Details

Time bar (total: 2.2s)

analyze69.0ms (3.2%)

Algorithm
1×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 (1.2%)

Algorithm
1×intervals
Results
10.0ms231×body80valid
3.0ms5×body1280valid
3.0ms9×body640valid
2.0ms9×body320valid
0.0ms2×body160valid
0.0ms2×body80invalid
0.0ms1×body80overflowed

simplify75.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
059739

prune6.0ms (0.3%)

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 (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite13.0ms (0.6%)

Algorithm
1×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
(log (+ 1.0 (exp x)))
3.0ms
(+ 1.0 (exp x))

series21.0ms (0.9%)

Counts
3 → 9
Calls

3 calls:

10.0ms
(log (+ 1.0 (exp x)))
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
2.0ms
(+ 1.0 (exp x))

simplify74.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04843504
14843504

prune133.0ms (6.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49453
Fresh000
Picked101
Done000
Total50454

Merged error: 0.5b

Counts
54 → 4

localize19.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.7b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
5.1b
(- (exp x) 1.0)
5.7b
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))

rewrite24.0ms (1.1%)

Algorithm
1×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:

10.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))
4.0ms
(- (exp x) 1.0)
3.0ms
(pow (exp x) 3)

series41.0ms (1.9%)

Counts
4 → 12
Calls

4 calls:

19.0ms
(log (+ (* 1.0 1.0) (* (exp x) (- (exp x) 1.0))))
15.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
4.0ms
(pow (exp x) 3)
2.0ms
(- (exp x) 1.0)

simplify52.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05002829

prune240.0ms (10.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done000
Total85489

Merged error: 0.5b

Counts
89 → 4

localize10.0ms (0.4%)

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))))
6.6b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite19.0ms (0.9%)

Algorithm
1×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
(+ 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)))))

series16.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

9.0ms
(- (log (+ x (+ 2.0 (* x (* x 1/2))))) (* x y))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))
2.0ms
(+ x (+ 2.0 (* x (* x 1/2))))

simplify44.0ms (2%)

Algorithm
1×egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05025866

prune110.0ms (5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh022
Picked101
Done011
Total54559

Merged error: 0.5b

Counts
59 → 5

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

1.2b
(cbrt (log (+ x (+ 2.0 (* x (* x 1/2))))))
6.6b
(log (+ x (+ 2.0 (* x (* x 1/2)))))
6.6b
(log (+ x (+ 2.0 (* x (* x 1/2)))))
6.6b
(log (+ x (+ 2.0 (* x (* x 1/2)))))

rewrite16.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
14×*-un-lft-identity
12×log-prod
8×pow1 add-sqr-sqrt add-cube-cbrt
7×add-exp-log
6×log-div
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×flip3-+ rem-log-exp flip-+ distribute-lft-out
1×pow1/3
Counts
4 → 57
Calls

4 calls:

4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))
1.0ms
(cbrt (log (+ x (+ 2.0 (* x (* x 1/2))))))

series26.0ms (1.2%)

Counts
4 → 12
Calls

4 calls:

14.0ms
(cbrt (log (+ x (+ 2.0 (* x (* x 1/2))))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))
4.0ms
(log (+ x (+ 2.0 (* x (* x 1/2)))))

simplify49.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049311210
149311210

prune233.0ms (10.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68169
Fresh033
Picked101
Done011
Total69574

Merged error: 0.5b

Counts
74 → 5

regimes150.0ms (6.8%)

Accuracy

Total 0.3b remaining (50.2%)

Threshold costs 0.3b (50.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06326
16326

end0.0ms (0%)

sample708.0ms (32.3%)

Algorithm
1×intervals
Results
343.0ms7285×body80valid
88.0ms279×body640valid
75.0ms134×body1280valid
38.0ms200×body320valid
12.0ms102×body160valid
2.0ms44×body80invalid
0.0ms10×body80overflowed

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