Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify34.0ms

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: 9.0b

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))))
0.8b	(- (* (* z 2.0) z) (* y t))
17.4b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite18.0ms

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)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms	(- (* (* z 2.0) z) (* y t))
184.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify78.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 3 (74.0ms)

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

prune74.0ms

Filtered

38 candidates to 22 candidates (57.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))))
1.0b	(/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0)))))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 8

Calls

2 calls:

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

series76.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- x (/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0))))))
28.0ms	(/ 1 (fma 1 (/ z y) (* (- 1) (/ t (* z 2.0)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 4 (62.0ms)

Iter	Nodes	Cost
0	70	90
1	169	87
2	525	84
3	1700	77
4	5002	73

prune34.0ms

Filtered

14 candidates to 9 candidates (64.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (fma 1 z (- (/ (* y t) (* 2.0 z))))))
3.8b	(/ (* y t) (* 2.0 z))
6.7b	(/ y (fma 1 z (- (/ (* 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))))))
4.0ms	(/ (* y t) (* 2.0 z))
2.0ms	(/ y (fma 1 z (- (/ (* y t) (* 2.0 z)))))

series273.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- x (/ y (fma 1 z (- (/ (* y t) (* 2.0 z))))))
26.0ms	(/ (* y t) (* 2.0 z))
176.0ms	(/ y (fma 1 z (- (/ (* y t) (* 2.0 z)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 4 (48.0ms)

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

prune66.0ms

Filtered

27 candidates to 20 candidates (74.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	26	6	32

Merged error: 0.0b

Counts

32 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ y (fma 1 z (- (/ t (/ (* 2.0 z) y))))))
4.8b	(/ t (/ (* 2.0 z) y))
6.7b	(/ y (fma 1 z (- (/ t (/ (* 2.0 z) y)))))

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

series272.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- x (/ y (fma 1 z (- (/ t (/ (* 2.0 z) y))))))
27.0ms	(/ t (/ (* 2.0 z) y))
176.0ms	(/ y (fma 1 z (- (/ t (/ (* 2.0 z) y)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 4 (55.0ms)

Iter	Nodes	Cost
0	97	108
1	252	107
2	733	105
3	2684	101
4	5001	98

prune53.0ms

Filtered

25 candidates to 18 candidates (72.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	24	7	31

Merged error: 0b

Counts

31 → 7

regimes184.0ms

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

sample482.0ms

Algorithm

intervals

Results

292.0ms

8000×

body

valid