Details

Time bar (total: 1.7s)

analyze68.0ms

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
10.0ms235×body80valid
3.0ms4×body1280valid
2.0ms7×body640valid
1.0ms5×body320valid
1.0ms5×body160valid
0.0ms3×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0109
1109

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.0b
(+ 1.0 (exp x))
0.6b
(log (+ 1.0 (exp x)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
8×log-prod
6×add-log-exp
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-commutative sub-neg flip3-- diff-log rem-log-exp sum-log log-pow flip--
Counts
3 → 44
Calls
3 calls:
5.0ms
(- (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:
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
2.0ms
(+ 1.0 (exp x))
11.0ms
(log (+ 1.0 (exp x)))

simplify47.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04916504
14916504

prune77.0ms

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: 0.2b

Counts
54 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
1.3b
(log (sqrt (+ 1.0 (exp x))))
1.3b
(log (sqrt (+ 1.0 (exp x))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×log-prod
8×pow1 add-sqr-sqrt add-cube-cbrt sqrt-prod add-log-exp
6×add-exp-log log-pow
4×log-div flip3-+ sqrt-div add-cbrt-cube flip-+ distribute-lft-out
2×+-commutative sqrt-pow1 pow1/2 rem-log-exp sum-log
Counts
4 → 64
Calls
4 calls:
3.0ms
(+ 1.0 (exp x))
3.0ms
(+ 1.0 (exp x))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ 1.0 (exp x))
2.0ms
(+ 1.0 (exp x))
13.0ms
(log (sqrt (+ 1.0 (exp x))))
14.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05012642

prune124.0ms

Filtered
52 candidates to 76 candidates (-46.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New76076
Fresh033
Picked011
Done000
Total76480

Merged error: 0.2b

Counts
80 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 2.0 (* x (* x 1/2)))
0.0b
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
0.0b
(+ x (+ 2.0 (* x (* x 1/2))))
7.8b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity add-log-exp
8×log-prod
6×add-sqr-sqrt add-cube-cbrt
5×pow1 add-exp-log
4×log-div flip3-+ associate--l+ sum-log add-cbrt-cube flip-+
3×distribute-lft-out
2×+-commutative associate--l-
1×sub-neg associate-+r+ flip3-- diff-log rem-log-exp log-pow flip--
Counts
4 → 57
Calls
4 calls:
3.0ms
(+ 2.0 (* x (* x 1/2)))
6.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
4.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series21.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 2.0 (* x (* x 1/2)))
9.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05628995

prune100.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh022
Picked101
Done011
Total69473

Merged error: 0.2b

Counts
73 → 4

localize16.0ms

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)))))))
7.8b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×log-prod *-un-lft-identity
9×pow1 add-log-exp
8×add-sqr-sqrt add-cube-cbrt
6×add-exp-log
5×log-pow
4×exp-prod exp-sum add-cbrt-cube
3×sum-log
2×log-div flip3-+ rem-log-exp flip-+ distribute-lft-out
1×+-commutative associate-+r+ rem-exp-log
Counts
4 → 58
Calls
4 calls:
5.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
1.0ms
(log (log (+ x (+ 2.0 (* x (* x 1/2))))))
2.0ms
(exp (log (log (+ x (+ 2.0 (* x (* x 1/2)))))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
8.0ms
(log (log (+ x (+ 2.0 (* x (* x 1/2))))))
4.0ms
(exp (log (log (+ x (+ 2.0 (* x (* x 1/2)))))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify31.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
050201025

prune110.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh022
Picked101
Done011
Total70474

Merged error: 0.2b

Counts
74 → 4

regimes86.0ms

Accuracy

0% (0.8b remaining)

Error of 1.1b against oracle of 0.2b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
11217

end0.0ms

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

sample658.0ms

Algorithm
intervals
Results
320.0ms7325×body80valid
77.0ms137×body1280valid
72.0ms242×body640valid
31.0ms169×body320valid
14.0ms127×body160valid
5.0ms46×body80invalid
0.0ms10×body80overflowed

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