Details

Time bar (total: 9.7s)

sample32.0ms

Algorithm
intervals
Results
8.0ms276×body80valid
7.0ms249×body80nan

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
078
1138
2238
3388
4558
5708
6798
7968
81158
91228
101268
111308
done1308

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- 1.0 x) (* y (sqrt x)))
0.3b
(* y (sqrt x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×add-log-exp
6×associate-*r*
5×add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log sqrt-prod add-cbrt-cube
3×associate-*l*
2×associate-+l+ sum-log unswap-sqr
1×+-commutative associate-+l- sub-neg flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 37
Calls
2 calls:
6.0ms
(+ (- 1.0 x) (* y (sqrt x)))
5.0ms
(* y (sqrt x))

series18.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (- 1.0 x) (* y (sqrt x)))
8.0ms
(* y (sqrt x))

simplify1.1s

Counts
43 → 43
Iterations

Useful iterations: 3 (362.0ms)

IterNodesCost
093442
1233409
2617385
31963370
done5001370

prune72.0ms

Filtered
32 candidates to 43 candidates (-34.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New37643
Fresh000
Picked011
Done000
Total37744

Merged error: 0.0b

Counts
44 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt x))
0.1b
(sqrt (sqrt x))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
0.3b
(* y (sqrt (sqrt x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
2.0ms
(sqrt (sqrt x))
2.0ms
(sqrt (sqrt x))
10.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
7.0ms
(* y (sqrt (sqrt x)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (sqrt x))
16.0ms
(sqrt (sqrt x))
8.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
12.0ms
(* y (sqrt (sqrt x)))

simplify1.7s

Counts
100 → 100
Iterations

Useful iterations: 3 (701.0ms)

IterNodesCost
0129917
1318721
2871650
32337630
done5000630

prune117.0ms

Filtered
57 candidates to 100 candidates (-75.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New946100
Fresh325
Picked101
Done011
Total989107

Merged error: 0b

Counts
107 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt (sqrt x)))
0.2b
(* y (sqrt (sqrt (sqrt x))))
0.3b
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
0.3b
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
72×sqrt-prod
33×associate-*r*
30×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp unswap-sqr
3×rem-sqrt-square pow1/2 *-commutative
Counts
4 → 109
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt x)))
8.0ms
(* y (sqrt (sqrt (sqrt x))))
13.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
17.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(sqrt (sqrt (sqrt x)))
13.0ms
(* y (sqrt (sqrt (sqrt x))))
12.0ms
(* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))
7.0ms
(* (* (* y (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt x)))

simplify2.5s

Counts
121 → 121
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01901621
14831142
21466920
34412900
done5001900

prune120.0ms

Filtered
66 candidates to 121 candidates (-83.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh077
Picked011
Done011
Total1219130

Merged error: 0b

Counts
130 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (sqrt (sqrt x)))
0.3b
(* y (sqrt (sqrt x)))
0.3b
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
0.3b
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
69×sqrt-prod
33×associate-*r*
28×add-sqr-sqrt
23×pow1
20×add-exp-log add-cbrt-cube
19×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
9×sqrt-pow1
5×associate-*l*
4×add-log-exp
3×rem-sqrt-square pow1/2 *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
3.0ms
(sqrt (sqrt (sqrt x)))
7.0ms
(* y (sqrt (sqrt x)))
12.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
20.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(sqrt (sqrt (sqrt x)))
11.0ms
(* y (sqrt (sqrt x)))
20.0ms
(* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x))))
12.0ms
(* (* (* y (sqrt (sqrt x))) (sqrt (sqrt (sqrt x)))) (sqrt (sqrt (sqrt x))))

simplify2.5s

Counts
120 → 120
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02071573
15361243
21626970
34879950
done5000950

prune100.0ms

Filtered
67 candidates to 120 candidates (-79.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh246
Picked101
Done022
Total1227129

Merged error: 0b

Counts
129 → 7

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
198
done98

end0.0ms

sample937.0ms

Algorithm
intervals
Results
251.0ms8584×body80valid
234.0ms8398×body80nan
0.0ms1×body1280valid

Profiling

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