Details

Time bar (total: 2.6s)

sample16.0ms

Algorithm
intervals
Results
5.0ms225×body80valid
1.0ms11×body1280valid
1.0ms8×body640valid
0.0ms4×body2560valid
0.0ms4×body320valid
0.0ms4×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

prune3.0ms

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))

series5.0ms

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

simplify74.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune35.0ms

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: 0.1b

Counts
17 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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)))

rewrite51.0ms

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:
23.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
40.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))
40.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
02631109
17511044
22594956
35001938

prune217.0ms

Filtered
75 candidates to 107 candidates (-42.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1016107
Fresh213
Picked101
Done011
Total1048112

Merged error: 0.0b

Counts
112 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(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))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
37×cbrt-prod
19×*-un-lft-identity
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 65
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
10.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series182.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(cbrt (+ x (/ (- x y) 2.0)))
41.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
44.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
40.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify82.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 4 (73.0ms)

IterNodesCost
0200746
1436704
21062696
33502684
45002676

prune297.0ms

Filtered
69 candidates to 77 candidates (-11.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh066
Picked011
Done011
Total76985

Merged error: 0.0b

Counts
85 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
24×cbrt-prod
14×flip3-+ flip-+
12×*-un-lft-identity
8×add-sqr-sqrt frac-times add-cube-cbrt
4×pow1 add-exp-log pow1/3 associate-*r/ associate-*l/ add-cbrt-cube add-log-exp
2×distribute-lft-out
Counts
4 → 68
Calls
4 calls:
18.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
19.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series178.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
48.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
40.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
42.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (80.0ms)

IterNodesCost
02441148
15031084
211861076
340011050
450011044

prune347.0ms

Filtered
68 candidates to 80 candidates (-17.6%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh066
Picked011
Done022
Total80989

Merged error: 0.0b

Counts
89 → 9

regimes210.0ms

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

sample399.0ms

Algorithm
intervals
Results
170.0ms7345×body80valid
23.0ms237×body1280valid
13.0ms176×body640valid
10.0ms91×body2560valid
6.0ms104×body320valid
2.0ms52×body160valid

Profiling

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