Details

Time bar (total: 1.8s)

sample95.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
11.0ms256×body80valid
0.0ms1×body80invalid

simplify26.0ms

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

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)

rewrite19.0ms

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:
8.0ms
(* (- x (/ 16.0 116.0)) 3.0)
9.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series9.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- x (/ 16.0 116.0)) 3.0)
6.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

simplify89.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0197259
1849215
24422215
35001215

prune71.0ms

Filtered
32 candidates to 49 candidates (-53.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43649
Fresh000
Picked011
Done000
Total43750

Merged error: 0.0b

Counts
50 → 7

localize8.0ms

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:
10.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (- x (/ 16.0 116.0)) (* 3.0 y))

simplify61.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0161155
1566125
22546125
35002125

prune45.0ms

Filtered
15 candidates to 26 candidates (-73.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New25126
Fresh055
Picked011
Done011
Total25833

Merged error: 0b

Counts
33 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

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))

rewrite46.0ms

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:
12.0ms
(* (- 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)
15.0ms
(* (* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series36.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* (- x (/ 16.0 116.0)) (* (cbrt 3.0) (cbrt 3.0)))
10.0ms
(* (* (* (- 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))

simplify51.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0333777
11671584
25002540

prune133.0ms

Filtered
52 candidates to 85 candidates (-63.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0b

Counts
93 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
0.7b
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
4.2b
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
8.1b
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×*-un-lft-identity
11×pow1 add-sqr-sqrt
10×associate-*l/
9×add-cube-cbrt
7×prod-exp cbrt-unprod
6×associate-*r* add-log-exp
5×associate-*l*
4×flip3-- times-frac pow-prod-down associate-/r* flip--
3×cbrt-undiv div-exp
2×associate-/r/ *-commutative associate-/l/ distribute-lft-out difference-of-squares
1×sub-neg frac-2neg flip3-+ diff-log clear-num flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
3.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
6.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
7.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
13.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

series28.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0)))
5.0ms
(* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0)
7.0ms
(* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y)
12.0ms
(/ (* (* (- (* x x) (* (/ 16.0 116.0) (/ 16.0 116.0))) 3.0) y) (+ x (/ 16.0 116.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0389941
12188763
25001763

prune119.0ms

Filtered
64 candidates to 95 candidates (-48.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New93295
Fresh224
Picked101
Done033
Total967103

Merged error: 0b

Counts
103 → 7

regimes239.0ms

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

sample627.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 12.195185%

Space saved by search: 0.097632%

Guaranteed chance to sample good point: 0%

Results
424.0ms8000×body80valid
1.0ms48×body80invalid

Profiling

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