Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	8
1	63	8
2	149	8
3	358	8
4	840	8
5	5001	8

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: 11.8b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.6b	(- (* (* z 2.0) z) (* y t))
18.8b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-commutative`
8×	`associate-l` `prod-diff`
4×	`fma-neg` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv`

Counts

3 → 29

Calls

3 calls:

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

series292.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
38.0ms	(- (* (* z 2.0) z) (* y t))
175.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	195	241
1	676	238
2	3151	237
3	5001	232

prune73.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))))
0.0b	(fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))
0.9b	(/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0)))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `frac-2neg` `clear-num` `flip--` `fma-udef` `div-inv` `inv-pow`

Counts

3 → 9

Calls

3 calls:

2.0ms	(- x (/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))))
1.0ms	(fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))
2.0ms	(/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0)))))

series91.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(- x (/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))))
32.0ms	(fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))
29.0ms	(/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 4 (57.0ms)

Iter	Nodes	Cost
0	81	103
1	211	100
2	634	97
3	2275	88
4	5001	85

prune41.0ms

Filtered

18 candidates to 11 candidates (61.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (fma 1 z (- (/ (* y t) (* 2.0 z))))))
4.8b	(/ y (fma 1 z (- (/ (* y t) (* 2.0 z)))))
5.0b	(/ (* y t) (* 2.0 z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 18

Calls

3 calls:

2.0ms	(- x (/ y (fma 1 z (- (/ (* y t) (* 2.0 z))))))
2.0ms	(/ y (fma 1 z (- (/ (* y t) (* 2.0 z)))))
4.0ms	(/ (* y t) (* 2.0 z))

series269.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- x (/ y (fma 1 z (- (/ (* y t) (* 2.0 z))))))
172.0ms	(/ y (fma 1 z (- (/ (* y t) (* 2.0 z)))))
29.0ms	(/ (* y t) (* 2.0 z))

simplify50.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 4 (47.0ms)

Iter	Nodes	Cost
0	108	114
1	249	113
2	742	112
3	2345	109
4	5001	106

prune63.0ms

Filtered

27 candidates to 20 candidates (74.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (fma 1 z (- (/ y (/ (* 2.0 z) t))))))
4.8b	(/ y (fma 1 z (- (/ y (/ (* 2.0 z) t)))))
5.9b	(/ y (/ (* 2.0 z) t))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 16

Calls

3 calls:

2.0ms	(- x (/ y (fma 1 z (- (/ y (/ (* 2.0 z) t))))))
2.0ms	(/ y (fma 1 z (- (/ y (/ (* 2.0 z) t)))))
4.0ms	(/ y (/ (* 2.0 z) t))

series270.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- x (/ y (fma 1 z (- (/ y (/ (* 2.0 z) t))))))
171.0ms	(/ y (fma 1 z (- (/ y (/ (* 2.0 z) t)))))
28.0ms	(/ y (/ (* 2.0 z) t))

simplify59.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 4 (56.0ms)

Iter	Nodes	Cost
0	96	108
1	268	107
2	793	103
3	2759	102
4	5002	98

prune55.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

regimes72.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	24	8
2	34	8
3	34	8

end0.0ms

sample520.0ms

Algorithm

intervals

Results

322.0ms

8000×

body

valid