Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

272×

body

valid

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	8
1	43	8
2	75	8
3	120	8
4	156	8
5	189	8
6	265	8
7	451	8
8	1023	8
9	3632	8
10	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 24.1b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ y (* z (- b y)))
0.0b	(* z (- b y))
1.3b	(+ (* x y) (* z (- t a)))
23.2b	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+r+`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
4×	`flip3-+` `flip-+`
2×	`+-commutative` `fma-def` `associate-r/` `associate-/r/` `-commutative` `associate-/l/`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv`

Counts

4 → 30

Calls

4 calls:

4.0ms	(+ y (* z (- b y)))
3.0ms	(* z (- b y))
5.0ms	(+ (* x y) (* z (- t a)))
9.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

series451.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ y (* z (- b y)))
37.0ms	(* z (- b y))
47.0ms	(+ (* x y) (* z (- t a)))
333.0ms	(/ (+ (* x y) (* z (- t a))) (+ y (* z (- b y))))

simplify93.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	193	178
1	685	163
2	3453	158
3	5001	158

prune133.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 23.4b

Counts

43 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma z (- b y) y)
1.3b	(+ (* x y) (* z (- t a)))
23.2b	(/ (+ (* x y) (* z (- t a))) (fma z (- b y) y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-+r+`
2×	`distribute-rgt-in` `sub-neg` `fma-def` `distribute-lft-in` `flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `clear-num` `*-commutative` `fma-udef` `div-inv`

Counts

3 → 15

Calls

3 calls:

1.0ms	(fma z (- b y) y)
5.0ms	(+ (* x y) (* z (- t a)))
7.0ms	(/ (+ (* x y) (* z (- t a))) (fma z (- b y) y))

series411.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma z (- b y) y)
43.0ms	(+ (* x y) (* z (- t a)))
342.0ms	(/ (+ (* x y) (* z (- t a))) (fma z (- b y) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	125	100
1	397	89
2	2055	87
3	5001	87

prune76.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	4	4	8
Picked	0	1	1
Done	0	0	0
Total	24	9	33

Merged error: 23.4b

Counts

33 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.3b	(/ 1 (/ (fma z (- b y) y) (+ (* x y) (* z (- t a)))))
1.3b	(+ (* x y) (* z (- t a)))
23.2b	(/ (fma z (- b y) y) (+ (* x y) (* z (- t a))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
4×	`associate-+r+` `clear-num`
3×	`frac-2neg` `flip3-+` `associate-/r*` `flip-+` `div-inv`
2×	`distribute-rgt-in` `sub-neg` `fma-def` `distribute-lft-in`
1×	`+-commutative` `*-commutative` `fma-udef` `remove-double-div` `inv-pow`

Counts

4 → 26

Calls

4 calls:

1.0ms	(fma z (- b y) y)
6.0ms	(/ 1 (/ (fma z (- b y) y) (+ (* x y) (* z (- t a)))))
5.0ms	(+ (* x y) (* z (- t a)))
5.0ms	(/ (fma z (- b y) y) (+ (* x y) (* z (- t a))))

series656.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma z (- b y) y)
479.0ms	(/ 1 (/ (fma z (- b y) y) (+ (* x y) (* z (- t a)))))
47.0ms	(+ (* x y) (* z (- t a)))
103.0ms	(/ (fma z (- b y) y) (+ (* x y) (* z (- t a))))

simplify64.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	138	162
1	425	151
2	1863	145
3	5001	145

prune127.0ms

Filtered

38 candidates to 26 candidates (68.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	38	9	47

Merged error: 12.3b

Counts

47 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma z (- b y) y)
0.6b	(/ 1 (fma z (- b y) y))
1.3b	(+ (* x y) (* z (- t a)))
22.8b	(* (/ 1 (fma z (- b y) y)) (+ (* x y) (* z (- t a))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`
6×	`frac-times` `sub-neg`
5×	`flip3-+` `flip-+`
4×	`frac-2neg` `clear-num`
3×	`+-commutative` `associate-*l/`
2×	`fma-def` `associate-r/` `-commutative` `div-inv`
1×	`associate-l` `fma-udef` `inv-pow`

Counts

4 → 39

Calls

4 calls:

1.0ms	(fma z (- b y) y)
2.0ms	(/ 1 (fma z (- b y) y))
5.0ms	(+ (* x y) (* z (- t a)))
9.0ms	(* (/ 1 (fma z (- b y) y)) (+ (* x y) (* z (- t a))))

series637.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma z (- b y) y)
62.0ms	(/ 1 (fma z (- b y) y))
44.0ms	(+ (* x y) (* z (- t a)))
504.0ms	(* (/ 1 (fma z (- b y) y)) (+ (* x y) (* z (- t a))))

simplify41.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	266	361
1	955	325
2	5001	323

prune106.0ms

Filtered

51 candidates to 26 candidates (51.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	50	10	60

Merged error: 12.3b

Counts

60 → 10

regimes448.0ms

Accuracy

34.8% (8.2b remaining)

Error of 19.0b against oracle of 10.8b and baseline of 23.4b

bsearch124.0ms

Steps

Iters	Range		Point
9	1.5340021636682078e+92	4.5336870613845745e+98	9.081015033724511e+95
10	-1.3164224548041124e+76	-1.4236159257461274e+63	-1.066732755010575e+75

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	10
1	28	10

end0.0ms

sample703.0ms

Algorithm

intervals

Results

392.0ms

8419×

body

valid