Details

Time bar (total: 2.1s)

analyze2.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1

sample35.0ms

Algorithm
intervals
Results
12.0ms51×body1280valid
8.0ms46×body640valid
4.0ms123×body80valid
2.0ms22×body320valid
1.0ms14×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0523810

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 30.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (+ 1.0 (exp (* -2.0 x))))
3.4b
(- (/ 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)

simplify51.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04993703
14993703

prune112.0ms

Filtered
41 candidates to 53 candidates (-29.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New51253
Fresh000
Picked101
Done000
Total52254

Merged error: 0b

Counts
54 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
0.1b
(* 0.33333333333333337 (pow x 3))
0.2b
(* 5.551115123125783e-17 (pow x 4))
7.6b
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sqr-pow
2×pow-to-exp diff-log pow-exp sum-log *-commutative cbrt-unprod
1×+-commutative cube-mult sub-neg flip3-- flip3-+ unpow3 flip-- flip-+ associate--r+
Counts
4 → 80
Calls
4 calls:
6.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
6.0ms
(* 0.33333333333333337 (pow x 3))
5.0ms
(* 5.551115123125783e-17 (pow x 4))
5.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

series22.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* 1.0 x) (+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3))))
4.0ms
(* 0.33333333333333337 (pow x 3))
4.0ms
(* 5.551115123125783e-17 (pow x 4))
9.0ms
(+ (* 5.551115123125783e-17 (pow x 4)) (* 0.33333333333333337 (pow x 3)))

simplify32.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04943921
14943921

prune127.0ms

Filtered
58 candidates to 92 candidates (-58.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done000
Total92294

Merged error: 0b

Counts
94 → 2

localize17.0ms

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))))
3.4b
(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

rewrite84.0ms

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))))
67.0ms
(- (/ (/ 2.0 (sqrt (+ 1.0 (pow (exp -2.0) x)))) (sqrt (+ 1.0 (exp (* -2.0 x))))) 1.0)

series36.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ 1.0 (exp (* -2.0 x))))
3.0ms
(pow (exp -2.0) x)
10.0ms
(/ 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)

simplify66.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049431465
149431465

prune238.0ms

Filtered
77 candidates to 112 candidates (-45.5%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done011
Total1122114

Merged error: 0b

Counts
114 → 2

regimes107.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.7b

bsearch37.0ms

Steps
ItersRangePoint
10
3.1151766460310113e-10
750121.5154984352
0.0009120015781827385
10
-0.011906680586735937
-1.9701598084782332e-20
-0.000908692476193801

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010843
110843

end0.0ms

sample999.0ms

Algorithm
intervals
Results
427.0ms1737×body1280valid
209.0ms1255×body640valid
131.0ms4069×body80valid
71.0ms632×body320valid
23.0ms307×body160valid

Profiling

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