Details

Time bar (total: 2.1s)

analyze19.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
74.9%25%0.1%5
87.4%12.5%0.1%6
87.4%12.5%0.1%7
93.7%6.2%0.1%8
93.7%6.2%0.1%9
96.8%3.1%0.1%10
96.8%3.1%0.1%11
98.3%1.6%0.1%12
98.3%1.6%0.1%13
99.1%0.8%0.1%14

sample14.0ms

Algorithm
intervals
Results
6.0ms250×body80valid
0.0ms2×body2560valid
0.0ms2×body640valid
0.0ms2×body320valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
01818
11818

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04944171
14944171

prune31.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.0b

Counts
16 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

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:
19.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series103.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify78.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
051061940

prune204.0ms

Filtered
71 candidates to 107 candidates (-50.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh033
Picked011
Done011
Total1057112

Merged error: 0.0b

Counts
112 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
0.6b
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
20×*-un-lft-identity
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
2×flip3-+ flip-+ unpow2 sqr-pow
Counts
4 → 68
Calls
4 calls:
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
8.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

series97.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
28.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
26.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

simplify91.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
048321478
148321478

prune265.0ms

Filtered
58 candidates to 80 candidates (-37.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done022
Total80787

Merged error: 0.0b

Counts
87 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
0.6b
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
0.6b
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
22×*-un-lft-identity
21×unpow-prod-down
14×add-sqr-sqrt add-cube-cbrt
4×pow1 add-exp-log pow1/3 add-cbrt-cube distribute-lft-out add-log-exp
3×unpow2 sqr-pow
2×cbrt-div
1×flip3-+ flip-+
Counts
4 → 74
Calls
4 calls:
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
8.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
8.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

series102.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
26.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
26.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))
26.0ms
(cbrt (pow (cbrt (+ x (/ (fabs (- y x)) 2.0))) 2))

simplify98.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
048321645
148321645

prune270.0ms

Filtered
61 candidates to 86 candidates (-41.0%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done033
Total86793

Merged error: 0.0b

Counts
93 → 7

regimes172.0ms

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 (1.0ms)

IterNodesCost
0188
1188

end0.0ms

sample339.0ms

Algorithm
intervals
Results
181.0ms7677×body80valid
14.0ms125×body1280valid
7.0ms50×body2560valid
6.0ms70×body640valid
3.0ms52×body320valid
1.0ms26×body160valid

Profiling

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