracy

-10.9% (12.1b remaining)

Error of 28.7b against oracle of 16.6b and baseline of 27.5b

bsearch1.5s

Steps

Iters	Range		Point
9	6.2707668667849795e+32	3.751171430172436e+40	7.702816227670553e+33
8	-1.153184568237397e-207	-1.914587513375818e-210	-2.1830177384504105e-208
10	-89756694.60100402	-1.3632626556933826e-05	-8008302.771345208

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	202	215
1	202	215

end0.0ms

sample31.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 76.599121%

Results

14.9s	64701×	body	80	invalid
1.9s	8000×	body	80	valid

Details

sample5.9s

simplify44.0ms

prune13.0ms

localize61.0ms

rewrite35.0ms

series197.0ms

simplify42.0ms

prune420.0ms

localize66.0ms

rewrite41.0ms

series193.0ms

simplify39.0ms

prune441.0ms

localize68.0ms

rewrite19.0ms

series161.0ms

simplify55.0ms

prune360.0ms

localize66.0ms

rewrite36.0ms

series192.0ms

simplify82.0ms

prune166.0ms

regimes6.5s

bsearch1.5s

simplify4.0ms

end0.0ms

sample31.1s

Profiling