Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

314×

body

valid

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma x y (* (- 1.0 x) z))
0.0b	(* (- 1.0 x) z)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-*l/`
1×	`flip3--` `*-commutative` `flip--` `fma-udef`

Counts

2 → 4

Calls

2 calls:

1.0ms	(fma x y (* (- 1.0 x) z))
3.0ms	(* (- 1.0 x) z)

series59.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(fma x y (* (- 1.0 x) z))
28.0ms	(* (- 1.0 x) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

10 → 10

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	49	30
1	114	27
2	269	24
3	685	24
4	2329	24
5	5001	24

prune18.0ms

Filtered

10 candidates to 5 candidates (50.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	9	1	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	9	2	11

Merged error: 0.0b

Counts

11 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.0 1.0) (* x x))
0.0b	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
3.3b	(* (- (* 1.0 1.0) (* x x)) z)
5.7b	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-commutative`
12×	`difference-of-squares`
8×	`associate-l`
6×	`associate-/l*`
4×	`prod-diff` `associate-*l/`
3×	`flip3--` `flip--`
2×	`fma-neg` `associate-/r/` `associate-/l/`
1×	`sub-neg` `frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

4 → 35

Calls

4 calls:

5.0ms	(- (* 1.0 1.0) (* x x))
1.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
5.0ms	(* (- (* 1.0 1.0) (* x x)) z)
8.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series192.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* 1.0 1.0) (* x x))
57.0ms	(fma x y (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
39.0ms	(* (- (* 1.0 1.0) (* x x)) z)
59.0ms	(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify58.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	172	189
1	576	183
2	2009	161
3	5002	145

prune83.0ms

Filtered

47 candidates to 26 candidates (55.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x y (/ z (/ 1 (- 1.0 x))))
0.0b	(/ 1 (- 1.0 x))
0.1b	(/ z (/ 1 (- 1.0 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`flip3--` `flip--`
1×	`fma-udef` `inv-pow`

Counts

3 → 16

Calls

3 calls:

1.0ms	(fma x y (/ z (/ 1 (- 1.0 x))))
3.0ms	(/ 1 (- 1.0 x))
3.0ms	(/ z (/ 1 (- 1.0 x)))

series93.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(fma x y (/ z (/ 1 (- 1.0 x))))
23.0ms	(/ 1 (- 1.0 x))
38.0ms	(/ z (/ 1 (- 1.0 x)))

simplify76.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (74.0ms)

Iter	Nodes	Cost
0	111	77
1	407	70
2	2301	67
3	5002	66

prune47.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	0	1
Picked	0	1	1
Done	2	0	2
Total	27	2	29

Merged error: 0b

Counts

29 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- y z))
0.0b	(fma z 1.0 (* x (- y z)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `*-commutative` `flip--` `fma-udef`

Counts

2 → 8

Calls

2 calls:

3.0ms	(* x (- y z))
1.0ms	(fma z 1.0 (* x (- y z)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (- y z))
37.0ms	(fma z 1.0 (* x (- y z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	52	39
1	116	36
2	279	36
3	696	36
4	2345	36
5	5002	36

prune18.0ms

Filtered

14 candidates to 6 candidates (42.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0b

Counts

16 → 2

regimes39.0ms

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	8	3
1	8	3

end0.0ms

sample431.0ms

Algorithm

intervals

Results

232.0ms

10175×

body

valid

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3

Iter	Nodes	Cost
0	14	3
1	24	3
2	40	3
3	64	3
4	84	3
5	102	3
6	128	3
7	177	3
8	272	3
9	508	3
10	736	3
11	754	3
12	756	3
13	756	3