Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

323×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	29	6
2	38	6
3	45	6
4	51	6
5	54	6
6	54	6

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: 1.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
4.2b	(* (/ x y) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*l/`
15×	`frac-sub`
12×	`frac-2neg`
10×	`clear-num`
8×	`associate-/l/`
4×	`flip3-+` `flip-+`
2×	`div-inv` `sub-div`
1×	`sub-neg` `flip3--` `associate-l` `*-commutative` `flip--`

Counts

3 → 31

Calls

3 calls:

3.0ms	(/ (+ x 4.0) y)
7.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0ms	(* (/ x y) z)

series91.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ (+ x 4.0) y)
40.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms	(* (/ x y) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	354	299
1	1697	271
2	5001	262

prune92.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	4	41

Merged error: 0.0b

Counts

41 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 4.0) y)
0.0b	(- (/ (+ x 4.0) y) (* x (/ z y)))
4.7b	(* x (/ z y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 38

Calls

3 calls:

3.0ms	(/ (+ x 4.0) y)
7.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
3.0ms	(* x (/ z y))

series89.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (+ x 4.0) y)
46.0ms	(- (/ (+ x 4.0) y) (* x (/ z y)))
18.0ms	(* x (/ z y))

simplify48.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	367	358
1	1687	330
2	5002	316

prune90.0ms

Filtered

47 candidates to 29 candidates (61.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0b

Counts

51 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(/ (- (- (+ x 4.0) (* x z))) (- y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`neg-mul-1`
2×	`associate-/l/` `distribute-neg-frac`
1×	`neg-sub0` `flip3--` `frac-2neg` `times-frac` `div-sub` `distribute-frac-neg` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l`

Counts

1 → 10

Calls

1 calls:

5.0ms

(/ (- (- (+ x 4.0) (* x z))) (- y))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(/ (- (- (+ x 4.0) (* x z))) (- y))

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	105	72
1	368	72
2	1494	72
3	5002	68

prune34.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	13	5	18

Merged error: 0b

Counts

18 → 5

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ -1 (/ (- y) (- (+ x 4.0) (* x z))))
2.7b	(/ (- y) (- (+ x 4.0) (* x z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/`
3×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`
2×	`neg-mul-1` `flip3--` `flip--` `associate-/l*`
1×	`neg-sub0` `div-sub` `distribute-frac-neg`

Counts

2 → 18

Calls

2 calls:

5.0ms	(/ -1 (/ (- y) (- (+ x 4.0) (* x z))))
4.0ms	(/ (- y) (- (+ x 4.0) (* x z)))

series98.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(/ -1 (/ (- y) (- (+ x 4.0) (* x z))))
54.0ms	(/ (- y) (- (+ x 4.0) (* x z)))

simplify85.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	157	136
1	603	132
2	3040	123
3	5001	123

prune58.0ms

Filtered

24 candidates to 20 candidates (83.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	24	5	29

Merged error: 0b

Counts

29 → 5

regimes99.0ms

Accuracy

97.2% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.4b

bsearch69.0ms

Steps

Iters	Range		Point
9	4.4247309415038125e+33	7.871107552332212e+42	1.662672792848544e+36
6	-0.2390566333155073	-0.023919459482322245	-0.12093481890030686

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

end0.0ms

sample515.0ms

Algorithm

intervals

Results

311.0ms

10045×

body

valid