Details

Time bar (total: 3.0s)

sample34.0ms

Algorithm
intervals
Results
12.0ms270×body80valid
4.0ms83×body80overflowed
3.0ms11×body640valid
3.0ms5×body1280valid
1.0ms6×body160valid
1.0ms3×body320valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune2.0ms

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: 0.5b

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))
0.8b
(log (+ 1.0 (exp x)))

rewrite16.0ms

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:
3.0ms
(+ 1.0 (exp x))
9.0ms
(- (log (+ 1.0 (exp x))) (* x y))
3.0ms
(log (+ 1.0 (exp x)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ 1.0 (exp x))
61.0ms
(- (log (+ 1.0 (exp x))) (* x y))
60.0ms
(log (+ 1.0 (exp x)))

simplify49.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune123.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New48654
Fresh000
Picked101
Done000
Total49655

Merged error: 0.4b

Counts
55 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp x) 3)
0.6b
(log (+ (pow 1.0 3) (pow (exp x) 3)))
6.2b
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
6.6b
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

rewrite35.0ms

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)
14.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
6.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
8.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(pow (exp x) 3)
90.0ms
(log (+ (pow 1.0 3) (pow (exp x) 3)))
43.0ms
(- (* (exp x) (exp x)) (* 1.0 (exp x)))
110.0ms
(log (+ (* 1.0 1.0) (- (* (exp x) (exp x)) (* 1.0 (exp x)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0363643
11502568
25001560

prune229.0ms

Filtered
85 candidates to 57 candidates (67.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done000
Total85691

Merged error: 0.4b

Counts
91 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (pow x 2))
0.0b
(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.0b
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.3b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
10×add-exp-log add-log-exp
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×log-prod add-cbrt-cube
5×pow1
4×unpow-prod-down log-div unswap-sqr
3×flip3-+ associate-*l* prod-exp associate--l+ sum-log flip-+
2×associate--l- unpow2 sqr-pow
1×+-commutative pow-to-exp sub-neg associate-+r+ flip3-- diff-log rem-log-exp pow-exp log-pow *-commutative flip-- cbrt-unprod
Counts
4 → 71
Calls
4 calls:
5.0ms
(* 1/2 (pow x 2))
7.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
8.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
6.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series177.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 1/2 (pow x 2))
23.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
78.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
51.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0371575
11439529
25001520

prune186.0ms

Filtered
83 candidates to 61 candidates (73.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New81283
Fresh044
Picked101
Done011
Total82789

Merged error: 0.4b

Counts
89 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b
(cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
6.3b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
6.3b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
6.3b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
9×log-prod
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×add-exp-log
6×log-div
4×cbrt-prod log-pow add-cbrt-cube add-log-exp
3×flip3-+ rem-log-exp flip-+
1×pow1/3
Counts
4 → 54
Calls
4 calls:
1.0ms
(cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
6.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
7.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
6.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt (log (+ (* 1/2 (pow x 2)) (+ x 2.0))))
56.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
50.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))
56.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0363755
11304677
25001644

prune224.0ms

Filtered
66 candidates to 55 candidates (83.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65166
Fresh145
Picked101
Done011
Total67673

Merged error: 0.4b

Counts
73 → 6

regimes65.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02217
12217

end0.0ms

sample890.0ms

Algorithm
intervals
Results
384.0ms8387×body80valid
94.0ms2404×body80overflowed
86.0ms289×body640valid
65.0ms119×body1280valid
31.0ms170×body320valid
13.0ms100×body160valid

Profiling

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