Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

323×

body

valid

simplify157.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (53.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	92	4
3	232	4
4	491	4
5	785	4
6	1115	4
7	1482	4
8	2218	3
9	3349	3
10	4819	3
11	5001	3

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

4.5b	(* (fma (- y 1.0) z 1.0) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`*-commutative`

Counts

1 → 1

Calls

1 calls:

2.0ms

(* (fma (- y 1.0) z 1.0) x)

series59.0ms

Counts

1 → 3

Calls

1 calls:

59.0ms

(* (fma (- y 1.0) z 1.0) x)

simplify120.0ms

Algorithm

egg-herbie

Counts

4 → 4

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	29	17
1	75	13
2	172	11
3	327	11
4	416	9
5	549	9
6	980	9
7	2284	9
8	4285	9
9	5001	9

prune9.0ms

Filtered

4 candidates to 3 candidates (75.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	3	2	5

Merged error: 4.7b

Counts

5 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* x z))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`sub-neg` `flip3--` `flip--`

Counts

1 → 4

Calls

1 calls:

2.0ms

(- x (* x z))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- x (* x z))

simplify100.0ms

Algorithm

egg-herbie

Counts

7 → 7

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	51	27
1	153	24
2	486	23
3	1121	22
4	3170	22
5	5001	22

prune14.0ms

Filtered

7 candidates to 3 candidates (42.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	5	4	9

Merged error: 4.7b

Counts

9 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* z (* x z)))
0.2b	(* z (* x z))
2.6b	(* x (- x (* z (* x z))))
25.1b	(/ (* x (- x (* z (* x z)))) (fma z x x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 21

Calls

4 calls:

2.0ms	(- x (* z (* x z)))
3.0ms	(* z (* x z))
3.0ms	(* x (- x (* z (* x z))))
5.0ms	(/ (* x (- x (* z (* x z)))) (fma z x x))

series311.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- x (* z (* x z)))
18.0ms	(* z (* x z))
92.0ms	(* x (- x (* z (* x z))))
134.0ms	(/ (* x (- x (* z (* x z)))) (fma z x x))

simplify85.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	116	131
1	406	125
2	2133	123
3	5003	123

prune73.0ms

Filtered

33 candidates to 19 candidates (57.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	31	6	37

Merged error: 4.7b

Counts

37 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* z (* x z)))
0.1b	(/ x (/ (fma z x x) (- x (* z (* x z)))))
0.2b	(* z (* x z))
7.7b	(/ (fma z x x) (- x (* z (* x z))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 21

Calls

4 calls:

2.0ms	(- x (* z (* x z)))
4.0ms	(/ x (/ (fma z x x) (- x (* z (* x z)))))
4.0ms	(* z (* x z))
4.0ms	(/ (fma z x x) (- x (* z (* x z))))

series256.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(- x (* z (* x z)))
134.0ms	(/ x (/ (fma z x x) (- x (* z (* x z)))))
19.0ms	(* z (* x z))
36.0ms	(/ (fma z x x) (- x (* z (* x z))))

simplify82.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	119	143
1	426	138
2	2056	135
3	5001	134

prune78.0ms

Filtered

33 candidates to 22 candidates (66.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	29	4	33
Fresh	1	1	2
Picked	1	0	1
Done	1	2	3
Total	32	7	39

Merged error: 4.7b

Counts

39 → 7

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 3.6b against oracle of 3.5b and baseline of 3.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample443.0ms

Algorithm

intervals

Results

239.0ms

10116×

body

valid