Given's Rotation SVD example

Time bar (total: 9.0s)

analyze536.0ms (5.9%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%48.6%51.4%0%0%0%0
0%0%48.6%51.4%0%0%0%1
50%24.3%24.3%51.4%0%0%0%2
50%24.3%24.3%51.4%0%0%0%3
62.5%30.4%18.2%51.4%0%0%0%4
62.5%30.4%18.2%51.4%0%0%0%5
68.8%33.4%15.2%51.4%0%0%0%6
68.8%33.4%15.2%51.4%0%0%0%7
71.1%34.6%14.1%51.4%0%0%0%8
71.5%34.8%13.9%51.4%0%0%0%9
72.9%35.4%13.2%51.4%0%0%0%10
73.1%35.6%13.1%51.4%0%0%0%11
73.9%35.9%12.7%51.4%0%0%0%12
Compiler

Compiled 28 to 20 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
Operation ival-mult, time spent: 75.0ms, 35.0% of total-time
Operation ival-sqrt, time spent: 40.0ms, 19.0% of total-time
Operation ival-add, time spent: 33.0ms, 15.0% of total-time
Operation ival-<, time spent: 21.0ms, 10.0% of total-time
Operation ival-div, time spent: 20.0ms, 9.0% of total-time
Operation ival-fabs, time spent: 15.0ms, 7.0% of total-time
Operation const, time spent: 7.0ms, 3.0% of total-time
Operation ival-and, time spent: 3.0ms, 1.0% of total-time

sample3.0s (32.8%)

Results
1.5s6444×256valid
514.0ms779×2048valid
225.0ms508×1024valid
281.0ms264×4096valid
82.0ms260×512valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
Operation ival-mult, time spent: 492.0ms, 32.0% of total-time
Operation ival-<, time spent: 402.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 236.0ms, 15.0% of total-time
Operation ival-add, time spent: 163.0ms, 11.0% of total-time
Operation ival-div, time spent: 130.0ms, 8.0% of total-time
Operation ival-fabs, time spent: 67.0ms, 4.0% of total-time
Operation const, time spent: 40.0ms, 3.0% of total-time
Operation ival-and, time spent: 18.0ms, 1.0% of total-time
Bogosity

preprocess623.0ms (6.9%)

Algorithm
egg-herbie
Rules
1558×fma-define
848×fma-neg
254×distribute-lft-neg-in
218×unsub-neg
198×associate-*l*
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
570-0-(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
320-0-(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
260-1(1.5370338248002648e-282 -1.7478598003570063e-126)(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
00-0-x
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 #s(literal 4 binary64) p)
00-0-(*.f64 (*.f64 #s(literal 4 binary64) p) p)
00-0-(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))
00-0-p
00-0-(*.f64 x x)
00-0-#s(literal 4 binary64)
00-0-(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
00-0-#s(literal 1 binary64)
00-0-(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048458
1116442
2225422
3463414
4812414
51330414
61995414
72498414
82755414
93060414
103178414
113242414
123248414
133249414
Stop Event
saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x)))))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 p (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 p p)))))))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))) #s(literal 1/2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x))))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64)))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p)) (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (neg.f64 p)) (neg.f64 p) (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p)))))))))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 (neg.f64 x) (neg.f64 x)))))))))
(neg.f64 (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) p) p (*.f64 x x))))))))
(neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p)))))))))
(neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))))
(neg.f64 (sqrt.f64 (fma.f64 (/.f64 x (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(neg.f64 (sqrt.f64 (fma.f64 x (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (fma.f64 x x (*.f64 #s(literal 4 binary64) (*.f64 p p))))) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 p (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) (*.f64 p p)))))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 p (sqrt.f64 (fma.f64 (*.f64 x #s(literal 4 binary64)) x (*.f64 p p)))))))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) p) (sqrt.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 p p))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 p (sqrt.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 p p)))) #s(literal 1/2 binary64)))
Symmetry

(abs p)

Compiler

Compiled 213 to 126 computations (40.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 230.0ms
Operation ival-mult, time spent: 113.0ms, 49.0% of total-time
Operation ival-sqrt, time spent: 41.0ms, 18.0% of total-time
Operation ival-add, time spent: 40.0ms, 17.0% of total-time
Operation ival-div, time spent: 29.0ms, 13.0% of total-time
Operation const, time spent: 8.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 49 to 33 computations (32.7% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
78.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
Compiler

Compiled 19 to 14 computations (26.3% saved)

localize208.0ms (2.3%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
90.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
88.3%
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
79.4%
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
Compiler

Compiled 97 to 56 computations (42.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 118.0ms
Operation ival-mult, time spent: 53.0ms, 45.0% of total-time
Operation ival-sqrt, time spent: 22.0ms, 19.0% of total-time
Operation ival-add, time spent: 22.0ms, 19.0% of total-time
Operation ival-div, time spent: 16.0ms, 14.0% of total-time
Operation const, time spent: 5.0ms, 4.0% of total-time

series30.0ms (0.3%)

Counts
4 → 96
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))>
Outputs
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))>
#<alt (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))>
#<alt (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -2 binary64) p)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) p)>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (*.f64 #s(literal 2 binary64) p))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))>
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#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 p #s(literal 3 binary64)))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 3 binary64))))) p)) (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) p)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))>
Calls

24 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
3.0ms
x
@inf
(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))
2.0ms
x
@-inf
(* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x))))))
2.0ms
x
@inf
(sqrt (* 1/2 (+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))))
2.0ms
x
@-inf
(+ 1 (/ x (sqrt (+ (* (* 4 p) p) (* x x)))))

rewrite261.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1332×log-prod
968×fma-define
802×log1p-expm1-u
802×expm1-log1p-u
458×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020197
1269137
23576129
Stop Event
node limit
Counts
4 → 144
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (cbrt.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(*.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(*.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) p) #s(literal 3 binary64))) (hypot.f64 (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 2 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(log.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(cbrt.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
(log1p.f64 (expm1.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(exp.f64 (log.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (/.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
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(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
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(fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (*.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))

simplify211.0ms (2.3%)

Algorithm
egg-herbie
Rules
908×fma-define
738×*-commutative
716×associate-*r*
572×associate-*l*
512×cancel-sign-sub-inv
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
074214344
1197913806
2668513499
Stop Event
node limit
Counts
240 → 400
Calls
Call 1
Inputs
x
(+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal 2 binary64) p)
(*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) p)
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) p)
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (*.f64 #s(literal 2 binary64) p))
(+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/256 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 p #s(literal 2 binary64)))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 6 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -20 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 x p)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x p)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x)) p)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) x))) p)))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal -3/128 binary64) (/.f64 (*.f64 x (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 p #s(literal 3 binary64)))))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64))))) (*.f64 p (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) x))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (*.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
Outputs
x
(+.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) x) x)
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) x)
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(+.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 2 binary64) x))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) x)
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 2 binary64) x)) x)
(*.f64 #s(literal 2 binary64) p)
(*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))
(*.f64 p (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 #s(literal -2 binary64) p)
(*.f64 p #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(neg.f64 (*.f64 p (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 p))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(neg.f64 (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 p (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 p (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(neg.f64 (*.f64 p (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))))))))
(*.f64 p (neg.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 p #s(literal 4 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 p #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))))))))
(*.f64 #s(literal 2 binary64) p)
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)) (*.f64 #s(literal 2 binary64) p))
(fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p) (*.f64 #s(literal 2 binary64) p))
(fma.f64 #s(literal 2 binary64) p (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) p)))
(+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(fma.f64 #s(literal 2 binary64) p (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
(+.f64 (*.f64 #s(literal 2 binary64) p) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(fma.f64 #s(literal 2 binary64) p (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal 1/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/64 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)) (*.f64 #s(literal 2 binary64) p))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (/.f64 (pow.f64 p #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) x)
(neg.f64 x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))))
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#s(literal 1 binary64)
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#s(literal 2 binary64)
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#s(literal 2 binary64)
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(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
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#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) (/.f64 x p) #s(literal 1 binary64))
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#s(literal 1 binary64)
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#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
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#s(literal 1/2 binary64)
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(fma.f64 (/.f64 x p) #s(literal -1/4 binary64) #s(literal 1/2 binary64))
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(+.f64 #s(literal 0 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
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(*.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 1 binary64))
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(pow.f64 (pow.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(pow.f64 (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))
(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
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(hypot.f64 x (*.f64 #s(literal 2 binary64) p))
(hypot.f64 (*.f64 #s(literal 2 binary64) p) x)
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(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (neg.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)) (*.f64 #s(literal -1/4 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (+.f64 #s(literal -1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (-.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64)))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (+.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (+.f64 #s(literal -1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(log.f64 (exp.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(exp.f64 (log.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (*.f64 (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (cbrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (sqrt.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))

eval256.0ms (2.8%)

Compiler

Compiled 11333 to 9099 computations (19.7% saved)

prune73.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New39010400
Fresh000
Picked101
Done000
Total39110401
Accuracy
99.8%
Counts
401 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.3%
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
13.8%
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
16.5%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
78.8%
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
49.5%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
51.4%
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
5.8%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
38.2%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
53.1%
(sqrt.f64 #s(literal 1/2 binary64))
26.2%
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
Compiler

Compiled 252 to 206 computations (18.3% saved)

localize268.0ms (3%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
92.5%
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
74.1%
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
98.8%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
100.0%
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
96.6%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
100.0%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
100.0%
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
Compiler

Compiled 143 to 100 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
Operation ival-mult, time spent: 52.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 37.0ms, 22.0% of total-time
Operation composed, time spent: 36.0ms, 21.0% of total-time
Operation ival-div, time spent: 18.0ms, 10.0% of total-time
Operation ival-add, time spent: 11.0ms, 6.0% of total-time
Operation ival-pow, time spent: 11.0ms, 6.0% of total-time
Operation const, time spent: 6.0ms, 3.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series37.0ms (0.4%)

Counts
7 → 96
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))>
#<alt (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
Outputs
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
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#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 x p)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (sqrt.f64 (/.f64 (pow.f64 p #s(literal 5 binary64)) (pow.f64 x #s(literal 7 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x p)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) x)))) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 p (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x))))))) p)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 p x))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p x)))) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 p (pow.f64 x #s(literal 5 binary64))))))))))) p)>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) p)))>
#<alt (+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 p (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64)))))) p)) (*.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))))) p)))>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
Calls

36 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2))
3.0ms
x
@-inf
(sqrt (+ 1/2 (* 1/4 (/ x p))))
2.0ms
x
@inf
(sqrt (+ (/ (* 1/2 x) (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))) 1/2))
1.0ms
x
@inf
(sqrt (+ 1/2 (* 1/4 (/ x p))))
1.0ms
p
@0
(sqrt (+ 1/2 (* 1/4 (/ x p))))

rewrite182.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
970×prod-diff
888×log1p-expm1-u
276×associate-*r*
208×associate-*l*
188×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028181
1446151
25619151
Stop Event
node limit
Counts
7 → 199
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 x (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 x (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (cbrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) x)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
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(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 1 binary64))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(/.f64 (neg.f64 (*.f64 x #s(literal 1/4 binary64))) (neg.f64 p))
(/.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 x)) (neg.f64 p))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/4 binary64)) (neg.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) p)
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (sqrt.f64 p)) (sqrt.f64 p))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 x p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(*.f64 p (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 p x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 p x))
(*.f64 (cbrt.f64 (/.f64 p x)) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 p x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 p (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(/.f64 p x)
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(fabs.f64 (/.f64 p x))
(log.f64 (exp.f64 (/.f64 p x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(exp.f64 (log.f64 (/.f64 p x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 p (/.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 p (*.f64 p (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 p x) (/.f64 p x))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 p x)) (/.f64 p x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 p x)) (*.f64 (sqrt.f64 (/.f64 p x)) (/.f64 p x)))
(*.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 p x) (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 p #s(literal 2 binary64)) x))
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(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
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(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 p x) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 p x)))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify184.0ms (2%)

Algorithm
egg-herbie
Rules
774×*-commutative
772×associate-*r*
768×fma-define
646×associate-*l*
532×associate-*r/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
080412774
1200512187
2660712159
Stop Event
node limit
Counts
295 → 388
Calls
Call 1
Inputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
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#s(literal 1 binary64)
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#s(literal 1 binary64)
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(sqrt.f64 #s(literal 1/2 binary64))
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#s(literal 1/2 binary64)
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#s(literal -1/2 binary64)
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#s(literal 1/2 binary64)
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(neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 x p)))))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/4 binary64) (/.f64 p x))
(/.f64 #s(literal 1 binary64) (/.f64 p (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (*.f64 x #s(literal 1/4 binary64)) p)
(/.f64 (neg.f64 (*.f64 x #s(literal 1/4 binary64))) (neg.f64 p))
(/.f64 (*.f64 #s(literal 1/4 binary64) (neg.f64 x)) (neg.f64 p))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1/4 binary64)) (neg.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) p)
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) (cbrt.f64 p))
(/.f64 (/.f64 (*.f64 x #s(literal 1/4 binary64)) (sqrt.f64 p)) (sqrt.f64 p))
(pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (/.f64 x p)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 p x))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 (log1p.f64 (/.f64 p x))) #s(literal 1 binary64))
(*.f64 p (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 p (sqrt.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 p x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 p x))
(*.f64 (cbrt.f64 (/.f64 p x)) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 p x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 p (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(/.f64 p x)
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(fabs.f64 (/.f64 p x))
(log.f64 (exp.f64 (/.f64 p x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 p x))))
(cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(exp.f64 (log.f64 (/.f64 p x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 p (/.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 p (*.f64 p (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 p x) (/.f64 p x))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 p x)) (/.f64 p x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 p x)) (*.f64 (sqrt.f64 (/.f64 p x)) (/.f64 p x)))
(*.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 p x) (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 p #s(literal 2 binary64)) x))
(*.f64 (/.f64 p #s(literal 1 binary64)) (/.f64 p (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 p (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) x) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 p x) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 p x)))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1 binary64)))
Outputs
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 x (sqrt.f64 #s(literal 1/2 binary64))) p) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 x (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1/512 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p)))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/512 binary64) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/128 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 p #s(literal 2 binary64)))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) p))) (sqrt.f64 #s(literal 1/2 binary64)))
#s(literal 1 binary64)
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(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 1 binary64)))
(/.f64 p x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 p (/.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 p (*.f64 p (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (/.f64 p x) (/.f64 p x))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 p x) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 p #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (/.f64 p x)) (/.f64 p x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (*.f64 (/.f64 p x) (cbrt.f64 (/.f64 p x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (/.f64 p x)) (*.f64 (sqrt.f64 (/.f64 p x)) (/.f64 p x)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 p x) (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 p #s(literal 2 binary64)) x))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (/.f64 p #s(literal 1 binary64)) (/.f64 p (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (/.f64 p (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 p (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) x) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) x))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 p #s(literal 4 binary64))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (/.f64 p x) (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))) (cbrt.f64 (/.f64 p x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (*.f64 (/.f64 p x) (cbrt.f64 (/.f64 p x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 3 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(pow.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(neg.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(neg.f64 (/.f64 (neg.f64 (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 p #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(exp.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 p x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))

eval197.0ms (2.2%)

Compiler

Compiled 8541 to 6515 computations (23.7% saved)

prune399.0ms (4.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3835388
Fresh505
Picked235
Done000
Total3908398
Accuracy
100.0%
Counts
398 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.6%
(/.f64 (neg.f64 p) x)
6.3%
(/.f64 p x)
18.9%
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64)))
78.8%
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
78.8%
(sqrt.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64)))
49.5%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
53.1%
(sqrt.f64 #s(literal 1/2 binary64))
38.2%
#s(literal 1 binary64)
Compiler

Compiled 112 to 89 computations (20.5% saved)

localize744.0ms (8.2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
99.6%
(pow.f64 (/.f64 x p) #s(literal 2 binary64))
64.8%
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64)))
100.0%
(expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
90.7%
(sqrt.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64)))
88.3%
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64))
61.9%
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
Compiler

Compiled 139 to 90 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 725.0ms
Operation composed, time spent: 239.0ms, 33.0% of total-time
Operation ival-mult, time spent: 130.0ms, 18.0% of total-time
Operation ival-log, time spent: 74.0ms, 10.0% of total-time
Operation ival-exp, time spent: 58.0ms, 8.0% of total-time
Operation ival-div, time spent: 52.0ms, 7.0% of total-time
Operation ival-sqrt, time spent: 51.0ms, 7.0% of total-time
Operation ival-add, time spent: 48.0ms, 7.0% of total-time
Operation ival-pow, time spent: 39.0ms, 5.0% of total-time
Operation ival-sub, time spent: 19.0ms, 3.0% of total-time
Operation const, time spent: 12.0ms, 2.0% of total-time
Operation ival-neg, time spent: 3.0ms, 0.0% of total-time

series23.0ms (0.3%)

Counts
7 → 168
Calls
Call 1
Inputs
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))>
#<alt (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64)))>
#<alt (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))>
#<alt (sqrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64)))>
#<alt (pow.f64 (/.f64 x p) #s(literal 2 binary64))>
#<alt (pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))>
Outputs
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))>
#<alt #s(literal -1/2 binary64)>
#<alt (-.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))>
#<alt #s(literal 1/2 binary64)>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 x p))>
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#<alt (/.f64 p x)>
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#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
Calls

42 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(sqrt (+ (log (+ 1 (- (exp (* 1/2 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 1))) 1/2))
1.0ms
x
@-inf
(- (exp (* 1/2 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 1)
1.0ms
x
@inf
(- (exp (* 1/2 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 1)
1.0ms
p
@inf
(- (exp (* 1/2 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 1)
1.0ms
x
@0
(- (exp (* 1/2 (/ x (sqrt (+ (* x x) (* (* 2 p) (* 2 p))))))) 1)

rewrite170.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1002×log1p-expm1-u
824×prod-diff
692×expm1-log1p-u
204×associate-*r*
152×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025217
1348199
24266199
Stop Event
node limit
Counts
7 → 243
Calls
Call 1
Inputs
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64))
(sqrt.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 x p) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64))
Outputs
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x p) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 p x) (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(*.f64 (*.f64 (/.f64 p x) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64))))
(/.f64 (/.f64 p x) (/.f64 x p))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 x p) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 x p))))
(exp.f64 (*.f64 (log.f64 (/.f64 x p)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 x p))) #s(literal 1 binary64)))

simplify176.0ms (1.9%)

Algorithm
egg-herbie
Rules
948×fma-define
884×associate-*r*
788×associate-*l*
556×+-commutative
490×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
094618802
1237517105
Stop Event
node limit
Counts
411 → 501
Calls
Call 1
Inputs
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)))) p)
(*.f64 #s(literal -1/4 binary64) (/.f64 x p))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64)))))))) (pow.f64 p #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)))) p))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -256 binary64) (pow.f64 p #s(literal 8 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 p #s(literal 2 binary64))))) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 5 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 x p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)))
(sqrt.f64 #s(literal 1/2 binary64))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 x (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 x (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
(+.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 p (sqrt.f64 #s(literal 1/2 binary64))))))))
#s(literal 1 binary64)
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(*.f64 (*.f64 (/.f64 x p) x) (/.f64 #s(literal 1 binary64) p))
(*.f64 (*.f64 (/.f64 x p) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x p)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(/.f64 x (*.f64 (/.f64 p x) p))
(/.f64 x (*.f64 p (/.f64 p x)))
(/.f64 (/.f64 x p) (/.f64 p x))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 p x) (neg.f64 p)))
(/.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (neg.f64 p) (neg.f64 p)))
(/.f64 (*.f64 x (neg.f64 x)) (*.f64 p (neg.f64 p)))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 p) (/.f64 p x)))
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 p) p))
(/.f64 (*.f64 (/.f64 x p) x) p)
(/.f64 (*.f64 (/.f64 x p) (neg.f64 x)) (neg.f64 p))
(/.f64 (*.f64 x (/.f64 x p)) p)
(/.f64 (*.f64 (neg.f64 x) (/.f64 x p)) (neg.f64 p))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 p x) (/.f64 p x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 p x)) (/.f64 p x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64))) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 p x)) (*.f64 (sqrt.f64 (/.f64 p x)) (/.f64 p x)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 x p) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 p x) (sqrt.f64 (/.f64 p x))) (sqrt.f64 (/.f64 p x)))
(*.f64 (*.f64 (/.f64 p x) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 2 binary64))) (cbrt.f64 (/.f64 p x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64))))
(/.f64 (/.f64 p x) (/.f64 x p))
(/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (/.f64 x p) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 x p))))
(exp.f64 (*.f64 (log.f64 (/.f64 x p)) #s(literal -2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 x p))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(*.f64 x (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 3/512 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 5 binary64))) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 x (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64)))) (*.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 5 binary64)))))) (*.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) p))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64))) (/.f64 #s(literal 3/512 binary64) (pow.f64 p #s(literal 5 binary64))))) (/.f64 #s(literal 1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -5/4096 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 p #s(literal 7 binary64))) (/.f64 #s(literal 3/512 binary64) (pow.f64 p #s(literal 5 binary64)))) (/.f64 #s(literal -1/32 binary64) (pow.f64 p #s(literal 3 binary64)))) (/.f64 #s(literal 1/4 binary64) p)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
#s(literal -1/2 binary64)
(-.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(+.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64))
(+.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(+.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)))
(-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -16 binary64) (pow.f64 p #s(literal 4 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 p #s(literal 4 binary64)))))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64))) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1/2 binary64))
(+.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 p #s(literal 4 binary64))) #s(literal -12 binary64)) (*.f64 #s(literal 64 binary64) (pow.f64 p #s(literal 6 binary64)))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (/.f64 x p) #s(literal -2 binary64))) (+.f64 (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)))
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 p #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 (pow.f64 p #s(literal 2 binary64)) (fma.f64 #s(literal -10 binary64) (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 x p))
(/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x)) p)
(/.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)) p)
(/.f64 (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))))) p)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/64 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 p #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) x))) p)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x))) p)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal 1/4 binary64) x (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64)))))) p)
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(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64)) (pow.f64 p #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 (fma.f64 #s(literal 1/256 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -3/256 binary64))))) (pow.f64 p #s(literal 6 binary64)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 p #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) x)))) p)
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#s(literal 1/2 binary64)
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(fma.f64 #s(literal 1/4 binary64) (/.f64 x p) #s(literal 1/2 binary64))
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#s(literal 1/2 binary64)
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#s(literal 1 binary64)
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(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
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(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 x p))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 x p)) #s(literal -2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 x p))) #s(literal 1 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))

eval257.0ms (2.9%)

Compiler

Compiled 11928 to 9215 computations (22.7% saved)

prune80.0ms (0.9%)

Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New5001501
Fresh000
Picked145
Done033
Total5018509
Accuracy
100.0%
Counts
509 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.6%
(/.f64 (neg.f64 p) x)
6.3%
(/.f64 p x)
19.2%
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
78.8%
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
78.8%
(sqrt.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64)))
49.5%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
53.1%
(sqrt.f64 #s(literal 1/2 binary64))
38.2%
#s(literal 1 binary64)
Compiler

Compiled 68 to 54 computations (20.6% saved)

localize44.0ms (0.5%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
99.6%
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
64.8%
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
Compiler

Compiled 20 to 10 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
Operation ival-pow, time spent: 12.0ms, 69.0% of total-time
Operation ival-div, time spent: 3.0ms, 17.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 11.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

series3.0ms (0%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))>
#<alt (pow.f64 (/.f64 x p) #s(literal -2 binary64))>
Outputs
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (/.f64 p x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 p x))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
p
@0
(pow (/ x p) -2)
0.0ms
x
@0
(sqrt (pow (/ x p) -2))
0.0ms
x
@0
(pow (/ x p) -2)
0.0ms
p
@inf
(pow (/ x p) -2)
0.0ms
x
@-inf
(sqrt (pow (/ x p) -2))

rewrite84.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1322×unpow-prod-down
546×log-prod
483×log1p-expm1-u
483×expm1-log1p-u
432×prod-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01238
111732
2140432
Stop Event
node limit
Counts
2 → 150
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 p x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 p x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 p x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 p x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 p x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 p x)) #s(literal 1 binary64))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 p x) #s(literal 1 binary64))
(*.f64 (/.f64 p x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 p x))
(*.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 p x))) (pow.f64 (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 p (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) p) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 p) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 p) (sqrt.f64 x)) (/.f64 (sqrt.f64 p) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 p x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x p))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 p) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (cbrt.f64 p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 p #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 x (sqrt.f64 p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) #s(literal -1 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 p)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) p) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) p)
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 p x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (/.f64 p x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 p x))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 p x))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 p x))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 p x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 p x))))
(/.f64 p x)
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 3 binary64)) #s(literal -1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x p)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 p x)))
(pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 p) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 p x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x p)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 p x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 p x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 p x)))) (sqrt.f64 (log.f64 (/.f64 p x))))
(fabs.f64 (/.f64 p x))
(log.f64 (exp.f64 (/.f64 p x)))
(cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
(exp.f64 (log.f64 (/.f64 p x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 p x))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 p x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 p x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 p (pow.f64 (/.f64 (sqrt.f64 p) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) (log.f64 (E.f64)))
(*.f64 (/.f64 p x) (/.f64 p x))
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 p x)) (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 p x)) (pow.f64 (pow.f64 (/.f64 x p) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)) (sqrt.f64 (/.f64 p x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (sqrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 x p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 5 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 p) #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (cbrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 p #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 p)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 p (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 p (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 p) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 p) (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (*.f64 (/.f64 x p) x) #s(literal -1 binary64)) p)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 5 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 p x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 p x))))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x p))) #s(literal -1 binary64)))

simplify118.0ms (1.3%)

Algorithm
egg-herbie
Rules
1120×exp-prod
1056×fma-neg
710×fma-define
614×associate-*r/
610×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03964294972709
16984294972363
215034294972227
347504294972227
Stop Event
node limit
Counts
198 → 200
Calls
Call 1
Inputs
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 p x))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 p x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 p x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 p x)) #s(literal 1 binary64))
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 p x) #s(literal 1 binary64))
(*.f64 (/.f64 p x) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 p x))
(*.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
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(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 p x))) (pow.f64 (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 p (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
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(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 p x))))
(/.f64 p x)
(/.f64 #s(literal 1 binary64) (/.f64 x p))
(/.f64 (neg.f64 p) (neg.f64 x))
(/.f64 (/.f64 p (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 p #s(literal 1 binary64)) x)
(/.f64 (/.f64 p (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (/.f64 x p) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 p x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -3 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1/2 binary64))
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(pow.f64 (sqrt.f64 (/.f64 p x)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 x p)) #s(literal -2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 p x)))
(pow.f64 (/.f64 (pow.f64 p #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 p) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 p x))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x p)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 p x))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 p x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 p x)))) (sqrt.f64 (log.f64 (/.f64 p x))))
(fabs.f64 (/.f64 p x))
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(expm1.f64 (log1p.f64 (/.f64 p x)))
(log1p.f64 (expm1.f64 (/.f64 p x)))
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(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 p x))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 p x))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 p x)) (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 p x)) (pow.f64 (pow.f64 (/.f64 x p) #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 4 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)) (sqrt.f64 (/.f64 p x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (sqrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) p) (/.f64 x p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 5 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 p) #s(literal -2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (cbrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 p #s(literal -1/2 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (sqrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 p)) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) p) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 p) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 p #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 p (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 p (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) (sqrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 p) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 p) (cbrt.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 p x)))
(*.f64 (pow.f64 (*.f64 (/.f64 x p) x) #s(literal -1 binary64)) p)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 5 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 p x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 p x))))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x p))) #s(literal -1 binary64)))
Outputs
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(/.f64 p x)
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 p x))
(/.f64 (neg.f64 p) x)
(/.f64 p (neg.f64 x))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 p x))
(/.f64 p x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 p x))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 p x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 p x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 p x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (/.f64 p x)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 p x)) #s(literal 1 binary64))
(/.f64 p x)
(*.f64 p (/.f64 #s(literal 1 binary64) x))
(/.f64 p x)
(*.f64 (/.f64 p x) #s(literal 1 binary64))
(/.f64 p x)
(*.f64 (/.f64 p x) (log.f64 (E.f64)))
(/.f64 p x)
(*.f64 #s(literal 1 binary64) (/.f64 p x))
(/.f64 p x)
(*.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (/.f64 (cbrt.f64 p) x))
(/.f64 p x)
(*.f64 (sqrt.f64 (/.f64 p x)) (sqrt.f64 (/.f64 p x)))
(/.f64 p x)
(*.f64 (sqrt.f64 p) (/.f64 (sqrt.f64 p) x))
(/.f64 p x)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 p x)) #s(literal 5 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 p x))) (pow.f64 (pow.f64 (/.f64 x p) #s(literal -3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 p x))) (sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 p (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (cbrt.f64 x) p))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 x) p) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 p (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (cbrt.f64 x) p))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (pow.f64 (*.f64 (cbrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 p (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) #s(literal -2 binary64)) (/.f64 (cbrt.f64 x) p))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
(*.f64 p (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 x) p) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
(*.f64 p (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) p)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 p (sqrt.f64 x)))
(*.f64 p (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 p) x))
(/.f64 p x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (cbrt.f64 p) (cbrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (cbrt.f64 p) (sqrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) (/.f64 (sqrt.f64 p) x))
(/.f64 p x)
(*.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 p) (cbrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 (sqrt.f64 p) (sqrt.f64 x)) (/.f64 (sqrt.f64 p) (sqrt.f64 x)))
(/.f64 p x)
(*.f64 (/.f64 #s(literal 1 binary64) x) p)
(/.f64 p x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) p)) #s(literal -2 binary64)) x)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 p x))
(/.f64 p x)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 2 binary64))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (cbrt.f64 (/.f64 x p))) #s(literal -2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 x p))) #s(literal -2 binary64)))
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(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 p) #s(literal 2 binary64)) (sqrt.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cbrt.f64 p) (sqrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 p) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 p) x) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 p) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 p) (cbrt.f64 x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (cbrt.f64 (/.f64 p x)) (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal -5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (cbrt.f64 (/.f64 p x)) (cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -5 binary64))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 8 binary64))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 p #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 p #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 p #s(literal -2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (sqrt.f64 (/.f64 p x)))
(*.f64 (sqrt.f64 (/.f64 p x)) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal 3/2 binary64))))
(/.f64 (*.f64 (sqrt.f64 (/.f64 p x)) #s(literal 1 binary64)) (pow.f64 (/.f64 x p) #s(literal 3/2 binary64)))
(/.f64 (sqrt.f64 (/.f64 p x)) (pow.f64 (/.f64 x p) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x p) x) #s(literal -1 binary64)) p)
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 5 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 p x)))
(*.f64 (cbrt.f64 (/.f64 p x)) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 5 binary64))))
(/.f64 (cbrt.f64 (/.f64 p x)) (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x p) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 p x))))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 p x)) #s(literal 2 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 x p)) #s(literal -2 binary64)) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 x p) #s(literal -6 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 x p))) #s(literal -1 binary64)))
(/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (/.f64 x p) #s(literal -2 binary64))
(pow.f64 (/.f64 p x) #s(literal 2 binary64))

eval53.0ms (0.6%)

Compiler

Compiled 2209 to 1152 computations (47.8% saved)

prune36.0ms (0.4%)

Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New2000200
Fresh000
Picked011
Done077
Total2008208
Accuracy
100.0%
Counts
208 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
26.6%
(/.f64 (neg.f64 p) x)
6.3%
(/.f64 p x)
19.2%
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
78.8%
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
78.8%
(sqrt.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64)))
49.5%
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
53.1%
(sqrt.f64 #s(literal 1/2 binary64))
38.2%
#s(literal 1 binary64)
Compiler

Compiled 231 to 176 computations (23.8% saved)

regimes79.0ms (0.9%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 (neg.f64 p) x)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
(sqrt.f64 (/.f64 (pow.f64 p #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (pow.f64 (/.f64 x p) #s(literal 2 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (+.f64 (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))))))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 x (hypot.f64 x (*.f64 #s(literal 2 binary64) p)))))))
(sqrt.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 p #s(literal 4 binary64)) #s(literal -12 binary64)) (pow.f64 x #s(literal 2 binary64))) (pow.f64 p #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
Outputs
(/.f64 (neg.f64 p) x)
(sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64)))
Calls

7 calls:

29.0ms
p
18.0ms
x
15.0ms
(*.f64 (*.f64 #s(literal 4 binary64) p) p)
6.0ms
(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
3.0ms
(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
Results
AccuracySegmentsBranch
81.3%3p
86.0%2x
100.0%2(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))))
100.0%2(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))))
100.0%2(+.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))))
100.0%2(/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x))))
81.0%3(*.f64 (*.f64 #s(literal 4 binary64) p) p)
Compiler

Compiled 80 to 56 computations (30% saved)

regimes33.0ms (0.4%)

Counts
10 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 (neg.f64 p) x)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x)))))
(sqrt.f64 (pow.f64 (/.f64 x p) #s(literal -2 binary64)))
(neg.f64 (/.f64 (*.f64 p (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) x))
(*.f64 p (neg.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
Outputs
#s(literal 1 binary64)
(/.f64 (neg.f64 p) x)
#s(literal 1 binary64)
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p))))
Calls

2 calls:

16.0ms
x
15.0ms
p
Results
AccuracySegmentsBranch
72.3%4p
69.5%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
5 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 (neg.f64 p) x)
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))
Outputs
#s(literal 1 binary64)
(/.f64 (neg.f64 p) x)
#s(literal 1 binary64)
(/.f64 (neg.f64 p) x)
(sqrt.f64 #s(literal 1/2 binary64))
Calls

1 calls:

10.0ms
p
Results
AccuracySegmentsBranch
73.6%5p
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 p x)
(/.f64 (neg.f64 p) x)
Outputs
(/.f64 (neg.f64 p) x)
#s(literal 1 binary64)
Calls

2 calls:

5.0ms
p
4.0ms
x
Results
AccuracySegmentsBranch
58.8%2x
40.8%3p
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 p x)
Outputs
(/.f64 p x)
#s(literal 1 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
40.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
38.2%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
-8.955201402903681e-6
Compiler

Compiled 24 to 18 computations (25% saved)

bsearch56.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.483402258191825e-10
1.5619359473436793e-9
19.0ms
1.2144951315675106e-152
2.1876671279777593e-152
22.0ms
6.118214876142539e-202
8.70254408473275e-202
Results
23.0ms151×256valid
15.0ms30×2048valid
7.0ms20×1024valid
2.0ms512valid
2.0ms4096valid
0.0ms256valid
Compiler

Compiled 187 to 155 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
Operation ival-mult, time spent: 11.0ms, 43.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 24.0% of total-time
Operation ival-add, time spent: 5.0ms, 20.0% of total-time
Operation ival-div, time spent: 3.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch91.0ms (1%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
4.100693887743149e-43
2.5682733371351185e-42
29.0ms
1.1801020521230028e-102
8.725006022058006e-102
22.0ms
1.2144951315675106e-152
2.1876671279777593e-152
19.0ms
6.118214876142539e-202
8.70254408473275e-202
Results
34.0ms207×256valid
24.0ms48×2048valid
8.0ms31×512valid
10.0ms28×1024valid
3.0ms4096valid
0.0ms256valid
Compiler

Compiled 250 to 204 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-mult, time spent: 16.0ms, 39.0% of total-time
Operation ival-sqrt, time spent: 12.0ms, 29.0% of total-time
Operation ival-add, time spent: 7.0ms, 17.0% of total-time
Operation ival-div, time spent: 5.0ms, 12.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

bsearch49.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
-1.3298560228602618e-141
1.9465544316239562e-148
Results
32.0ms205×256valid
4.0ms17×512valid
6.0ms17×1024valid
0.0ms256valid
Compiler

Compiled 189 to 153 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-mult, time spent: 9.0ms, 44.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 24.0% of total-time
Operation ival-add, time spent: 4.0ms, 19.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch46.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
46.0ms
-1.2612746644811065e+88
-9.768031734950746e+85
Results
8.0ms44×256valid
16.0ms33×2048valid
10.0ms19×4096valid
5.0ms14×1024valid
1.0ms4096valid
0.0ms512valid
Compiler

Compiled 94 to 74 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-mult, time spent: 10.0ms, 45.0% of total-time
Operation ival-sqrt, time spent: 5.0ms, 22.0% of total-time
Operation ival-div, time spent: 3.0ms, 13.0% of total-time
Operation ival-add, time spent: 3.0ms, 13.0% of total-time
Operation const, time spent: 1.0ms, 4.0% of total-time

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×*-commutative
12×+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066349
182349
288349
393349
496349
597349
Stop Event
done
saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(if (<=.f64 p #s(literal 3971269629433431/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 6132688940335005/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 785801782749509/1208925819614629174706176 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))))
(if (<=.f64 p #s(literal 4688304423636689/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 8963160758951161/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2259756624739205/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal -5682704640362517/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (/.f64 (neg.f64 p) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 p x) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 (*.f64 #s(literal 4 binary64) p) p) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (hypot.f64 x (*.f64 #s(literal 2 binary64) p))) #s(literal 1/2 binary64))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 p (*.f64 #s(literal 4 binary64) p)) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (hypot.f64 x (*.f64 p #s(literal 2 binary64)))))))
(if (<=.f64 p #s(literal 3971269629433431/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 6132688940335005/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 785801782749509/1208925819614629174706176 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))))
(if (<=.f64 p #s(literal 3971269629433431/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 6132688940335005/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 785801782749509/1208925819614629174706176 binary64)) #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 x p)))))))
(if (<=.f64 p #s(literal 4688304423636689/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 8963160758951161/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 (neg.f64 p) x) (if (<=.f64 p #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2259756624739205/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 (neg.f64 p) x) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 p #s(literal 4688304423636689/5515652263101987298728728207430913795608113109085112352897269396216198887424215820128660001943808587833784893551335930816647064191168732319583111500951066614122648616177179922993422016587311577585463592732098692120576 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 8963160758951161/471745303102692669030194322623533611364615152552055053547025787530703020299018606510765840647207345942683546878845480612471323078740599079070179281429087005456174415872 binary64)) (/.f64 p (neg.f64 x)) (if (<=.f64 p #s(literal 7313012350050815/2521728396569246669585858566409191283525103313309788586748690777871726193375821479130513040312634601011624191379636224 binary64)) #s(literal 1 binary64) (if (<=.f64 p #s(literal 2259756624739205/3138550867693340381917894711603833208051177722232017256448 binary64)) (/.f64 p (neg.f64 x)) (sqrt.f64 #s(literal 1/2 binary64))))))
(if (<=.f64 x #s(literal -5682704640362517/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (/.f64 (neg.f64 p) x) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -5682704640362517/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (/.f64 p (neg.f64 x)) #s(literal 1 binary64))
(if (<=.f64 x #s(literal -100000000000000001463069523067487303097004298786465505927861078716979636425114821591040 binary64)) (/.f64 p x) #s(literal 1 binary64))
#s(literal 1 binary64)
Compiler

Compiled 115 to 82 computations (28.7% saved)

soundness315.0ms (3.5%)

Rules
1332×log-prod
968×fma-define
802×log1p-expm1-u
802×expm1-log1p-u
774×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
020197
1269137
23576129
080412774
1200512187
2660712159
Stop Event
node limit
node limit
Compiler

Compiled 249 to 176 computations (29.3% saved)

end0.0ms (0%)

preprocess93.0ms (1%)

Compiler

Compiled 412 to 278 computations (32.5% saved)

Profiling

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