Details

Time bar (total: 2.1s)

analyze31.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 99.609375%

sample15.0ms

Algorithm
intervals
Results
6.0ms241×body80valid
1.0ms6×body1280valid
1.0ms3×body2560valid
0.0ms4×body640valid
0.0ms2×body320valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
7.0ms
(+ x (/ (fabs (- y x)) 2.0))

series5.0ms

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

simplify117.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune34.0ms

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:

0.4b
(* (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)))

rewrite57.0ms

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:
32.0ms
(* (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)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
20.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
30.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03861546
113041467
250011344

prune282.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1052107
Fresh123
Picked101
Done011
Total1075112

Merged error: 0.0b

Counts
112 → 5

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-div
13×cbrt-prod *-un-lft-identity
9×flip3-+ flip-+
7×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 → 59
Calls
4 calls:
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)))
15.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
20.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
25.0ms
(cbrt (* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0)))))

simplify110.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (97.0ms)

IterNodesCost
03541176
19971118
237731087
350011081

prune262.0ms

Filtered
55 candidates to 71 candidates (-29.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New68371
Fresh033
Picked011
Done011
Total68876

Merged error: 0.0b

Counts
76 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.0b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
6.0ms
(+ x (/ (fabs (- y x)) 2.0))
6.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))
14.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
02901059
11130983
25002957

prune139.0ms

Filtered
66 candidates to 118 candidates (-78.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1162118
Fresh145
Picked011
Done112
Total1188126

Merged error: 0b

Counts
126 → 8

regimes196.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

analyze31.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 99.609375%

sample368.0ms

Algorithm
intervals
Results
196.0ms7685×body80valid
10.0ms88×body1280valid
9.0ms66×body2560valid
7.0ms84×body640valid
3.0ms44×body320valid
2.0ms33×body160valid
0.0ms1×body80invalid

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