Details

Time bar (total: 2.5s)

analyze4.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample10.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0119
1119

prune2.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 28.6b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

27.5b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1_binary64
3×pow-prod-down_binary64 sqrt-pow1_binary64
1×*-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 insert-posit16 sqrt-prod_binary64
Counts
1 → 13
Calls
1 calls:
5.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03609
13609
03609
13609
013
113

simplify266.0ms

Counts
16 → 16
Iterations

Useful iterations: 0 (249.0ms)

IterNodesCost
04714117
14714117

prune17.0ms

Filtered
11 candidates to 16 candidates (-45.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New11516
Fresh000
Picked011
Done000
Total11617

Merged error: 15.0b

Counts
17 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
27.5b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
27.5b
(sqrt.f64 (*.f64 x (*.f64 2 x)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
158×pow1_binary64
154×sqrt-pow1_binary64
82×pow-prod-down_binary64
33×sqrt-prod_binary64
26×add-sqr-sqrt_binary64
24×pow1/2_binary64
21×pow-prod-up_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64 pow-sqr_binary64
9×swap-sqr_binary64
7×associate-*r*_binary64 associate-*l*_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 unswap-sqr_binary64 insert-posit16
1×cbrt-unprod_binary64 rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 rem-sqrt-square_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 134
Calls
4 calls:
6.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
20.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
124.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
73.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
75.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
03609
13609
03609
13609
013
113
03609
13609
03609
13609
013
113
010329
110329
010329
110329
013
113
05169
15169
05169
15169
013
113

simplify101.0ms

Counts
146 → 146
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
049551177
149551177

prune72.0ms

Filtered
67 candidates to 146 candidates (-117.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1433146
Fresh134
Picked011
Done011
Total1448152

Merged error: 15.0b

Counts
152 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)))
19.2b
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3))
27.5b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
27.5b
(sqrt.f64 (*.f64 x (*.f64 x 2)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod_binary64
43×add-sqr-sqrt_binary64
38×sqrt-prod_binary64
23×associate-*r*_binary64
18×pow1_binary64 unpow-prod-down_binary64 cube-prod_binary64
17×*-un-lft-identity_binary64 add-cube-cbrt_binary64
14×unswap-sqr_binary64
7×pow-prod-down_binary64 associate-*l*_binary64
6×add-exp-log_binary64 sqrt-pow1_binary64
5×add-cbrt-cube_binary64
4×add-log-exp_binary64 sqr-pow_binary64 insert-posit16
2×pow1/2_binary64 unpow3_binary64 cube-mult_binary64
1×rem-cbrt-cube_binary64 cbrt-unprod_binary64 pow1/3_binary64 prod-exp_binary64 *-commutative_binary64
Counts
4 → 112
Calls
4 calls:
22.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)))
8.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)))
46.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3))
73.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
142.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
06709
16709
06709
16709
013
113
03609
13609
03609
13609
013
113
0349
1349
0349
1349
013
113
05979
15979
05979
15979
013
113

simplify97.0ms

Counts
124 → 124
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
054151887

prune82.0ms

Filtered
68 candidates to 124 candidates (-82.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1231124
Fresh145
Picked011
Done022
Total1248132

Merged error: 15.0b

Counts
132 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
0.5b
(cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
27.5b
(sqrt.f64 (*.f64 x (*.f64 x 2)))
27.5b
(sqrt.f64 (*.f64 x (*.f64 x 2)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64
8×cbrt-prod_binary64
6×pow-prod-down_binary64 *-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-pow1_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 insert-posit16 sqrt-prod_binary64
2×pow1/2_binary64 pow1/3_binary64
Counts
4 → 52
Calls
4 calls:
5.0ms
(cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
5.0ms
(cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
5.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
45.0ms
(cbrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))
145.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
145.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
06709
16709
06709
16709
013
113
06709
16709
06709
16709
013
113
0279
1279
0279
1279
013
113
0279
1279
0279
1279
013
113

simplify103.0ms

Counts
64 → 64
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
05183614

prune57.0ms

Filtered
48 candidates to 64 candidates (-33.3%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New62264
Fresh044
Picked011
Done033
Total621072

Merged error: 15.0b

Counts
72 → 10

regimes101.0ms

Accuracy

98.3% (0.3b remaining)

Error of 15.4b against oracle of 15.1b and baseline of 30.5b

bsearch16.0ms

Steps
ItersRangePoint
9
-3.7200702278433635e-302
2.1738515532578095e-306
-2.1487218123004e-310

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01626
11626

end0.0ms

sample266.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid

Profiling

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