Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	124×	body	80	overflowed

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	5
1	7	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: 0.5b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:

7.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify86.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	139	307
1	427	287
2	1132	285
3	3865	285
4	5001	285

prune63.0ms

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: 0.5b

Counts

37 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- a (log (+ (exp a) (exp b)))))
2.2b	(- a (log (+ (exp a) (exp b))))
4.2b	(log (+ (exp a) (exp b)))

rewrite18.0ms

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)))

series118.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(exp (- a (log (+ (exp a) (exp b)))))
38.0ms	(- a (log (+ (exp a) (exp b))))
33.0ms	(log (+ (exp a) (exp b)))

simplify83.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 4 (77.0ms)

Iter	Nodes	Cost
0	208	474
1	447	441
2	984	426
3	3254	420
4	5002	417

prune126.0ms

Filtered

65 candidates to 44 candidates (67.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0.2b

Counts

68 → 4

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)))))

rewrite17.0ms

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)))
5.0ms	(- a (+ (log 2) (* 1/2 (+ a b))))
6.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

series124.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(+ (log 2) (* 1/2 (+ a b)))
35.0ms	(- a (+ (log 2) (* 1/2 (+ a b))))
51.0ms	(exp (- a (+ (log 2) (* 1/2 (+ a b)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	223	406
1	722	374
2	3946	357
3	5002	354

prune109.0ms

Filtered

59 candidates to 43 candidates (72.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	59	4	63

Merged error: 0.2b

Counts

63 → 4

localize9.0ms

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

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.2b

Counts

4 → 4

regimes86.0ms

Accuracy

0% (0.1b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

end0.0ms

sample491.0ms

Algorithm

intervals

Results

224.0ms	8000×	body	80	valid
94.0ms	3404×	body	80	overflowed

Details

sample20.0ms

simplify4.0ms

prune2.0ms

localize6.0ms

rewrite8.0ms

series36.0ms

simplify86.0ms

prune63.0ms

localize9.0ms

rewrite18.0ms

series118.0ms

simplify83.0ms

prune126.0ms

localize9.0ms

rewrite17.0ms

series124.0ms

simplify100.0ms

prune109.0ms

localize9.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes86.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample491.0ms

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