Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

282×

body

valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	4
1	44	4
2	82	4
3	132	4
4	175	4
5	208	4
6	221	4
7	221	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 6.1b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
6.0b	(/ x (/ (* z (- y t)) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 18

Calls

2 calls:

3.0ms	(* z (- y t))
5.0ms	(/ x (/ (* z (- y t)) 2.0))

series82.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* z (- y t))
48.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (61.0ms)

Iter	Nodes	Cost
0	75	65
1	204	62
2	549	61
3	2276	61
4	5001	60

prune47.0ms

Filtered

24 candidates to 16 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 0.0b

Counts

26 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 2.0 (- y t))
0.2b	(/ (/ 2.0 (- y t)) z)
5.8b	(* x (/ (/ 2.0 (- y t)) z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-*r/`
7×	`clear-num` `associate-/l/`
6×	`associate-/r/` `associate-/l*`
5×	`frac-2neg` `div-inv`
3×	`flip3--` `flip--`
2×	`un-div-inv`
1×	`associate-r` `*-commutative`

Counts

3 → 27

Calls

3 calls:

2.0ms	(/ 2.0 (- y t))
4.0ms	(/ (/ 2.0 (- y t)) z)
5.0ms	(* x (/ (/ 2.0 (- y t)) z))

series181.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 2.0 (- y t))
68.0ms	(/ (/ 2.0 (- y t)) z)
71.0ms	(* x (/ (/ 2.0 (- y t)) z))

simplify50.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	91	66
1	250	65
2	677	65
3	1867	63
4	5001	63

prune67.0ms

Filtered

36 candidates to 26 candidates (72.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (- y t))
5.8b	(* (/ x z) (/ 2.0 (- y t)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`clear-num`
9×	`frac-times` `frac-2neg`
4×	`associate-/r/`
3×	`associate-r/` `associate-r` `associate-l/` `div-inv`
2×	`flip3--` `flip--`
1×	`associate-l` `un-div-inv` `*-commutative`

Counts

2 → 26

Calls

2 calls:

3.0ms	(/ 2.0 (- y t))
5.0ms	(* (/ x z) (/ 2.0 (- y t)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ 2.0 (- y t))
44.0ms	(* (/ x z) (/ 2.0 (- y t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	133	87
1	505	83
2	1908	83
3	5002	83

prune65.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (- y t))
5.4b	(/ (/ 2.0 (- y t)) (/ z x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-/r/`
8×	`div-inv`
4×	`frac-2neg` `clear-num`
3×	`flip3--` `times-frac` `flip--` `associate-/l/` `associate-/l*`
1×	`associate-/r*`

Counts

2 → 21

Calls

2 calls:

2.0ms	(/ 2.0 (- y t))
4.0ms	(/ (/ 2.0 (- y t)) (/ z x))

series158.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 2.0 (- y t))
116.0ms	(/ (/ 2.0 (- y t)) (/ z x))

simplify78.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	118	88
1	309	82
2	1004	80
3	3625	79
4	5001	79

prune48.0ms

Filtered

27 candidates to 20 candidates (74.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	27	6	33

Merged error: 0.0b

Counts

33 → 6

regimes161.0ms

Accuracy

54.5% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.8b

bsearch70.0ms

Steps

Iters	Range		Point
8	1.9643604573599217e-63	2.0522646471221353e-60	3.861992641392967e-62
7	-3.857969354615995e+95	-3.277729253430659e+93	-6.501064448897589e+94

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample481.0ms

Algorithm

intervals

Results

263.0ms

8709×

body

valid