Details

Time bar (total: 2.3s)

sample36.0ms

Algorithm
intervals
Results
12.0ms265×body80valid
4.0ms6×body1280valid
3.0ms10×body640valid
3.0ms68×body80overflowed
1.0ms6×body320valid
1.0ms6×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (log (+ 1.0 (exp x))) (* x y))
0.0b
(+ 1.0 (exp x))
0.8b
(log (+ 1.0 (exp x)))

rewrite12.0ms

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:
5.0ms
(- (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)))

simplify47.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune78.0ms

Filtered
54 candidates to 40 candidates (25.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh000
Picked011
Done000
Total52355

Merged error: 0.4b

Counts
55 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (exp x))
0.0b
(+ 1.0 (exp x))
1.5b
(log (sqrt (+ 1.0 (exp x))))
1.5b
(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

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))
4.0ms
(log (sqrt (+ 1.0 (exp x))))
6.0ms
(log (sqrt (+ 1.0 (exp x))))

series29.0ms

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))))

simplify39.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (33.0ms)

IterNodesCost
0155476
1390432
21073422
35002414

prune141.0ms

Filtered
76 candidates to 54 candidates (28.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh011
Picked101
Done011
Total76379

Merged error: 0.4b

Counts
79 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(sqrt (sqrt (+ 1.0 (exp x))))
1.0b
(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.0b
(log (sqrt (sqrt (+ 1.0 (exp x)))))
1.5b
(log (sqrt (+ 1.0 (exp x))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
38×sqrt-prod
27×log-prod
22×*-un-lft-identity
16×add-sqr-sqrt
14×pow1 add-cube-cbrt sqrt-div
13×sqrt-pow1 log-pow
7×add-exp-log pow1/2
6×log-div
4×flip3-+ add-cbrt-cube flip-+ distribute-lft-out add-log-exp
3×rem-log-exp
2×rem-sqrt-square
Counts
4 → 92
Calls
4 calls:
4.0ms
(sqrt (sqrt (+ 1.0 (exp x))))
5.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))
5.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))
4.0ms
(log (sqrt (+ 1.0 (exp x))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(sqrt (sqrt (+ 1.0 (exp x))))
29.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))
26.0ms
(log (sqrt (sqrt (+ 1.0 (exp x)))))
13.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify102.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0263835
1798779
23061769
35001744

prune261.0ms

Filtered
104 candidates to 70 candidates (32.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1040104
Fresh011
Picked011
Done011
Total1043107

Merged error: 0.4b

Counts
107 → 3

localize10.0ms

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))
6.1b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite28.0ms

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))
8.0ms
(+ (* 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)))

series19.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 1/2 (pow x 2))
3.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
10.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
4.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0371575
11439529
25001520

prune142.0ms

Filtered
83 candidates to 61 candidates (26.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh000
Picked101
Done022
Total83386

Merged error: 0.4b

Counts
86 → 3

regimes125.0ms

Accuracy

0% (0.3b 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
0105
1105

end0.0ms

sample1.0s

Algorithm
intervals
Results
380.0ms8412×body80valid
96.0ms2422×body80overflowed
79.0ms262×body640valid
75.0ms138×body1280valid
39.0ms208×body320valid
13.0ms115×body160valid

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