Details

sample105.0ms

Algorithm

intervals

Results

77.0ms	131×	body	10240	exit
10.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune3.0ms

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: 0.5b

Counts

2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.5b	(/ (exp a) (+ (exp a) (exp b)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`associate-/r*` `distribute-lft-out`
3×	`add-cbrt-cube` `associate-/l*`
2×	`add-exp-log` `associate-/r/`
1×	`pow1` `cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

12.0ms

(/ (exp a) (+ (exp a) (exp b)))

series51.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(/ (exp a) (+ (exp a) (exp b)))

simplify80.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	139	307
1	427	287
2	1160	285
3	3893	285
4	5002	285

prune61.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	3	37

Merged error: 0.2b

Counts

37 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
0.2b	(- a (log (+ (exp a) (exp b))))
2.3b	(log (+ (exp a) (exp b)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`log-prod`
6×	`pow1` `add-cube-cbrt` `log-div` `exp-prod` `add-log-exp`
4×	`add-exp-log` `exp-sum` `associate--r+` `distribute-lft-out--` `associate--r-`
3×	`flip3-+` `log-pow` `add-cbrt-cube` `flip-+`
2×	`sub-neg` `diff-log` `rem-exp-log` `distribute-lft-out` `difference-of-squares`
1×	`flip3--` `exp-diff` `rem-log-exp` `flip--`

Counts

3 → 56

Calls

3 calls:

5.0ms	(exp (- a (log (+ (exp a) (exp b)))))
7.0ms	(- a (log (+ (exp a) (exp b))))
4.0ms	(log (+ (exp a) (exp b)))

series116.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(exp (- a (log (+ (exp a) (exp b)))))
36.0ms	(- a (log (+ (exp a) (exp b))))
32.0ms	(log (+ (exp a) (exp b)))

simplify79.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (74.0ms)

Iter	Nodes	Cost
0	208	474
1	445	439
2	977	425
3	3244	421
4	5001	419

prune126.0ms

Filtered

65 candidates to 44 candidates (67.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log 2) (* 1/2 (+ a b)))
0.0b	(- a (+ (log 2) (* 1/2 (+ a b))))
0.0b	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp`
9×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `exp-prod`
4×	`diff-log`
3×	`pow1` `add-exp-log` `associate-+l+` `log-prod` `sum-log` `add-cbrt-cube` `rem-exp-log`
2×	`sub-neg` `associate-+r+` `exp-sum` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `distribute-rgt-in` `flip3--` `distribute-lft-in` `flip3-+` `exp-diff` `flip--` `flip-+` `associate--r+`

Counts

3 → 50

Calls

3 calls:

4.0ms	(+ (log 2) (* 1/2 (+ a b)))
6.0ms	(- a (+ (log 2) (* 1/2 (+ a b))))
7.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

series123.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (log 2) (* 1/2 (+ a b)))
36.0ms	(- a (+ (log 2) (* 1/2 (+ a b))))
51.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	223	406
1	720	373
2	3940	361
3	5002	358

prune103.0ms

Filtered

59 candidates to 43 candidates (72.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(exp (- (* 1/2 (- a b)) (log 2)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`exp-sum`
4×	`associate--l+`
3×	`sub-neg` `exp-prod` `add-log-exp`
2×	`distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `rem-exp-log`
1×	`pow1` `add-exp-log` `exp-diff` `diff-log` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

8.0ms

(exp (- (* 1/2 (- a b)) (log 2)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(exp (- (* 1/2 (- a b)) (log 2)))

simplify97.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 4 (94.0ms)

Iter	Nodes	Cost
0	94	145
1	206	129
2	664	119
3	3135	113
4	5002	106

prune32.0ms

Filtered

22 candidates to 13 candidates (59.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	22	2	24

Merged error: 0b

Counts

24 → 2

regimes66.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3422×	body	10240	exit
201.0ms	8000×	body	80	valid