Details

sample78.0ms

Algorithm

intervals

Results

41.0ms

626×

body

valid

simplify87.0ms

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

prune12.0ms

Filtered

1 candidates to 1 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: 14.1b

Counts

2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
5.1b	(* b (- (* c z) (* i a)))
6.1b	(* j (- (* c t) (* i y)))
6.4b	(* x (- (* y z) (* t a)))

rewrite26.0ms

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	(- (* c t) (* i y))
6.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* j (- (* c t) (* i y)))
8.0ms	(* x (- (* y z) (* t a)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* c t) (* i y))
72.0ms	(* b (- (* c z) (* i a)))
72.0ms	(* j (- (* c t) (* i y)))
70.0ms	(* x (- (* y z) (* t a)))

simplify71.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	320	383
1	881	373
2	2484	373
3	5002	313

prune188.0ms

Filtered

67 candidates to 28 candidates (41.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	58	9	67
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	59	10	69

Merged error: 10.0b

Counts

69 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

5.1b	(* b (- (* c z) (* i a)))
6.1b	(* j (- (* c t) (* i y)))
6.4b	(* x (fma z y (- (* t a))))
47.6b	(fma (- t) a (* t a))

rewrite15.0ms

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:

6.0ms	(* b (- (* c z) (* i a)))
5.0ms	(* j (- (* c t) (* i y)))
2.0ms	(* x (fma z y (- (* t a))))
1.0ms	(fma (- t) a (* t a))

series251.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* j (- (* c t) (* i y)))
86.0ms	(* x (fma z y (- (* t a))))
31.0ms	(fma (- t) a (* t a))

simplify129.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	238	238
1	598	232
2	1585	230
3	4220	206
4	5001	206

prune170.0ms

Filtered

46 candidates to 20 candidates (43.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	45	11	56

Merged error: 10.0b

Counts

56 → 11

localize36.0ms

Local error

Found 4 expressions with local error:

6.1b	(* j (fma t c (- (* i y))))
6.4b	(* x (fma z y (- (* t a))))
47.6b	(fma (- t) a (* t a))
52.1b	(fma (- i) y (* i y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`fma-udef`
2×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`

Counts

4 → 8

Calls

4 calls:

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

series216.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* j (fma t c (- (* i y))))
81.0ms	(* x (fma z y (- (* t a))))
28.0ms	(fma (- t) a (* t a))
28.0ms	(fma (- i) y (* i y))

simplify15.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	78	44
1	147	44
2	219	40
3	240	40
4	240	40

prune129.0ms

Filtered

20 candidates to 12 candidates (60.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	21	10	31

Merged error: 10.0b

Counts

31 → 10

localize38.0ms

Local error

Found 4 expressions with local error:

6.1b	(* j (fma t c (- (* i y))))
6.1b	(* x (* z y))
47.6b	(fma (- t) a (* t a))
52.1b	(fma (- i) y (* i y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`fma-udef`
3×	`*-commutative`
2×	`associate-r`
1×	`distribute-rgt-in` `distribute-lft-in`

Counts

4 → 8

Calls

4 calls:

2.0ms	(* j (fma t c (- (* i y))))
3.0ms	(* x (* z y))
1.0ms	(fma (- t) a (* t a))
1.0ms	(fma (- i) y (* i y))

series164.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* j (fma t c (- (* i y))))
32.0ms	(* x (* z y))
28.0ms	(fma (- t) a (* t a))
28.0ms	(fma (- i) y (* i y))

simplify13.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	60	30
1	101	30
2	138	28
3	149	28
4	149	28

prune86.0ms

Filtered

20 candidates to 12 candidates (60.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	20	10	30

Merged error: 8.1b

Counts

30 → 10

regimes695.0ms

Accuracy

6.1% (4.8b remaining)

Error of 12.3b against oracle of 7.5b and baseline of 12.6b

bsearch210.0ms

Steps

Iters	Range		Point
8	1.769180659596689e-296	1.127554199861058e-293	6.584199307173384e-294
9	-4.00136131274548e-192	-5.391557382615477e-199	-5.101805739841539e-198

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	50
1	85	50
2	86	50
3	86	50

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18697×

body

valid