Details

Time bar (total: 2.7s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×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 (+ 1.0 (/ (* x y) 2.0))))
0.0b
(/ (* x y) 2.0)
8.1b
(/ 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:
12.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
4.0ms
(/ (* x y) 2.0)
6.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
22.0ms
(/ (* x y) 2.0)
59.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify41.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0358510
11495479
25001473

prune131.0ms

Filtered
78 candidates to 57 candidates (73.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New73578
Fresh000
Picked101
Done000
Total74579

Merged error: 0b

Counts
79 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
0.2b
(/ x (/ 2.0 y))
8.1b
(/ y (+ 1.0 (/ x (/ 2.0 y))))

rewrite42.0ms

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))
14.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

series123.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- x (/ y (+ 1.0 (/ x (/ 2.0 y)))))
20.0ms
(/ x (/ 2.0 y))
67.0ms
(/ y (+ 1.0 (/ x (/ 2.0 y))))

simplify66.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0565876
12497841
25002841

prune208.0ms

Filtered
127 candidates to 100 candidates (78.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1270127
Fresh044
Picked011
Done000
Total1275132

Merged error: 0b

Counts
132 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
0.0b
(/ (* x y) 2.0)
0.1b
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
8.0b
(/ (+ 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:
20.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
4.0ms
(/ (* x y) 2.0)
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series169.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
19.0ms
(/ (* x y) 2.0)
63.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
49.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify70.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06101500
128771275
250011272

prune187.0ms

Filtered
173 candidates to 92 candidates (53.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh033
Picked011
Done011
Total1735178

Merged error: 0b

Counts
178 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
3.2b
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
4.9b
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
50×times-frac
43×add-sqr-sqrt
38×add-cube-cbrt
34×cbrt-prod
30×associate-*r*
18×add-exp-log
13×distribute-lft-out
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down unswap-sqr
2×flip3-+ pow1/3 flip-+ div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
15.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

series632.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt y)
172.0ms
(cbrt y)
198.0ms
(/ (cbrt y) (+ 1.0 (/ (* x y) 2.0)))
83.0ms
(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (+ 1.0 (/ (* x y) 2.0))))

simplify74.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
05951235
129291072
250021035

prune274.0ms

Filtered
135 candidates to 102 candidates (75.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh022
Picked011
Done022
Total1355140

Merged error: 0b

Counts
140 → 5

regimes40.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105

end0.0ms

sample377.0ms

Algorithm
intervals
Results
251.0ms7998×body80valid
0.0ms1×body2560valid
0.0ms1×body640valid