Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
6.0ms244×body80valid
0.0ms4×body1280valid
0.0ms3×body2560valid
0.0ms3×body320valid
0.0ms1×body640valid
0.0ms1×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

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

series18.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(+ x (/ (fabs (- y x)) 2.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune38.0ms

Filtered
15 candidates to 11 candidates (73.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New11415
Fresh000
Picked011
Done000
Total11516

Merged error: 0.0b

Counts
16 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (fabs (- y x)) 2.0))
0.1b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.1b
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
0.4b
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

rewrite36.0ms

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:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))
6.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
16.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

series133.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(+ x (/ (fabs (- y x)) 2.0))
46.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
50.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
17.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
02731063
11071971
25001937

prune191.0ms

Filtered
118 candidates to 63 candidates (53.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1153118
Fresh213
Picked101
Done011
Total1185123

Merged error: 0.0b

Counts
123 → 5

localize14.0ms

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)))

rewrite34.0ms

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:
15.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (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)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
56.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
51.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
56.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03641473
112021394
250011293

prune340.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh123
Picked011
Done011
Total1075112

Merged error: 0b

Counts
112 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.5b
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
0.6b
(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity sqrt-prod
18×cbrt-prod
15×add-cube-cbrt
12×sqrt-div
11×pow1
10×unpow-prod-down cbrt-div associate-*l*
8×flip3-+ flip-+
7×add-exp-log sqrt-pow1 associate-*r*
6×add-cbrt-cube unswap-sqr
5×pow1/3 distribute-lft-out
4×frac-times pow-pow pow1/2 add-log-exp
3×pow-unpow pow-prod-down
2×associate-*r/ associate-*l/ pow-prod-up
1×pow-to-exp sqrt-unprod pow-exp prod-exp *-commutative sqrt-pow2 cbrt-unprod sqr-pow
Counts
4 → 103
Calls
4 calls:
16.0ms
(* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
9.0ms
(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

series244.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))
52.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
55.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
85.0ms
(pow (sqrt (cbrt (+ x (/ (fabs (- y x)) 2.0)))) 4)

simplify73.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05661619
119831538
250021488

prune426.0ms

Filtered
115 candidates to 82 candidates (71.3%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done022
Total1155120

Merged error: 0b

Counts
120 → 5

regimes87.0ms

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 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample341.0ms

Algorithm
intervals
Results
177.0ms7681×body80valid
16.0ms111×body1280valid
10.0ms51×body2560valid
8.0ms98×body640valid
3.0ms44×body320valid
1.0ms16×body160valid

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