Details

Time bar (total: 1.9s)

sample18.0ms

Algorithm
intervals
Results
6.0ms247×body80valid
0.0ms4×body1280valid
0.0ms3×body2560valid
0.0ms2×body320valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0118
1118

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))

series5.0ms

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

simplify58.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04961171
14961171

prune32.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.0b

Counts
16 → 4

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)))

rewrite38.0ms

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:
16.0ms
(* (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)))

series95.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (cbrt (+ x (/ (fabs (- y x)) 2.0))) (cbrt (+ x (/ (fabs (- y x)) 2.0))))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
24.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050291940

prune220.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh022
Picked011
Done011
Total1056111

Merged error: 0.0b

Counts
111 → 6

localize16.0ms

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

rewrite26.0ms

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:
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
7.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
6.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

series89.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
21.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
24.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))
22.0ms
(cbrt (+ x (/ (fabs (- y x)) 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
049361148
149361148

prune224.0ms

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

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New67168
Fresh033
Picked011
Done022
Total67774

Merged error: 0.0b

Counts
74 → 7

localize9.0ms

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))))

rewrite40.0ms

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))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ x (/ (fabs (- y x)) 2.0))
16.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
18.0ms
(sqrt (+ x (/ (fabs (- y x)) 2.0)))
5.0ms
(* (sqrt (+ x (/ (fabs (- y x)) 2.0))) (sqrt (+ x (/ (fabs (- y x)) 2.0))))

simplify31.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
052901678

prune142.0ms

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

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1171118
Fresh123
Picked011
Done033
Total1187125

Merged error: 0.0b

Counts
125 → 7

regimes187.0ms

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
088
188

end0.0ms

sample461.0ms

Algorithm
intervals
Results
203.0ms7706×body80valid
13.0ms107×body1280valid
7.0ms49×body2560valid
7.0ms70×body640valid
3.0ms39×body320valid
2.0ms33×body160valid

Profiling

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