Details

analyze2.0ms

Algorithm

Search

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

sample37.0ms

Algorithm

intervals

Results

15.0ms	56×	body	1280	valid
8.0ms	49×	body	640	valid
4.0ms	125×	body	80	valid
2.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4797	10
1	4797	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: 30.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
2.5b	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
8.0ms	(- (/ 2.0 (+ 1.0 (exp (* -2.0 x)))) 1.0)

simplify60.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5137	701

prune120.0ms

Filtered

41 candidates to 53 candidates (-29.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	52	2	54

Merged error: 0b

Counts

54 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
0.1b	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-l`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r` `prod-exp`
2×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate--r+` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `diff-log` `unpow3` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+`

Counts

2 → 48

Calls

2 calls:

3.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
8.0ms	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
8.0ms	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

simplify33.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5219	694

prune76.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	54	2	56

Merged error: 0b

Counts

56 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(sqrt (+ 1.0 (pow (exp -2.0) x)))
0.2b	(sqrt (+ 1.0 (exp (* -2.0 x))))
0.5b	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
2.5b	(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
29×	`sqrt-prod`
22×	`add-cube-cbrt`
7×	`associate-/r*` `difference-of-squares`
6×	`pow1` `add-exp-log` `sqrt-div` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--`

Counts

4 → 96

Calls

4 calls:

5.0ms	(sqrt (+ 1.0 (pow (exp -2.0) x)))
3.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
7.0ms	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
71.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series39.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(sqrt (+ 1.0 (pow (exp -2.0) x)))
4.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
11.0ms	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
18.0ms	(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5019	1518

prune254.0ms

Filtered

74 candidates to 108 candidates (-45.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	108	2	110

Merged error: 0b

Counts

110 → 2

regimes126.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.9b

bsearch75.0ms

Steps

Iters	Range		Point
12	2.543805344785906e-22	8.791628025053325e+21	0.0010695037569993676
10	-370.05835186421723	-1.33745207106976e-13	-0.0011190180527461896

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	41
1	40	41

end0.0ms

analyze1.0ms

Algorithm

Search

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

sample1.0s

Algorithm

intervals

Results

430.0ms	1703×	body	1280	valid
211.0ms	1264×	body	640	valid
134.0ms	4095×	body	80	valid
72.0ms	611×	body	320	valid
24.0ms	327×	body	160	valid

Details

analyze2.0ms

sample37.0ms

simplify52.0ms

prune6.0ms

localize7.0ms

rewrite17.0ms

series14.0ms

simplify60.0ms

prune120.0ms

localize8.0ms

rewrite13.0ms

series14.0ms

simplify33.0ms

prune76.0ms

localize16.0ms

rewrite90.0ms

series39.0ms

simplify44.0ms

prune254.0ms

regimes126.0ms

bsearch75.0ms

simplify1.0ms

end0.0ms

analyze1.0ms

sample1.0s

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