Details

Time bar (total: 4.1s)

sample38.0ms

Algorithm
intervals
Results
12.0ms275×body80valid
4.0ms89×body80overflowed
3.0ms6×body1280valid
2.0ms7×body640valid
1.0ms7×body320valid
0.0ms2×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

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))
0.6b
(log (+ 1.0 (exp x)))

rewrite18.0ms

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 → 45
Calls
3 calls:
11.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(+ 1.0 (exp x))
3.0ms
(log (+ 1.0 (exp x)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (log (+ 1.0 (exp x))) (* x y))
7.0ms
(+ 1.0 (exp x))
61.0ms
(log (+ 1.0 (exp x)))

simplify48.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune187.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49554
Fresh000
Picked011
Done000
Total49655

Merged error: 0.5b

Counts
55 → 6

localize18.0ms

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)))
5.3b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
5.4b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
12×log-prod
10×add-sqr-sqrt 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-- distribute-rgt-out-- diff-log unpow3 pow-exp sum-cubes flip-- rem-cube-cbrt sqr-pow
Counts
4 → 73
Calls
4 calls:
3.0ms
(pow (exp x) 3)
11.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
8.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(pow (exp x) 3)
88.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
104.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))
48.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))

simplify61.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0363643
11502568
25002560

prune335.0ms

Filtered
85 candidates to 57 candidates (67.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh044
Picked011
Done011
Total85691

Merged error: 0.5b

Counts
91 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(sqrt (+ 1.0 (exp x)))
0.3b
(sqrt (+ 1.0 (exp x)))
1.0b
(log (sqrt (+ 1.0 (exp x))))
1.0b
(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
8×sqrt-div
6×add-exp-log log-pow
4×log-div sqrt-pow1 flip3-+ pow1/2 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
2×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))))

series264.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(sqrt (+ 1.0 (exp x)))
35.0ms
(sqrt (+ 1.0 (exp x)))
99.0ms
(log (sqrt (+ 1.0 (exp x))))
101.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify51.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0162564
1453526
21549508
35001496

prune299.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New84084
Fresh033
Picked011
Done022
Total84690

Merged error: 0.5b

Counts
90 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (cbrt (+ 1.0 (exp x))))
0.7b
(+ (* 2 (log (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))))
0.9b
(cbrt (+ 1.0 (exp x)))
0.9b
(cbrt (+ 1.0 (exp x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
28×log-prod
27×*-un-lft-identity
24×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt associate-+l+
8×cbrt-div
7×distribute-rgt-in associate-+r+ distribute-lft-in
6×pow1 distribute-lft-out
5×add-exp-log flip3-+ flip-+ add-log-exp
4×log-div add-cbrt-cube
3×pow1/3 log-pow
2×associate-+r- distribute-rgt-out
1×+-commutative distribute-lft1-in rem-log-exp sum-log
Counts
4 → 84
Calls
4 calls:
8.0ms
(log (cbrt (+ 1.0 (exp x))))
12.0ms
(+ (* 2 (log (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))))
3.0ms
(cbrt (+ 1.0 (exp x)))
3.0ms
(cbrt (+ 1.0 (exp x)))

series630.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(log (cbrt (+ 1.0 (exp x))))
209.0ms
(+ (* 2 (log (cbrt (+ 1.0 (exp x))))) (log (cbrt (+ 1.0 (exp x)))))
116.0ms
(cbrt (+ 1.0 (exp x)))
120.0ms
(cbrt (+ 1.0 (exp x)))

simplify152.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0302812
1979724
24243665
35001649

prune375.0ms

Filtered
96 candidates to 76 candidates (79.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done033
Total966102

Merged error: 0.5b

Counts
102 → 6

regimes172.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample955.0ms

Algorithm
intervals
Results
350.0ms8331×body80valid
90.0ms2455×body80overflowed
79.0ms269×body640valid
76.0ms138×body1280valid
35.0ms202×body320valid
10.0ms93×body160valid

Profiling

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