Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	6
1	24	6
2	28	6
3	28	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: 1.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

5×	`*-commutative`
4×	`prod-diff`
2×	`flip3--` `fma-neg` `associate-/r/` `flip--`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 18

Calls

3 calls:

3.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
4.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
4.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
53.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
67.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	201	183
1	590	177
2	1813	173
3	5002	160

prune56.0ms

Filtered

27 candidates to 19 candidates (70.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
0.4b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 30

Calls

4 calls:

6.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
6.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
5.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
6.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series210.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ x (/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)))
46.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
55.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
68.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify140.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	243	242
1	734	231
2	4412	221
3	5001	218

prune86.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 1.1283791670955126 (/ (exp z) y)) x)
0.1b	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
0.1b	(* 1.1283791670955126 (/ (exp z) y))
0.2b	(/ (exp z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 22

Calls

4 calls:

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

series140.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* 1.1283791670955126 (/ (exp z) y)) x)
62.0ms	(/ 1 (- (* 1.1283791670955126 (/ (exp z) y)) x))
21.0ms	(* 1.1283791670955126 (/ (exp z) y))
16.0ms	(/ (exp z) y)

simplify75.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	162	141
1	601	138
2	2863	134
3	5002	130

prune73.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	34	3	37

Merged error: 0b

Counts

37 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
6.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
25.0b	(/ (* (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))) (- x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))) (- x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/r/` `associate-/l/`
7×	`flip3--` `flip--`
4×	`frac-times` `frac-2neg` `clear-num` `div-inv`
3×	`flip3-+` `flip-+`
2×	`associate-r/` `associate-l/` `associate-/l*`
1×	`*-commutative`

Counts

4 → 30

Calls

4 calls:

5.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
5.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
4.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
8.0ms	(/ (* (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))) (- x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))) (- x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
67.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
69.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))
40.0ms	(/ (* (+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))) (- x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))) (- x (/ y (- (* 1.1283791670955126 (exp z)) (* x y)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	240	470
1	960	420
2	4594	411
3	5001	411

prune127.0ms

Filtered

42 candidates to 38 candidates (90.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	42	3	45

Merged error: 0b

Counts

45 → 3

regimes115.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample420.0ms

Algorithm

intervals

Results

250.0ms

8000×

body

valid