Details

Time bar (total: 2.6s)

analyze281.0ms

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

sample55.0ms

Algorithm
intervals
Results
16.0ms75×body2560nan
11.0ms79×body1280nan
10.0ms256×body80valid
6.0ms49×body640nan
2.0ms19×body320nan
1.0ms12×body160nan
0.0ms10×body80nan

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
052579

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (+ x (sqrt (- (* x x) 1.0))))
0.0b
(+ x (sqrt (- (* x x) 1.0)))
31.1b
(sqrt (- (* x x) 1.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-sqr-sqrt
pow1 add-cube-cbrt add-log-exp
add-exp-log log-prod sqrt-prod
add-cbrt-cube
log-div flip3-+ sqrt-div flip-+ distribute-lft-out
+-commutative rem-sqrt-square flip3-- sqrt-pow1 pow1/2 rem-log-exp sum-log log-pow flip-- difference-of-squares
Counts
3 → 43
Calls
3 calls:
6.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
6.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(sqrt (- (* x x) 1.0))

series17.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(log (+ x (sqrt (- (* x x) 1.0))))
5.0ms
(+ x (sqrt (- (* x x) 1.0)))
4.0ms
(sqrt (- (* x x) 1.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05188615

prune84.0ms

Filtered
43 candidates to 52 candidates (-20.9%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New51152
Fresh000
Picked011
Done000
Total51253

Merged error: 0b

Counts
53 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×sqrt-prod
12×*-un-lft-identity sqrt-div
associate-*r*
pow1 add-cube-cbrt
associate-*l*
add-exp-log
flip3-+ add-cbrt-cube flip-+ add-log-exp
frac-times unswap-sqr
log-prod flip3-- pow-prod-down flip--
log-div sqrt-pow1 pow1/2 associate-*r/ associate-*l/ difference-of-squares
+-commutative sqrt-unprod rem-log-exp prod-exp sum-log log-pow *-commutative cbrt-unprod distribute-lft-out distribute-lft-out--
Counts
3 → 67
Calls
3 calls:
3.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
2.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
13.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series36.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0)))))
15.0ms
(log (+ x (* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))))
12.0ms
(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify42.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049631255
149631255

prune154.0ms

Filtered
57 candidates to 76 candidates (-33.3%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done011
Total76278

Merged error: 0b

Counts
78 → 2

regimes78.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314

end0.0ms

sample1.7s

Algorithm
intervals
Results
549.0ms2913×body2560nan
376.0ms2440×body1280nan
313.0ms8000×body80valid
155.0ms1245×body640nan
57.0ms623×body320nan
20.0ms320×body160nan
12.0ms302×body80nan

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