Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

317×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	46	4
2	121	4
3	258	4
4	434	4
5	687	4
6	1957	4
7	5002	4

prune2.0ms

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: 9.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.8b	(/ (* x (+ (- y z) 1.0)) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 18

Calls

2 calls:

5.0ms	(* x (+ (- y z) 1.0))
6.0ms	(/ (* x (+ (- y z) 1.0)) z)

series78.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* x (+ (- y z) 1.0))
45.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (73.0ms)

Iter	Nodes	Cost
0	123	97
1	315	91
2	977	88
3	3603	85
4	5001	84

prune45.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

2.6b	(fma (/ x z) (+ 1.0 y) (- x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`fma-udef`

Counts

1 → 1

Calls

1 calls:

1.0ms

(fma (/ x z) (+ 1.0 y) (- x))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(fma (/ x z) (+ 1.0 y) (- x))

simplify89.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	31	21
1	63	21
2	98	15
3	121	15
4	162	15
5	229	15
6	387	15
7	861	15
8	1250	15
9	1796	15
10	3467	15
11	5002	15

prune10.0ms

Filtered

4 candidates to 1 candidates (25.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	4	4	8

Merged error: 0.0b

Counts

8 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.0b	(/ x (/ z (+ (- y z) 1.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`flip3-+` `flip-+`

Counts

2 → 14

Calls

2 calls:

4.0ms	(/ z (+ (- y z) 1.0))
4.0ms	(/ x (/ z (+ (- y z) 1.0)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ z (+ (- y z) 1.0))
43.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	99	76
1	306	71
2	1258	69
3	5001	66

prune42.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	20	4	24

Merged error: 0.0b

Counts

24 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
8.9b	(* (* x (+ (- y z) 1.0)) (/ 1 z))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 28

Calls

2 calls:

5.0ms	(* x (+ (- y z) 1.0))
7.0ms	(* (* x (+ (- y z) 1.0)) (/ 1 z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* x (+ (- y z) 1.0))
41.0ms	(* (* x (+ (- y z) 1.0)) (/ 1 z))

simplify60.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	167	174
1	654	165
2	2698	155
3	5001	153

prune53.0ms

Filtered

34 candidates to 19 candidates (55.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

regimes68.0ms

Accuracy

53.7% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.7b

bsearch74.0ms

Steps

Iters	Range		Point
9	9.422020139465223e-305	1.7541988003263296e-295	1.7248038276189428e-295
8	-1.489312294692343e-55	-6.578305581557133e-59	-9.537221398810675e-59

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample687.0ms

Algorithm

intervals

Results

477.0ms

10129×

body

valid