Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

272×

body

valid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (23.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune8.0ms

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: 2.5b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
2.5b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-/r/`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ a (+ (- t z) 1.0))
1.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series191.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ a (+ (- t z) 1.0))
154.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify80.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	110	55
1	316	51
2	1031	47
3	3382	46
4	5002	42

prune42.0ms

Filtered

12 candidates to 10 candidates (83.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	9	3	12
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	9	5	14

Merged error: 2.5b

Counts

14 → 5

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.1b	(* a (/ 1 (+ (- t z) 1.0)))
2.5b	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`associate-/r/`
3×	`associate-r/` `associate-r*` `clear-num`
2×	`frac-2neg` `flip3-+` `un-div-inv` `flip-+` `div-inv`
1×	`*-commutative` `fma-udef` `inv-pow`

Counts

3 → 16

Calls

3 calls:

4.0ms	(/ 1 (+ (- t z) 1.0))
5.0ms	(* a (/ 1 (+ (- t z) 1.0)))
1.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series230.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ 1 (+ (- t z) 1.0))
36.0ms	(* a (/ 1 (+ (- t z) 1.0)))
154.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify62.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	134	70
1	512	65
2	2373	61
3	5001	60

prune64.0ms

Filtered

25 candidates to 16 candidates (64.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	25	5	30

Merged error: 1.6b

Counts

30 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
11.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 23

Calls

3 calls:

5.0ms	(/ (+ (- t z) 1.0) a)
2.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
6.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series256.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(/ (+ (- t z) 1.0) a)
94.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
130.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify76.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	241	177
1	720	168
2	3151	156
3	5001	156

prune99.0ms

Filtered

32 candidates to 25 candidates (78.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	2	0	2
Picked	1	0	1
Done	0	2	2
Total	31	6	37

Merged error: 0.0b

Counts

37 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (- (+ (- t z) 1.0))) (- a)))
0.0b	(/ (- y z) (- (+ (- t z) 1.0)))
0.4b	(* (/ (- y z) (- (+ (- t z) 1.0))) (- a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 25

Calls

3 calls:

2.0ms	(- x (* (/ (- y z) (- (+ (- t z) 1.0))) (- a)))
5.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
8.0ms	(* (/ (- y z) (- (+ (- t z) 1.0))) (- a))

series285.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- x (* (/ (- y z) (- (+ (- t z) 1.0))) (- a)))
58.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
132.0ms	(* (/ (- y z) (- (+ (- t z) 1.0))) (- a))

simplify37.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	289	193
1	1106	177
2	5001	172

prune107.0ms

Filtered

34 candidates to 30 candidates (88.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	3	0	3
Picked	0	1	1
Done	1	1	2
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

regimes132.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	26	8
2	29	8
3	29	8

end0.0ms

sample540.0ms

Algorithm

intervals

Results

291.0ms	8475×	body	80	valid
0.0ms	3×	body	640	valid