Details

analyze11.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify767.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4900	7
1	4900	7

prune4.0ms

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: 0.3b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1.0 x) 1.0)
0.2b	(log (- (/ 1.0 x) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`log-prod`
4×	`add-log-exp` `difference-of-squares`
3×	`pow1` `add-exp-log` `add-cube-cbrt`
2×	`log-div` `flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
1×	`sub-neg` `diff-log` `rem-log-exp` `log-pow`

Counts

2 → 31

Calls

2 calls:

7.0ms	(- (/ 1.0 x) 1.0)
8.0ms	(log (- (/ 1.0 x) 1.0))

series16.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(- (/ 1.0 x) 1.0)
12.0ms	(log (- (/ 1.0 x) 1.0))

simplify43.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4924	373
1	4924	373

prune82.0ms

Filtered

28 candidates to 37 candidates (-32.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	36	1	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	2	38

Merged error: 0b

Counts

38 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
0.0b	(+ (log (+ (sqrt 1.0) (/ (sqrt 1.0) (sqrt x)))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
0.3b	(/ (sqrt 1.0) (sqrt x))
0.3b	(/ (sqrt 1.0) (sqrt x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

119×	`add-sqr-sqrt`
110×	`sqrt-prod`
88×	`times-frac`
73×	`*-un-lft-identity`
63×	`add-cube-cbrt`
32×	`log-prod`
20×	`difference-of-squares`
14×	`associate-+r+`
12×	`associate-/r` `associate-/l`
9×	`pow1` `add-exp-log`
8×	`add-cbrt-cube`
6×	`log-div`
5×	`log-pow` `distribute-lft-out`
4×	`associate-+l+` `add-log-exp`
2×	`cbrt-undiv` `associate-+l-` `associate-+r-` `sqrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `distribute-lft-out--`
1×	`+-commutative` `rem-log-exp` `sum-log`

Counts

4 → 184

Calls

4 calls:

20.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
35.0ms	(+ (log (+ (sqrt 1.0) (/ (sqrt 1.0) (sqrt x)))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
5.0ms	(/ (sqrt 1.0) (sqrt x))
6.0ms	(/ (sqrt 1.0) (sqrt x))

series54.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
25.0ms	(+ (log (+ (sqrt 1.0) (/ (sqrt 1.0) (sqrt x)))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
9.0ms	(/ (sqrt 1.0) (sqrt x))
10.0ms	(/ (sqrt 1.0) (sqrt x))

simplify54.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4990	2650
1	4990	2650

prune404.0ms

Filtered

112 candidates to 196 candidates (-75.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	196	2	198

Merged error: 0b

Counts

198 → 2

regimes148.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	83	20
1	83	20

end0.0ms

sample361.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
0.0ms	6×	body	80	nan

Details

analyze11.0ms

sample17.0ms

simplify767.0ms

prune4.0ms

localize9.0ms

rewrite17.0ms

series16.0ms

simplify43.0ms

prune82.0ms

localize13.0ms

rewrite73.0ms

series54.0ms

simplify54.0ms

prune404.0ms

regimes148.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample361.0ms

Profiling