Details

sample46.0ms

Algorithm

intervals

Results

31.0ms	85×	body	10240	exit
6.0ms	256×	body	80	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ (exp a) (+ (exp a) (exp b)))

rewrite9.0ms

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:

8.0ms

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify79.0ms

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

prune75.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
0.2b	(/ (+ (exp a) (exp b)) (exp a))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
92×	`*-un-lft-identity`
60×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`distribute-lft-out`
11×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`pow-flip` `flip3-+` `associate-/r/` `flip-+` `inv-pow`

Counts

2 → 121

Calls

2 calls:

12.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
14.0ms	(/ (+ (exp a) (exp b)) (exp a))

series62.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ 1 (/ (+ (exp a) (exp b)) (exp a)))
28.0ms	(/ (+ (exp a) (exp b)) (exp a))

simplify42.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	375	1347
1	1595	1214
2	5002	1117

prune177.0ms

Filtered

127 candidates to 62 candidates (48.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (sqrt (/ (+ (exp a) (exp b)) (exp a))))
0.2b	(/ (+ (exp a) (exp b)) (exp a))
0.2b	(/ (+ (exp a) (exp b)) (exp a))
0.3b	(/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a))))

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

3923×	`times-frac`
2363×	`*-un-lft-identity`
2032×	`sqrt-prod`
1585×	`add-sqr-sqrt` `add-cube-cbrt`
389×	`distribute-lft-out`
151×	`div-inv`
73×	`associate-/l*`
44×	`associate-/r*`
22×	`sqrt-div` `associate-/r/`
19×	`add-exp-log`
15×	`add-cbrt-cube`
13×	`pow1`
10×	`div-exp`
8×	`pow-flip`
6×	`cbrt-undiv` `pow-div`
5×	`sqrt-pow1` `pow1/2` `associate-/l/`
4×	`frac-2neg` `clear-num` `add-log-exp`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+` `inv-pow`

Counts

4 → 1447

Calls

4 calls:

64.0ms	(/ (/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (sqrt (/ (+ (exp a) (exp b)) (exp a))))
12.0ms	(/ (+ (exp a) (exp b)) (exp a))
13.0ms	(/ (+ (exp a) (exp b)) (exp a))
14.0ms	(/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a))))

series153.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a)))) (sqrt (/ (+ (exp a) (exp b)) (exp a))))
28.0ms	(/ (+ (exp a) (exp b)) (exp a))
28.0ms	(/ (+ (exp a) (exp b)) (exp a))
62.0ms	(/ 1 (sqrt (/ (+ (exp a) (exp b)) (exp a))))

simplify317.0ms

Algorithm

egg-herbie

Counts

1459 → 1459

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	3444	41409
1	5001	39102

prune2.2s

Filtered

1459 candidates to 497 candidates (34.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.2b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.9b against oracle of 0.8b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	6
1	11	6

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	3453×	body	10240	exit
187.0ms	8000×	body	80	valid