Details

Time bar (total: 2.0s)

analyze70.0ms

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

sample26.0ms

Algorithm
intervals
Results
12.0ms236×body80valid
3.0ms10×body640valid
1.0ms1×body1280valid
1.0ms6×body160valid
1.0ms3×body320valid
0.0ms1×body80invalid
0.0ms1×body80overflowed

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
048209
148209

prune4.0ms

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
(+ 1.0 (exp x))
0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.5b
(log (+ 1.0 (exp x)))

rewrite13.0ms

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:
3.0ms
(+ 1.0 (exp x))
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series22.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(+ 1.0 (exp x))
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
11.0ms
(log (+ 1.0 (exp x)))

simplify41.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04932504
14932504

prune95.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New50353
Fresh000
Picked101
Done000
Total51354

Merged error: 0.2b

Counts
54 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))))
0.5b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.2b
(- (exp x) 1.0)
5.7b
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
24×log-prod
12×add-sqr-sqrt
10×pow1 distribute-lft-out
9×associate--l+
8×add-cube-cbrt unpow-prod-down log-div cube-prod
6×add-exp-log log-pow add-log-exp
5×distribute-lft-out--
4×flip3-+ add-cbrt-cube flip-+
3×associate--r+
2×associate--l- sub-neg flip3-- diff-log rem-log-exp sum-cubes flip-- associate--r- difference-of-squares
Counts
4 → 79
Calls
4 calls:
18.0ms
(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))))
13.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms
(- (exp x) 1.0)
4.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (log (+ (pow 1.0 3) (pow (exp x) 3))) (log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0)))))
16.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms
(- (exp x) 1.0)
20.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050381613

prune217.0ms

Filtered
66 candidates to 91 candidates (-37.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done000
Total91394

Merged error: 0.2b

Counts
94 → 3

localize10.0ms

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))))
7.1b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-log-exp
8×log-prod
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log log-div associate--l+
3×flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
2×associate--l-
1×+-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))))
5.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series17.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
5.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04943866
14943866

prune97.0ms

Filtered
42 candidates to 55 candidates (-31.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh011
Picked101
Done011
Total55358

Merged error: 0.2b

Counts
58 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (+ 2.0 (* x (* x 1/2))))
0.8b
(cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3))
0.9b
(pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)
7.1b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt
10×pow1
9×add-log-exp
8×unpow-prod-down cube-prod
6×add-exp-log
5×log-pow add-cbrt-cube
4×log-prod
3×pow-unpow sum-log
2×cube-mult log-div flip3-+ unpow3 flip-+ distribute-lft-out sqr-pow
1×+-commutative pow-to-exp associate-+r+ pow-pow pow1/3 rem-log-exp pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 77
Calls
4 calls:
5.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
2.0ms
(cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3))
2.0ms
(pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)
5.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

series25.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
6.0ms
(cbrt (pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3))
12.0ms
(pow (log (+ x (+ 2.0 (* x (* x 1/2))))) 3)
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify34.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
049151528
149151528

prune144.0ms

Filtered
53 candidates to 89 candidates (-67.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New88189
Fresh011
Picked101
Done011
Total89392

Merged error: 0.2b

Counts
92 → 3

regimes91.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011626
111626

end0.0ms

sample752.0ms

Algorithm
intervals
Results
382.0ms7345×body80valid
85.0ms258×body640valid
69.0ms120×body1280valid
32.0ms158×body320valid
17.0ms119×body160valid
3.0ms59×body80invalid
1.0ms15×body80overflowed

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