Details

Time bar (total: 2.0s)

analyze67.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
43.7%43.7%12.6%6
53.1%31.2%15.7%7
59.3%18.7%22%8
62.4%14%23.5%9
64.8%8.6%26.6%10
66%6.6%27.4%11
66.9%4.1%29%12
67.4%3.2%29.4%13
67.9%2%30.1%14

sample25.0ms

Algorithm
intervals
Results
11.0ms242×body80valid
3.0msbody1280valid
2.0msbody640valid
0.0msbody320valid
0.0msbody160valid
0.0msbody80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
059739

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.0b
(+ 1.0 (exp x))
0.7b
(log (+ 1.0 (exp x)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
log-prod
add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log log-div associate--l+
flip3-+ add-cbrt-cube flip-+ distribute-lft-out
associate--l-
+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log log-pow flip--
Counts
3 → 44
Calls
3 calls:
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (log (+ 1.0 (exp x))) (* x y))
2.0ms
(+ 1.0 (exp x))
11.0ms
(log (+ 1.0 (exp x)))

simplify69.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04843504
14843504

prune85.0ms

Filtered
39 candidates to 53 candidates (-35.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh000
Picked101
Done000
Total50454

Merged error: 0.4b

Counts
54 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (+ 1.0 (exp x)))
0.2b
(sqrt (+ 1.0 (exp x)))
1.2b
(log (sqrt (+ 1.0 (exp x))))
1.2b
(log (sqrt (+ 1.0 (exp x))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
16×sqrt-prod
14×log-prod
12×add-sqr-sqrt
10×pow1 add-cube-cbrt
sqrt-div
add-exp-log log-pow
log-div sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
rem-sqrt-square rem-log-exp
Counts
4 → 72
Calls
4 calls:
3.0ms
(sqrt (+ 1.0 (exp x)))
3.0ms
(sqrt (+ 1.0 (exp x)))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ 1.0 (exp x)))
4.0ms
(sqrt (+ 1.0 (exp x)))
13.0ms
(log (sqrt (+ 1.0 (exp x))))
13.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify34.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05046760

prune149.0ms

Filtered
56 candidates to 84 candidates (-50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83184
Fresh033
Picked101
Done000
Total84488

Merged error: 0.4b

Counts
88 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (* (log (cbrt (sqrt (+ 1.0 (exp x))))) 2) (log (cbrt (sqrt (+ 1.0 (exp x))))))
1.2b
(log (sqrt (+ 1.0 (exp x))))
1.6b
(log (cbrt (sqrt (+ 1.0 (exp x)))))
1.6b
(log (cbrt (sqrt (+ 1.0 (exp x)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
23×*-un-lft-identity
21×cbrt-prod
16×sqrt-prod
15×add-sqr-sqrt add-cube-cbrt
10×associate-+r+
pow1 log-div sqrt-div
add-exp-log log-pow
cbrt-div
flip3-+ flip-+ add-log-exp
add-cbrt-cube distribute-lft-out
rem-log-exp
associate-+r- pow1/3
+-commutative sqrt-pow1 pow1/2 sum-log
Counts
4 → 87
Calls
4 calls:
9.0ms
(+ (* (log (cbrt (sqrt (+ 1.0 (exp x))))) 2) (log (cbrt (sqrt (+ 1.0 (exp x))))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
5.0ms
(log (cbrt (sqrt (+ 1.0 (exp x)))))
5.0ms
(log (cbrt (sqrt (+ 1.0 (exp x)))))

series98.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* (log (cbrt (sqrt (+ 1.0 (exp x))))) 2) (log (cbrt (sqrt (+ 1.0 (exp x))))))
13.0ms
(log (sqrt (+ 1.0 (exp x))))
27.0ms
(log (cbrt (sqrt (+ 1.0 (exp x)))))
30.0ms
(log (cbrt (sqrt (+ 1.0 (exp x)))))

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049201151
149201151

prune249.0ms

Filtered
71 candidates to 99 candidates (-39.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done000
Total994103

Merged error: 0.4b

Counts
103 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (+ 2.0 (* x (* x 1/2))))
0.0b
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
6.8b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
add-log-exp
log-prod
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log log-div associate--l+
flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
associate--l-
+-commutative sub-neg associate-+r+ flip3-- diff-log rem-log-exp log-pow flip--
Counts
3 → 46
Calls
3 calls:
5.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
6.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
11.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify44.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05025866

prune81.0ms

Filtered
43 candidates to 55 candidates (-27.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh112
Picked101
Done011
Total55459

Merged error: 0.4b

Counts
59 → 4

regimes91.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04628
14628

end0.0ms

sample696.0ms

Algorithm
intervals
Results
350.0ms7357×body80valid
77.0ms250×body640valid
69.0ms124×body1280valid
31.0ms166×body320valid
12.0ms103×body160valid
2.0ms39×body80invalid
0.0msbody80overflowed

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