Details

Time bar (total: 3.2s)

sample16.0ms

Algorithm
intervals
Results
5.0ms240×body80valid
1.0ms8×body1280valid
1.0ms5×body2560valid
0.0ms2×body640valid
0.0ms1×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

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: 0.1b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
8.0ms
(+ x (/ (- x y) 2.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (/ (- x y) 2.0))

simplify90.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune33.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New11516
Fresh000
Picked011
Done000
Total11617

Merged error: 0.0b

Counts
17 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- (* 1.5 x) (* 0.5 y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- (* 1.5 x) (* 0.5 y))

simplify87.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
08781
127474
288474
3212674
4500174

prune25.0ms

Filtered
15 candidates to 10 candidates (66.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New15015
Fresh044
Picked011
Done011
Total15621

Merged error: 0.0b

Counts
21 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (- x y) 2.0))
0.0b
(* (/ (- x y) 2.0) (/ (- x y) 2.0))
13.2b
(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
26.8b
(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
122×add-sqr-sqrt
110×*-un-lft-identity
106×times-frac
56×add-cube-cbrt
32×difference-of-squares
25×swap-sqr
24×distribute-lft-out--
19×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
11×pow1
8×add-log-exp
6×associate-/r*
5×cbrt-undiv div-exp div-inv
4×flip3-- prod-exp flip-- cbrt-unprod associate-/l* unswap-sqr
2×sub-neg diff-log div-sub associate-/r/ associate-/l/
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate--r-
Counts
4 → 171
Calls
4 calls:
11.0ms
(- x (/ (- x y) 2.0))
17.0ms
(* (/ (- x y) 2.0) (/ (- x y) 2.0))
4.0ms
(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
15.0ms
(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (/ (- x y) 2.0))
26.0ms
(* (/ (- x y) 2.0) (/ (- x y) 2.0))
33.0ms
(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
105.0ms
(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify120.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
07671986
140211797
250021766

prune308.0ms

Filtered
183 candidates to 121 candidates (66.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1794183
Fresh033
Picked101
Done112
Total1818189

Merged error: 0.0b

Counts
189 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
0.6b
(cbrt (- x (/ (- x y) 2.0)))
0.6b
(cbrt (- x (/ (- x y) 2.0)))
0.6b
(cbrt (- x (/ (- x y) 2.0)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
9×flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
7×times-frac
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
27.0ms
(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
9.0ms
(cbrt (- x (/ (- x y) 2.0)))
9.0ms
(cbrt (- x (/ (- x y) 2.0)))
9.0ms
(cbrt (- x (/ (- x y) 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
540.0ms
(* (cbrt (- x (/ (- x y) 2.0))) (cbrt (- x (/ (- x y) 2.0))))
228.0ms
(cbrt (- x (/ (- x y) 2.0)))
230.0ms
(cbrt (- x (/ (- x y) 2.0)))
233.0ms
(cbrt (- x (/ (- x y) 2.0)))

simplify119.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
03121322
19291257
241831163
350021148

prune299.0ms

Filtered
119 candidates to 87 candidates (73.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1172119
Fresh066
Picked101
Done011
Total1189127

Merged error: 0.0b

Counts
127 → 9

regimes98.0ms

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
073
173

end0.0ms

sample328.0ms

Algorithm
intervals
Results
153.0ms7386×body80valid
20.0ms231×body1280valid
11.0ms158×body640valid
10.0ms90×body2560valid
5.0ms93×body320valid
5.0ms45×body160valid

Profiling

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