Details

Time bar (total: 2.1s)

analyze47.0ms

Algorithm
search

sample32.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1225
2255
3265
4265

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
17×add-sqr-sqrt
13×times-frac
12×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/r*
3×pow1 associate-/l*
2×flip3-+ associate-/r/ flip-+ difference-of-squares
1×cbrt-undiv +-commutative sub-neg flip3-- frac-2neg diff-log div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
3 → 60
Calls
3 calls:
7.0ms
(+ 1.0 (/ (* x y) 2.0))
16.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
10.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series39.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(+ 1.0 (/ (* x y) 2.0))
12.0ms
(- x (/ y (+ 1.0 (/ (* x y) 2.0))))
19.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify208.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0292511
11014483
24941475
35002475

prune95.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh000
Picked101
Done000
Total66470

Merged error: 0b

Counts
70 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (/ (* 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)

rewrite43.0ms

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:
4.0ms
(+ 1.0 (/ (* x y) 2.0))
18.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
8.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

series29.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ 1.0 (/ (* x y) 2.0))
7.0ms
(- x (/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y)))
10.0ms
(/ 1 (/ (+ 1.0 (/ (* x y) 2.0)) y))
7.0ms
(/ (+ 1.0 (/ (* x y) 2.0)) y)

simplify62.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05481492
123841275
250021266

prune136.0ms

Filtered
85 candidates to 164 candidates (-92.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1640164
Fresh033
Picked011
Done000
Total1644168

Merged error: 0b

Counts
168 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
8.9b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.9b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
8.9b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
27×cbrt-prod associate-*r*
23×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1 distribute-lft-out
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 125
Calls
4 calls:
30.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
4.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series137.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
40.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
44.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
40.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify92.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
07242243
132921969
250011791

prune311.0ms

Filtered
95 candidates to 137 candidates (-44.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh022
Picked011
Done011
Total1374141

Merged error: 0b

Counts
141 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* y (- 1.0 (* 0.5 (* x y))))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
5.0ms
(* y (- 1.0 (* 0.5 (* x y))))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* y (- 1.0 (* 0.5 (* x y))))

simplify132.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0132163
1598142
23812142
35001142

prune26.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New27027
Fresh011
Picked011
Done022
Total27431

Merged error: 0b

Counts
31 → 4

regimes80.0ms

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
0156
1156

end0.0ms

analyze49.0ms

Algorithm
search

sample407.0ms

Algorithm
intervals
Results
270.0ms8000×body80valid

Profiling

Loading profile data...