Details

Time bar (total: 7.3s)

sample12.0ms

Algorithm
intervals
Results
4.0ms239×body80valid
0.0ms4×body2560valid
0.0ms4×body1280valid
0.0ms5×body640valid
0.0ms4×body320valid

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

localize5.0ms

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:
9.0ms
(+ x (/ (- x y) 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ x (/ (- x y) 2.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune30.0ms

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

localize9.0ms

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)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
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 → 95
Calls
4 calls:
22.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))
12.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.9s

Counts
4 → 12
Calls
4 calls:
404.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
425.0ms
(cbrt (+ x (/ (- x y) 2.0)))
622.0ms
(cbrt (+ x (/ (- x y) 2.0)))
432.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02631109
17511044
22594956
35002940

prune238.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1043107
Fresh022
Picked011
Done011
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
62×cbrt-div
19×flip3-+ flip-+
12×frac-times
7×cbrt-prod *-un-lft-identity
6×associate-*r/ associate-*l/
5×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
1×distribute-lft-out
Counts
4 → 65
Calls
4 calls:
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))
24.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
21.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
21.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
428.0ms
(cbrt (+ x (/ (- x y) 2.0)))
407.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
398.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
405.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 4 (86.0ms)

IterNodesCost
02341262
14951190
212011182
340481164
450011153

prune236.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New77077
Fresh044
Picked011
Done022
Total77784

Merged error: 0.0b

Counts
84 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
1.0b
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 5)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
21×*-un-lft-identity
13×add-sqr-sqrt add-cube-cbrt
10×unpow-prod-down cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×pow-unpow flip3-+ flip-+
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 73
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
14.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
12.0ms
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 5)

series2.0s

Counts
4 → 12
Calls
4 calls:
433.0ms
(cbrt (+ x (/ (- x y) 2.0)))
433.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
432.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
749.0ms
(pow (cbrt (cbrt (+ x (/ (- x y) 2.0)))) 5)

simplify97.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0355839
1946797
23165787
35001759

prune236.0ms

Filtered
85 candidates to 65 candidates (76.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done033
Total85792

Merged error: 0.0b

Counts
92 → 7

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
073
173

end0.0ms

sample305.0ms

Algorithm
intervals
Results
139.0ms7379×body80valid
16.0ms210×body1280valid
10.0ms164×body640valid
9.0ms96×body2560valid
5.0ms99×body320valid
2.0ms54×body160valid

Profiling

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