Details

Time bar (total: 9.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms306×body80valid

simplify379.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1159
2309
3619
41049
51649
62419
72999
83359
93489
done3489

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)

rewrite22.0ms

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:
10.0ms
(* (- x (/ 16.0 116.0)) 3.0)
11.0ms
(* (* (- x (/ 16.0 116.0)) 3.0) y)

series10.0ms

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)

simplify2.2s

Counts
49 → 49
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
084540
1198532
2700444
32732444
done5000444

prune79.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(* (- x (/ 16.0 116.0)) (* 3.0 y))

rewrite11.0ms

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:
11.0ms
(* (- 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))

simplify1.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
062322
1162319
2523259
31906259
done5001259

prune43.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New26026
Fresh055
Picked011
Done011
Total26733

Merged error: 0.0b

Counts
33 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
0.2b
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
0.8b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
18×add-sqr-sqrt
15×associate-*r*
12×associate-*l/
11×*-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*l*
7×sqrt-prod
3×flip3-- *-commutative flip-- add-log-exp
2×difference-of-squares unswap-sqr
1×times-frac distribute-lft-out--
Counts
3 → 73
Calls
3 calls:
11.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
15.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
14.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

series34.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* (- x (/ 16.0 116.0)) (sqrt 3.0))
14.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0)) y)
11.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (sqrt 3.0))

simplify2.7s

Counts
82 → 82
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01191216
1295948
21096767
34433767
done5000767

prune113.0ms

Filtered
49 candidates to 82 candidates (-67.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New81182
Fresh134
Picked011
Done022
Total82789

Merged error: 0.0b

Counts
89 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) y)
0.7b
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
0.7b
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
1.0b
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
66×pow1
61×add-exp-log
46×cbrt-prod
42×add-sqr-sqrt pow-prod-down
41×prod-exp cbrt-unprod
37×add-cbrt-cube
23×sqrt-prod
22×associate-*r*
20×add-cube-cbrt *-un-lft-identity
18×associate-*l/
12×associate-*l*
11×swap-sqr
9×unswap-sqr
6×pow1/3
4×*-commutative add-log-exp
3×flip3-- flip--
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 147
Calls
4 calls:
29.0ms
(* (* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) y)
22.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
18.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
8.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

series81.0ms

Counts
4 → 10
Calls
4 calls:
14.0ms
(* (* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0))) y)
15.0ms
(* (* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))) (cbrt (sqrt 3.0)))
52.0ms
(* (* (- x (/ 16.0 116.0)) (sqrt 3.0)) (* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0))))
0.0ms
(* (cbrt (sqrt 3.0)) (cbrt (sqrt 3.0)))

simplify906.0ms

Counts
157 → 157
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
01803218
14692936
218302132
done50002132

prune275.0ms

Filtered
80 candidates to 157 candidates (-96.3%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1570157
Fresh033
Picked011
Done033
Total1577164

Merged error: 0.0b

Counts
164 → 7

regimes247.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample538.0ms

Algorithm
intervals
Results
281.0ms9176×body80valid

Profiling

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