Details

Time bar (total: 1.4s)

analyze17.0ms

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

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify643.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0717
1717

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt (- x 1.0)) (sqrt x))

rewrite12.0ms

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))

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(* (sqrt (- x 1.0)) (sqrt x))

simplify43.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05045370

prune68.0ms

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

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done011
Total033

Merged error: 0b

Counts
3 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (* (sqrt (- x 1.0)) (sqrt x)) 3)
0.4b
(* (sqrt (- x 1.0)) (sqrt x))
37.9b
(cbrt (pow (* (sqrt (- x 1.0)) (sqrt x)) 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
12×pow1 sqrt-prod
11×*-un-lft-identity
add-cube-cbrt
add-exp-log cbrt-prod associate-*l* add-cbrt-cube
sqrt-div associate-*r* pow-prod-down associate-*l/
cube-div pow-pow sqrt-pow1 pow1/2 unswap-sqr
pow-unpow flip3-- flip-- add-log-exp
cube-mult unpow-prod-down cbrt-div sqrt-unprod unpow3 cube-prod pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
pow-to-exp pow1/3 *-commutative sqrt-pow2 rem-cbrt-cube distribute-lft-out-- difference-of-squares
Counts
3 → 80
Calls
3 calls:
8.0ms
(pow (* (sqrt (- x 1.0)) (sqrt x)) 3)
8.0ms
(* (sqrt (- x 1.0)) (sqrt x))
6.0ms
(cbrt (pow (* (sqrt (- x 1.0)) (sqrt x)) 3))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(pow (* (sqrt (- x 1.0)) (sqrt x)) 3)
7.0ms
(* (sqrt (- x 1.0)) (sqrt x))
7.0ms
(cbrt (pow (* (sqrt (- x 1.0)) (sqrt x)) 3))

simplify55.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05015979

prune122.0ms

Filtered
60 candidates to 89 candidates (-48.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done022
Total89392

Merged error: 0b

Counts
92 → 3

regimes64.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample297.0ms

Algorithm
intervals
Results
213.0ms7994×body80valid
0.0msbody160valid
0.0msbody80nan

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