Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

323×

body

valid

simplify76.0ms

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: 11.9b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
11.1b	(/ (* 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)

simplify78.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (74.0ms)

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

prune44.0ms

Filtered

24 candidates to 14 candidates (58.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize8.0ms

Local error

Found 1 expressions with local error:

1.2b	(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))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify92.0ms

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

prune6.0ms

Filtered

4 candidates to 1 candidates (25.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	0	4
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Merged error: 0b

Counts

7 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
3.1b	(/ 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))
5.0ms	(/ x (/ z (+ (- y z) 1.0)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ z (+ (- y z) 1.0))
47.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify44.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (41.0ms)

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

prune40.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	20	3	23

Merged error: 0b

Counts

23 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- y z)))
0.0b	(* x (- y z))
11.1b	(/ (+ (* x 1.0) (* x (- y z))) z)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 25

Calls

3 calls:

5.0ms	(+ (* x 1.0) (* x (- y z)))
3.0ms	(* x (- y z))
7.0ms	(/ (+ (* x 1.0) (* x (- y z))) z)

series147.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x 1.0) (* x (- y z)))
40.0ms	(* x (- y z))
67.0ms	(/ (+ (* x 1.0) (* x (- y z))) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	154	127
1	545	123
2	2424	118
3	5002	115

prune52.0ms

Filtered

34 candidates to 18 candidates (52.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	34	3	37

Merged error: 0b

Counts

37 → 3

regimes58.0ms

Accuracy

76.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch79.0ms

Steps

Iters	Range		Point
8	9.349759581274407e-114	1.9669099596609714e-110	1.9382208656229947e-110
9	-1.394695875033139e-08	-5.490563833332279e-14	-2.0792424800845725e-11

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	9
1	25	9

end0.0ms

sample495.0ms

Algorithm

intervals

Results

272.0ms

10171×

body

valid