Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

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: 2.3b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 10

Calls

3 calls:

2.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
5.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify161.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	133	114
1	391	113
2	1201	111
3	4258	110
4	5001	110

prune49.0ms

Filtered

19 candidates to 13 candidates (68.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	14	5	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	5	20

Merged error: 1.5b

Counts

20 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 22

Calls

4 calls:

2.0ms	(* 1.1283791670955126 (exp z))
9.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
5.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series193.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
49.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
57.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
70.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify106.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	171	170
1	495	167
2	2662	159
3	5001	159

prune71.0ms

Filtered

34 candidates to 23 candidates (67.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	32	2	34
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	37	2	39

Merged error: 0b

Counts

39 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.0b	(/ (exp z) y)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 19

Calls

4 calls:

5.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
5.0ms	(/ (exp z) y)
5.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
3.0ms	(* 1.1283791670955126 (/ (exp z) y))

series141.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
19.0ms	(/ (exp z) y)
59.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
20.0ms	(* 1.1283791670955126 (/ (exp z) y))

simplify83.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	152	144
1	543	143
2	2633	139
3	5002	139

prune65.0ms

Filtered

31 candidates to 21 candidates (67.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.4b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 10

Calls

3 calls:

2.0ms	(* 1.1283791670955126 (exp z))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
5.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series143.0ms

Counts

3 → 9

Calls

3 calls:

17.0ms	(* 1.1283791670955126 (exp z))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
71.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify163.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	133	114
1	391	113
2	1201	111
3	4258	110
4	5001	110

prune42.0ms

Filtered

19 candidates to 13 candidates (68.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	19	2	21

Merged error: 0b

Counts

21 → 2

regimes73.0ms

Accuracy

0% (0.0b 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	15	6
1	15	6

end0.0ms

sample424.0ms

Algorithm

intervals

Results

257.0ms

8000×

body

valid