Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify131.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune10.0ms

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: 0.0b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
14.8b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

4×	`fma-udef`
2×	`-commutative` `associate-/l`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv`

Counts

4 → 10

Calls

4 calls:

1.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
4.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
6.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series242.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
49.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
91.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify185.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	135	87
1	325	80
2	1081	78
3	4728	72
4	5001	72

prune43.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	22	2	24

Merged error: 0b

Counts

24 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

0.1b

(fma x (fma 0.04481 x 0.99229) 1.0)

14.8b

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-udef`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 5

Calls

3 calls:

1.0ms

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

1.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

2.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

series156.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms

(fma (- x) 0.70711 (/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0)))

25.0ms

(fma x (fma 0.04481 x 0.99229) 1.0)

63.0ms

(/ (fma 0.1913510371 x 1.6316775383) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify180.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 4 (177.0ms)

Iter	Nodes	Cost
0	111	69
1	285	62
2	986	60
3	4532	54
4	5001	52

prune26.0ms

Filtered

14 candidates to 9 candidates (64.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	14	2	16

Merged error: 0b

Counts

16 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1.3436228731669866 x) 2.134856267379707)
0.1b	(fma x (- (* 1.3436228731669866 x) 2.134856267379707) 1.6316775383)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

2×	`fma-neg`
1×	`sub-neg` `flip3--` `*-commutative` `flip--` `fma-udef`

Counts

2 → 7

Calls

2 calls:

6.0ms	(- (* 1.3436228731669866 x) 2.134856267379707)
1.0ms	(fma x (- (* 1.3436228731669866 x) 2.134856267379707) 1.6316775383)

series100.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (* 1.3436228731669866 x) 2.134856267379707)
53.0ms	(fma x (- (* 1.3436228731669866 x) 2.134856267379707) 1.6316775383)

simplify52.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (16.0ms)

Iter	Nodes	Cost
0	71	43
1	188	39
2	553	39
3	1405	35
4	5002	35

prune20.0ms

Filtered

13 candidates to 7 candidates (53.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	13	2	15

Merged error: 0b

Counts

15 → 2

regimes11.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	6

end0.0ms

sample346.0ms

Algorithm

intervals

Results

259.0ms

8000×

body

valid