Details

sample51.0ms

Algorithm

intervals

Results

26.0ms	66×	body	10240	exit
10.0ms	271×	body	80	valid
2.0ms	8×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	6×	body	320	valid
1.0ms	7×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

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: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.3b	(log (+ 1.0 (exp x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-div`
3×	`flip3-+` `flip-+`
2×	`associate--l-`
1×	`+-commutative` `sub-neg` `flip3--` `flip--`

Counts

3 → 11

Calls

3 calls:

6.0ms	(- (log (+ 1.0 (exp x))) (* x y))
2.0ms	(+ 1.0 (exp x))
2.0ms	(log (+ 1.0 (exp x)))

series128.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
60.0ms	(log (+ 1.0 (exp x)))

simplify132.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	147	139
1	400	139
2	1172	136
3	4044	135
4	5001	135

prune44.0ms

Filtered

20 candidates to 13 candidates (65.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Merged error: 0.0b

Counts

21 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

0.0b

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

0.0b

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-+l+` `associate-+r+`
8×	`associate--l+`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`+-commutative`
2×	`flip3-+` `flip-+`
1×	`flip3--` `flip--`

Counts

3 → 28

Calls

3 calls:

9.0ms

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

4.0ms

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

7.0ms

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

series458.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms

(- (+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x)) (* x y))

328.0ms

(+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))))

57.0ms

(+ (+ (log 2.0) (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2))))) (* 0.5 x))

simplify110.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	222	362
1	804	345
2	3943	317
3	5001	317

prune92.0ms

Filtered

37 candidates to 25 candidates (67.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	37	2	39

Merged error: 0.0b

Counts

39 → 2

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (+ (* x (- 0.5 y)) (log 2.0)))
0.0b	(+ (* x (- 0.5 y)) (log 2.0))
0.0b	(* x (- 0.5 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 31

Calls

3 calls:

10.0ms	(+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (+ (* x (- 0.5 y)) (log 2.0)))
5.0ms	(+ (* x (- 0.5 y)) (log 2.0))
3.0ms	(* x (- 0.5 y))

series145.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ (* (pow x 2) (- 0.25 (/ 1/2 (pow 2.0 2)))) (+ (* x (- 0.5 y)) (log 2.0)))
37.0ms	(+ (* x (- 0.5 y)) (log 2.0))
37.0ms	(* x (- 0.5 y))

simplify39.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	315	458
1	1337	441
2	5002	421

prune93.0ms

Filtered

40 candidates to 24 candidates (60.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0.0b

Counts

42 → 2

regimes45.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

sample1.7s

Algorithm

intervals

Results

948.0ms	2318×	body	10240	exit
322.0ms	8409×	body	80	valid
64.0ms	127×	body	1280	valid
61.0ms	232×	body	640	valid
26.0ms	160×	body	320	valid
13.0ms	138×	body	160	valid