Details

Time bar (total: 2.5s)

analyze33.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
9.0ms236×body80valid
1.0ms6×body1280valid
0.0ms6×body640valid
0.0ms5×body320valid
0.0ms2×body2560valid
0.0ms1×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

prune2.0ms

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))

simplify73.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
09181
124274
270474
3341274
4500174

prune32.0ms

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

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)))

rewrite47.0ms

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:
20.0ms
(* (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)))
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series175.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
42.0ms
(cbrt (+ x (/ (- x y) 2.0)))
42.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
02631109
17511044
22594956
35001938

prune215.0ms

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

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh033
Picked101
Done011
Total1039112

Merged error: 0.0b

Counts
112 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.5b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
0.7b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
20×cbrt-prod
14×*-un-lft-identity
9×flip3-+ flip-+
8×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
3×distribute-lft-out
2×associate-*r/ associate-*l/
Counts
4 → 62
Calls
4 calls:
8.0ms
(cbrt (+ x (/ (- x y) 2.0)))
7.0ms
(cbrt (+ x (/ (- x y) 2.0)))
18.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
9.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(cbrt (+ x (/ (- x y) 2.0)))
43.0ms
(cbrt (+ x (/ (- x y) 2.0)))
48.0ms
(cbrt (* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0)))))
45.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify108.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 4 (97.0ms)

IterNodesCost
0285860
1608810
21436802
34830783
45001782

prune263.0ms

Filtered
64 candidates to 74 candidates (-15.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New73174
Fresh077
Picked011
Done011
Total731083

Merged error: 0b

Counts
83 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
0.7b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.7b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
0.7b
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite51.0ms

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:
22.0ms
(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
8.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
8.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series176.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (cbrt (cbrt (+ x (/ (- x y) 2.0)))) (cbrt (cbrt (+ x (/ (- x y) 2.0)))))
42.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
41.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))
45.0ms
(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify70.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
02891688
18111609
225441471
350011439

prune343.0ms

Filtered
85 candidates to 130 candidates (-52.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1300130
Fresh077
Picked011
Done022
Total13010140

Merged error: 0b

Counts
140 → 10

regimes206.0ms

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

analyze34.0ms

Algorithm
search

sample322.0ms

Algorithm
intervals
Results
158.0ms7406×body80valid
17.0ms194×body1280valid
12.0ms170×body640valid
9.0ms80×body2560valid
5.0ms94×body320valid
2.0ms56×body160valid
0.0ms4×body80invalid

Profiling

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