Details

sample82.0ms

Algorithm

intervals

Results

46.0ms

614×

body

valid

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.4b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
6.2b	(* x (- (* y z) (* t a)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-commutative`
28×	`prod-diff`
18×	`distribute-rgt-in` `distribute-lft-in`
7×	`sub-neg`
6×	`associate-*r/`
4×	`flip3--` `flip--`
2×	`fma-neg`

Counts

4 → 55

Calls

4 calls:

4.0ms	(- (* y z) (* t a))
5.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (- (* y z) (* t a)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* y z) (* t a))
67.0ms	(* b (- (* c z) (* t i)))
68.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* x (- (* y z) (* t a)))

simplify69.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	318	383
1	880	373
2	2486	373
3	5001	313

prune187.0ms

Filtered

67 candidates to 28 candidates (41.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	56	11	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	11	68

Merged error: 8.6b

Counts

68 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
6.2b	(* x (fma z y (- (* t a))))
48.3b	(fma (- t) a (* t a))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-commutative`
16×	`prod-diff`
13×	`distribute-rgt-in` `distribute-lft-in`
4×	`sub-neg` `associate-*r/`
3×	`fma-udef`
2×	`flip3--` `flip--`

Counts

4 → 34

Calls

4 calls:

5.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* j (- (* c a) (* y i)))
2.0ms	(* x (fma z y (- (* t a))))
1.0ms	(fma (- t) a (* t a))

series233.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* j (- (* c a) (* y i)))
70.0ms	(* x (fma z y (- (* t a))))
30.0ms	(fma (- t) a (* t a))

simplify120.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	236	238
1	597	232
2	1587	230
3	4251	206
4	5001	206

prune169.0ms

Filtered

46 candidates to 20 candidates (43.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 8.6b

Counts

57 → 11

localize23.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
5.3b	(* x (* y z))
5.5b	(* x (- (* t a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-commutative`
16×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
7×	`associate-r`
4×	`sub-neg` `associate-*r/`
2×	`distribute-lft-neg-in` `flip3--` `distribute-rgt-neg-in` `flip--`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 40

Calls

4 calls:

5.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* j (- (* c a) (* y i)))
3.0ms	(* x (* y z))
4.0ms	(* x (- (* t a)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* j (- (* c a) (* y i)))
23.0ms	(* x (* y z))
27.0ms	(* x (- (* t a)))

simplify165.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 3 (63.0ms)

Iter	Nodes	Cost
0	240	237
1	607	231
2	1585	231
3	4265	207
4	5001	207

prune194.0ms

Filtered

52 candidates to 28 candidates (53.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	52	11	63

Merged error: 5.7b

Counts

63 → 11

localize29.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* x (- a)) t)
4.8b	(* b (- (* c z) (* t i)))
4.9b	(* j (- (* c a) (* y i)))
5.3b	(* x (* y z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-commutative`
16×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
4×	`sub-neg` `associate-*r/`
3×	`associate-r` `associate-l`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-out` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 38

Calls

4 calls:

4.0ms	(* (* x (- a)) t)
6.0ms	(* b (- (* c z) (* t i)))
5.0ms	(* j (- (* c a) (* y i)))
3.0ms	(* x (* y z))

series188.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* x (- a)) t)
68.0ms	(* b (- (* c z) (* t i)))
69.0ms	(* j (- (* c a) (* y i)))
24.0ms	(* x (* y z))

simplify128.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	234	234
1	602	228
2	1630	220
3	4536	180
4	5001	180

prune133.0ms

Filtered

50 candidates to 26 candidates (52.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	6	4	10
Picked	1	0	1
Done	0	0	0
Total	52	9	61

Merged error: 5.0b

Counts

61 → 9

regimes633.0ms

Accuracy

54.7% (2.9b remaining)

Error of 9.3b against oracle of 6.4b and baseline of 12.7b

bsearch237.0ms

Steps

Iters	Range		Point
9	13.656696832425032	1470585.9782701265	13.787129433780423
9	-2.1121993218505963e-57	-1.3559141669866238e-65	-4.7901908990735094e-58

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	37
1	95	37
2	99	37
3	99	37

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.4s

18804×

body

valid