Details

sample847.0ms

Algorithm

intervals

Results

485.0ms

2339×

body

valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	132	47
1	350	47
2	1758	47
3	5001	47

prune10.0ms

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: 29.1b

Counts

2 → 1

localize63.0ms

Local error

Found 4 expressions with local error:

9.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
11.2b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.7b	(* (- (* 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	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series227.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
65.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
47.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
52.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune451.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	111	21	132
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	21	133

Merged error: 20.7b

Counts

133 → 21

localize71.0ms

Local error

Found 4 expressions with local error:

9.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
11.2b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.7b	(* (- (* 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	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
7.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
48.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
47.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune385.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	132	21	153

Merged error: 20.7b

Counts

153 → 21

localize67.0ms

Local error

Found 4 expressions with local error:

9.0b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.2b	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
11.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite44.0ms

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

series197.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
52.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
49.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1077	1572
1	5002	1484

prune491.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	122	10	132
Fresh	1	19	20
Picked	1	0	1
Done	0	0	0
Total	124	29	153

Merged error: 20.1b

Counts

153 → 29

localize67.0ms

Local error

Found 4 expressions with local error:

9.0b	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
9.5b	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
11.2b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.7b	(* (- (* 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	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
14.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
50.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
48.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify40.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune170.0ms

Filtered

100 candidates to 132 candidates (-32.0%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	1	27	28
Picked	1	0	1
Done	0	0	0
Total	132	29	161

Merged error: 20.1b

Counts

161 → 29

regimes7.7s

Accuracy

-39% (15.1b remaining)

Error of 31.2b against oracle of 16.1b and baseline of 26.9b

bsearch1.4s

Steps

Iters	Range		Point
9	8.408002462613205e-88	4.0375168460641083e-81	6.454300691308576e-87
10	-1.7098701188363934e-272	-2.0497597298815906e-283	-1.0846782449378857e-273
6	-1.1459139429243084e-181	-1.4261696421445703e-182	-6.220118277889557e-182
8	-3.09362985063354e-112	-3.5384074679756125e-116	-1.1414351760734861e-113

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	180	290
1	184	290
2	184	290

end0.0ms

sample26.0s

Algorithm

intervals

Results

15.2s

72715×

body

valid

Details

sample847.0ms

simplify44.0ms

prune10.0ms

localize63.0ms

rewrite35.0ms

series227.0ms

simplify40.0ms

prune451.0ms

localize71.0ms

rewrite35.0ms

series190.0ms

simplify40.0ms

prune385.0ms

localize67.0ms

rewrite44.0ms

series197.0ms

simplify41.0ms

prune491.0ms

localize67.0ms

rewrite41.0ms

series197.0ms

simplify40.0ms

prune170.0ms

regimes7.7s

bsearch1.4s

simplify5.0ms

end0.0ms

sample26.0s

Profiling