Details

sample614.0ms

Algorithm

intervals

Results

396.0ms

2346×

body

valid

simplify47.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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: 29.3b

Counts

2 → 1

localize69.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.1b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.3b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite38.0ms

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:

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

series667.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
166.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
166.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
168.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune2.0s

Filtered

132 candidates to 100 candidates (75.8%)

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: 17.3b

Counts

133 → 19

localize67.0ms

Local error

Found 4 expressions with local error:

8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.1b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.3b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

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:

9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
9.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
167.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
166.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
168.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune1.8s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	0	18	18
Picked	1	0	1
Done	0	0	0
Total	130	21	151

Merged error: 17.3b

Counts

151 → 21

localize70.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (- (* t y2) (* y y3)))
8.4b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.3b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

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

series618.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (- (* t y2) (* y y3)))
167.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
167.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
172.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify120.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	988	1323
1	4482	1224
2	5002	1218

prune1.6s

Filtered

115 candidates to 87 candidates (75.7%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	20	20
Picked	0	1	1
Done	0	0	0
Total	114	22	136

Merged error: 17.3b

Counts

136 → 22

localize74.0ms

Local error

Found 4 expressions with local error:

7.7b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
8.5b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
10.1b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
10.3b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

rewrite38.0ms

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

series680.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
170.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
170.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))
169.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1079	1572
1	5002	1484

prune1.6s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	125	7	132
Fresh	0	20	20
Picked	1	0	1
Done	0	1	1
Total	126	28	154

Merged error: 13.6b

Counts

154 → 28

regimes7.9s

Accuracy

-23.4% (14.4b remaining)

Error of 29.7b against oracle of 15.3b and baseline of 27.0b

bsearch4.8s

Steps

Iters	Range		Point
9	1.4538413773078094e+156	5.111324413795689e+162	3.0721892713831166e+159
11	4.114244499577038e+68	2.7209634263505e+91	1.1776873781911673e+86
7	3.942908234030652e-63	3.728651840168466e-61	4.039609163513908e-62
7	4.3907384329120433e-243	3.633367953964638e-241	4.187276528621237e-242
8	2.3407150157956997e-263	4.893888859085004e-259	8.535271467600823e-262
8	-3.383503931971068e-263	-2.1219253724164377e-266	-1.6540595938942003e-263
7	-4.953160375960076e-224	-1.9437720854159815e-226	-4.81816913385106e-224
10	-7.234538385022546e-138	-7.226563752394221e-148	-6.613665507528799e-142

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	252	442
1	264	442
2	264	442

end0.0ms

sample17.8s

Algorithm

intervals

Results

11.9s

71251×

body

valid