Details

Time bar (total: 1.8s)

analyze64.0ms

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

sample27.0ms

Algorithm
intervals
Results
15.0ms241×body80valid
2.0ms6×body640valid
1.0ms2×body1280valid
1.0ms3×body320valid
0.0ms4×body160valid
0.0ms1×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

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))
0.5b
(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:
6.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series21.0ms

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

simplify46.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04916504
14916504

prune78.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New50353
Fresh000
Picked011
Done000
Total50454

Merged error: 0.4b

Counts
54 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.5b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.8b
(- (exp x) 1.0)
5.2b
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt log-prod
10×add-cube-cbrt
7×pow1 unpow-prod-down cube-prod
6×add-exp-log add-log-exp
5×add-cbrt-cube distribute-lft-out
4×log-div pow-pow
3×pow-unpow exp-prod
2×flip3-+ rem-log-exp log-pow flip-+
1×cube-mult pow-to-exp sub-neg flip3-- diff-log unpow3 pow-exp sum-cubes flip-- distribute-lft-out-- rem-cube-cbrt difference-of-squares sqr-pow
Counts
4 → 73
Calls
4 calls:
3.0ms
(pow (exp x) 3)
10.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms
(- (exp x) 1.0)
3.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(pow (exp x) 3)
16.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
2.0ms
(- (exp x) 1.0)
19.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05209829

prune152.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0.4b

Counts
89 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
1.2b
(log (sqrt (+ 1.0 (exp x))))
1.2b
(log (sqrt (+ 1.0 (exp x))))

rewrite18.0ms

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))
6.0ms
(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))))
13.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify40.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
05012642

prune123.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done022
Total76480

Merged error: 0.4b

Counts
80 → 4

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))))
5.8b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite15.0ms

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:
6.0ms
(- (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)))))

series18.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
3.0ms
(+ x (+ 2.0 (* x (* x 1/2))))
6.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05777860

prune80.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New54155
Fresh000
Picked101
Done033
Total55459

Merged error: 0.4b

Counts
59 → 4

regimes137.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02126
12126

end0.0ms

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

sample697.0ms

Algorithm
intervals
Results
350.0ms7332×body80valid
74.0ms236×body640valid
71.0ms127×body1280valid
36.0ms188×body320valid
14.0ms117×body160valid
3.0ms51×body80invalid
0.0ms6×body80overflowed

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