Details

Time bar (total: 8.1s)

sample68.0ms

Algorithm
intervals
Results
26.0ms112×body5120exit
8.0ms204×body80valid
5.0ms126×body80overflowed
3.0ms27×body320valid
2.0ms13×body640valid
1.0ms12×body160valid

simplify977.0ms

Counts
1 → 1
Iterations

Useful iterations: 5 (89.0ms)

IterNodesCost
0816
12015
24815
310715
421315
5102612
done500112

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- wj (/ x (exp wj))) (+ wj 1))
0.2b
(/ x (exp wj))
4.2b
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×*-un-lft-identity
39×times-frac
23×add-cube-cbrt
12×difference-of-squares
associate-/l*
associate-/r* add-cbrt-cube distribute-lft-out
add-exp-log distribute-lft-out--
add-log-exp
pow1
cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num associate-/r/ flip-- div-inv associate-/l/
sub-neg flip3-+ diff-log flip-+ associate--r-
Counts
3 → 94
Calls
3 calls:
12.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
9.0ms
(/ x (exp wj))
17.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(/ (- wj (/ x (exp wj))) (+ wj 1))
8.0ms
(/ x (exp wj))
11.0ms
(- wj (/ (- wj (/ x (exp wj))) (+ wj 1)))

simplify756.0ms

Counts
103 → 103
Iterations

Useful iterations: done (752.0ms)

IterNodesCost
01741576
14141496
210661438
330011431
done50001428

prune140.0ms

Filtered
75 candidates to 103 candidates (-37.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New985103
Fresh101
Picked101
Done000
Total1005105

Merged error: 0.4b

Counts
105 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* wj (- wj (* 2 x))))
0.2b
(* wj (- wj (* 2 x)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ *-un-lft-identity distribute-lft-in add-cbrt-cube add-log-exp
associate-*r* associate-*l*
associate-*r/
+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
2 → 39
Calls
2 calls:
4.0ms
(+ x (* wj (- wj (* 2 x))))
6.0ms
(* wj (- wj (* 2 x)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(+ x (* wj (- wj (* 2 x))))
7.0ms
(* wj (- wj (* 2 x)))

simplify659.0ms

Counts
45 → 45
Iterations

Useful iterations: 3 (177.0ms)

IterNodesCost
070507
1194476
2552446
31857432
done5001432

prune79.0ms

Filtered
29 candidates to 45 candidates (-55.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New42345
Fresh044
Picked101
Done000
Total43750

Merged error: 0.4b

Counts
50 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt wj) (cbrt wj))
0.6b
(cbrt wj)
0.6b
(cbrt wj)
0.6b
(cbrt wj)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt wj) (cbrt wj))
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)
1.0ms
(cbrt wj)

series106.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cbrt wj) (cbrt wj))
28.0ms
(cbrt wj)
24.0ms
(cbrt wj)
25.0ms
(cbrt wj)

simplify751.0ms

Counts
85 → 85
Iterations

Useful iterations: 4 (319.0ms)

IterNodesCost
076590
1151526
2449466
31164417
42497378
done5001378

prune120.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82385
Fresh156
Picked101
Done000
Total84892

Merged error: 0.4b

Counts
92 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt wj))
0.6b
(cbrt (cbrt wj))
0.6b
(cbrt (cbrt wj))
0.9b
(pow (cbrt (cbrt wj)) 4)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 add-exp-log
pow1/3 add-cbrt-cube add-log-exp
pow-unpow
pow-pow
pow-to-exp pow-exp sqr-pow
Counts
4 → 66
Calls
4 calls:
2.0ms
(cbrt (cbrt wj))
2.0ms
(cbrt (cbrt wj))
2.0ms
(cbrt (cbrt wj))
5.0ms
(pow (cbrt (cbrt wj)) 4)

series154.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (cbrt wj))
37.0ms
(cbrt (cbrt wj))
34.0ms
(cbrt (cbrt wj))
49.0ms
(pow (cbrt (cbrt wj)) 4)

simplify1.7s

Counts
78 → 78
Iterations

Useful iterations: 4 (706.0ms)

IterNodesCost
080633
1168586
2410514
31232483
44190470
done5001470

prune110.0ms

Filtered
57 candidates to 78 candidates (-36.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New77178
Fresh077
Picked101
Done000
Total78886

Merged error: 0.4b

Counts
86 → 8

regimes147.0ms

Accuracy

81.9% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 6.3b

bsearch38.0ms

Steps
ItersRangePoint
9
3.068084326862795e-12
1.1764544588561992e-06
9.930500966559645e-09
7
-4.2981566118647154e-308
8.126837495347253e-308
-3.86844655417045e-310

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04076
15276
done5276

end0.0ms

sample2.1s

Algorithm
intervals
Results
938.0ms3849×body5120exit
249.0ms6341×body80valid
153.0ms3976×body80overflowed
95.0ms768×body320valid
82.0ms432×body640valid
45.0ms534×body160valid

Profiling

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