Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3772	4
12	5001	4

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: 4.8b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
10.2b	(* (- y x) (/ z t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

simplify71.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	144	129
1	616	129
2	3243	117
3	5001	117

prune54.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	17	6	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	7	24

Merged error: 0.0b

Counts

24 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ (- y x) (/ t z)))
10.3b	(/ (- y x) (/ t z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 14

Calls

2 calls:

3.0ms	(+ x (/ (- y x) (/ t z)))
4.0ms	(/ (- y x) (/ t z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(+ x (/ (- y x) (/ t z)))
44.0ms	(/ (- y x) (/ t z))

simplify43.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	131	95
1	371	83
2	1396	82
3	5001	82

prune43.0ms

Filtered

20 candidates to 12 candidates (60.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	17	3	20
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- t))
0.0b	(+ x (* (/ (- y x) (- t)) (- z)))
5.4b	(* (/ (- y x) (- t)) (- z))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`associate-*l/`
4×	`associate-/l/`
3×	`neg-mul-1` `distribute-rgt-neg-out`
2×	`flip3--` `frac-2neg` `clear-num` `associate-/r*` `flip--` `div-inv`
1×	`+-commutative` `flip3-+` `div-sub` `associate-r` `associate-l` `unsub-neg` `*-commutative` `flip-+`

Counts

3 → 22

Calls

3 calls:

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

series106.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(/ (- y x) (- t))
33.0ms	(+ x (* (/ (- y x) (- t)) (- z)))
45.0ms	(* (/ (- y x) (- t)) (- z))

simplify93.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	179	138
1	660	133
2	2965	131
3	5002	131

prune78.0ms

Filtered

31 candidates to 24 candidates (77.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- z) (/ (- t) (- y x))))
0.0b	(/ (- t) (- y x))
5.2b	(/ (- z) (/ (- t) (- y x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-/r/`
6×	`neg-mul-1`
4×	`distribute-frac-neg` `div-inv`
3×	`neg-sub0` `flip3--` `frac-2neg` `times-frac` `div-sub` `clear-num` `associate-/r` `flip--` `associate-/l`
1×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `flip-+`

Counts

3 → 30

Calls

3 calls:

5.0ms	(+ x (/ (- z) (/ (- t) (- y x))))
3.0ms	(/ (- t) (- y x))
5.0ms	(/ (- z) (/ (- t) (- y x)))

series122.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ x (/ (- z) (/ (- t) (- y x))))
28.0ms	(/ (- t) (- y x))
55.0ms	(/ (- z) (/ (- t) (- y x)))

simplify97.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	167	171
1	597	166
2	2885	162
3	5001	162

prune78.0ms

Filtered

39 candidates to 30 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	39	6	45

Merged error: 0.0b

Counts

45 → 6

regimes234.0ms

Accuracy

76.5% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 5.9b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	42
1	52	42
2	55	42
3	55	42

end0.0ms

sample564.0ms

Algorithm

intervals

Results

289.0ms

10685×

body

valid