Details

Time bar (total: 4.7s)

analyze13.0ms

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

sample21.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify334.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (189.0ms)

IterNodesCost
047229
147229

prune6.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 29.3b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
28.2b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 sqrt-pow1_binary64 prod-exp_binary64
add-log-exp_binary64 insert-posit16
pow1/2_binary64 associate-*r*_binary64 unswap-sqr_binary64 sqrt-prod_binary64 *-commutative_binary64
Counts
2 → 33
Calls
2 calls:
7.0ms
(*.f64 2 (*.f64 x x))
204.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))

series487.0ms

Counts
2 → 6
Calls
2 calls:
233.0ms
(*.f64 2 (*.f64 x x))
254.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
0375818
1375818
093307
193307
0375818
1375818
093307
193307
03663
13663
0263357
1263357
03133
13133
0263357
1263357
03133
13133
02439
12439

simplify144.0ms

Counts
39 → 39
Iterations

Useful iterations: 0 (125.0ms)

IterNodesCost
04797372
14797372

prune28.0ms

Filtered
25 candidates to 39 candidates (-56.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0.2b

Counts
40 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b
(*.f64 (sqrt.f64 2) (fabs.f64 x))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
associate-*l*_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
unswap-sqr_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
1 → 23
Calls
1 calls:
6.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

series430.0ms

Counts
1 → 3
Calls
1 calls:
430.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
01721646
11721646
048471619
148471619
01721646
11721646
048471619
148471619
0496047
1496047

simplify105.0ms

Counts
26 → 26
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04896301
14896301

prune24.0ms

Filtered
19 candidates to 26 candidates (-36.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New21526
Fresh303
Picked011
Done011
Total24731

Merged error: 0.0b

Counts
31 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.2b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*l*_binary64 sqrt-prod_binary64
unswap-sqr_binary64
add-log-exp_binary64 insert-posit16 *-commutative_binary64
Counts
2 → 50
Calls
2 calls:
9.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
14.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

series1.1s

Counts
2 → 6
Calls
2 calls:
510.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
570.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
02851790
12851790
046801628
146801628
02851790
12851790
046801628
146801628
0496047
1496047
01541664
11541664
050591644
01541664
11541664
050591644
0496153
1496153

simplify132.0ms

Counts
56 → 56
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
05093694

prune45.0ms

Filtered
37 candidates to 56 candidates (-51.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh224
Picked011
Done112
Total58563

Merged error: 0b

Counts
63 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (fabs.f64 x))
0.3b
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (fabs.f64 x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×associate-*l*_binary64
20×add-sqr-sqrt_binary64
17×add-exp-log_binary64
14×cbrt-prod_binary64
12×unpow-prod-down_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64 prod-exp_binary64
add-cbrt-cube_binary64 sqrt-prod_binary64
unswap-sqr_binary64
pow1_binary64 cbrt-unprod_binary64 associate-*r*_binary64
pow-to-exp_binary64 add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64 insert-posit16 pow-exp_binary64 *-commutative_binary64
pow-prod-down_binary64
Counts
2 → 62
Calls
2 calls:
9.0ms
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (fabs.f64 x))
12.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (fabs.f64 x)))

series856.0ms

Counts
2 → 6
Calls
2 calls:
451.0ms
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (fabs.f64 x))
405.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2) (fabs.f64 x)))
Iterations

Useful iterations: 0 (148.0ms)

IterNodesCost
03341754
13341754
048841628
148841628
03341754
13341754
048841628
148841628
0496047
1496047
02261691
12261691
053491668
02261691
12261691
053491668
0502759

simplify128.0ms

Counts
68 → 68
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
05162999

prune53.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done022
Total68573

Merged error: 0b

Counts
73 → 5

regimes15.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01124
11124

end0.0ms

sample533.0ms

Algorithm
intervals
Results
427.0ms8000×body80valid
0.0msbody80invalid

Profiling

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