Details

analyze5.0s

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

sample677.0ms

Algorithm

intervals

Results

433.0ms	1917×	body	80	invalid
55.0ms	256×	body	80	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	1243	95
1	1243	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	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 25.5b

Counts

2 → 1

localize63.0ms

Local error

Found 4 expressions with local error:

8.8b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0b	(* (- (* t y2) (* y y3)) (- (* c y4) (* a y5)))
9.5b	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))
10.4b	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

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×	`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:

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify41.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5056	2780

prune491.0ms

Filtered

104 candidates to 124 candidates (-19.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	101	23	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	23	125

Merged error: 16.8b

Counts

125 → 23

localize70.0ms

Local error

Found 4 expressions with local error:

8.2b	(cbrt (- (* t j) (* y k)))
8.8b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.0b	(* (- (* t y2) (* y y3)) (- (* c y4) (* a y5)))
9.5b	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))

rewrite37.0ms

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×	`sub-neg` `associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 97

Calls

4 calls:

3.0ms	(cbrt (- (* t j) (* y k)))
14.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* c y4) (* a y5)))
8.0ms	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))

series207.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(cbrt (- (* t j) (* y k)))
49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
52.0ms	(* (- (* t y2) (* y y3)) (- (* c y4) (* a y5)))
67.0ms	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))

simplify38.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5814	2335

prune428.0ms

Filtered

90 candidates to 109 candidates (-21.1%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	107	25	132

Merged error: 16.5b

Counts

132 → 25

localize68.0ms

Local error

Found 4 expressions with local error:

8.8b	(* (- (* y x) (* t z)) (- (* b a) (* i c)))
9.0b	(* (- (* t y2) (* y y3)) (- (* c y4) (* a y5)))
9.5b	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))
10.4b	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

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×	`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:

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

series200.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- (* y x) (* t z)) (- (* b a) (* i c)))
50.0ms	(* (- (* t y2) (* y y3)) (- (* c y4) (* a y5)))
49.0ms	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))
51.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

simplify41.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5055	2780

prune428.0ms

Filtered

101 candidates to 124 candidates (-22.8%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	125	24	149

Merged error: 16.5b

Counts

149 → 24

localize72.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* x y2) (* z y3)) (- (* c y0) (* a y1)))
8.8b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))
10.4b	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

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×	`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:

8.0ms	(* (- (* x y2) (* z y3)) (- (* c y0) (* a y1)))
7.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))
16.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x y2) (* z y3)) (- (* c y0) (* a y1)))
50.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
51.0ms	(* (- (* x j) (* z k)) (- (* b y0) (* i y1)))
49.0ms	(* (- (* t j) (* y k)) (- (* b y4) (* i y5)))

simplify40.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5047	2784

prune201.0ms

Filtered

104 candidates to 124 candidates (-19.2%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	118	6	124
Fresh	0	23	23
Picked	1	0	1
Done	0	0	0
Total	119	29	148

Merged error: 13.6b

Counts

148 → 29

regimes7.6s

Accuracy

-8.9% (14.2b remaining)

Error of 28.1b against oracle of 13.9b and baseline of 26.9b

bsearch1.6min

Steps

Iters	Range		Point
8	1.2977002566493643e-18	3.2242562088863954e-15	2.2623785605501935e-17
7	7.599293109807792e-277	1.5370271983994045e-275	1.3122599467303404e-276
7	-1.3609422453215167e-275	-3.994691118822431e-277	-1.0579983913387514e-275
6	-9.163868591174059e-192	-2.128972822431853e-192	-7.902687899876368e-192
9	-3.858805929274206e+53	-9.320267149961353e+45	-1.8824878800108664e+49

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	248	661
1	248	661

end0.0ms

analyze4.8s

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

sample21.7s

Algorithm

intervals

Results

14.3s	64255×	body	80	invalid
1.8s	8000×	body	80	valid

Details

analyze5.0s

sample677.0ms

simplify20.0ms

prune23.0ms

localize63.0ms

rewrite43.0ms

series201.0ms

simplify41.0ms

prune491.0ms

localize70.0ms

rewrite37.0ms

series207.0ms

simplify38.0ms

prune428.0ms

localize68.0ms

rewrite36.0ms

series200.0ms

simplify41.0ms

prune428.0ms

localize72.0ms

rewrite43.0ms

series199.0ms

simplify40.0ms

prune201.0ms

regimes7.6s

bsearch1.6min

simplify5.0ms

end0.0ms

analyze4.8s

sample21.7s

Profiling