Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample36.0ms

Algorithm

intervals

Results

15.0ms	62×	body	1280	valid
6.0ms	35×	body	640	valid
4.0ms	127×	body	80	valid
3.0ms	23×	body	320	valid
1.0ms	9×	body	160	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5238	10

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 30.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (exp (* -2.0 x)))
0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.1b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
13×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
4×	`associate-/r*`
3×	`pow1` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `sum-log` `flip--` `div-inv` `distribute-lft-out--`

Counts

3 → 59

Calls

3 calls:

6.0ms	(+ 1.0 (exp (* -2.0 x)))
5.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
10.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

series15.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+ 1.0 (exp (* -2.0 x)))
5.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify51.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5224	834

prune138.0ms

Filtered

53 candidates to 68 candidates (-28.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp -2.0) x)
2.1b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
2.1b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
2.1b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-log-exp`
7×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`pow1`
4×	`add-exp-log` `pow-pow` `add-cbrt-cube`
3×	`sub-neg` `unpow-prod-down` `pow-unpow` `exp-prod` `flip3--` `times-frac` `diff-log` `flip--` `distribute-lft-out--`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 62

Calls

4 calls:

3.0ms	(pow (exp -2.0) x)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

series35.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow (exp -2.0) x)
10.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
10.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
12.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

simplify66.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4891	921
1	4891	921

prune249.0ms

Filtered

53 candidates to 74 candidates (-39.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	74	3	77

Merged error: 0.0b

Counts

77 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (exp -2.0) x)
2.1b	(- (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) (pow 1.0 3))
2.1b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
2.1b	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
28×	`difference-of-squares`
21×	`unpow-prod-down` `*-un-lft-identity`
18×	`cube-prod`
11×	`sqr-pow`
10×	`times-frac` `add-log-exp`
7×	`add-cube-cbrt` `distribute-lft-out--`
5×	`pow1`
4×	`add-exp-log` `pow-pow` `add-cbrt-cube`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3--` `diff-log` `flip--`
1×	`difference-cubes` `pow-to-exp` `pow-exp`

Counts

4 → 89

Calls

4 calls:

3.0ms	(pow (exp -2.0) x)
34.0ms	(- (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) (pow 1.0 3))
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow (exp -2.0) x)
17.0ms	(- (pow (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 3) (pow 1.0 3))
10.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)
11.0ms	(- (/ 2.0 (+ 1.0 (pow (exp -2.0) x))) 1.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5095	1765

prune523.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	101	3	104

Merged error: 0.0b

Counts

104 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
0.3b	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
0.3b	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
2.1b	(- (* (* (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x)))) (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))) (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))) 1.0)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-prod`
46×	`*-un-lft-identity`
36×	`times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`distribute-lft-out`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`cbrt-div` `flip3-+` `pow1/3` `flip-+` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 92

Calls

4 calls:

6.0ms	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
6.0ms	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
6.0ms	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
26.0ms	(- (* (* (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x)))) (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))) (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))) 1.0)

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
26.0ms	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
29.0ms	(cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))
16.0ms	(- (* (* (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x)))) (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))) (cbrt (/ 2.0 (+ 1.0 (pow (exp -2.0) x))))) 1.0)

simplify61.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4917	1635
1	4917	1635

prune346.0ms

Filtered

80 candidates to 104 candidates (-30.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

regimes143.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.5b

bsearch44.0ms

Steps

Iters	Range		Point
9	1.2384023336573908e-12	0.003586657482361891	0.0006575528516900341
12	-1.1502668124216276e+21	-4.0091747030897357e-19	-0.0008260042363517994

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	124	85
1	124	85

end0.0ms

sample994.0ms

Algorithm

intervals

Results

408.0ms	1649×	body	1280	valid
216.0ms	1293×	body	640	valid
136.0ms	4068×	body	80	valid
73.0ms	643×	body	320	valid
26.0ms	347×	body	160	valid

Details

analyze2.0ms

sample36.0ms

simplify72.0ms

prune6.0ms

localize6.0ms

rewrite23.0ms

series15.0ms

simplify51.0ms

prune138.0ms

localize16.0ms

rewrite39.0ms

series35.0ms

simplify66.0ms

prune249.0ms

localize25.0ms

rewrite62.0ms

series43.0ms

simplify61.0ms

prune523.0ms

localize15.0ms

rewrite47.0ms

series97.0ms

simplify61.0ms

prune346.0ms

regimes143.0ms

bsearch44.0ms

simplify2.0ms

end0.0ms

sample994.0ms

Profiling