Details

Time bar (total: 2.5s)

sample190.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results
6.0ms242×body80valid
1.0ms6×body1280valid
0.0ms4×body640valid
0.0ms2×body320valid
0.0ms1×body2560valid
0.0ms1×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0104
1114
2114

prune7.0ms

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))

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))

series5.0ms

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

simplify111.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
083100
120791
248191
3128891
4389991
5500291

prune30.0ms

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))))
0.6b
(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)))

rewrite35.0ms

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)))
7.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series85.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03861546
113041467
250011344

prune220.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1061107
Fresh123
Picked011
Done011
Total1075112

Merged error: 0.0b

Counts
112 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×*-un-lft-identity
24×add-sqr-sqrt
18×cbrt-div
16×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 sqrt-prod add-cbrt-cube add-log-exp unswap-sqr
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
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)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series83.0ms

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

simplify54.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05061610
116911527
250011403

prune287.0ms

Filtered
73 candidates to 110 candidates (-50.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1091110
Fresh022
Picked011
Done022
Total1096115

Merged error: 0.0b

Counts
115 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×*-un-lft-identity
24×add-sqr-sqrt
18×cbrt-div
16×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 sqrt-prod add-cbrt-cube add-log-exp unswap-sqr
2×sqrt-div associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
6.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
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)))
5.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series83.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (sqrt (+ x (/ (fabs (- y x)) 2.0))))
23.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
22.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
19.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05061610
116911527
250011403

prune368.0ms

Filtered
73 candidates to 110 candidates (-50.7%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh022
Picked011
Done033
Total1106116

Merged error: 0.0b

Counts
116 → 6

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample601.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 97.668457%

Results
192.0ms7696×body80valid
12.0ms111×body1280valid
10.0ms75×body640valid
6.0ms47×body2560valid
3.0ms48×body320valid
1.0ms23×body160valid

Profiling

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