Details

Time bar (total: 5.2s)

sample14.0ms

Algorithm
intervals
Results
5.0ms232×body80valid
1.0ms10×body1280valid
0.0ms5×body640valid
0.0ms3×body2560valid
0.0ms4×body320valid
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))

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))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(+ x (/ (- x y) 2.0))

simplify79.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune36.0ms

Filtered
16 candidates to 12 candidates (75.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New11516
Fresh000
Picked101
Done000
Total12517

Merged error: 0.0b

Counts
17 → 5

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:
4.0ms
(- (* 1.5 x) (* 0.5 y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- (* 1.5 x) (* 0.5 y))

simplify81.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08781
127474
288474
3212674
4500174

prune28.0ms

Filtered
15 candidates to 10 candidates (66.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh044
Picked011
Done000
Total14620

Merged error: 0.0b

Counts
20 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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))))
13.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series1.9s

Counts
4 → 12
Calls
4 calls:
394.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
624.0ms
(cbrt (+ x (/ (- x y) 2.0)))
427.0ms
(cbrt (+ x (/ (- x y) 2.0)))
427.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify75.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
02631109
17511044
22594956
35001938

prune237.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1034107
Fresh044
Picked101
Done011
Total1049113

Merged error: 0.0b

Counts
113 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
42×*-un-lft-identity
40×add-sqr-sqrt
36×cbrt-div
22×add-cube-cbrt
12×swap-sqr
11×pow1
10×associate-*r* associate-*l*
9×flip3-+ pow1/3 flip-+ distribute-lft-out unswap-sqr
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 118
Calls
4 calls:
29.0ms
(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
10.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series1.7s

Counts
4 → 12
Calls
4 calls:
398.0ms
(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
420.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
419.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
427.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify75.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02891688
18111609
225441471
350011439

prune300.0ms

Filtered
130 candidates to 85 candidates (65.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1300130
Fresh077
Picked011
Done011
Total1309139

Merged error: 0.0b

Counts
139 → 9

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
093
193

end0.0ms

sample344.0ms

Algorithm
intervals
Results
165.0ms7366×body80valid
20.0ms226×body1280valid
12.0ms170×body640valid
12.0ms106×body2560valid
5.0ms92×body320valid
2.0ms42×body160valid

Profiling

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