Details

Time bar (total: 18.5s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
100%0%0%1

sample58.0ms

Algorithm
intervals
Results
34.0ms128×body160valid
15.0ms128×body80valid

simplify100.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
0510683

prune9.0ms

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: 14.0b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))))))
0.2b
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)
0.5b
(+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
14.0b
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
30×associate-*l*_binary64
22×*-un-lft-identity_binary64 add-exp-log_binary64 times-frac_binary64
20×add-cube-cbrt_binary64
14×add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 prod-exp_binary64
associate-*r*_binary64 unswap-sqr_binary64
flip3-+_binary64 flip-+_binary64
cbrt-unprod_binary64 associate-/r/_binary64 div-exp_binary64 insert-posit16
pow-prod-down_binary64 1-exp_binary64 cbrt-undiv_binary64 associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 rec-exp_binary64 div-inv_binary64 associate-+r+_binary64 frac-times_binary64 associate-*l/_binary64 *-commutative_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
4 → 108
Calls
4 calls:
13.0ms
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))))))
11.0ms
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)
5.0ms
(+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
5.0ms
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

series2.6s

Counts
4 → 12
Calls
4 calls:
733.0ms
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)))))))))
423.0ms
(*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496)
632.0ms
(+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))
807.0ms
(-.f64 1 (*.f64 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 2295300911148351/9007199254740992 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -5125037576950889/18014398509481984 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 6401478394306903/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (+.f64 -6544414927309881/4503599627370496 (*.f64 (/.f64 1 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) 4780145094533421/4503599627370496))))))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
012962517
112962517
053962330
012962517
112962517
053962330
04905242
14905242
08982195
18982195
049722056
149722056
08982195
18982195
049722056
149722056
04943174
14943174
04461697
14461697
048821660
148821660
04461697
14461697
048821660
148821660
0515160
010062329
110062329
050672180
010062329
110062329
050672180
04879202
14879202

simplify246.0ms

Counts
120 → 120
Iterations

Useful iterations: 0 (166.0ms)

IterNodesCost
049567280
149567280

prune519.0ms

Filtered
99 candidates to 120 candidates (-21.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1173120
Fresh101
Picked101
Done000
Total1193122

Merged error: 0.5b

Counts
122 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.1b
(/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b
(+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
14.0b
(-.f64 1 (*.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×times-frac_binary64
12×associate-/r/_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 flip-+_binary64
associate-/r*_binary64 associate-/l*_binary64
pow1_binary64 distribute-rgt-out_binary64 insert-posit16
cbrt-undiv_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 frac-add_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
4 → 90
Calls
4 calls:
6.0ms
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
6.0ms
(/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
49.0ms
(+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
4.0ms
(-.f64 1 (*.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))

series2.7s

Counts
4 → 12
Calls
4 calls:
454.0ms
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
453.0ms
(/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
811.0ms
(+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
934.0ms
(-.f64 1 (*.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (neg.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))))
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
014222507
114222507
052422424
014222507
114222507
052422424
05002270
011562319
111562319
057422286
011562319
111562319
057422286
04890230
14890230
03511673
13511673
049941660
149941660
03511673
13511673
049941660
149941660
0515160
03511673
13511673
049941660
149941660
03511673
13511673
049941660
149941660
0515160

simplify180.0ms

Counts
102 → 102
Iterations

Useful iterations: 0 (120.0ms)

IterNodesCost
048935149
148935149

prune401.0ms

Filtered
86 candidates to 102 candidates (-18.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1011102
Fresh022
Picked011
Done000
Total1014105

Merged error: 0.5b

Counts
105 → 4

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
0.5b
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
14.0b
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
14.0b
(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
14×add-cube-cbrt_binary64
times-frac_binary64
add-log-exp_binary64
log-pow_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 exp-prod_binary64
pow1_binary64
log-prod_binary64 difference-of-squares_binary64 insert-posit16
associate-/r*_binary64 associate-/l*_binary64
flip3-+_binary64 sub-neg_binary64 associate-/r/_binary64 distribute-lft-out--_binary64 flip-+_binary64
flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 exp-diff_binary64 clear-num_binary64 exp-sum_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 log-div_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
4 → 79
Calls
4 calls:
6.0ms
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
39.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
51.0ms
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
47.0ms
(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))

series3.0s

Counts
4 → 12
Calls
4 calls:
453.0ms
(/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))
725.0ms
(+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))
887.0ms
(-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
920.0ms
(log.f64 (exp.f64 (-.f64 1 (/.f64 (+.f64 2295300911148351/9007199254740992 (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))))
Iterations

Useful iterations: 0 (128.0ms)

IterNodesCost
014322420
114322420
050122318
014322420
114322420
050122318
04905242
14905242
013692384
113692384
055162318
013692384
113692384
055162318
04905242
14905242
09712099
19712099
055962056
09712099
19712099
055962056
04943174
14943174
03511673
13511673
049941660
149941660
03511673
13511673
049941660
149941660
0515160

simplify168.0ms

Counts
91 → 91
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
051146037

prune351.0ms

Filtered
80 candidates to 91 candidates (-13.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done011
Total91495

Merged error: 0.5b

Counts
95 → 4

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
0.5b
(*.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))
0.8b
(pow.f64 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) 3)
13.5b
(-.f64 1 (pow.f64 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) 3))

rewrite313.0ms

Algorithm
rewrite-expression-head
Rules
68×*-un-lft-identity_binary64
65×times-frac_binary64
64×associate-/r/_binary64
63×add-sqr-sqrt_binary64
38×add-cube-cbrt_binary64
35×flip3-+_binary64 flip-+_binary64
32×distribute-rgt-out_binary64 unpow-prod-down_binary64 cube-prod_binary64
19×associate-*l/_binary64
17×associate-*r/_binary64
16×associate-*r*_binary64
12×add-cbrt-cube_binary64 difference-of-squares_binary64
11×distribute-lft-out_binary64
10×add-exp-log_binary64
add-log-exp_binary64 associate-*l*_binary64
pow1_binary64
insert-posit16
pow-unpow_binary64 frac-add_binary64 sqr-pow_binary64 div-inv_binary64 frac-times_binary64
cbrt-unprod_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 rem-cube-cbrt_binary64 prod-exp_binary64 div-exp_binary64 pow-exp_binary64
pow-to-exp_binary64 pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 pow-pow_binary64 cube-div_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 unpow3_binary64 sum-log_binary64 *-commutative_binary64 cube-mult_binary64
Counts
4 → 167
Calls
4 calls:
56.0ms
(+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
117.0ms
(*.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))
54.0ms
(pow.f64 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) 3)
75.0ms
(-.f64 1 (pow.f64 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) 3))

series3.6s

Counts
4 → 12
Calls
4 calls:
810.0ms
(+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))))
1.1s
(*.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (/.f64 (+.f64 1 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))))
817.0ms
(pow.f64 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) 3)
878.0ms
(-.f64 1 (pow.f64 (/.f64 (+.f64 (/.f64 2295300911148351/9007199254740992 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))) (/.f64 (+.f64 -5125037576950889/18014398509481984 (/.f64 (+.f64 6401478394306903/4503599627370496 (/.f64 (+.f64 -6544414927309881/4503599627370496 (/.f64 4780145094533421/4503599627370496 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))))) (*.f64 (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x))) (+.f64 1 (*.f64 1475339155889891/4503599627370496 (fabs.f64 x)))))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) 3))
Iterations

Useful iterations: 0 (155.0ms)

IterNodesCost
016332518
116332518
049362460
149362460
016332518
116332518
049362460
149362460
05055278
016102491
116102491
050912442
016102491
116102491
050912442
04978272
14978272
017723419
117723419
049733330
149733330
017723419
117723419
049733330
149733330
04880506
14880506
011562319
111562319
057422286
011562319
111562319
057422286
04890230
14890230

simplify288.0ms

Counts
179 → 179
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0517826041

prune2.0s

Filtered
104 candidates to 179 candidates (-72.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1781179
Fresh011
Picked101
Done022
Total1794183

Merged error: 0.5b

Counts
183 → 4

regimes102.0ms

Accuracy

99.8% (0.0b remaining)

Error of 0.8b against oracle of 0.8b and baseline of 13.9b

bsearch2.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
0184114
1184114

end0.0ms

sample1.5s

Algorithm
intervals
Results
942.0ms3950×body160valid
502.0ms4050×body80valid

Profiling

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