Details

Time bar (total: 3.0s)

sample14.0ms

Algorithm
intervals
Results
5.0ms238×body80valid
1.0ms8×body1280valid
0.0ms4×body320valid
0.0ms3×body640valid
0.0ms1×body2560valid
0.0ms2×body160valid

simplify21.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
12.0ms
(+ x (/ (- x y) 2.0))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(+ x (/ (- x y) 2.0))

simplify77.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13316
Fresh000
Picked011
Done000
Total13417

Merged error: 0.0b

Counts
17 → 4

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(- (* 1.5 x) (* 0.5 y))

simplify79.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08781
127474
288474
3212674
4500174

prune27.0ms

Filtered
15 candidates to 10 candidates (66.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New15015
Fresh022
Picked011
Done011
Total15419

Merged error: 0.0b

Counts
19 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (/ (- x y) 2.0) (/ (- x y) 2.0))
0.0b
(- x (/ (- x y) 2.0))
15.0b
(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
30.0b
(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

rewrite52.0ms

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:
17.0ms
(* (/ (- x y) 2.0) (/ (- x y) 2.0))
9.0ms
(- x (/ (- x y) 2.0))
3.0ms
(- (* 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)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (/ (- x y) 2.0) (/ (- x y) 2.0))
33.0ms
(- x (/ (- x y) 2.0))
32.0ms
(- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0)))
109.0ms
(/ (- (* x x) (* (/ (- x y) 2.0) (/ (- x y) 2.0))) (- x (/ (- x y) 2.0)))

simplify123.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07671986
140211797
250011766

prune316.0ms

Filtered
183 candidates to 122 candidates (66.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1803183
Fresh011
Picked011
Done022
Total1807187

Merged error: 0.0b

Counts
187 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (- x y) 2.0))
0.2b
(/ (+ x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0))))
0.2b
(* (/ (+ x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0)))) (/ (- x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0)))))
0.3b
(/ (- x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0))))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
328×add-sqr-sqrt
234×times-frac
210×*-un-lft-identity
138×sqrt-prod
88×add-cube-cbrt
84×difference-of-squares
60×associate-*r*
42×associate-*l* distribute-lft-out--
20×add-exp-log add-cbrt-cube
19×distribute-lft-out
18×associate-/r*
10×associate-/l*
9×pow1 unswap-sqr
8×sqrt-div associate-/r/
6×cbrt-undiv flip3-- div-exp flip-- add-log-exp
4×div-sub prod-exp cbrt-unprod div-inv associate-/l/
2×frac-2neg clear-num pow-div
1×frac-times associate-+r- sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ associate--r-
Counts
4 → 301
Calls
4 calls:
9.0ms
(- x (/ (- x y) 2.0))
21.0ms
(/ (+ x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0))))
82.0ms
(* (/ (+ x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0)))) (/ (- x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0)))))
22.0ms
(/ (- x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- x (/ (- x y) 2.0))
171.0ms
(/ (+ x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0))))
68.0ms
(* (/ (+ x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0)))) (/ (- x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0)))))
103.0ms
(/ (- x (/ (- x y) 2.0)) (sqrt (- x (/ (- x y) 2.0))))

simplify150.0ms

Algorithm
egg-herbie
Counts
313 → 313
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
010485274
149514293
250014293

prune659.0ms

Filtered
313 candidates to 205 candidates (65.5%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New3112313
Fresh033
Picked011
Done033
Total3119320

Merged error: 0.0b

Counts
320 → 9

regimes242.0ms

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

sample343.0ms

Algorithm
intervals
Results
161.0ms7411×body80valid
23.0ms250×body1280valid
11.0ms145×body640valid
9.0ms81×body2560valid
4.0ms72×body320valid
2.0ms42×body160valid

Profiling

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