Details

Time bar (total: 2.9s)

sample31.0ms

Algorithm
intervals
Results
12.0ms273×body80valid
3.0ms4×body1280valid
2.0ms61×body80overflowed
2.0ms6×body640valid
1.0ms6×body320valid
0.0ms2×body160valid

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: 0.8b

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)))

series145.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(- (log (+ 1.0 (exp x))) (* x y))
8.0ms
(+ 1.0 (exp x))
80.0ms
(log (+ 1.0 (exp x)))

simplify67.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0207322
1584301
21729298
35001297

prune118.0ms

Filtered
54 candidates to 40 candidates (74.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New51354
Fresh000
Picked011
Done000
Total51455

Merged error: 0.2b

Counts
55 → 4

localize12.0ms

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))))

rewrite16.0ms

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

series217.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ 1.0 (exp x))
8.0ms
(+ 1.0 (exp x))
99.0ms
(log (sqrt (+ 1.0 (exp x))))
100.0ms
(log (sqrt (+ 1.0 (exp x))))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 3 (37.0ms)

IterNodesCost
0155476
1390432
21073422
35002414

prune208.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0.2b

Counts
80 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (pow x 2))
0.0b
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
0.0b
(+ (* 1/2 (pow x 2)) (+ x 2.0))
7.3b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite30.0ms

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))
11.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
7.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
6.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 1/2 (pow x 2))
76.0ms
(- (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) (* x y))
18.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
51.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0371575
11439529
25001520

prune169.0ms

Filtered
83 candidates to 61 candidates (73.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New82183
Fresh011
Picked101
Done022
Total83487

Merged error: 0.2b

Counts
87 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/2 (pow x 2)) (+ x 2.0))
0.8b
(cbrt (pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3))
0.9b
(pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3)
7.3b
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1
9×add-log-exp
8×unpow-prod-down cube-prod
6×add-exp-log
5×log-pow add-cbrt-cube
3×pow-unpow log-prod sum-log
2×cube-mult log-div flip3-+ unpow3 flip-+ sqr-pow
1×+-commutative pow-to-exp associate-+r+ pow-pow pow1/3 rem-log-exp pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 75
Calls
4 calls:
7.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
2.0ms
(cbrt (pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3))
3.0ms
(pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3)
9.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

series253.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (* 1/2 (pow x 2)) (+ x 2.0))
53.0ms
(cbrt (pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3))
132.0ms
(pow (log (+ (* 1/2 (pow x 2)) (+ x 2.0))) 3)
51.0ms
(log (+ (* 1/2 (pow x 2)) (+ x 2.0)))

simplify62.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0546892
12378835
25003829

prune192.0ms

Filtered
87 candidates to 53 candidates (60.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New86187
Fresh011
Picked101
Done022
Total87491

Merged error: 0.2b

Counts
91 → 4

regimes89.0ms

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
0105
1105

end0.0ms

sample912.0ms

Algorithm
intervals
Results
393.0ms8396×body80valid
102.0ms2433×body80overflowed
84.0ms152×body1280valid
74.0ms245×body640valid
32.0ms171×body320valid
11.0ms96×body160valid

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