Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms295×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1314
2714
31364
42114
52854
63504
73964
84084
94084

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: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×pow1 add-exp-log add-cbrt-cube
7×*-un-lft-identity associate-*l*
6×associate-*r* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- add-log-exp difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
2 → 43
Calls
2 calls:
9.0ms
(* (- x (/ 16.0 116.0)) 3.0)
10.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series76.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* (- x (/ 16.0 116.0)) 3.0)
38.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify92.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0197259
1849215
24422215
35001215

prune78.0ms

Filtered
49 candidates to 32 candidates (65.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43649
Fresh000
Picked011
Done000
Total43750

Merged error: 0.0b

Counts
50 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×pow1 add-exp-log associate-*l* add-cbrt-cube
4×*-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/ difference-of-squares
1×flip3-- times-frac associate-*r* *-commutative flip-- distribute-lft-out-- add-log-exp
Counts
1 → 23
Calls
1 calls:
9.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify65.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0161155
1566125
22546125
35002125

prune41.0ms

Filtered
26 candidates to 15 candidates (57.7%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New25126
Fresh055
Picked011
Done011
Total25833

Merged error: 0.0b

Counts
33 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- 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))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1 add-exp-log
19×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
13×add-sqr-sqrt
12×associate-*l/
10×associate-*r*
9×*-un-lft-identity
8×associate-*l*
7×add-cube-cbrt
3×cbrt-prod flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out-- unswap-sqr
Counts
3 → 76
Calls
3 calls:
15.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
16.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
14.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series318.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
90.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)) y)
114.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0333777
11671584
25002540

prune137.0ms

Filtered
85 candidates to 52 candidates (61.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New82385
Fresh235
Picked101
Done022
Total85893

Merged error: 0b

Counts
93 → 8

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) y)
0.6b
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0))))
0.7b
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
37×prod-exp
22×add-cbrt-cube
19×pow1 cbrt-unprod
13×add-sqr-sqrt associate-*r*
12×associate-*l/
10×*-un-lft-identity pow-prod-down
8×add-cube-cbrt associate-*l*
6×cbrt-prod
3×pow-to-exp flip3-- pow-exp sqrt-prod *-commutative flip-- add-log-exp
2×difference-of-squares
1×times-frac distribute-lft-out--
Counts
3 → 81
Calls
3 calls:
17.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) y)
13.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0))))
19.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))

series1.4s

Counts
3 → 9
Calls
3 calls:
456.0ms
(* (* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) y)
467.0ms
(* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0))))
510.0ms
(* (* (- x (/ 16.0 116.0)) (* (pow (cbrt 3.0) 2) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))

simplify71.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04141249
12219965
25002884

prune194.0ms

Filtered
90 candidates to 56 candidates (62.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New89190
Fresh235
Picked011
Done022
Total91798

Merged error: 0b

Counts
98 → 7

regimes126.0ms

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
0114
1114

end0.0ms

sample420.0ms

Algorithm
intervals
Results
269.0ms9114×body80valid

Profiling

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