Details

analyze5.1s

Algorithm

Search

True	Other	False	Iter
0%	99.2%	0.8%	0
0%	99.2%	0.8%	1
0%	99.2%	0.8%	2
0%	99.2%	0.8%	3
0%	99.2%	0.8%	4
0%	99.2%	0.8%	5
0%	99.2%	0.8%	6
0%	99.2%	0.8%	7
0%	99.2%	0.8%	8
0%	99.2%	0.8%	9
0%	99.2%	0.8%	10
0%	99.2%	0.8%	11
0%	99.2%	0.8%	12
0%	99.2%	0.8%	13
0%	99.2%	0.8%	14

sample724.0ms

Algorithm

intervals

Results

466.0ms	2019×	body	80	invalid
56.0ms	256×	body	80	valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5427	95

prune23.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 25.3b

Counts

2 → 1

localize65.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
7.9b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 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×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
52.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
52.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
56.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

simplify44.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5004	2800

prune444.0ms

Filtered

102 candidates to 124 candidates (-21.6%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	105	19	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	19	125

Merged error: 14.9b

Counts

125 → 19

localize66.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
7.9b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.8b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

rewrite45.0ms

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×	`sub-neg` `associate-r/` `associate-l/`
4×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

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

series207.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5012	2796

prune406.0ms

Filtered

99 candidates to 124 candidates (-25.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	2	16	18
Picked	1	0	1
Done	0	0	0
Total	121	22	143

Merged error: 12.9b

Counts

143 → 22

localize65.0ms

Local error

Found 4 expressions with local error:

7.9b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.4b	(* (- (* t j) (* y k)) (* y5 (neg i)))
9.9b	(* (- (* t j) (* y k)) (* y4 b))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt` `flip3--` `flip--`
12×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
4×	`sub-neg` `associate-r/` `-commutative` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `distribute-rgt-neg-out` `unswap-sqr`

Counts

4 → 97

Calls

4 calls:

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

series161.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
32.0ms	(* (- (* t j) (* y k)) (* y5 (neg i)))
27.0ms	(* (- (* t j) (* y k)) (* y4 b))

simplify34.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5258	1988

prune352.0ms

Filtered

82 candidates to 109 candidates (-32.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	110	21	131

Merged error: 12.4b

Counts

131 → 21

localize62.0ms

Local error

Found 4 expressions with local error:

7.8b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
7.9b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
8.3b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.4b	(* (- (* t j) (* y k)) (* y5 (neg i)))

rewrite48.0ms

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×	`sub-neg` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`*-commutative` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `unswap-sqr`
2×	`distribute-rgt-neg-out`

Counts

4 → 105

Calls

4 calls:

9.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
16.0ms	(* (- (* t j) (* y k)) (* y5 (neg i)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
50.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
52.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
29.0ms	(* (- (* t j) (* y k)) (* y5 (neg i)))

simplify52.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5106	2409

prune168.0ms

Filtered

96 candidates to 117 candidates (-21.9%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	114	3	117
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	118	20	138

Merged error: 12.2b

Counts

138 → 20

regimes5.9s

Accuracy

-1.9% (13.7b remaining)

Error of 28.0b against oracle of 14.2b and baseline of 27.7b

bsearch2.0s

Steps

Iters	Range		Point
10	1.9278765081853772e+82	5.8477007670752886e+100	8.390501765440556e+95
7	1.6819528286259766e-87	2.5625111064724113e-85	1.4388562203440466e-86
9	5.192063812112696e-215	2.165584740282792e-208	4.193679490867568e-213
7	-6.754368544903563e-127	-3.5629013472573724e-129	-1.3166900170414862e-127
10	-7.222310195137567e+81	-5.349895403999245e+66	-2.1818467664147247e+72

simplify104.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	3358	654
1	3358	654

end0.0ms

sample21.9s

Algorithm

intervals

Results

14.5s	64369×	body	80	invalid
1.8s	8000×	body	80	valid

Details

analyze5.1s

sample724.0ms

simplify29.0ms

prune23.0ms

localize65.0ms

rewrite41.0ms

series213.0ms

simplify44.0ms

prune444.0ms

localize66.0ms

rewrite45.0ms

series207.0ms

simplify42.0ms

prune406.0ms

localize65.0ms

rewrite36.0ms

series161.0ms

simplify34.0ms

prune352.0ms

localize62.0ms

rewrite48.0ms

series183.0ms

simplify52.0ms

prune168.0ms

regimes5.9s

bsearch2.0s

simplify104.0ms

end0.0ms

sample21.9s

Profiling