Details

Time bar (total: 968.0ms)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%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

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
11013

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
12×times-frac
log-prod distribute-lft-out
add-sqr-sqrt add-cube-cbrt
div-inv add-log-exp
pow1 add-exp-log log-div
distribute-rgt-out flip3-+ frac-add add-cbrt-cube flip-+
+-commutative rem-log-exp sum-log log-pow
Counts
2 → 37
Calls
2 calls:
20.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
17.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series18.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
6.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify55.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04959764
14959764

prune74.0ms

Filtered
36 candidates to 43 candidates (-19.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New42143
Fresh000
Picked011
Done000
Total42244

Merged error: 0b

Counts
44 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (sqrt (- 1.0 (* x x))))
0.2b
(+ (neg (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
distribute-lft-out
pow1 log-prod
log-pow add-log-exp
add-sqr-sqrt add-cube-cbrt associate-+r+ distribute-rgt-neg-in
associate-+l+ distribute-neg-in flip3-+ sum-log flip-+
add-exp-log +-commutative associate-+r- log-div add-cbrt-cube
neg-sub0 associate-+l- neg-log
Counts
2 → 40
Calls
2 calls:
5.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
13.0ms
(+ (neg (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

series17.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ 1.0 (sqrt (- 1.0 (* x x))))
13.0ms
(+ (neg (log x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))

simplify55.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04961689
14961689

prune71.0ms

Filtered
35 candidates to 46 candidates (-31.4%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New46046
Fresh000
Picked011
Done011
Total46248

Merged error: 0b

Counts
48 → 2

regimes90.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11013

end0.0ms

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%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

sample479.0ms

Algorithm
intervals
Results
393.0ms8000×body80valid
0.0msbody80nan

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