Details

Time bar (total: 1.9s)

analyze84.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 98.652778%

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms2×body80invalid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1314
2714
31364
42114
52854
63504
73964
84084
94084

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) 3.0)
0.2b
(* (* (- x (/ 16.0 116.0)) 3.0) y)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
7×associate-*l*
6×add-cube-cbrt associate-*r* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod difference-of-squares
3×flip3-- flip--
2×times-frac *-commutative distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
3 → 58
Calls
3 calls:
6.0ms
(- x (/ 16.0 116.0))
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series12.0ms

Counts
3 → 9
Calls
3 calls:
2.0ms
(- x (/ 16.0 116.0))
3.0ms
(* (- x (/ 16.0 116.0)) 3.0)
6.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify93.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0223336
1883287
24460287
35001287

prune96.0ms

Filtered
45 candidates to 67 candidates (-48.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New60767
Fresh000
Picked011
Done000
Total60868

Merged error: 0.0b

Counts
68 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.3b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
6×associate-*l*
4×add-log-exp difference-of-squares
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-- times-frac associate-*l/ flip-- distribute-lft-out--
1×sub-neg diff-log associate-*r* *-commutative
Counts
2 → 38
Calls
2 calls:
6.0ms
(- x (/ 16.0 116.0))
10.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series8.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(- x (/ 16.0 116.0))
6.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify64.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0187232
1601197
22588197
35002197

prune69.0ms

Filtered
28 candidates to 44 candidates (-57.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New42244
Fresh066
Picked011
Done011
Total421052

Merged error: 0.0b

Counts
52 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.0b
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
0.7b
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
12×*-un-lft-identity associate-*l/
10×associate-*r*
8×add-cube-cbrt associate-*l*
6×add-log-exp
4×flip3-- flip-- difference-of-squares
3×cbrt-prod *-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(- x (/ 16.0 116.0))
12.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
17.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
15.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series39.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- x (/ 16.0 116.0))
14.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
11.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
12.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0358854
11703656
25002612

prune169.0ms

Filtered
65 candidates to 103 candidates (-58.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1012103
Fresh257
Picked011
Done112
Total1049113

Merged error: 0.0b

Counts
113 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ 16.0 116.0))
0.1b
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
0.1b
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
37×prod-exp
23×add-cbrt-cube
20×pow1
19×add-sqr-sqrt cbrt-unprod
13×*-un-lft-identity associate-*r*
12×associate-*l/
10×pow-prod-down
9×cbrt-prod add-cube-cbrt
8×associate-*l*
6×add-log-exp
4×flip3-- flip-- difference-of-squares
3×pow-to-exp pow-exp *-commutative
2×times-frac distribute-lft-out--
1×sub-neg diff-log
Counts
4 → 96
Calls
4 calls:
7.0ms
(- x (/ 16.0 116.0))
13.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
16.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
18.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

series89.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- x (/ 16.0 116.0))
62.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0)))))
12.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0)))
11.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (* (cbrt 3.0) (cbrt 3.0))))) (cbrt (cbrt 3.0))) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04211427
119361161
250011159

prune236.0ms

Filtered
68 candidates to 108 candidates (-58.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh336
Picked011
Done112
Total1116117

Merged error: 0b

Counts
117 → 6

regimes146.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02114
12114

end0.0ms

analyze80.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.097632%

Space saved by search: 12.195185%

Guaranteed chance to sample good point: 98.652778%

sample363.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
1.0ms52×body80invalid

Profiling

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