Details

Time bar (total: 2.2s)

analyze286.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
31.2%68.6%0.1%8
35.9%60.8%3.3%9
44.1%48%7.9%10
54.8%36.9%8.3%11
57.6%31.5%10.9%12
61.9%24%14.1%13
67.2%18.6%14.2%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms21×body80invalid

simplify53.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051113
151113

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

1.7b
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
sub-neg_binary64 associate-*r/_binary64
pow-prod-down_binary64 add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 flip--_binary64 *-commutative_binary64
Counts
1 → 23
Calls
1 calls:
8.0ms
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(*.f64 x (-.f64 1 (*.f64 (-.f64 1 y) z)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0559
1559
0559
1559
013
113

simplify102.0ms

Counts
26 → 26
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
04938367
14938367

prune25.0ms

Filtered
18 candidates to 26 candidates (-44.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New20626
Fresh000
Picked011
Done000
Total20727

Merged error: 1.7b

Counts
27 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))
0.0b
(-.f64 (*.f64 y z) z)
1.7b
(*.f64 x (-.f64 (*.f64 y z) z))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-log-exp_binary64 add-sqr-sqrt_binary64
sub-neg_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
associate-*l*_binary64 insert-posit16
flip3--_binary64 distribute-rgt-out--_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip--_binary64 associate-+r+_binary64
pow-prod-down_binary64 flip3-+_binary64 diff-log_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 51
Calls
3 calls:
5.0ms
(+.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))
5.0ms
(-.f64 (*.f64 y z) z)
9.0ms
(*.f64 x (-.f64 (*.f64 y z) z))

series162.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+.f64 x (*.f64 x (-.f64 (*.f64 y z) z)))
56.0ms
(-.f64 (*.f64 y z) z)
52.0ms
(*.f64 x (-.f64 (*.f64 y z) z))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0449
1449
0449
1449
013
113
01499
11499
01499
11499
013
113
0589
1589
0589
1589
013
113

simplify100.0ms

Counts
60 → 60
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
05398722

prune42.0ms

Filtered
45 candidates to 60 candidates (-33.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New58260
Fresh235
Picked101
Done011
Total61667

Merged error: 0.0b

Counts
67 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 x z) (-.f64 y 1)))
3.2b
(*.f64 (*.f64 x z) (-.f64 y 1))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
pow1_binary64 associate-*r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-log-exp_binary64 sub-neg_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 prod-exp_binary64
associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 insert-posit16 associate-+r+_binary64
flip3-+_binary64 flip3--_binary64 difference-of-sqr-1_binary64 associate-*l*_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 41
Calls
2 calls:
5.0ms
(+.f64 x (*.f64 (*.f64 x z) (-.f64 y 1)))
10.0ms
(*.f64 (*.f64 x z) (-.f64 y 1))

series107.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(+.f64 x (*.f64 (*.f64 x z) (-.f64 y 1)))
52.0ms
(*.f64 (*.f64 x z) (-.f64 y 1))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
0409
1409
0409
1409
013
113
0549
1549
0549
1549
013
113

simplify59.0ms

Counts
47 → 47
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05569580

prune30.0ms

Filtered
32 candidates to 47 candidates (-46.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New46147
Fresh044
Picked011
Done011
Total46753

Merged error: 0.0b

Counts
53 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(*.f64 x (*.f64 (cbrt.f64 (-.f64 (*.f64 y z) z)) (cbrt.f64 (-.f64 (*.f64 y z) z))))
2.2b
(cbrt.f64 (-.f64 (*.f64 y z) z))
2.2b
(cbrt.f64 (-.f64 (*.f64 y z) z))
2.2b
(cbrt.f64 (-.f64 (*.f64 y z) z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64
12×cbrt-prod_binary64
11×*-un-lft-identity_binary64
10×associate-*r/_binary64
pow1_binary64 flip3--_binary64 add-exp-log_binary64 add-sqr-sqrt_binary64 flip--_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 insert-posit16 frac-times_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-rgt-out--_binary64 pow1/3_binary64 associate-*l*_binary64 prod-exp_binary64
associate-*l/_binary64
associate-*r*_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
4 → 73
Calls
4 calls:
18.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 (*.f64 y z) z)) (cbrt.f64 (-.f64 (*.f64 y z) z))))
5.0ms
(cbrt.f64 (-.f64 (*.f64 y z) z))
5.0ms
(cbrt.f64 (-.f64 (*.f64 y z) z))
5.0ms
(cbrt.f64 (-.f64 (*.f64 y z) z))

series207.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(*.f64 x (*.f64 (cbrt.f64 (-.f64 (*.f64 y z) z)) (cbrt.f64 (-.f64 (*.f64 y z) z))))
49.0ms
(cbrt.f64 (-.f64 (*.f64 y z) z))
50.0ms
(cbrt.f64 (-.f64 (*.f64 y z) z))
52.0ms
(cbrt.f64 (-.f64 (*.f64 y z) z))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0439
1439
0439
1439
013
113
0439
1439
0439
1439
013
113
0439
1439
0439
1439
013
113
0549
1549
0549
1549
013
113

simplify107.0ms

Counts
85 → 85
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
049951405
149951405

prune65.0ms

Filtered
67 candidates to 85 candidates (-26.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New84185
Fresh044
Picked011
Done022
Total84892

Merged error: 0b

Counts
92 → 8

regimes187.0ms

Accuracy

20.4% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.2b

bsearch33.0ms

Steps
ItersRangePoint
9
1.739056231064165e+219
1.9771683828369248e+226
5.5740362056955766e+222
7
7.05627566164963e-37
1.545383487095441e-35
7.250583755579476e-37

simplify11.0ms

Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
014840
114840

end0.0ms

sample402.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid
18.0ms695×body80invalid

Profiling

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