Details

sample855.0ms

Algorithm

intervals

Results

496.0ms

2339×

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

prune10.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 29.1b

Counts

2 → 1

localize62.0ms

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)))

rewrite40.0ms

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:

13.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* 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)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
215.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
46.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify42.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune478.0ms

Filtered

132 candidates to 100 candidates (24.2%)

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

localize74.0ms

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)))

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×	`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)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
47.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
50.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
53.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune401.0ms

Filtered

132 candidates to 100 candidates (24.2%)

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

localize73.0ms

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)))

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 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)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
47.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
50.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify39.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1077	1572
1	5002	1484

prune488.0ms

Filtered

132 candidates to 100 candidates (24.2%)

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

localize74.0ms

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)))

rewrite37.0ms

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	(* (- (* 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)))

series205.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
49.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
51.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
53.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify44.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1078	1572
1	5001	1484

prune172.0ms

Filtered

132 candidates to 100 candidates (24.2%)

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

regimes7.6s

Accuracy

-39% (15.1b remaining)

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

bsearch1.5s

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

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample26.8s

Algorithm

intervals

Results

15.9s

72715×

body

valid

Details

sample855.0ms

simplify42.0ms

prune10.0ms

localize62.0ms

rewrite40.0ms

series362.0ms

simplify42.0ms

prune478.0ms

localize74.0ms

rewrite36.0ms

series199.0ms

simplify41.0ms

prune401.0ms

localize73.0ms

rewrite35.0ms

series197.0ms

simplify39.0ms

prune488.0ms

localize74.0ms

rewrite37.0ms

series205.0ms

simplify44.0ms

prune172.0ms

regimes7.6s

bsearch1.5s

simplify6.0ms

end0.0ms

sample26.8s

Profiling