Details

Time bar (total: 1.7s)

sample17.0ms

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

prune2.0ms

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: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
8.6b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
10×add-exp-log add-cbrt-cube
7×associate-/r*
5×add-log-exp
4×distribute-lft-out associate-/l*
3×pow1 cbrt-undiv div-exp
2×frac-2neg clear-num associate-/r/ div-inv difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log prod-exp flip-- cbrt-unprod flip-+ distribute-lft-out--
Counts
3 → 69
Calls
3 calls:
4.0ms
(/ (* x y) 2.0)
9.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series26.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ (* x y) 2.0)
7.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
15.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0358510
11495479
25001473

prune96.0ms

Filtered
78 candidates to 57 candidates (26.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh000
Picked101
Done000
Total75479

Merged error: 0b

Counts
79 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b
(/ x (/ 2.0 y))
8.6b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
88×times-frac
64×*-un-lft-identity
59×add-sqr-sqrt
54×add-cube-cbrt
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp distribute-lft-out
3×pow1 associate-/r/
2×frac-2neg clear-num difference-of-squares
1×sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
3 → 118
Calls
3 calls:
16.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
5.0ms
(/ x (/ 2.0 y))
13.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series25.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
3.0ms
(/ x (/ 2.0 y))
14.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify60.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0565876
12497841
25003841

prune144.0ms

Filtered
127 candidates to 100 candidates (21.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done000
Total1274131

Merged error: 0b

Counts
131 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.5b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
101×*-un-lft-identity
78×add-sqr-sqrt
64×add-cube-cbrt
22×add-exp-log associate-/r*
16×add-cbrt-cube distribute-lft-out
10×div-exp
8×div-inv associate-/l*
6×cbrt-undiv add-log-exp
5×pow1 difference-of-squares
3×frac-2neg clear-num
2×rec-exp 1-exp associate-/l/ distribute-lft-out--
1×sub-neg flip3-- pow-flip flip3-+ diff-log prod-exp associate-/r/ flip-- cbrt-unprod flip-+ inv-pow
Counts
4 → 161
Calls
4 calls:
4.0ms
(/ (* x y) 2.0)
16.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
6.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series31.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* x y) 2.0)
8.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
10.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
10.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify66.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
06101496
128771271
250031268

prune136.0ms

Filtered
173 candidates to 92 candidates (46.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh022
Picked011
Done011
Total1734177

Merged error: 0b

Counts
177 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
0.4b
(/ x (sqrt 2.0))
0.4b
(/ y (sqrt 2.0))
8.6b
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
98×add-sqr-sqrt
93×times-frac
68×add-cube-cbrt *-un-lft-identity
48×sqrt-prod
22×add-exp-log associate-*r* associate-*l* add-cbrt-cube
15×associate-/r*
9×associate-/l* unswap-sqr
7×cbrt-undiv div-exp
6×pow1
5×div-inv
4×prod-exp cbrt-unprod add-log-exp
3×frac-2neg clear-num
2×associate-/r/
1×frac-times flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+
Counts
4 → 180
Calls
4 calls:
15.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
4.0ms
(/ x (sqrt 2.0))
4.0ms
(/ y (sqrt 2.0))
4.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))
5.0ms
(/ x (sqrt 2.0))
5.0ms
(/ y (sqrt 2.0))
35.0ms
(/ y (+ 1.0 (* (/ x (sqrt 2.0)) (/ y (sqrt 2.0)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06151422
128771324
250021274

prune265.0ms

Filtered
192 candidates to 127 candidates (33.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh011
Picked011
Done022
Total1924196

Merged error: 0b

Counts
196 → 4

regimes72.0ms

Accuracy

0% (0.0b 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
0105
1105

end0.0ms

sample454.0ms

Algorithm
intervals
Results
254.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body160valid

Profiling

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