Details

Time bar (total: 5.1s)

analyze826.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 18.064476%

Guaranteed chance to sample good point: 81.047307%

sample21.0ms

Algorithm
intervals
Results
8.0ms234×body80valid
1.0ms11×body640valid
1.0ms4×body1280valid
0.0ms11×body80invalid
0.0ms3×body320valid
0.0ms4×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0216
1486
21606
34216
49846
519566
633906
750016

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
4.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
6.0ms
(* (- y x) 6.0)
14.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series31.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
4.0ms
(* (- y x) 6.0)
12.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify57.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0435616
12060564
25001564

prune134.0ms

Filtered
67 candidates to 97 candidates (-44.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New91697
Fresh000
Picked011
Done000
Total91798

Merged error: 0.0b

Counts
98 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.4b
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 add-exp-log sub-neg add-cbrt-cube
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×add-cube-cbrt associate-*r*
5×difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 97
Calls
4 calls:
7.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
9.0ms
(* 6.0 (- (/ 2.0 3.0) z))
14.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- (/ 2.0 3.0) z)
13.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
4.0ms
(* 6.0 (- (/ 2.0 3.0) z))
9.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify55.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0437708
11830652
25001652

prune120.0ms

Filtered
69 candidates to 109 candidates (-58.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh055
Picked011
Done011
Total1097116

Merged error: 0.0b

Counts
116 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
0.5b
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
2.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
8.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

series487.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
93.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
90.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z))))
213.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))) (cbrt (+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))))

simplify56.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04632031
116271918
250021705

prune340.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New95499
Fresh134
Picked011
Done022
Total9610106

Merged error: 0.0b

Counts
106 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- (/ 2.0 3.0) z))
0.3b
(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
0.3b
(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
0.8b
(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
212×cbrt-div
168×frac-times
142×flip3-- flip--
132×associate-*l/
60×associate-*r/
53×add-sqr-sqrt
44×cbrt-prod
41×pow1
36×add-exp-log
33×*-un-lft-identity
23×pow-prod-down
22×prod-exp cbrt-unprod
21×add-cbrt-cube
19×associate-*r*
15×add-cube-cbrt
12×difference-of-squares
11×swap-sqr associate-*l*
8×distribute-lft-out--
7×pow1/3
6×times-frac
4×add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 236
Calls
4 calls:
6.0ms
(cbrt (- (/ 2.0 3.0) z))
39.0ms
(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
23.0ms
(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
17.0ms
(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- (/ 2.0 3.0) z))
14.0ms
(* (* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))) (cbrt (- (/ 2.0 3.0) z)))
29.0ms
(* (* (- y x) 6.0) (* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z))))
7.0ms
(* (cbrt (- (/ 2.0 3.0) z)) (cbrt (- (/ 2.0 3.0) z)))

simplify143.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
011944986
146734596
250014553

prune596.0ms

Filtered
150 candidates to 248 candidates (-65.3%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2480248
Fresh066
Picked011
Done033
Total24810258

Merged error: 0.0b

Counts
258 → 10

regimes402.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0156
1156

end0.0ms

analyze841.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 18.064476%

Guaranteed chance to sample good point: 81.047307%

sample571.0ms

Algorithm
intervals
Results
281.0ms7314×body80valid
34.0ms247×body640valid
23.0ms138×body1280valid
19.0ms192×body320valid
11.0ms310×body80invalid
8.0ms109×body160valid

Profiling

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