Details

sample31.0ms

Algorithm

intervals

Results

9.0ms	258×	body	80	valid
8.0ms	274×	body	80	nan

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

Iter	Nodes	Cost
0	21	6
1	63	6
2	212	6
3	725	5
4	1882	5
5	3231	5
6	4574	5
7	5001	5

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.1b

Counts

2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (- (fma (log y) (+ y 0.5) z) y))
0.1b	(- (fma (log y) (+ y 0.5) z) y)
0.1b	(fma (log y) (+ y 0.5) z)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

3×	`sub-neg` `fma-udef` `associate--r+`
2×	`flip3--` `associate--l+` `flip--`
1×	`associate--r-`

Counts

3 → 14

Calls

3 calls:

2.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
2.0ms	(- (fma (log y) (+ y 0.5) z) y)
1.0ms	(fma (log y) (+ y 0.5) z)

series123.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- x (- (fma (log y) (+ y 0.5) z) y))
41.0ms	(- (fma (log y) (+ y 0.5) z) y)
36.0ms	(fma (log y) (+ y 0.5) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	214	159
1	724	152
2	3380	143
3	5001	142

prune52.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	23	2	25

Merged error: 0.1b

Counts

25 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (+ (* (log y) (+ y 0.5)) (- z y)))
0.1b	(+ (* (log y) (+ y 0.5)) (- z y))
0.1b	(* (log y) (+ y 0.5))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`+-commutative` `associate-+l+` `associate--r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
4×	`associate-+r+` `flip3-+` `frac-add` `flip-+`
3×	`sub-neg` `flip3--` `flip--`
2×	`associate-+r-` `fma-def` `*-commutative`
1×	`associate--r-`

Counts

3 → 36

Calls

3 calls:

4.0ms	(- x (+ (* (log y) (+ y 0.5)) (- z y)))
6.0ms	(+ (* (log y) (+ y 0.5)) (- z y))
3.0ms	(* (log y) (+ y 0.5))

series335.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(- x (+ (* (log y) (+ y 0.5)) (- z y)))
48.0ms	(+ (* (log y) (+ y 0.5)) (- z y))
234.0ms	(* (log y) (+ y 0.5))

simplify43.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	444	311
1	1745	290
2	5001	284

prune122.0ms

Filtered

45 candidates to 36 candidates (80.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Merged error: 0.1b

Counts

47 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (+ (* y (log y)) (fma 0.5 (log y) (- z y))))
0.1b	(+ (* y (log y)) (fma 0.5 (log y) (- z y)))
0.2b	(* y (log y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate--r+`
2×	`+-commutative` `associate-+r+` `fma-def` `*-commutative` `fma-udef`
1×	`sub-neg` `flip3--` `flip3-+` `flip--` `flip-+`

Counts

3 → 14

Calls

3 calls:

2.0ms	(- x (+ (* y (log y)) (fma 0.5 (log y) (- z y))))
4.0ms	(+ (* y (log y)) (fma 0.5 (log y) (- z y)))
2.0ms	(* y (log y))

series284.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- x (+ (* y (log y)) (fma 0.5 (log y) (- z y))))
51.0ms	(+ (* y (log y)) (fma 0.5 (log y) (- z y)))
178.0ms	(* y (log y))

simplify79.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	237	168
1	746	161
2	3369	147
3	5001	145

prune64.0ms

Filtered

23 candidates to 17 candidates (73.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.1b

Counts

27 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma (log (/ 1 y)) y y) (- x z))
0.3b	(fma (log (/ 1 y)) y y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

2×	`associate-+r+` `fma-udef`
1×	`+-commutative` `associate-+r-` `sub-neg` `associate-+l+` `flip3-+` `flip-+`

Counts

2 → 8

Calls

2 calls:

3.0ms	(+ (fma (log (/ 1 y)) y y) (- x z))
1.0ms	(fma (log (/ 1 y)) y y)

series243.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (fma (log (/ 1 y)) y y) (- x z))
199.0ms	(fma (log (/ 1 y)) y y)

simplify47.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 3 (44.0ms)

Iter	Nodes	Cost
0	129	87
1	391	80
2	2132	76
3	5002	74

prune37.0ms

Filtered

14 candidates to 11 candidates (78.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Merged error: 0.1b

Counts

18 → 4

regimes63.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample831.0ms

Algorithm

intervals

Results

282.0ms	8032×	body	80	valid
225.0ms	7931×	body	80	nan
0.0ms	1×	body	160	valid