Details

Time bar (total: 2.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

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 (0.0%)
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))))
6.5b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite24.0ms

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:
7.0ms
(/ (* x y) 2.0)
9.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series115.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* x y) 2.0)
36.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
60.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0358510
11495479
25001473

prune124.0ms

Filtered
78 candidates to 57 candidates (73.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New74478
Fresh000
Picked101
Done000
Total75479

Merged error: 0b

Counts
79 → 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))
6.4b
(/ (+ 1.0 (/ (* x y) 2.0)) y)

rewrite46.0ms

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:
5.0ms
(/ (* x y) 2.0)
17.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
11.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series165.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* x y) 2.0)
35.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
58.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
52.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify70.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06101500
128771275
250031272

prune191.0ms

Filtered
173 candidates to 93 candidates (53.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1730173
Fresh033
Picked011
Done000
Total1734177

Merged error: 0b

Counts
177 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* x y) 2.0)
0.0b
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
0.7b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
5.6b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-sqr-sqrt
29×times-frac
24×add-cube-cbrt
22×add-exp-log
18×associate-*r*
16×add-cbrt-cube
7×pow1 associate-/r* distribute-lft-out
6×div-exp add-log-exp
5×prod-exp
4×cbrt-undiv associate-/r/ associate-/l*
3×associate-*l* cbrt-unprod div-inv unswap-sqr
2×rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+
1×sub-neg flip3-- pow-flip diff-log associate-*r/ pow-prod-down un-div-inv *-commutative flip-- inv-pow
Counts
4 → 111
Calls
4 calls:
4.0ms
(/ (* x y) 2.0)
2.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
8.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
11.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series165.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* x y) 2.0)
33.0ms
(- x (* y (/ 1 (+ 1.0 (/ (* x y) 2.0)))))
51.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
60.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0492817
12438720
25001681

prune152.0ms

Filtered
123 candidates to 76 candidates (61.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done011
Total1234127

Merged error: 0b

Counts
127 → 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))
6.5b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite43.0ms

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:
17.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
6.0ms
(/ x (/ 2.0 y))
16.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
19.0ms
(/ x (/ 2.0 y))
63.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0565876
12497841
25002841

prune206.0ms

Filtered
127 candidates to 100 candidates (78.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131

Merged error: 0b

Counts
131 → 4

regimes33.0ms

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

sample331.0ms

Algorithm
intervals
Results
209.0ms7999×body80valid
0.0ms1×body1280valid