Details

Time bar (total: 5.7s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune3.0ms

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: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
0.0b
(+ 1.0 (/ (* x y) 2.0))
5.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
20×add-sqr-sqrt
16×times-frac
15×add-cube-cbrt
11×add-exp-log add-cbrt-cube
8×add-log-exp
7×associate-/r*
5×distribute-lft-out
4×pow1 associate-/l*
3×cbrt-undiv div-exp
2×frac-2neg flip3-+ clear-num associate-/r/ flip-+ div-inv difference-of-squares
1×+-commutative sub-neg flip3-- diff-log prod-exp sum-log flip-- cbrt-unprod distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
4.0ms
(/ (* x y) 2.0)
10.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms
(+ 1.0 (/ (* x y) 2.0))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* x y) 2.0)
40.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
48.0ms
(+ 1.0 (/ (* x y) 2.0))
87.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0378589
11545551
25001545

prune397.0ms

Filtered
93 candidates to 68 candidates (26.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New89493
Fresh000
Picked101
Done000
Total90494

Merged error: 0b

Counts
94 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b
(+ 1.0 (/ (* x y) 2.0))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
5.5b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
101×*-un-lft-identity
76×add-sqr-sqrt
62×add-cube-cbrt
19×associate-/r*
17×add-exp-log distribute-lft-out
11×add-cbrt-cube
8×div-exp add-log-exp
7×div-inv associate-/l*
5×pow1 difference-of-squares
4×cbrt-undiv
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+ associate-/l/ distribute-lft-out--
1×+-commutative sub-neg flip3-- pow-flip diff-log sum-log associate-/r/ flip-- inv-pow
Counts
4 → 152
Calls
4 calls:
19.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
4.0ms
(+ 1.0 (/ (* x y) 2.0))
9.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series236.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
48.0ms
(+ 1.0 (/ (* x y) 2.0))
79.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
68.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify62.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05481492
123841275
250021266

prune542.0ms

Filtered
164 candidates to 87 candidates (47.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1640164
Fresh033
Picked011
Done000
Total1644168

Merged error: 0b

Counts
168 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))
0.4b
(/ (* x y) (sqrt 2.0))
0.4b
(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))
5.6b
(/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
70×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt sqrt-prod
20×add-exp-log add-cbrt-cube
16×associate-/r*
14×associate-/l*
10×div-inv
8×cbrt-undiv div-exp
6×add-log-exp
5×distribute-lft-out
4×pow1
3×frac-2neg clear-num
2×flip3-+ prod-exp associate-/r/ cbrt-unprod flip-+
1×+-commutative sum-log associate-/l/
Counts
4 → 165
Calls
4 calls:
17.0ms
(+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))
7.0ms
(/ (* x y) (sqrt 2.0))
9.0ms
(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))
18.0ms
(/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))

series814.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0)))
92.0ms
(/ (* x y) (sqrt 2.0))
151.0ms
(/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))
394.0ms
(/ y (+ 1.0 (/ (/ (* x y) (sqrt 2.0)) (sqrt 2.0))))

simplify87.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06041584
127961336
250011328

prune1.4s

Filtered
177 candidates to 104 candidates (41.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1770177
Fresh022
Picked011
Done011
Total1774181

Merged error: 0b

Counts
181 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))
5.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))
5.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))
19.4b
(/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
52×times-frac
41×add-sqr-sqrt add-cube-cbrt
17×distribute-lft-out
16×associate-/r*
13×associate-/l*
12×add-exp-log add-cbrt-cube
8×associate-/r/
5×difference-of-squares
4×pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
2×associate-/l/
1×flip3-- div-sub flip--
Counts
4 → 140
Calls
4 calls:
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
15.0ms
(/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))

series328.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
79.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
77.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))
93.0ms
(/ (- (* x x) (* (/ y (+ 1.0 (/ (* x y) 2.0))) (/ y (+ 1.0 (/ (* x y) 2.0))))) (+ x (/ y (+ 1.0 (/ (* x y) 2.0)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
04131861
118831754
250011754

prune779.0ms

Filtered
152 candidates to 111 candidates (27.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1520152
Fresh011
Picked011
Done022
Total1524156

Merged error: 0b

Counts
156 → 4

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

sample452.0ms

Algorithm
intervals
Results
247.0ms7999×body80valid
0.0ms1×body640valid

Profiling

Loading profile data...