Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

289×

body

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	35	5
2	56	5
3	94	5
4	150	5
5	185	5
6	203	5
7	230	5
8	280	5
9	368	5
10	457	5
11	723	5
12	922	5
13	1038	5
14	1060	5
15	1060	5

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: 1.3b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* y (/ (- z t) (- z a)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 18

Calls

2 calls:

4.0ms	(/ (- z t) (- z a))
5.0ms	(* y (/ (- z t) (- z a)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(/ (- z t) (- z a))
61.0ms	(* y (/ (- z t) (- z a)))

simplify116.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 3 (48.0ms)

Iter	Nodes	Cost
0	107	59
1	336	59
2	1145	59
3	4271	57
4	5001	57

prune61.0ms

Filtered

24 candidates to 19 candidates (79.2%)

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

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.7b	(/ y (/ (- z a) (- z t)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 19

Calls

2 calls:

4.0ms	(/ (- z a) (- z t))
4.0ms	(/ y (/ (- z a) (- z t)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- z a) (- z t))
111.0ms	(/ y (/ (- z a) (- z t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	110	72
1	311	72
2	898	71
3	3610	69
4	5001	69

prune63.0ms

Filtered

25 candidates to 20 candidates (80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z a))
0.0b	(- (/ z (- z a)) (/ t (- z a)))
0.0b	(/ z (- z a))
1.8b	(* y (- (/ z (- z a)) (/ t (- z a))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-2neg` `frac-sub`
14×	`clear-num`
13×	`associate-*r/`
12×	`associate-/r/`
8×	`flip3--` `flip--`
6×	`distribute-rgt-out--` `div-inv`
4×	`sub-div`
3×	`sub-neg` `associate-r`
2×	`distribute-rgt-in` `distribute-lft-in`
1×	`*-commutative`

Counts

4 → 49

Calls

4 calls:

2.0ms	(/ t (- z a))
6.0ms	(- (/ z (- z a)) (/ t (- z a)))
2.0ms	(/ z (- z a))
9.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

series342.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ t (- z a))
103.0ms	(- (/ z (- z a)) (/ t (- z a)))
50.0ms	(/ z (- z a))
159.0ms	(* y (- (/ z (- z a)) (/ t (- z a))))

simplify118.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	264	330
1	882	301
2	4468	278
3	5001	278

prune139.0ms

Filtered

61 candidates to 46 candidates (75.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Merged error: 0b

Counts

65 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
11.0b	(* (/ y (- z a)) (- z t))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

2.0ms	(/ y (- z a))
5.0ms	(* (/ y (- z a)) (- z t))

series141.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ y (- z a))
110.0ms	(* (/ y (- z a)) (- z t))

simplify64.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	179	128
1	634	128
2	2907	128
3	5001	128

prune70.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	30	4	34

Merged error: 0b

Counts

34 → 4

regimes106.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample518.0ms

Algorithm

intervals

Results

263.0ms

8784×

body

valid