Details

Time bar (total: 1.7s)

sample14.0ms

Algorithm
intervals
Results
5.0ms244×body80valid
1.0ms7×body1280valid
0.0ms3×body640valid
0.0ms2×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(+ x (/ (- x y) 2.0))

simplify73.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune29.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New12416
Fresh000
Picked011
Done000
Total12517

Merged error: 0.0b

Counts
17 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

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))

series7.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08781
127474
288474
3212674
4500174

prune23.0ms

Filtered
10 candidates to 15 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New14115
Fresh123
Picked011
Done011
Total15520

Merged error: 0.0b

Counts
20 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.5 x) (* 0.5 y))
0.3b
(* (* 1.5 x) (* 1.5 x))
2.4b
(- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y)))
31.2b
(/ (- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y))) (+ (* 1.5 x) (* 0.5 y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
18×add-exp-log add-cbrt-cube
17×pow-prod-down
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×prod-exp cbrt-unprod add-log-exp
5×difference-of-squares
4×pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×flip3-- flip3-+ pow-plus associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative pow2 sub-neg frac-2neg diff-log div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
3.0ms
(+ (* 1.5 x) (* 0.5 y))
6.0ms
(* (* 1.5 x) (* 1.5 x))
6.0ms
(- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y)))
11.0ms
(/ (- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y))) (+ (* 1.5 x) (* 0.5 y)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* 1.5 x) (* 0.5 y))
3.0ms
(* (* 1.5 x) (* 1.5 x))
8.0ms
(- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y)))
15.0ms
(/ (- (* (* 1.5 x) (* 1.5 x)) (* (* 0.5 y) (* 0.5 y))) (+ (* 1.5 x) (* 0.5 y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0366948
11968846
25001845

prune140.0ms

Filtered
65 candidates to 106 candidates (-63.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1042106
Fresh022
Picked101
Done022
Total1056111

Merged error: 0.0b

Counts
111 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 1.5 x) (* 0.5 y))) (cbrt (+ (* 1.5 x) (* 0.5 y))))
0.5b
(cbrt (+ (* 1.5 x) (* 0.5 y)))
0.5b
(cbrt (+ (* 1.5 x) (* 0.5 y)))
0.5b
(cbrt (+ (* 1.5 x) (* 0.5 y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* 1.5 x) (* 0.5 y))) (cbrt (+ (* 1.5 x) (* 0.5 y))))
3.0ms
(cbrt (+ (* 1.5 x) (* 0.5 y)))
3.0ms
(cbrt (+ (* 1.5 x) (* 0.5 y)))
3.0ms
(cbrt (+ (* 1.5 x) (* 0.5 y)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (cbrt (+ (* 1.5 x) (* 0.5 y))) (cbrt (+ (* 1.5 x) (* 0.5 y))))
56.0ms
(cbrt (+ (* 1.5 x) (* 0.5 y)))
54.0ms
(cbrt (+ (* 1.5 x) (* 0.5 y)))
57.0ms
(cbrt (+ (* 1.5 x) (* 0.5 y)))

simplify109.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
02781046
1854981
23535919
35001904

prune254.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh033
Picked011
Done022
Total996105

Merged error: 0.0b

Counts
105 → 6

regimes129.0ms

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

sample388.0ms

Algorithm
intervals
Results
149.0ms7390×body80valid
22.0ms223×body1280valid
12.0ms170×body640valid
9.0ms81×body2560valid
5.0ms84×body320valid
2.0ms53×body160valid

Profiling

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