Details

Time bar (total: 5.4s)

sample14.0ms

Algorithm
intervals
Results
7.0ms257×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
056
186
2106
done106

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.1b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

27.0b
(sqrt (* 2.0 (* x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1
3×sqrt-pow1 pow-prod-down
1×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow1/2 sqrt-prod add-cbrt-cube add-log-exp
Counts
1 → 12
Calls
1 calls:
6.0ms
(sqrt (* 2.0 (* x x)))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(sqrt (* 2.0 (* x x)))

simplify913.0ms

Counts
15 → 15
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
02099
13382
26478
38378
49178
510378
613578
721678
846978
9150078
done500078

prune46.0ms

Filtered
11 candidates to 15 candidates (-36.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New10515
Fresh000
Picked101
Done000
Total11516

Merged error: 0.2b

Counts
16 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (sqrt 2.0) (fabs x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×associate-*l*
4×add-cube-cbrt *-un-lft-identity sqrt-prod
3×pow1 add-exp-log associate-*r* add-cbrt-cube
2×unswap-sqr
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp
Counts
1 → 22
Calls
1 calls:
5.0ms
(* (sqrt 2.0) (fabs x))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (sqrt 2.0) (fabs x))

simplify835.0ms

Counts
25 → 25
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
035186
167176
2196166
3446163
4718163
51102163
62350163
done5000163

prune48.0ms

Filtered
15 candidates to 25 candidates (-66.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20525
Fresh314
Picked011
Done000
Total23730

Merged error: 0.0b

Counts
30 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (cbrt (sqrt 2.0)) (fabs x))
0.3b
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-sqr-sqrt
10×associate-*l*
9×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
8×cbrt-prod
6×add-cube-cbrt *-un-lft-identity
4×associate-*r* sqrt-prod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 48
Calls
2 calls:
6.0ms
(* (cbrt (sqrt 2.0)) (fabs x))
12.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (cbrt (sqrt 2.0)) (fabs x))
4.0ms
(* (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))) (* (cbrt (sqrt 2.0)) (fabs x)))

simplify1.5s

Counts
54 → 54
Iterations

Useful iterations: done (1.5s)

IterNodesCost
067679
1160659
2625446
33209380
done5000370

prune105.0ms

Filtered
30 candidates to 54 candidates (-80.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New53154
Fresh055
Picked011
Done011
Total53861

Merged error: 0b

Counts
61 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (sqrt (sqrt 2.0)) (fabs x))
0.3b
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod
18×associate-*l*
15×add-sqr-sqrt
9×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×unswap-sqr
2×*-commutative add-log-exp
Counts
2 → 50
Calls
2 calls:
6.0ms
(* (sqrt (sqrt 2.0)) (fabs x))
10.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs x)))

series10.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (sqrt (sqrt 2.0)) (fabs x))
4.0ms
(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (fabs x)))

simplify1.2s

Counts
56 → 56
Iterations

Useful iterations: 3 (168.0ms)

IterNodesCost
057590
1128478
2433421
3994410
41485410
53193410
done5001410

prune89.0ms

Filtered
36 candidates to 56 candidates (-55.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh235
Picked011
Done112
Total58664

Merged error: 0b

Counts
64 → 6

regimes120.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
11216
done1216

end0.0ms

sample339.0ms

Algorithm
intervals
Results
205.0ms8006×body80valid

Profiling

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