Details

sample250.0ms

Algorithm

intervals

Results

23.0ms	59×	body	1280	valid
15.0ms	60×	body	640	valid
7.0ms	97×	body	80	valid
5.0ms	29×	body	320	valid
4.0ms	87×	body	80	overflowed
1.0ms	11×	body	160	valid

simplify465.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5061	12

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 39.4b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0))
0.0b	(pow (exp x) 2.0)
3.4b	(- (pow (exp x) 2.0) 1.0)
3.4b	(- (exp x) 1.0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
35×	`times-frac`
30×	`difference-of-squares`
21×	`add-cube-cbrt`
16×	`distribute-lft-out--`
10×	`unpow-prod-down`
8×	`add-log-exp` `sqr-pow`
7×	`associate-/l*`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*`
4×	`flip3--` `pow-pow` `flip--`
3×	`pow-unpow` `exp-prod`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-sub` `div-exp` `pow-exp` `clear-num` `div-inv`

Counts

4 → 114

Calls

4 calls:

19.0ms	(/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0))
3.0ms	(pow (exp x) 2.0)
5.0ms	(- (pow (exp x) 2.0) 1.0)
6.0ms	(- (exp x) 1.0)

series42.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ (- (pow (exp x) 2.0) 1.0) (- (exp x) 1.0))
16.0ms	(pow (exp x) 2.0)
4.0ms	(- (pow (exp x) 2.0) 1.0)
11.0ms	(- (exp x) 1.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4968	1717
1	4968	1717

prune214.0ms

Filtered

90 candidates to 126 candidates (-40.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	2	127

Merged error: 0b

Counts

127 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (+ 2 (* x (* x 1/2))))
11.7b	(sqrt (+ x (+ 2 (* x (* x 1/2)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt` `sqrt-prod`
3×	`pow1` `add-cube-cbrt` `sum-log`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `associate-+r+` `sqrt-pow1` `pow1/2`

Counts

2 → 30

Calls

2 calls:

5.0ms	(+ x (+ 2 (* x (* x 1/2))))
4.0ms	(sqrt (+ x (+ 2 (* x (* x 1/2)))))

series8.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ x (+ 2 (* x (* x 1/2))))
5.0ms	(sqrt (+ x (+ 2 (* x (* x 1/2)))))

simplify37.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4998	474
1	4998	474

prune51.0ms

Filtered

26 candidates to 36 candidates (-38.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

38 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 2.0)
0.0b	(pow (exp x) 2)
3.4b	(- (pow (exp x) 2.0) 1.0)
3.4b	(- (pow (exp x) 2) (* 1.0 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`unpow-prod-down` `pow-pow` `add-log-exp`
7×	`difference-of-squares`
6×	`pow1` `pow-unpow` `exp-prod`
4×	`add-exp-log` `add-cbrt-cube` `sqr-pow`
2×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--` `unpow2`
1×	`distribute-lft-out--`

Counts

4 → 73

Calls

4 calls:

3.0ms	(pow (exp x) 2.0)
3.0ms	(pow (exp x) 2)
5.0ms	(- (pow (exp x) 2.0) 1.0)
5.0ms	(- (pow (exp x) 2) (* 1.0 1.0))

series27.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(pow (exp x) 2.0)
3.0ms	(pow (exp x) 2)
4.0ms	(- (pow (exp x) 2.0) 1.0)
4.0ms	(- (pow (exp x) 2) (* 1.0 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4997	610
1	4997	610

prune136.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Merged error: 0b

Counts

87 → 2

regimes34.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 20.9b

bsearch17.0ms

Steps

Iters	Range		Point
8	-2.7804654585538832e-05	-4.49934795699481e-10	-9.456159330324634e-06

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	35
1	28	35

end0.0ms

sample1.9s

Algorithm

intervals

Results

839.0ms	2292×	body	1280	valid
417.0ms	1729×	body	640	valid
131.0ms	2846×	body	80	valid
120.0ms	767×	body	320	valid
110.0ms	2585×	body	80	overflowed
46.0ms	416×	body	160	valid

Details

sample250.0ms

simplify465.0ms

prune10.0ms

localize11.0ms

rewrite40.0ms

series42.0ms

simplify71.0ms

prune214.0ms

localize6.0ms

rewrite9.0ms

series8.0ms

simplify37.0ms

prune51.0ms

localize12.0ms

rewrite18.0ms

series27.0ms

simplify54.0ms

prune136.0ms

regimes34.0ms

bsearch17.0ms

simplify1.0ms

end0.0ms

sample1.9s

Profiling