Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

282×

body

valid

simplify23.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	4
1	46	4
2	88	4
3	138	4
4	188	4
5	236	4
6	260	4
7	263	4
8	263	4

prune7.0ms

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))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* z (- y t))
45.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 4 (54.0ms)

Iter	Nodes	Cost
0	77	65
1	210	62
2	593	61
3	2415	61
4	5003	60

prune44.0ms

Filtered

24 candidates to 15 candidates (62.5%)

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 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)))

series85.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ 2.0 (- y t))
45.0ms	(* (/ x z) (/ 2.0 (- y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	134	87
1	508	83
2	1928	83
3	5001	83

prune70.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	32	5	37

Merged error: 0.0b

Counts

37 → 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:

3.0ms	(/ 2.0 (- y t))
4.0ms	(/ (/ 2.0 (- y t)) z)
5.0ms	(* x (/ (/ 2.0 (- y t)) z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 2.0 (- y t))
72.0ms	(/ (/ 2.0 (- y t)) z)
75.0ms	(* x (/ (/ 2.0 (- y t)) z))

simplify51.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (19.0ms)

Iter	Nodes	Cost
0	94	66
1	259	65
2	709	64
3	1961	62
4	5001	62

prune72.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0.0b

Counts

41 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.6b	(/ 1 (* (/ z x) (/ (- y t) 2.0)))
5.3b	(* (/ z x) (/ (- y t) 2.0))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

30×	`frac-times`
24×	`associate-/r/`
23×	`clear-num`
21×	`frac-2neg`
16×	`associate-/l/`
10×	`associate-*r/`
8×	`flip3--` `flip--`
6×	`associate-*l/`
5×	`div-inv`
4×	`associate-/r*`
2×	`associate-r` `associate-l` `un-div-inv` `*-commutative`
1×	`inv-pow`

Counts

2 → 59

Calls

2 calls:

8.0ms	(/ 1 (* (/ z x) (/ (- y t) 2.0)))
6.0ms	(* (/ z x) (/ (- y t) 2.0))

series121.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ 1 (* (/ z x) (/ (- y t) 2.0)))
77.0ms	(* (/ z x) (/ (- y t) 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	283	259
1	1301	253
2	5001	244

prune155.0ms

Filtered

65 candidates to 55 candidates (84.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	65	5	70

Merged error: 0.0b

Counts

70 → 5

regimes132.0ms

Accuracy

53.1% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 5.6b

bsearch67.0ms

Steps

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	8
1	23	8

end0.0ms

sample517.0ms

Algorithm

intervals

Results

283.0ms

8709×

body

valid