Details

Time bar (total: 1.5s)

analyze10.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify656.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0777
1777

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×sqrt-prod
associate-*l*
*-un-lft-identity
associate-*r*
pow1 add-cube-cbrt
unswap-sqr
add-exp-log pow-prod-down add-cbrt-cube
sqrt-pow1 pow1/2 sqrt-div associate-*l/
flip3-- sqrt-unprod prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 34
Calls
1 calls:
10.0ms
(* (sqrt (- x 1.0)) (sqrt x))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify42.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04947368
14947368

prune76.0ms

Filtered
25 candidates to 37 candidates (-48.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New35237
Fresh000
Picked011
Done000
Total35338

Merged error: 0b

Counts
38 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 0.5 (/ 0.125 x))
0.0b
(- x (+ 0.5 (/ 0.125 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity add-log-exp
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ associate--r+ difference-of-squares
Counts
2 → 28
Calls
2 calls:
6.0ms
(+ 0.5 (/ 0.125 x))
11.0ms
(- x (+ 0.5 (/ 0.125 x)))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ 0.5 (/ 0.125 x))
2.0ms
(- x (+ 0.5 (/ 0.125 x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04890308
14890308

prune38.0ms

Filtered
22 candidates to 34 candidates (-54.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh011
Picked011
Done011
Total34337

Merged error: 0b

Counts
37 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

31.6b
(sqrt (* x (- x 1.0)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
pow1
sqrt-pow1 sqrt-div associate-*r/
add-exp-log add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/2 pow-prod-down sqrt-prod add-cbrt-cube flip-- add-log-exp
Counts
1 → 13
Calls
1 calls:
5.0ms
(sqrt (* x (- x 1.0)))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(sqrt (* x (- x 1.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04940139
14940139

prune24.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319

Merged error: 0b

Counts
19 → 3

regimes68.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0427
1427

end0.0ms

sample337.0ms

Algorithm
intervals
Results
243.0ms7995×body80valid
0.0msbody160valid
0.0msbody80nan

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