Details

sample554.0ms

Algorithm

intervals

Results

364.0ms

2231×

body

valid

simplify42.0ms

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

prune12.0ms

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: 25.6b

Counts

2 → 1

localize60.0ms

Local error

Found 4 expressions with local error:

7.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.5b	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite48.0ms

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:

14.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
9.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series690.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
159.0ms	(* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))
159.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
211.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify39.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1082	1572
1	5002	1484

prune2.0s

Filtered

132 candidates to 100 candidates (75.8%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	109	23	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	23	133

Merged error: 14.5b

Counts

133 → 23

localize59.0ms

Local error

Found 4 expressions with local error:

8.6b	(* (- (* x y2) (* z y3)) (* y0 c))
8.8b	(* (- (* x y2) (* z y3)) (- (* y1 a)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-*l/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

7.0ms	(* (- (* x y2) (* z y3)) (* y0 c))
7.0ms	(* (- (* x y2) (* z y3)) (- (* y1 a)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- (* x y2) (* z y3)) (* y0 c))
97.0ms	(* (- (* x y2) (* z y3)) (- (* y1 a)))
168.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
165.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify102.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	826	1155
1	3997	1038
2	5002	1038

prune1.6s

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	105	11	116
Fresh	11	11	22
Picked	1	0	1
Done	0	0	0
Total	117	22	139

Merged error: 14.2b

Counts

139 → 22

localize68.0ms

Local error

Found 4 expressions with local error:

7.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.6b	(* (- (* x y2) (* z y3)) (* y0 c))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
10.0b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

rewrite35.0ms

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

Counts

4 → 110

Calls

4 calls:

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

series592.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
95.0ms	(* (- (* x y2) (* z y3)) (* y0 c))
166.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
167.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))

simplify117.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	973	1344
1	4618	1219
2	5003	1219

prune1.8s

Filtered

122 candidates to 86 candidates (70.5%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	6	15	21
Picked	1	0	1
Done	0	0	0
Total	122	22	144

Merged error: 13.7b

Counts

144 → 22

localize70.0ms

Local error

Found 4 expressions with local error:

7.9b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.6b	(* (- (* x y2) (* z y3)) (* y0 c))
8.8b	(* (- (* x y2) (* z y3)) (- (* y1 a)))
9.2b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`flip3--` `flip--`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-*l/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`unswap-sqr`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

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

series525.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
97.0ms	(* (- (* x y2) (* z y3)) (* y0 c))
94.0ms	(* (- (* x y2) (* z y3)) (- (* y1 a)))
166.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))

simplify105.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	826	1155
1	4010	1038
2	5001	1038

prune1.6s

Filtered

116 candidates to 83 candidates (71.6%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	20	21
Picked	0	1	1
Done	0	0	0
Total	116	22	138

Merged error: 13.7b

Counts

138 → 22

regimes6.2s

Accuracy

-14.9% (10.5b remaining)

Error of 27.7b against oracle of 17.2b and baseline of 26.4b

bsearch1.4s

Steps

Iters	Range		Point
9	5.843553487407645e-84	1.2573881425381641e-77	3.32514222871703e-80
7	1.1259941949926275e-308	9.129611979818682e-307	1.678244848327017e-308
4	-2.3994483710032628e-51	-1.5267568572063058e-51	-2.3176335415847983e-51

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	179	216
1	191	216
2	197	216
3	197	216

end0.0ms

sample17.5s

Algorithm

intervals

Results

12.0s

71468×

body

valid