Details

Time bar (total: 1.9s)

analyze62.0ms

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

sample24.0ms

Algorithm
intervals
Results
11.0ms240×body80valid
3.0ms11×body640valid
2.0msbody1280valid
0.0msbody320valid
0.0msbody80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
059739

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:
3.0ms
(+ 1.0 (exp x))
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series21.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ 1.0 (exp x))
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
10.0ms
(log (+ 1.0 (exp x)))

simplify65.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04843504
14843504

prune88.0ms

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: 0.7b

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)))
1.4b
(log (sqrt (+ 1.0 (exp x))))
1.4b
(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))))

series33.0ms

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

prune151.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done000
Total84488

Merged error: 0.7b

Counts
88 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
0.0b
(+ x (+ 2.0 (* x (* x 1/2))))
8.5b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite17.0ms

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:
7.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
5.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series16.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
2.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify43.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05025866

prune104.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh022
Picked101
Done011
Total54559

Merged error: 0.7b

Counts
59 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ 2.0 (* x (* x 1/2))))
0.1b
(log (log (+ x (+ 2.0 (* x (* x 1/2))))))
0.3b
(exp (log (log (+ x (+ 2.0 (* x (* x 1/2)))))))
8.5b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod *-un-lft-identity
pow1 add-log-exp
add-sqr-sqrt add-cube-cbrt
add-exp-log
log-pow
exp-prod exp-sum add-cbrt-cube
sum-log
log-div flip3-+ rem-log-exp flip-+ distribute-lft-out
+-commutative associate-+r+ rem-exp-log
Counts
4 → 58
Calls
4 calls:
10.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
2.0ms
(log (log (+ x (+ 2.0 (* x (* x 1/2))))))
4.0ms
(exp (log (log (+ x (+ 2.0 (* x (* x 1/2)))))))
9.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series37.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
14.0ms
(log (log (+ x (+ 2.0 (* x (* x 1/2))))))
8.0ms
(exp (log (log (+ x (+ 2.0 (* x (* x 1/2)))))))
7.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049511054
149511054

prune120.0ms

Filtered
49 candidates to 70 candidates (-42.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68270
Fresh213
Picked011
Done011
Total70575

Merged error: 0.7b

Counts
75 → 5

regimes128.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03917
13917

end0.0ms

sample696.0ms

Algorithm
intervals
Results
346.0ms7350×body80valid
87.0ms272×body640valid
71.0ms125×body1280valid
32.0ms167×body320valid
10.0ms86×body160valid
2.0ms33×body80invalid
0.0msbody80overflowed

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