Details

sample31.0ms

Algorithm

intervals

Results

14.0ms

486×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	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: 5.1b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* z z) t)
0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
4.7b	(* (* y 4.0) (- (* z z) t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `associate--r+`
3×	`flip3--` `flip--`
2×	`associate-r/` `associate-l` `-commutative`

Counts

3 → 21

Calls

3 calls:

3.0ms	(- (* z z) t)
7.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
5.0ms	(* (* y 4.0) (- (* z z) t))

series152.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (* z z) t)
74.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
58.0ms	(* (* y 4.0) (- (* z z) t))

simplify95.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	175	168
1	657	161
2	2557	157
3	5001	157

prune65.0ms

Filtered

30 candidates to 18 candidates (60.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	24	6	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	6	31

Merged error: 4.5b

Counts

31 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 4.0 (* y (- (* z z) t)))
0.0b	(- (* x x) (* 4.0 (* y (- (* z z) t))))
0.0b	(- (* z z) t)
4.5b	(* y (- (* z z) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`distribute-rgt-in` `distribute-lft-in`
12×	`sub-neg`
8×	`associate--r+`
6×	`associate-*r/`
4×	`flip3--` `flip--`
3×	`*-commutative`
2×	`associate-r`

Counts

4 → 36

Calls

4 calls:

5.0ms	(* 4.0 (* y (- (* z z) t)))
7.0ms	(- (* x x) (* 4.0 (* y (- (* z z) t))))
3.0ms	(- (* z z) t)
4.0ms	(* y (- (* z z) t))

series208.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 4.0 (* y (- (* z z) t)))
76.0ms	(- (* x x) (* 4.0 (* y (- (* z z) t))))
20.0ms	(- (* z z) t)
52.0ms	(* y (- (* z z) t))

simplify135.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	195	241
1	721	236
2	3472	232
3	5002	232

prune78.0ms

Filtered

48 candidates to 24 candidates (50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 4.5b

Counts

54 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x x) (* (* (* z z) y) 4.0)) (* 4.0 (* y (- t))))
0.0b	(* 4.0 (* y (- t)))
0.0b	(* (* (* z z) y) 4.0)
7.9b	(* (* z z) y)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-l`
7×	`*-commutative`
4×	`associate-r`
2×	`sub-neg` `associate--l+` `distribute-rgt-neg-out`
1×	`associate--l-` `neg-mul-1` `flip3--` `flip--`

Counts

4 → 20

Calls

4 calls:

12.0ms	(- (- (* x x) (* (* (* z z) y) 4.0)) (* 4.0 (* y (- t))))
3.0ms	(* 4.0 (* y (- t)))
5.0ms	(* (* (* z z) y) 4.0)
4.0ms	(* (* z z) y)

series119.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (- (* x x) (* (* (* z z) y) 4.0)) (* 4.0 (* y (- t))))
17.0ms	(* 4.0 (* y (- t)))
20.0ms	(* (* (* z z) y) 4.0)
17.0ms	(* (* z z) y)

simplify108.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	132	149
1	426	135
2	2204	118
3	5001	118

prune67.0ms

Filtered

32 candidates to 20 candidates (62.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	33	5	38

Merged error: 0.0b

Counts

38 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (- (* x x) (* (* z (* z y)) 4.0)) (* 4.0 (* y (- t))))
0.0b	(* 4.0 (* y (- t)))
0.0b	(* (* z (* z y)) 4.0)
0.2b	(* z (* z y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-r`
7×	`*-commutative`
4×	`associate-l`
2×	`sub-neg` `associate--l+` `distribute-rgt-neg-out`
1×	`associate--l-` `neg-mul-1` `flip3--` `flip--`

Counts

4 → 20

Calls

4 calls:

8.0ms	(- (- (* x x) (* (* z (* z y)) 4.0)) (* 4.0 (* y (- t))))
3.0ms	(* 4.0 (* y (- t)))
4.0ms	(* (* z (* z y)) 4.0)
3.0ms	(* z (* z y))

series119.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- (- (* x x) (* (* z (* z y)) 4.0)) (* 4.0 (* y (- t))))
17.0ms	(* 4.0 (* y (- t)))
21.0ms	(* (* z (* z y)) 4.0)
17.0ms	(* z (* z y))

simplify99.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	129	147
1	421	133
2	2246	116
3	5001	116

prune55.0ms

Filtered

32 candidates to 19 candidates (59.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

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

Merged error: 0.0b

Counts

37 → 5

regimes209.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	9
1	29	9
2	33	9
3	33	9

end0.0ms

sample917.0ms

Algorithm

intervals

Results

491.0ms

15600×

body

valid