Details

sample1.1s

Algorithm

intervals

Results

630.0ms

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

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

localize75.0ms

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)))

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 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)))
10.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
58.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
65.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
60.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify41.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune621.0ms

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

localize77.0ms

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)))

rewrite85.0ms

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:

18.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
16.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
27.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
16.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series289.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
67.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
67.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
94.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify61.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1076	1572
1	5002	1484

prune546.0ms

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

localize103.0ms

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)))
11.2b	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
11.7b	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

rewrite53.0ms

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	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
17.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
8.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
8.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
68.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
52.0ms	(* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))
66.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1080	1572
1	5002	1484

prune651.0ms

Filtered

132 candidates to 100 candidates (24.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	122	10	132
Fresh	0	20	20
Picked	1	0	1
Done	0	0	0
Total	123	30	153

Merged error: 20.1b

Counts

153 → 30

localize70.0ms

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)))

rewrite57.0ms

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	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
19.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
15.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
11.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

series237.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))
51.0ms	(* (- (* x y) (* z t)) (- (* a b) (* c i)))
53.0ms	(* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))
64.0ms	(* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1077	1572
1	5002	1484

prune320.0ms

Filtered

132 candidates to 100 candidates (24.2%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	129	3	132
Fresh	2	27	29
Picked	1	0	1
Done	0	0	0
Total	132	30	162

Merged error: 20.1b

Counts

162 → 30

regimes9.4s

Accuracy

-38.9% (15.1b remaining)

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

bsearch2.3s

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

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	171	279
1	175	279
2	175	279

end0.0ms

sample38.8s

Algorithm

intervals

Results

23.1s

72715×

body

valid

Details

sample1.1s

simplify44.0ms

prune10.0ms

localize75.0ms

rewrite38.0ms

series233.0ms

simplify41.0ms

prune621.0ms

localize77.0ms

rewrite85.0ms

series289.0ms

simplify61.0ms

prune546.0ms

localize103.0ms

rewrite53.0ms

series255.0ms

simplify51.0ms

prune651.0ms

localize70.0ms

rewrite57.0ms

series237.0ms

simplify56.0ms

prune320.0ms

regimes9.4s

bsearch2.3s

simplify8.0ms

end0.0ms

sample38.8s

Profiling