Details

sample82.0ms

Algorithm

intervals

Results

44.0ms

626×

body

valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

localize22.0ms

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)))

rewrite24.0ms

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)))
6.0ms	(* x (- (* y z) (* t a)))

series268.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* c t) (* i y))
72.0ms	(* b (- (* c z) (* i a)))
79.0ms	(* j (- (* c t) (* i y)))
77.0ms	(* x (- (* y z) (* t a)))

simplify78.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (71.0ms)

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

prune203.0ms

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

localize29.0ms

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))

rewrite16.0ms

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))

series261.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* b (- (* c z) (* i a)))
75.0ms	(* j (- (* c t) (* i y)))
78.0ms	(* x (fma z y (- (* t a))))
29.0ms	(fma (- t) a (* t a))

simplify137.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (51.0ms)

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

prune187.0ms

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

localize30.0ms

Local error

Found 4 expressions with local error:

5.6b	(* x (- (* t a)))
6.1b	(* j (- (* c t) (* i y)))
6.1b	(* x (* z y))
47.6b	(fma (- t) a (* t a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-commutative`
8×	`prod-diff`
7×	`associate-r`
6×	`distribute-rgt-in` `distribute-lft-in`
2×	`distribute-lft-neg-in` `sub-neg` `distribute-rgt-neg-in` `associate-*r/`
1×	`neg-mul-1` `flip3--` `distribute-rgt-neg-out` `flip--` `fma-udef`

Counts

4 → 26

Calls

4 calls:

4.0ms	(* x (- (* t a)))
6.0ms	(* j (- (* c t) (* i y)))
4.0ms	(* x (* z y))
1.0ms	(fma (- t) a (* t a))

series164.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* x (- (* t a)))
75.0ms	(* j (- (* c t) (* i y)))
27.0ms	(* x (* z y))
33.0ms	(fma (- t) a (* t a))

simplify83.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 4 (80.0ms)

Iter	Nodes	Cost
0	150	131
1	355	128
2	858	128
3	2175	128
4	5002	96

prune198.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	37	12	49

Merged error: 8.1b

Counts

49 → 12

localize34.0ms

Local error

Found 4 expressions with local error:

5.1b	(* b (- (* c z) (* i a)))
5.6b	(* x (- (* t a)))
6.1b	(* j (- (* c t) (* i y)))
47.6b	(fma (- t) a (* t a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-commutative`
16×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
5×	`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` `fma-udef`

Counts

4 → 38

Calls

4 calls:

6.0ms	(* b (- (* c z) (* i a)))
4.0ms	(* x (- (* t a)))
6.0ms	(* j (- (* c t) (* i y)))
1.0ms	(fma (- t) a (* t a))

series209.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* x (- (* t a)))
74.0ms	(* j (- (* c t) (* i y)))
30.0ms	(fma (- t) a (* t a))

simplify141.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	236	233
1	602	227
2	1611	219
3	4483	179
4	5001	179

prune171.0ms

Filtered

50 candidates to 25 candidates (50.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	47	3	50
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	51	11	62

Merged error: 8.1b

Counts

62 → 11

regimes801.0ms

Accuracy

29.5% (3.3b remaining)

Error of 10.6b against oracle of 7.3b and baseline of 12.0b

bsearch256.0ms

Steps

Iters	Range		Point
7	1.5826901800019543e+40	9.410933052996029e+41	1.2814580398856337e+41
9	-2.1121993218505963e-57	-1.3559141669866238e-65	-5.111433660494341e-62

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	45
1	86	45
2	87	45
3	87	45

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18697×

body

valid