Details

analyze80.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	18.7%	12.6%	7
68.7%	12.5%	18.8%	8
68.7%	12.5%	18.8%	9
68.7%	9.4%	22%	10
68.7%	9.4%	22%	11
68.7%	7.8%	23.5%	12
68.7%	7.8%	23.5%	13
68.7%	7%	24.3%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	22×	body	80	overflowed

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4917	8
1	4917	8

prune3.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 45

Calls

2 calls:

6.0ms	(/ (exp a) (+ (exp a) (exp b)))
4.0ms	(+ (exp a) (exp b))

series20.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/ (exp a) (+ (exp a) (exp b)))
9.0ms	(+ (exp a) (exp b))

simplify69.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5772	541

prune56.0ms

Filtered

36 candidates to 51 candidates (-41.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	2	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0b

Counts

52 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`add-exp-log`
5×	`distribute-lft-out`
4×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `div-exp` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `sum-log` `div-inv` `inv-pow`

Counts

2 → 49

Calls

2 calls:

5.0ms	(+ 1 (exp (- b a)))
7.0ms	(/ 1 (+ 1 (exp (- b a))))

series11.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ 1 (exp (- b a)))
7.0ms	(/ 1 (+ 1 (exp (- b a))))

simplify63.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5447	550

prune57.0ms

Filtered

32 candidates to 55 candidates (-71.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	3	58

Merged error: 0b

Counts

58 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp a) (cbrt (pow (+ (exp a) (exp b)) 3)))
0.0b	(+ (exp a) (exp b))
0.0b	(cbrt (pow (+ (exp a) (exp b)) 3))
0.1b	(pow (+ (exp a) (exp b)) 3)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-prod` `*-un-lft-identity`
51×	`times-frac`
44×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`unpow-prod-down` `cube-prod`
17×	`associate-/r*`
13×	`distribute-lft-out`
6×	`add-exp-log` `cube-div` `cube-mult` `unpow3` `add-cbrt-cube` `add-log-exp` `sqr-pow`
5×	`pow1`
4×	`cbrt-div` `flip3-+` `flip-+`
3×	`pow-unpow` `associate-/l*`
2×	`associate-/r/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 149

Calls

4 calls:

10.0ms	(/ (exp a) (cbrt (pow (+ (exp a) (exp b)) 3)))
4.0ms	(+ (exp a) (exp b))
5.0ms	(cbrt (pow (+ (exp a) (exp b)) 3))
5.0ms	(pow (+ (exp a) (exp b)) 3)

series31.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ (exp a) (cbrt (pow (+ (exp a) (exp b)) 3)))
5.0ms	(+ (exp a) (exp b))
5.0ms	(cbrt (pow (+ (exp a) (exp b)) 3))
10.0ms	(pow (+ (exp a) (exp b)) 3)

simplify39.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4966	1952
1	4966	1952

prune129.0ms

Filtered

81 candidates to 161 candidates (-98.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	161	0	161
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	161	3	164

Merged error: 0b

Counts

164 → 3

regimes185.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	8
1	25	8

end0.0ms

sample395.0ms

Algorithm

intervals

Results

234.0ms	8000×	body	80	valid
18.0ms	677×	body	80	overflowed

Details

analyze80.0ms

sample16.0ms

simplify75.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series20.0ms

simplify69.0ms

prune56.0ms

localize6.0ms

rewrite13.0ms

series11.0ms

simplify63.0ms

prune57.0ms

localize8.0ms

rewrite31.0ms

series31.0ms

simplify39.0ms

prune129.0ms

regimes185.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample395.0ms

Profiling