Details

Time bar (total: 2.8s)

analyze321.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%50%25%4
25%37.5%37.5%5
25%31.2%43.8%6
25%28.1%46.9%7
25%26.5%48.5%8
25%25.8%49.2%9
25%25.4%49.6%10
25%25.2%49.8%11
25%25.1%49.9%12
25%25%50%13
25%25%50%14

sample59.0ms

Algorithm
intervals
Results
19.0ms97×body2560nan
11.0ms70×body1280nan
10.0ms256×body80valid
6.0ms44×body640nan
2.0ms16×body320nan
1.0ms14×body160nan
0.0ms15×body80nan

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
052579

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.4b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) 1.0)
0.0b
(+ x (sqrt (- (* x x) 1.0)))
28.4b
(sqrt (- (* x x) 1.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-log-exp
*-un-lft-identity
pow1 add-cube-cbrt sqrt-prod
add-exp-log add-cbrt-cube
flip3-- sqrt-div flip-- difference-of-squares
+-commutative sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log sum-log flip-+ distribute-lft-out
Counts
3 → 40
Calls
3 calls:
4.0ms
(- (* x x) 1.0)
6.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(sqrt (- (* x x) 1.0))

series13.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(- (* x x) 1.0)
5.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(sqrt (- (* x x) 1.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04975467
14975467

prune74.0ms

Filtered
40 candidates to 49 candidates (-22.5%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New48149
Fresh000
Picked011
Done000
Total48250

Merged error: 0b

Counts
50 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (sqrt 1.0)))
0.0b
(sqrt (- x (sqrt 1.0)))
0.0b
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
0.5b
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×sqrt-prod
18×*-un-lft-identity
16×sqrt-div
10×pow1 add-cube-cbrt
associate-*r*
associate-*l*
add-exp-log add-cbrt-cube add-log-exp
flip3-+ flip-+
frac-times flip3-- sqrt-pow1 pow1/2 flip-- difference-of-squares unswap-sqr
pow-prod-down
rem-sqrt-square associate-*r/ associate-*l/ distribute-lft-out distribute-lft-out--
+-commutative sqrt-unprod prod-exp sum-log *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
4.0ms
(sqrt (+ x (sqrt 1.0)))
4.0ms
(sqrt (- x (sqrt 1.0)))
4.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
14.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series28.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ x (sqrt 1.0)))
4.0ms
(sqrt (- x (sqrt 1.0)))
8.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
11.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify43.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050651359

prune221.0ms

Filtered
74 candidates to 99 candidates (-33.8%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done011
Total992101

Merged error: 0b

Counts
101 → 2

regimes82.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02314
12314

end0.0ms

sample1.8s

Algorithm
intervals
Results
582.0ms2984×body2560nan
403.0ms2455×body1280nan
324.0ms8000×body80valid
150.0ms1182×body640nan
57.0ms597×body320nan
20.0ms294×body160nan
10.0ms299×body80nan

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