Details

sample36.0ms

Algorithm

intervals

Results

17.0ms

323×

body

valid

simplify97.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	4
1	44	4
2	114	4
3	220	4
4	354	4
5	550	4
6	1669	4
7	5001	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

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:

4.0ms	(* x (+ (- y z) 1.0))
6.0ms	(/ (* x (+ (- y z) 1.0)) z)

series70.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* x (+ (- y z) 1.0))
37.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify81.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	119	97
1	286	91
2	869	91
3	3233	91
4	5001	87

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

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

6.0ms	(/ z (+ (- y z) 1.0))
7.0ms	(/ x (/ z (+ (- y z) 1.0)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(/ z (+ (- y z) 1.0))
48.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify38.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	97	76
1	288	74
2	1174	72
3	5002	72

prune37.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0b

Counts

24 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- y z) 1.0) z)
3.7b	(* x (/ (+ (- y z) 1.0) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-*r/`
4×	`associate-/l/`
3×	`clear-num`
2×	`frac-2neg` `flip3-+` `flip-+` `div-inv`
1×	`associate-+l-` `div-sub` `associate-r` `un-div-inv` `*-commutative`

Counts

2 → 14

Calls

2 calls:

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

series59.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(/ (+ (- y z) 1.0) z)
36.0ms	(* x (/ (+ (- y z) 1.0) z))

simplify44.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	120	76
1	396	76
2	1646	73
3	5001	73

prune31.0ms

Filtered

20 candidates to 12 candidates (60.0%)

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: 0b

Counts

24 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
7.9b	(/ (* x y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-add`
15×	`associate-*r/` `clear-num`
10×	`frac-2neg` `associate-/l*`
5×	`un-div-inv` `*-commutative`
3×	`div-inv`
2×	`+-commutative` `associate--l+`
1×	`sub-neg` `distribute-rgt-out` `flip3--` `flip3-+` `associate-r` `flip--` `flip-+`

Counts

3 → 35

Calls

3 calls:

7.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
9.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
3.0ms	(/ (* x y) z)

series99.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
36.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
20.0ms	(/ (* x y) z)

simplify48.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	324	312
1	1387	293
2	5001	265

prune67.0ms

Filtered

44 candidates to 28 candidates (63.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	44	4	48

Merged error: 0b

Counts

48 → 4

regimes59.0ms

Accuracy

77.4% (0.4b remaining)

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

bsearch65.0ms

Steps

Iters	Range		Point
8	9.349759581274407e-114	1.9669099596609714e-110	1.9382208656229947e-110
8	-2.9148937725967404e-17	-3.1158541889032954e-21	-1.062551417993879e-20

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	10
1	27	10

end0.0ms

sample496.0ms

Algorithm

intervals

Results

261.0ms

10171×

body

valid