Details

analyze2.0ms

Algorithm

Search

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

sample42.0ms

Algorithm

intervals

Results

20.0ms	61×	body	1280	valid
8.0ms	40×	body	640	valid
5.0ms	134×	body	80	valid
2.0ms	15×	body	320	valid
0.0ms	6×	body	160	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

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: 28.4b

Counts

2 → 1

localize7.0ms

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)

rewrite20.0ms

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:

3.0ms	(+ 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)

series16.0ms

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)

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5224	834

prune132.0ms

Filtered

53 candidates to 68 candidates (-28.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	2	69

Merged error: 0.0b

Counts

69 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 (exp (* -2.0 x))))
0.0b	(pow (exp -2.0) x)
0.5b	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
2.1b	(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
31×	`times-frac`
25×	`sqrt-prod`
24×	`add-cube-cbrt`
7×	`associate-/r*` `difference-of-squares`
6×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`distribute-lft-out`
4×	`pow-pow` `sqrt-div`
3×	`unpow-prod-down` `pow-unpow` `exp-prod` `associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `pow-to-exp` `sub-neg` `rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `diff-log` `div-exp` `pow-exp` `clear-num` `flip--` `div-inv` `distribute-lft-out--` `sqr-pow`

Counts

4 → 100

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
3.0ms	(pow (exp -2.0) x)
7.0ms	(/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x))))
64.0ms	(- (/ (/ 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:

4.0ms	(sqrt (+ 1.0 (exp (* -2.0 x))))
3.0ms	(pow (exp -2.0) x)
14.0ms	(/ 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)

simplify68.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4943	1465
1	4943	1465

prune235.0ms

Filtered

77 candidates to 112 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	112	2	114

Merged error: 0.0b

Counts

114 → 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:

4.0ms	(- (* 1.0 x) (* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337)))
8.0ms	(* (pow x 3) (+ (* x 5.551115123125783e-17) 0.33333333333333337))

series13.0ms

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))

simplify50.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5070	688

prune66.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0.0b

Counts

56 → 2

regimes115.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 30.0b

bsearch32.0ms

Steps

Iters	Range		Point
10	2.5617212714567043e-10	6608384.6443821965	0.0011240703999674728
9	-0.01679478856320668	-8.225074338470545e-12	-0.0009742576824898219

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	106	41
1	106	41

end0.0ms

sample1.0s

Algorithm

intervals

Results

449.0ms	1757×	body	1280	valid
217.0ms	1250×	body	640	valid
140.0ms	4076×	body	80	valid
73.0ms	625×	body	320	valid
22.0ms	292×	body	160	valid

Details

analyze2.0ms

sample42.0ms

simplify74.0ms

prune6.0ms

localize7.0ms

rewrite20.0ms

series16.0ms

simplify52.0ms

prune132.0ms

localize16.0ms

rewrite81.0ms

series39.0ms

simplify68.0ms

prune235.0ms

localize8.0ms

rewrite13.0ms

series13.0ms

simplify50.0ms

prune66.0ms

regimes115.0ms

bsearch32.0ms

simplify2.0ms

end0.0ms

sample1.0s

Profiling