Details

Time bar (total: 1.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms247×body80valid
0.0ms2×body1280valid
0.0ms2×body2560valid
0.0ms3×body640valid
0.0ms2×body320valid

simplify4.0ms

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: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))

series5.0ms

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

simplify108.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune32.0ms

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

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:
14.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
5.0ms
(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)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03861546
113041467
250011344

prune215.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1043107
Fresh033
Picked101
Done011
Total1057112

Merged error: 0.0b

Counts
112 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series77.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify55.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0207896
1586852
22146820
35001700

prune260.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67168
Fresh145
Picked101
Done011
Total69675

Merged error: 0b

Counts
75 → 6

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)))
0.3b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite53.0ms

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:
9.0ms
(+ x (/ (fabs (- y x)) 2.0))
10.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(+ x (/ (fabs (- y x)) 2.0))
27.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
23.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
8.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify74.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
02901059
11130983
25002957

prune129.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh044
Picked011
Done011
Total1186124

Merged error: 0b

Counts
124 → 6

regimes157.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample418.0ms

Algorithm
intervals
Results
182.0ms7684×body80valid
15.0ms114×body1280valid
8.0ms86×body640valid
6.0ms48×body2560valid
3.0ms46×body320valid
1.0ms23×body160valid

Profiling

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