inverse-s

Time bar (total: 2.5min)

start0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze1.1s (0.7%)

Memory
-19.7MiB live, 77.0MiB allocated; 12ms collecting garbage
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0.0%0.0%25.0%75.0%0.0%0.0%0.0%0
0.0%0.0%25.0%75.0%0.0%0.0%0.0%1
0.0%0.0%25.0%75.0%0.0%0.0%0.0%2
0.0%0.0%25.0%75.0%0.0%0.0%0.0%3
50.0%12.5%12.5%75.0%0.0%0.0%0.0%4
50.0%12.5%12.5%75.0%0.0%0.0%0.0%5
50.0%12.5%12.5%75.0%0.0%0.0%0.0%6
68.8%17.2%7.8%75.0%0.0%0.0%0.0%7
70.3%17.6%7.4%75.0%0.0%0.0%0.0%8
71.9%17.9%7.0%75.0%0.0%0.0%0.0%9
82.8%20.7%4.3%75.0%0.0%0.0%0.0%10
84.0%21.0%4.0%75.0%0.0%0.0%0.0%11
85.2%21.3%3.7%75.0%0.0%0.0%0.0%12
Compiler

Compiled 31 to 25 computations (19.4% saved)

sample12.2s (8.1%)

Memory
-33.4MiB live, 1 819.2MiB allocated; 140ms collecting garbage
Samples
9.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 5.0s
ival-pow: 1.9s (38.1% of total, 269.9 MiB)
ival-mult!: 1.1s (21.8% of total, 191.2 MiB)
ival-div!: 1.1s (21.6% of total, 107.7 MiB)
ival-atan!: 578.0ms (11.6% of total, 15.9 MiB)
ival-sub!: 254.0ms (5.1% of total, 40.7 MiB)
adjust: 94.0ms (1.9% of total, 19.1 MiB)
Bogosity

preprocess359.0ms (0.2%)

Memory
6.1MiB live, 6.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065216
1283214
2994214
Stop Event
1×node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.9%
%13 = (/.f64 (PI.f64 ) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (*.f64 (pow.f64 (/.f64 rho0 rho) (/.f64 #s(literal 1 binary64) n)) (tan.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 27401669256311/20000000000000 binary64)) %13)))) %13))
Compiler

Compiled 46 to 40 computations (13.0% saved)

sample1.0ms (0.0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
%2 = (* 1/2 27401669256311/20000000000000)
%3 = (PI )
%5 = (/ %3 4)
%6 = (+ %2 %5)
%2
%3
%5
%6
(tan %6)
Outputs
#s(literal 3085153686301295/4503599627370496 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/1125899906842624 binary64)
#s(literal 6622272562315515/4503599627370496 binary64)
#s(literal 2795330461496381/281474976710656 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series3.8s (2.6%)

Memory
6.0MiB live, 92.7MiB allocated; 18ms collecting garbage
Counts
20 → 36
Calls
Call 1
Inputs
%3 = (/.f64 rho0 rho)
%6 = (/.f64 #s(literal 1 binary64) n)
%7 = (pow.f64 %3 %6)
%10 = (*.f64 #s(literal 1/2 binary64) #s(literal 27401669256311/20000000000000 binary64))
%11 = (PI.f64 )
%13 = (/.f64 %11 #s(literal 4 binary64))
%14 = (+.f64 %10 %13)
%15 = (tan.f64 %14)
%16 = (*.f64 %7 %15)
%17 = (atan.f64 %16)
%18 = (-.f64 %17 %13)
#s(literal 2 binary64)
rho0
rho
%3
#s(literal 1 binary64)
n
%6
%7
#s(literal 1/2 binary64)
#s(literal 27401669256311/20000000000000 binary64)
%10
%11
#s(literal 4 binary64)
%13
%14
%15
%16
%17
%18
(*.f64 #s(literal 2 binary64) %18)
Outputs
%6 = (/ rho0 rho)
%7 = (/.f64 rho0 rho)
%11 = (/ 1 n)
%12 = (pow %6 %11)
%13 = (log.f64 rho0)
%16 = (log.f64 (/.f64 #s(literal 1 binary64) rho))
%19 = (exp.f64 (/.f64 (+.f64 %13 %16) n))
%26 = (/ (PI ) 4)
%29 = (* %12 (tan (+ (* 1/2 27401669256311/20000000000000) %26)))
%33 = (*.f64 #s(literal 1/4 binary64) (PI.f64 ))
%34 = (+.f64 #s(literal 27401669256311/40000000000000 binary64) %33)
%35 = (sin.f64 %34)
%37 = (cos.f64 %34)
%40 = (atan %29)
%41 = (log.f64 %7)
%42 = (/.f64 %41 n)
%43 = (exp.f64 %42)
%45 = (/.f64 (*.f64 %43 %35) %37)
%46 = (atan.f64 %45)
%48 = (- %40 %26)
%49 = (-.f64 %46 %33)
%51 = (* 2 %48)
%61 = (exp.f64 (/.f64 (+.f64 %16 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) rho0)))) n))
%67 = (log.f64 (/.f64 #s(literal -1 binary64) rho))
%73 = (exp.f64 (/.f64 (+.f64 %67 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) rho0)))) n))
%83 = (exp.f64 (/.f64 (+.f64 %13 (*.f64 #s(literal -1 binary64) (log.f64 rho))) n))
%92 = (exp.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) rho0)) %67) n))
%98 = (/.f64 #s(literal 1 binary64) n)
%106 = (pow.f64 %41 #s(literal 2 binary64))
%107 = (pow.f64 n #s(literal 2 binary64))
%109 = (fma.f64 #s(literal 1/2 binary64) (/.f64 %106 %107) %42)
%114 = (pow.f64 %41 #s(literal 3 binary64))
%115 = (pow.f64 n #s(literal 3 binary64))
%120 = (/.f64 %35 %37)
%122 = (*.f64 %41 %35)
%123 = (*.f64 n %37)
%125 = (+.f64 %120 (/.f64 %122 %123))
%127 = (*.f64 %106 %35)
%130 = (fma.f64 #s(literal 1/2 binary64) (/.f64 %127 (*.f64 %107 %37)) %125)
%132 = (*.f64 %114 %35)
%140 = (atan.f64 (/.f64 (*.f64 %35 (pow.f64 %7 %98)) %37))
%142 = (-.f64 %140 %33)
%164 = (/.f64 %122 %37)
(approx 2 #s(literal 0 binary64))
(approx rho0 rho0)
(approx %6 %7)
(approx %12 %19)
(approx %29 (/.f64 (*.f64 %19 %35) %37))
(approx %40 %46)
(approx %48 %49)
(approx %51 (*.f64 #s(literal 2 binary64) %49))
(approx %12 %61)
(approx %29 (/.f64 (*.f64 %61 %35) %37))
(approx %12 %73)
(approx %29 (/.f64 (*.f64 %73 %35) %37))
(approx rho rho)
(approx %12 %83)
(approx %29 (/.f64 (*.f64 %83 %35) %37))
(approx %12 %92)
(approx %29 (/.f64 (*.f64 %92 %35) %37))
(approx n n)
(approx %11 %98)
(approx %12 %43)
(approx %29 %45)
(approx %12 #s(literal 1 binary64))
(approx %12 (+.f64 #s(literal 1 binary64) %42))
(approx %12 (+.f64 #s(literal 1 binary64) %109))
(approx %12 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (/.f64 %114 %115) %109)))
(approx %29 %120)
(approx %29 %125)
(approx %29 %130)
(approx %29 (fma.f64 #s(literal 1/6 binary64) (/.f64 %132 (*.f64 %115 %37)) %130))
(approx %40 %140)
(approx %48 %142)
(approx %51 (*.f64 #s(literal 2 binary64) %142))
(approx %12 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %41 (*.f64 #s(literal -1/2 binary64) (/.f64 %106 n))) n))))
(approx %12 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %41 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 %114 n) (*.f64 #s(literal 1/2 binary64) %106)) n))) n))))
(approx %29 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %164 (*.f64 #s(literal -1/2 binary64) (/.f64 %127 %123))) n) %120))
(approx %29 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %164 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 %132 %123) (*.f64 #s(literal 1/2 binary64) (/.f64 %127 %37))) n))) n) %120))
Calls

9 calls:

TimeVariablePoint
376.0ms
rho0
0
197.0ms
rho
-inf
156.0ms
rho
0
126.0ms
rho0
-inf
125.0ms
rho
inf

rewrite12.8s (8.5%)

Memory
13.2MiB live, 209.8MiB allocated; 41ms collecting garbage
Counts
20 → 4 716
Calls
Call 1
Inputs
%3 = (/.f64 rho0 rho)
%6 = (/.f64 #s(literal 1 binary64) n)
%7 = (pow.f64 %3 %6)
%10 = (*.f64 #s(literal 1/2 binary64) #s(literal 27401669256311/20000000000000 binary64))
%11 = (PI.f64 )
%13 = (/.f64 %11 #s(literal 4 binary64))
%14 = (+.f64 %10 %13)
%15 = (tan.f64 %14)
%16 = (*.f64 %7 %15)
%17 = (atan.f64 %16)
%18 = (-.f64 %17 %13)
#s(literal 2 binary64)
rho0
rho
%3
#s(literal 1 binary64)
n
%6
%7
#s(literal 1/2 binary64)
#s(literal 27401669256311/20000000000000 binary64)
%10
%11
#s(literal 4 binary64)
%13
%14
%15
%16
%17
%18
(*.f64 #s(literal 2 binary64) %18)
Outputs
%56 = (PI.f64 )
%138 = (+.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64))
%148 = (+.f64 #s(literal -4 binary64) #s(literal 0 binary64))
%150 = (+.f64 #s(literal 16 binary64) #s(literal 16 binary64))
%152 = (+.f64 #s(literal 16 binary64) #s(literal 0 binary64))
%154 = (+.f64 #s(literal -16 binary64) #s(literal 0 binary64))
%156 = (-.f64 #s(literal -4 binary64) #s(literal 4 binary64))
%158 = (-.f64 #s(literal -8 binary64) #s(literal 8 binary64))
%163 = (*.f64 #s(literal 8 binary64) #s(literal -2 binary64))
%165 = (*.f64 #s(literal 8 binary64) #s(literal 4 binary64))
%167 = (*.f64 #s(literal 4 binary64) #s(literal 8 binary64))
%169 = (fabs.f64 #s(literal 0 binary64))
%171 = (+.f64 %56 %56)
%175 = (+.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))
%177 = (+.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
%179 = (-.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))
%184 = (+.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))
%186 = (+.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))
%188 = (+.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
%190 = (+.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
%192 = (+.f64 rho0 rho0)
%194 = (-.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
%196 = (-.f64 #s(literal 0 binary64) #s(literal 2 binary64))
%198 = (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
%200 = (-.f64 #s(literal 1 binary64) #s(literal 2 binary64))
%202 = (-.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
%204 = (-.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
%206 = (-.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
%209 = (-.f64 #s(literal -1 binary64) #s(literal -1 binary64))
%212 = (+.f64 #s(literal 4 binary64) #s(literal 2 binary64))
%214 = (+.f64 #s(literal 2 binary64) #s(literal 4 binary64))
%216 = (-.f64 #s(literal 4 binary64) #s(literal 4 binary64))
%223 = (-.f64 #s(literal -2 binary64) #s(literal -2 binary64))
%228 = (*.f64 %56 #s(literal 1/2 binary64))
%231 = (*.f64 #s(literal 1/2 binary64) rho0)
%240 = (/.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))
%242 = (/.f64 #s(literal -1/2 binary64) #s(literal -1 binary64))
%245 = (/.f64 #s(literal 1 binary64) n)
%247 = (/.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))
%249 = (/.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))
%253 = (/.f64 #s(literal -1 binary64) rho)
%255 = (/.f64 #s(literal -1 binary64) n)
%257 = (/.f64 #s(literal -2 binary64) rho)
%259 = (/.f64 #s(literal -2 binary64) n)
%261 = (/.f64 #s(literal -1/2 binary64) rho)
%263 = (/.f64 #s(literal -1/2 binary64) n)
%265 = (/.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
%267 = (/.f64 #s(literal 2 binary64) rho)
%269 = (/.f64 #s(literal 2 binary64) n)
%271 = (/.f64 #s(literal 1 binary64) #s(literal 1/8 binary64))
%273 = (/.f64 #s(literal 1 binary64) #s(literal -1/2 binary64))
%275 = (/.f64 #s(literal 1 binary64) rho)
%277 = (/.f64 #s(literal 1/2 binary64) #s(literal -1 binary64))
%279 = (/.f64 #s(literal 1/2 binary64) rho)
%281 = (/.f64 #s(literal 1/2 binary64) n)
%283 = (/.f64 #s(literal 1/4 binary64) #s(literal -1 binary64))
%285 = (/.f64 #s(literal 1/8 binary64) #s(literal 2 binary64))
%287 = (/.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))
%289 = (/.f64 #s(literal -4 binary64) #s(literal -1/2 binary64))
%292 = (/.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))
%295 = (/.f64 #s(literal -1/2 binary64) #s(literal 1/4 binary64))
%299 = (/.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))
%305 = (/.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))
%314 = (sqrt.f64 #s(literal 2 binary64))
%315 = (sqrt.f64 #s(literal 1/2 binary64))
%318 = (*.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64))
%320 = (*.f64 #s(literal -1/8 binary64) #s(literal 1 binary64))
%323 = (/.f64 #s(literal -1/2 binary64) #s(literal -8 binary64))
%325 = (/.f64 #s(literal -1/2 binary64) #s(literal 8 binary64))
%327 = (/.f64 #s(literal -1 binary64) #s(literal 8 binary64))
%329 = (/.f64 #s(literal 1/4 binary64) #s(literal 8 binary64))
%331 = (/.f64 #s(literal 1/8 binary64) #s(literal 4 binary64))
%333 = (*.f64 %263 #s(literal 0 binary64))
%335 = (/.f64 #s(literal 1/4 binary64) #s(literal -2 binary64))
%345 = (pow.f64 #s(literal 4 binary64) #s(literal 3 binary64))
%346 = (pow.f64 #s(literal 1/4 binary64) #s(literal 3 binary64))
%348 = (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))
%349 = (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))
%354 = (fma.f64 #s(literal 5/4 binary64) %56 #s(literal 27401669256311/40000000000000 binary64))
%355 = (cos.f64 %354)
%356 = (/.f64 #s(literal -1 binary64) %355)
%358 = (/.f64 #s(literal -2 binary64) %355)
%360 = (/.f64 #s(literal -1/2 binary64) %355)
%362 = (/.f64 rho0 rho)
%363 = (pow.f64 %362 %245)
%364 = (fma.f64 #s(literal 1/4 binary64) %56 #s(literal 27401669256311/40000000000000 binary64))
%365 = (tan.f64 %364)
%366 = (*.f64 %363 %365)
%367 = (atan.f64 %366)
%368 = (fma.f64 %56 #s(literal -1/4 binary64) %367)
%372 = (fma.f64 #s(literal -1/4 binary64) %56 #s(literal -27401669256311/40000000000000 binary64))
%373 = (tan.f64 %372)
%374 = (*.f64 %363 %373)
%375 = (atan.f64 %374)
%376 = (*.f64 %375 #s(literal -4 binary64))
%377 = (-.f64 %376 %56)
%380 = (*.f64 #s(literal -1/2 binary64) %56)
%381 = (fma.f64 %375 #s(literal -2 binary64) %380)
%384 = (*.f64 %368 #s(literal 1/2 binary64))
%386 = (fma.f64 %375 #s(literal 4 binary64) %56)
%387 = (*.f64 #s(literal -1/4 binary64) #s(literal 0 binary64))
%390 = (*.f64 #s(literal 0 binary64) %386)
%392 = (fma.f64 %56 #s(literal 1/4 binary64) %375)
%393 = (*.f64 %392 #s(literal -8 binary64))
%394 = (*.f64 #s(literal 1/8 binary64) #s(literal 0 binary64))
%396 = (*.f64 #s(literal 0 binary64) %393)
%398 = (neg.f64 rho0)
%447 = (*.f64 #s(literal 1/4 binary64) rho0)
%449 = (*.f64 #s(literal 4 binary64) rho0)
%451 = (*.f64 #s(literal -1/2 binary64) rho0)
%454 = (*.f64 rho0 #s(literal 1/4 binary64))
%456 = (*.f64 rho0 #s(literal -2 binary64))
%458 = (*.f64 rho0 #s(literal 4 binary64))
%461 = (*.f64 %398 #s(literal 0 binary64))
%464 = (*.f64 #s(literal -2 binary64) rho0)
%469 = (/.f64 rho0 #s(literal 1/2 binary64))
%471 = (/.f64 rho0 #s(literal 4 binary64))
%510 = (*.f64 %192 #s(literal 2 binary64))
%512 = (*.f64 %192 #s(literal 4 binary64))
%538 = (*.f64 %231 #s(literal 1/2 binary64))
%541 = (*.f64 %192 #s(literal -2 binary64))
%544 = (*.f64 #s(literal -2 binary64) %192)
%546 = (*.f64 #s(literal 2 binary64) %192)
%550 = (/.f64 %192 #s(literal 8 binary64))
%552 = (*.f64 %398 #s(literal 1/2 binary64))
%578 = (*.f64 #s(literal 3/2 binary64) %231)
%580 = (*.f64 #s(literal 1/2 binary64) %231)
%582 = (*.f64 %231 #s(literal 3/2 binary64))
%605 = (neg.f64 rho)
%608 = (neg.f64 %362)
%629 = (+.f64 rho rho)
%631 = (/.f64 rho0 %629)
%647 = (*.f64 %267 rho0)
%649 = (*.f64 #s(literal 2 binary64) %362)
%651 = (*.f64 #s(literal 1/4 binary64) %362)
%653 = (*.f64 #s(literal 4 binary64) %362)
%655 = (*.f64 %261 rho0)
%657 = (*.f64 #s(literal -1/2 binary64) %362)
%663 = (*.f64 #s(literal 0 binary64) %398)
%665 = (neg.f64 %629)
%675 = (*.f64 %261 %398)
%677 = (*.f64 %257 %398)
%680 = (*.f64 %398 #s(literal 2 binary64))
%706 = (*.f64 #s(literal 1 binary64) %631)
%708 = (*.f64 #s(literal 4 binary64) %631)
%710 = (*.f64 #s(literal 1/2 binary64) %631)
%712 = (*.f64 %275 %192)
%726 = (*.f64 %275 %231)
%732 = (*.f64 %275 #s(literal 0 binary64))
%807 = (*.f64 %398 %261)
%845 = (*.f64 %231 %275)
%965 = (*.f64 #s(literal 1/4 binary64) #s(literal 3 binary64))
%967 = (*.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))
%969 = (*.f64 #s(literal 3/2 binary64) #s(literal 1/2 binary64))
%971 = (*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
%977 = (/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
%979 = (/.f64 #s(literal 3/2 binary64) #s(literal 2 binary64))
%1001 = (-.f64 #s(literal 0 binary64) #s(literal -8 binary64))
%1018 = (*.f64 #s(literal -8 binary64) #s(literal 1/2 binary64))
%1211 = (*.f64 #s(literal -4 binary64) #s(literal -2 binary64))
%1242 = (*.f64 #s(literal -2 binary64) #s(literal -4 binary64))
%1333 = (exp.f64 #s(literal 1 binary64))
%1356 = (cosh.f64 #s(literal 1 binary64))
%1358 = (sinh.f64 #s(literal 1 binary64))
%1373 = (neg.f64 n)
%1379 = (+.f64 n n)
%1387 = (*.f64 #s(literal 1/2 binary64) n)
%1389 = (*.f64 n #s(literal 1/2 binary64))
%1403 = (/.f64 #s(literal 1/4 binary64) n)
%1406 = (/.f64 #s(literal 4 binary64) n)
%1416 = (neg.f64 %1379)
%1434 = (*.f64 #s(literal 4 binary64) %1373)
%1436 = (*.f64 %1373 #s(literal 1/2 binary64))
%1438 = (*.f64 #s(literal 1/2 binary64) %1373)
%1440 = (/.f64 #s(literal -4 binary64) %1373)
%1442 = (/.f64 #s(literal 4 binary64) %1373)
%1510 = (/.f64 #s(literal 1/2 binary64) %1379)
%1515 = (*.f64 #s(literal 1/4 binary64) %245)
%1517 = (*.f64 #s(literal 1/8 binary64) %269)
%1519 = (*.f64 #s(literal -1/2 binary64) %263)
%1521 = (*.f64 #s(literal 1/2 binary64) %281)
%1523 = (*.f64 #s(literal 2 binary64) %269)
%1525 = (*.f64 #s(literal 4 binary64) %245)
%1527 = (*.f64 %281 #s(literal -1 binary64))
%1529 = (*.f64 %263 #s(literal 1 binary64))
%1531 = (*.f64 %255 #s(literal 2 binary64))
%1533 = (*.f64 %245 #s(literal 1/4 binary64))
%1535 = (*.f64 %245 #s(literal -2 binary64))
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(fma.f64 #s(literal -2 binary64) %4947 %5288)
(fma.f64 #s(literal -2 binary64) %4947 %396)
(fma.f64 %4372 #s(literal 8 binary64) %5288)
(fma.f64 %4372 #s(literal 8 binary64) %396)
(fma.f64 %4367 #s(literal 2 binary64) %5295)
(fma.f64 %4367 #s(literal 2 binary64) %5297)
(fma.f64 %4481 #s(literal -1/8 binary64) %5288)
(fma.f64 %4481 #s(literal -1/8 binary64) %396)
(/.f64 (fma.f64 %4243 #s(literal 4 binary64) %4378) %1898)
(/.f64 (fma.f64 %4243 #s(literal -4 binary64) %5489) %2057)
(/.f64 (fma.f64 %4243 #s(literal -4 binary64) %4369) %2057)
(/.f64 (fma.f64 %386 #s(literal -8 binary64) (*.f64 #s(literal 16 binary64) %381)) %4386)
(/.f64 (fma.f64 %386 #s(literal -8 binary64) (*.f64 %381 #s(literal 16 binary64))) %4386)
(/.f64 (fma.f64 %381 #s(literal 16 binary64) %4369) %4389)
(/.f64 (fma.f64 %381 #s(literal -16 binary64) %4378) %4383)
(/.f64 (fma.f64 %386 #s(literal 8 binary64) %5504) %2021)
(/.f64 (fma.f64 %393 #s(literal -4 binary64) %4378) %2038)
(/.f64 (fma.f64 %4237 #s(literal -4 binary64) (*.f64 %386 #s(literal 16 binary64))) %5511)
(/.f64 (fma.f64 %4263 #s(literal -4 binary64) (*.f64 %386 #s(literal -16 binary64))) %5515)
(/.f64 (fma.f64 %393 #s(literal -4 binary64) %4863) %2038)
(/.f64 (fma.f64 %4237 #s(literal -4 binary64) %5519) %5511)
(/.f64 (fma.f64 %4263 #s(literal -4 binary64) %5522) %5515)
(/.f64 (fma.f64 %386 #s(literal 16 binary64) %5525) %5527)
(/.f64 (fma.f64 %386 #s(literal -16 binary64) %5529) %5531)
(/.f64 (fma.f64 %386 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) %4237)) %5527)
(/.f64 (fma.f64 %386 #s(literal -16 binary64) (*.f64 #s(literal -4 binary64) %4263)) %5531)
(/.f64 (fma.f64 %386 #s(literal 8 binary64) %4489) %1900)
(/.f64 (fma.f64 %386 #s(literal -8 binary64) %5541) %2051)
(fma.f64 %4378 %3577 %5288)
(fma.f64 %4378 %3577 %396)
(fma.f64 %4509 %4510 %5181)
(fma.f64 %4512 %4513 %5181)
(/.f64 (fma.f64 %4243 #s(literal 4 binary64) %5548) %1898)
(/.f64 (fma.f64 %4237 #s(literal 4 binary64) (*.f64 %377 #s(literal 16 binary64))) %4465)
(/.f64 (fma.f64 %4263 #s(literal 4 binary64) (*.f64 %377 #s(literal -16 binary64))) %4472)
(/.f64 (fma.f64 %4237 #s(literal 4 binary64) %5557) %4465)
(/.f64 (fma.f64 %4263 #s(literal 4 binary64) %5560) %4472)
(/.f64 (fma.f64 %377 #s(literal 16 binary64) %4461) %4462)
(/.f64 (fma.f64 %377 #s(literal 16 binary64) %4464) %4462)
(/.f64 (fma.f64 %377 #s(literal -16 binary64) %4471) %4487)
(/.f64 (fma.f64 %377 #s(literal -16 binary64) %4486) %4487)
(/.f64 (-.f64 %4464 %5519) %4465)
(/.f64 (-.f64 %5504 %4369) %2038)
(/.f64 (-.f64 %4471 %5522) %4472)
(/.f64 (-.f64 %4489 %5489) %1898)
(/.f64 (-.f64 %5525 %5557) %5511)
(/.f64 (-.f64 %5529 %5560) %5515)
(/.f64 (-.f64 %5541 %5548) %2057)
(/.f64 (-.f64 (*.f64 %3941 #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) %5262)) %5527)
(/.f64 (-.f64 (*.f64 %376 #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) %5262)) %4462)
(/.f64 (-.f64 (*.f64 %3941 #s(literal -16 binary64)) (*.f64 #s(literal -4 binary64) %5185)) %5531)
(/.f64 (-.f64 (*.f64 %376 #s(literal -16 binary64)) (*.f64 #s(literal 4 binary64) %5185)) %4487)
(/.f64 (fma.f64 %4243 #s(literal 8 binary64) (*.f64 #s(literal -8 binary64) %393)) %1998)
(/.f64 (fma.f64 %4243 #s(literal 8 binary64) (*.f64 %393 #s(literal -8 binary64))) %1998)
(/.f64 (fma.f64 %4243 #s(literal 16 binary64) (*.f64 #s(literal -8 binary64) %4237)) %5609)
(/.f64 (fma.f64 %4243 #s(literal 16 binary64) (*.f64 %4237 #s(literal -8 binary64))) %5609)
(/.f64 (fma.f64 %4243 #s(literal -16 binary64) (*.f64 #s(literal -8 binary64) %4263)) %5616)
(/.f64 (fma.f64 %4243 #s(literal -16 binary64) (*.f64 %4263 #s(literal -8 binary64))) %5616)
(/.f64 (fma.f64 %381 #s(literal -16 binary64) %4474) %4383)
(/.f64 (fma.f64 %4263 #s(literal 2 binary64) (*.f64 %381 #s(literal -16 binary64))) %4381)
(/.f64 (fma.f64 %4263 #s(literal 2 binary64) (*.f64 #s(literal -16 binary64) %381)) %4381)
(/.f64 (fma.f64 %393 #s(literal 16 binary64) %5072) %5630)
(/.f64 (fma.f64 %393 #s(literal 16 binary64) %5075) %5630)
(/.f64 (fma.f64 %4237 #s(literal 16 binary64) (*.f64 %4237 #s(literal 16 binary64))) %5636)
(/.f64 (fma.f64 %4263 #s(literal 16 binary64) (*.f64 %4237 #s(literal -16 binary64))) %5640)
(/.f64 (fma.f64 %393 #s(literal -16 binary64) %5078) %5643)
(/.f64 (fma.f64 %4237 #s(literal -16 binary64) (*.f64 %4263 #s(literal 16 binary64))) %5647)
(/.f64 (fma.f64 %4263 #s(literal -16 binary64) (*.f64 %4263 #s(literal -16 binary64))) %5651)
(/.f64 (fma.f64 %393 #s(literal 8 binary64) %5080) %1993)
(/.f64 (fma.f64 %4237 #s(literal 8 binary64) (*.f64 %393 #s(literal 16 binary64))) %5657)
(/.f64 (fma.f64 %4263 #s(literal 8 binary64) (*.f64 %393 #s(literal -16 binary64))) %5661)
(/.f64 (fma.f64 %4237 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) %4237)) %5636)
(/.f64 (fma.f64 %4263 #s(literal 16 binary64) (*.f64 #s(literal -16 binary64) %4237)) %5640)
(/.f64 (fma.f64 %393 #s(literal -16 binary64) %5083) %5643)
(/.f64 (fma.f64 %4237 #s(literal -16 binary64) (*.f64 #s(literal 16 binary64) %4263)) %5647)
(/.f64 (fma.f64 %4263 #s(literal -16 binary64) (*.f64 #s(literal -16 binary64) %4263)) %5651)
(/.f64 (fma.f64 %393 #s(literal 8 binary64) %5085) %1993)
(/.f64 (fma.f64 %4237 #s(literal 8 binary64) (*.f64 #s(literal 16 binary64) %393)) %5657)
(/.f64 (fma.f64 %4263 #s(literal 8 binary64) (*.f64 #s(literal -16 binary64) %393)) %5661)
(/.f64 (fma.f64 %393 #s(literal -8 binary64) %5087) %1996)
(/.f64 (fma.f64 %4237 #s(literal -8 binary64) (*.f64 %4243 #s(literal 16 binary64))) %5689)
(/.f64 (fma.f64 %4243 #s(literal -8 binary64) (*.f64 %4243 #s(literal -8 binary64))) %2064)
(/.f64 (fma.f64 %4263 #s(literal -8 binary64) (*.f64 %4243 #s(literal -16 binary64))) %5696)
(/.f64 (fma.f64 %393 #s(literal -8 binary64) %5101) %1996)
(/.f64 (fma.f64 %4237 #s(literal -8 binary64) (*.f64 #s(literal 16 binary64) %4243)) %5689)
(/.f64 (fma.f64 %4243 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) %4243)) %2064)
(/.f64 (fma.f64 %4263 #s(literal -8 binary64) (*.f64 #s(literal -16 binary64) %4243)) %5696)
(fma.f64 #s(literal 1/2 binary64) %368 %5709)
(fma.f64 %368 #s(literal 1/2 binary64) %5709)
(+.f64 %384 %5709)
(fma.f64 #s(literal 1/2 binary64) %368 %5713)
(fma.f64 %368 #s(literal 1/2 binary64) %5713)
(fma.f64 #s(literal 1/8 binary64) %377 %5709)
(fma.f64 %377 #s(literal 1/8 binary64) %5709)
(+.f64 %384 %5713)
(+.f64 (+.f64 %368 %384) %384)
(fma.f64 #s(literal 1/8 binary64) %377 %5713)
(fma.f64 %377 #s(literal 1/8 binary64) %5713)
(fma.f64 #s(literal 2 binary64) %4227 %5709)
(fma.f64 #s(literal 1 binary64) %384 %5709)
(fma.f64 #s(literal 4 binary64) %4641 %5709)
(fma.f64 %381 #s(literal 1/4 binary64) %5709)
(fma.f64 #s(literal 1/4 binary64) %381 %5709)
(fma.f64 %4235 #s(literal -1/4 binary64) %5709)
(fma.f64 %386 %4517 %5709)
(fma.f64 %384 #s(literal 1 binary64) %5709)
(fma.f64 %393 #s(literal 1/16 binary64) %5709)
(fma.f64 %4225 #s(literal 2 binary64) %5709)
(fma.f64 #s(literal 2 binary64) %4227 %5713)
(fma.f64 #s(literal 1 binary64) %384 %5713)
(fma.f64 #s(literal 4 binary64) %4641 %5713)
(fma.f64 %381 #s(literal 1/4 binary64) %5713)
(fma.f64 #s(literal 1/4 binary64) %381 %5713)
(fma.f64 %4235 #s(literal -1/4 binary64) %5713)
(fma.f64 %386 %4517 %5713)
(fma.f64 %384 #s(literal 1 binary64) %5713)
(fma.f64 %393 #s(literal 1/16 binary64) %5713)
(fma.f64 %4225 #s(literal 2 binary64) %5713)
(fma.f64 #s(literal 2 binary64) %4372 %5709)
(fma.f64 %4367 #s(literal 2 binary64) %5709)
(fma.f64 #s(literal 2 binary64) %4372 %5713)
(fma.f64 %4367 #s(literal 2 binary64) %5713)

reconstruct304.0ms (0.2%)

Memory
-10.7MiB live, 18.2MiB allocated; 6ms collecting garbage

eval7.4s (4.9%)

Memory
11.0MiB live, 416.0MiB allocated; 105ms collecting garbage
Compiler

Compiled 144 906 to 25 030 computations (82.7% saved)

prune1.0s (0.7%)

Memory
14.2MiB live, 112.0MiB allocated; 12ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New4 73734 740
Fresh000
Picked101
Done000
Total4 73834 741
Accuracy
100.0%
Counts
4 741 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.9%
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (*.f64 (pow.f64 (/.f64 rho0 rho) (/.f64 #s(literal 1 binary64) n)) #s(literal 2795330461496381/281474976710656 binary64))) (/.f64 (PI.f64 ) #s(literal 4 binary64))))
▶100.0%
%21 = (/.f64 (PI.f64 ) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (*.f64 (approx (pow (/ rho0 rho) (/ 1 n)) (exp.f64 (/.f64 (+.f64 (log.f64 rho0) (*.f64 #s(literal -1 binary64) (log.f64 rho))) n))) (tan.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 27401669256311/20000000000000 binary64)) %21)))) %21))
▶52.1%
%15 = (/.f64 (PI.f64 ) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (*.f64 (approx (pow (/ rho0 rho) (/ 1 n)) #s(literal 1 binary64)) (tan.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 27401669256311/20000000000000 binary64)) %15)))) %15))
Compiler

Compiled 59 to 36 computations (39.0% saved)

sample1.0ms (0.0%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Calls
Call 1
Inputs
%2 = (* 1/2 27401669256311/20000000000000)
%3 = (PI )
%5 = (/ %3 4)
%6 = (+ %2 %5)
%2
%3
%5
%6
(tan %6)
Outputs
#s(literal 3085153686301295/4503599627370496 binary64)
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/1125899906842624 binary64)
#s(literal 6622272562315515/4503599627370496 binary64)
#s(literal 2795330461496381/281474976710656 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 24 to 10 computations (58.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series5.7s (3.8%)

Memory
-43.5MiB live, 239.0MiB allocated; 41ms collecting garbage
Counts
38 → 72
Calls
Call 1
Inputs
%3 = (/.f64 rho0 rho)
%6 = (/.f64 #s(literal 1 binary64) n)
%7 = (pow.f64 %3 %6)
%10 = (*.f64 #s(literal 1/2 binary64) #s(literal 27401669256311/20000000000000 binary64))
%11 = (PI.f64 )
%13 = (/.f64 %11 #s(literal 4 binary64))
%14 = (+.f64 %10 %13)
%15 = (tan.f64 %14)
%17 = (log.f64 rho0)
%19 = (log.f64 rho)
%20 = (*.f64 #s(literal -1 binary64) %19)
%21 = (+.f64 %17 %20)
%22 = (/.f64 %21 n)
%23 = (exp.f64 %22)
%27 = (pow (/ rho0 rho) (/ 1 n))
%28 = (approx %27 %23)
%29 = (approx %27 #s(literal 1 binary64))
%30 = (*.f64 %7 #s(literal 2795330461496381/281474976710656 binary64))
%31 = (atan.f64 %30)
%32 = (-.f64 %31 %13)
%34 = (*.f64 %28 %15)
%35 = (atan.f64 %34)
%36 = (-.f64 %35 %13)
%38 = (*.f64 %29 %15)
%39 = (atan.f64 %38)
%40 = (-.f64 %39 %13)
#s(literal 2 binary64)
rho0
rho
%3
#s(literal 1 binary64)
n
%6
%7
#s(literal 1/2 binary64)
#s(literal 27401669256311/20000000000000 binary64)
%10
%11
#s(literal 4 binary64)
%13
%14
%15
#s(literal 2795330461496381/281474976710656 binary64)
%17
#s(literal -1 binary64)
%19
%20
%21
%22
%23
%28
%29
%30
%31
%32
(*.f64 #s(literal 2 binary64) %32)
%34
%35
%36
(*.f64 #s(literal 2 binary64) %36)
%38
%39
%40
(*.f64 #s(literal 2 binary64) %40)
Outputs
%6 = (/ rho0 rho)
%7 = (/.f64 rho0 rho)
%11 = (/ 1 n)
%12 = (pow %6 %11)
%13 = (log.f64 rho0)
%16 = (log.f64 (/.f64 #s(literal 1 binary64) rho))
%17 = (+.f64 %13 %16)
%18 = (/.f64 %17 n)
%19 = (exp.f64 %18)
%21 = (log rho0)
%24 = (log rho)
%25 = (* -1 %24)
%26 = (+ %21 %25)
%28 = (log.f64 rho)
%29 = (*.f64 #s(literal -1 binary64) %28)
%30 = (+.f64 %13 %29)
%32 = (/ %26 n)
%33 = (/.f64 %30 n)
%35 = (exp %32)
%36 = (exp.f64 %33)
%39 = (* %12 2795330461496381/281474976710656)
%43 = (atan %39)
%44 = (log.f64 %7)
%45 = (/.f64 %44 n)
%46 = (exp.f64 %45)
%47 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %46)
%48 = (atan.f64 %47)
%52 = (/ (PI ) 4)
%53 = (- %43 %52)
%56 = (*.f64 #s(literal 1/4 binary64) (PI.f64 ))
%57 = (-.f64 %48 %56)
%59 = (* 2 %53)
%68 = (* %12 (tan (+ (* 1/2 27401669256311/20000000000000) %52)))
%70 = (+.f64 #s(literal 27401669256311/40000000000000 binary64) %56)
%71 = (sin.f64 %70)
%73 = (cos.f64 %70)
%76 = (atan %68)
%78 = (/.f64 (*.f64 %46 %71) %73)
%79 = (atan.f64 %78)
%81 = (- %76 %52)
%82 = (-.f64 %79 %56)
%84 = (* 2 %81)
%89 = (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) rho0)))
%92 = (exp.f64 (/.f64 (+.f64 %16 %89) n))
%95 = (fma.f64 #s(literal -1 binary64) %28 %89)
%97 = (/.f64 %95 n)
%107 = (log.f64 (/.f64 #s(literal -1 binary64) rho))
%113 = (exp.f64 (/.f64 (+.f64 %107 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) rho0)))) n))
%137 = (exp.f64 (/.f64 (+.f64 (log.f64 (*.f64 #s(literal -1 binary64) rho0)) %107) n))
%145 = (/.f64 #s(literal 1 binary64) n)
%154 = (pow.f64 %44 #s(literal 2 binary64))
%155 = (pow.f64 n #s(literal 2 binary64))
%156 = (/.f64 %154 %155)
%157 = (fma.f64 #s(literal 1/2 binary64) %156 %45)
%162 = (pow.f64 %44 #s(literal 3 binary64))
%163 = (pow.f64 n #s(literal 3 binary64))
%164 = (/.f64 %162 %163)
%168 = (/.f64 %28 n)
%169 = (/.f64 %13 n)
%173 = (pow.f64 %30 #s(literal 2 binary64))
%175 = (fma.f64 #s(literal 1/2 binary64) (/.f64 %173 %155) %169)
%179 = (pow.f64 %30 #s(literal 3 binary64))
%186 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %45)
%190 = (fma.f64 #s(literal 2795330461496381/562949953421312 binary64) %156 %186)
%197 = (pow.f64 %7 %145)
%199 = (atan.f64 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %197))
%201 = (-.f64 %199 %56)
%205 = (/.f64 %71 %73)
%207 = (*.f64 %44 %71)
%208 = (*.f64 n %73)
%210 = (+.f64 %205 (/.f64 %207 %208))
%212 = (*.f64 %154 %71)
%215 = (fma.f64 #s(literal 1/2 binary64) (/.f64 %212 (*.f64 %155 %73)) %210)
%217 = (*.f64 %162 %71)
%224 = (atan.f64 (/.f64 (*.f64 %71 %197) %73))
%226 = (-.f64 %224 %56)
%231 = (/.f64 %154 n)
%238 = (/.f64 %162 n)
%282 = (/.f64 %207 %73)
(approx 2 #s(literal 0 binary64))
(approx rho0 rho0)
(approx %6 %7)
(approx %12 %19)
(approx %21 %13)
(approx %26 %30)
(approx %32 %33)
(approx %35 %36)
(approx %39 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %19))
(approx %43 %48)
(approx %53 %57)
(approx %59 (*.f64 #s(literal 2 binary64) %57))
(approx %68 (/.f64 (*.f64 %19 %71) %73))
(approx %76 %79)
(approx %81 %82)
(approx %84 (*.f64 #s(literal 2 binary64) %82))
(approx %12 %92)
(approx %21 %89)
(approx %26 %95)
(approx %32 %97)
(approx %35 (exp.f64 %97))
(approx %39 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %92))
(approx %68 (/.f64 (*.f64 %92 %71) %73))
(approx %12 %113)
(approx %39 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %113))
(approx %68 (/.f64 (*.f64 %113 %71) %73))
(approx rho rho)
(approx %24 %28)
(approx %25 %29)
(approx %39 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %36))
(approx %68 (/.f64 (*.f64 %36 %71) %73))
(approx %24 (*.f64 #s(literal -1 binary64) %16))
(approx %25 %16)
(approx %26 %17)
(approx %32 %18)
(approx %12 %137)
(approx %39 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %137))
(approx %68 (/.f64 (*.f64 %137 %71) %73))
(approx n n)
(approx %11 %145)
(approx %12 %46)
(approx %39 %47)
(approx %68 %78)
(approx %12 #s(literal 1 binary64))
(approx %12 (+.f64 #s(literal 1 binary64) %45))
(approx %12 (+.f64 #s(literal 1 binary64) %157))
(approx %12 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) %164 %157)))
(approx %35 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) %168 %169)))
(approx %35 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) %168 %175)))
(approx %35 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) %168 (fma.f64 #s(literal 1/6 binary64) (/.f64 %179 %163) %175))))
(approx %39 #s(literal 2795330461496381/281474976710656 binary64))
(approx %39 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) %186))
(approx %39 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) %190))
(approx %39 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) (fma.f64 #s(literal 2795330461496381/1688849860263936 binary64) %164 %190)))
(approx %43 %199)
(approx %53 %201)
(approx %59 (*.f64 #s(literal 2 binary64) %201))
(approx %68 %205)
(approx %68 %210)
(approx %68 %215)
(approx %68 (fma.f64 #s(literal 1/6 binary64) (/.f64 %217 (*.f64 %163 %73)) %215))
(approx %76 %224)
(approx %81 %226)
(approx %84 (*.f64 #s(literal 2 binary64) %226))
(approx %12 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %44 (*.f64 #s(literal -1/2 binary64) %231)) n))))
(approx %12 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %44 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) %238 (*.f64 #s(literal 1/2 binary64) %154)) n))) n))))
(approx %35 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %30 (*.f64 #s(literal -1/2 binary64) (/.f64 %173 n))) n))))
(approx %35 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %30 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 %179 n) (*.f64 #s(literal 1/2 binary64) %173)) n))) n))))
(approx %39 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2795330461496381/281474976710656 binary64) %44 (*.f64 #s(literal -2795330461496381/562949953421312 binary64) %231)) n))))
(approx %39 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2795330461496381/281474976710656 binary64) %44 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2795330461496381/1688849860263936 binary64) %238 (*.f64 #s(literal 2795330461496381/562949953421312 binary64) %154)) n))) n))))
(approx %68 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %282 (*.f64 #s(literal -1/2 binary64) (/.f64 %212 %208))) n) %205))
(approx %68 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %282 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 %217 %208) (*.f64 #s(literal 1/2 binary64) (/.f64 %212 %73))) n))) n) %205))
Calls

9 calls:

TimeVariablePoint
609.0ms
rho0
0
355.0ms
rho
0
271.0ms
rho0
-inf
253.0ms
rho
inf
250.0ms
n
0

rewrite20.1s (13.4%)

Memory
26.9MiB live, 587.3MiB allocated; 99ms collecting garbage
Counts
38 → 8 246
Calls
Call 1
Inputs
%3 = (/.f64 rho0 rho)
%6 = (/.f64 #s(literal 1 binary64) n)
%7 = (pow.f64 %3 %6)
%10 = (*.f64 #s(literal 1/2 binary64) #s(literal 27401669256311/20000000000000 binary64))
%11 = (PI.f64 )
%13 = (/.f64 %11 #s(literal 4 binary64))
%14 = (+.f64 %10 %13)
%15 = (tan.f64 %14)
%17 = (log.f64 rho0)
%19 = (log.f64 rho)
%20 = (*.f64 #s(literal -1 binary64) %19)
%21 = (+.f64 %17 %20)
%22 = (/.f64 %21 n)
%23 = (exp.f64 %22)
%27 = (pow (/ rho0 rho) (/ 1 n))
%28 = (approx %27 %23)
%29 = (approx %27 #s(literal 1 binary64))
%30 = (*.f64 %7 #s(literal 2795330461496381/281474976710656 binary64))
%31 = (atan.f64 %30)
%32 = (-.f64 %31 %13)
%34 = (*.f64 %28 %15)
%35 = (atan.f64 %34)
%36 = (-.f64 %35 %13)
%38 = (*.f64 %29 %15)
%39 = (atan.f64 %38)
%40 = (-.f64 %39 %13)
#s(literal 2 binary64)
rho0
rho
%3
#s(literal 1 binary64)
n
%6
%7
#s(literal 1/2 binary64)
#s(literal 27401669256311/20000000000000 binary64)
%10
%11
#s(literal 4 binary64)
%13
%14
%15
#s(literal 2795330461496381/281474976710656 binary64)
%17
#s(literal -1 binary64)
%19
%20
%21
%22
%23
%28
%29
%30
%31
%32
(*.f64 #s(literal 2 binary64) %32)
%34
%35
%36
(*.f64 #s(literal 2 binary64) %36)
%38
%39
%40
(*.f64 #s(literal 2 binary64) %40)
Outputs
%57 = (PI.f64 )
%142 = (+.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64))
%152 = (neg.f64 rho)
%154 = (+.f64 #s(literal 16 binary64) #s(literal 16 binary64))
%156 = (+.f64 #s(literal 16 binary64) #s(literal 0 binary64))
%158 = (+.f64 #s(literal -4 binary64) #s(literal 0 binary64))
%160 = (+.f64 #s(literal -16 binary64) #s(literal 0 binary64))
%162 = (-.f64 #s(literal -4 binary64) #s(literal 4 binary64))
%164 = (-.f64 #s(literal -8 binary64) #s(literal 8 binary64))
%169 = (*.f64 #s(literal 8 binary64) #s(literal -2 binary64))
%171 = (*.f64 #s(literal 8 binary64) #s(literal 4 binary64))
%173 = (*.f64 #s(literal 4 binary64) #s(literal 8 binary64))
%175 = (/.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))
%177 = (fabs.f64 #s(literal 0 binary64))
%179 = (+.f64 %57 %57)
%183 = (+.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))
%185 = (+.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
%187 = (-.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))
%192 = (+.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))
%194 = (+.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))
%197 = (-.f64 #s(literal -1 binary64) #s(literal -1 binary64))
%199 = (+.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
%201 = (+.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
%203 = (+.f64 rho0 rho0)
%205 = (+.f64 rho rho)
%207 = (-.f64 #s(literal 0 binary64) #s(literal 2 binary64))
%209 = (-.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
%211 = (-.f64 #s(literal 1 binary64) #s(literal 2 binary64))
%213 = (-.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
%215 = (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
%217 = (-.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
%219 = (-.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
%222 = (+.f64 #s(literal 4 binary64) #s(literal 2 binary64))
%224 = (+.f64 #s(literal 2 binary64) #s(literal 4 binary64))
%226 = (-.f64 #s(literal 4 binary64) #s(literal 4 binary64))
%233 = (-.f64 #s(literal -2 binary64) #s(literal -2 binary64))
%239 = (*.f64 %57 #s(literal 1/2 binary64))
%242 = (*.f64 #s(literal 1/2 binary64) rho0)
%244 = (*.f64 #s(literal 1/2 binary64) rho)
%246 = (*.f64 #s(literal 4 binary64) rho)
%250 = (neg.f64 %205)
%259 = (/.f64 #s(literal 1 binary64) n)
%263 = (/.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))
%265 = (/.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))
%268 = (/.f64 #s(literal -2 binary64) rho)
%270 = (/.f64 #s(literal -2 binary64) n)
%272 = (/.f64 #s(literal -1/2 binary64) rho)
%274 = (/.f64 #s(literal -1/2 binary64) n)
%276 = (/.f64 #s(literal 1 binary64) #s(literal 1/8 binary64))
%278 = (/.f64 #s(literal 1 binary64) rho)
%280 = (/.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
%282 = (/.f64 #s(literal 2 binary64) rho)
%284 = (/.f64 #s(literal 2 binary64) n)
%286 = (/.f64 #s(literal 1/2 binary64) rho)
%288 = (/.f64 #s(literal 1/2 binary64) n)
%290 = (/.f64 #s(literal -1 binary64) rho)
%292 = (/.f64 #s(literal -1 binary64) n)
%294 = (/.f64 #s(literal 1/8 binary64) #s(literal -1 binary64))
%296 = (/.f64 #s(literal 1/8 binary64) #s(literal 4 binary64))
%298 = (/.f64 #s(literal 1/8 binary64) #s(literal 2 binary64))
%301 = (/.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))
%303 = (/.f64 #s(literal -4 binary64) #s(literal -1/2 binary64))
%307 = (/.f64 #s(literal 1/8 binary64) #s(literal -1/2 binary64))
%309 = (/.f64 #s(literal -1/2 binary64) #s(literal 1/4 binary64))
%314 = (/.f64 #s(literal 1/4 binary64) #s(literal -2 binary64))
%316 = (/.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))
%323 = (sqrt.f64 #s(literal 2 binary64))
%324 = (sqrt.f64 #s(literal 1/2 binary64))
%327 = (neg.f64 n)
%329 = (*.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64))
%331 = (log.f64 rho)
%335 = (/.f64 #s(literal -1/2 binary64) #s(literal -8 binary64))
%337 = (/.f64 #s(literal 1/2 binary64) %205)
%339 = (/.f64 #s(literal -1/2 binary64) #s(literal 8 binary64))
%341 = (/.f64 #s(literal 1/4 binary64) #s(literal 8 binary64))
%344 = (+.f64 n n)
%346 = (*.f64 %288 n)
%348 = (*.f64 #s(literal 1 binary64) n)
%350 = (*.f64 %284 n)
%352 = (*.f64 %292 n)
%354 = (/.f64 #s(literal 1 binary64) %246)
%356 = (/.f64 #s(literal 2 binary64) %244)
%358 = (/.f64 #s(literal 1/2 binary64) %246)
%360 = (*.f64 %274 n)
%362 = (*.f64 %274 #s(literal 0 binary64))
%364 = (*.f64 #s(literal 1/2 binary64) n)
%366 = (neg.f64 %331)
%369 = (/.f64 #s(literal 1 binary64) %272)
%371 = (/.f64 #s(literal 2 binary64) %290)
%373 = (/.f64 #s(literal 2 binary64) %272)
%375 = (/.f64 #s(literal 1/2 binary64) %290)
%377 = (/.f64 #s(literal 1/2 binary64) %282)
%380 = (sqrt.f64 rho)
%381 = (log.f64 %380)
%384 = (neg.f64 %381)
%386 = (*.f64 rho rho)
%387 = (log.f64 %386)
%390 = (*.f64 #s(literal -2 binary64) %331)
%396 = (/.f64 rho0 rho)
%397 = (log.f64 %396)
%404 = (*.f64 %384 #s(literal 0 binary64))
%406 = (*.f64 #s(literal 0 binary64) %390)
%408 = (*.f64 %397 #s(literal 2 binary64))
%410 = (*.f64 %397 #s(literal 1/2 binary64))
%414 = (pow.f64 #s(literal 1/4 binary64) #s(literal 3 binary64))
%415 = (pow.f64 #s(literal 4 binary64) #s(literal 3 binary64))
%417 = (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))
%418 = (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))
%421 = (/.f64 %397 n)
%422 = (exp.f64 %421)
%424 = (*.f64 %422 #s(literal 2795330461496381/281474976710656 binary64))
%425 = (atan.f64 %424)
%426 = (fma.f64 %57 #s(literal -1/4 binary64) %425)
%429 = (*.f64 %425 #s(literal 4 binary64))
%430 = (-.f64 %429 %57)
%435 = (fma.f64 #s(literal 5/4 binary64) %57 #s(literal 27401669256311/40000000000000 binary64))
%436 = (cos.f64 %435)
%437 = (/.f64 #s(literal -2 binary64) %436)
%439 = (/.f64 #s(literal -1/2 binary64) %436)
%441 = (fma.f64 #s(literal 1/4 binary64) %57 #s(literal 27401669256311/40000000000000 binary64))
%442 = (cos.f64 %441)
%443 = (/.f64 #s(literal 1 binary64) %442)
%445 = (*.f64 #s(literal -1/2 binary64) %57)
%446 = (fma.f64 %425 #s(literal 2 binary64) %445)
%449 = (*.f64 %57 #s(literal -1/8 binary64))
%450 = (fma.f64 %425 #s(literal 1/2 binary64) %449)
%452 = (fma.f64 %425 #s(literal -4 binary64) %57)
%453 = (*.f64 #s(literal -1/4 binary64) #s(literal 0 binary64))
%456 = (*.f64 #s(literal 0 binary64) %452)
%458 = (*.f64 %452 #s(literal -2 binary64))
%459 = (*.f64 #s(literal 1/8 binary64) #s(literal 0 binary64))
%461 = (*.f64 #s(literal 0 binary64) %458)
%463 = (tan.f64 %441)
%465 = (atan.f64 (*.f64 %422 %463))
%466 = (fma.f64 %57 #s(literal -1/4 binary64) %465)
%470 = (-.f64 (*.f64 %465 #s(literal 4 binary64)) %57)
%473 = (fma.f64 %465 #s(literal 2 binary64) %445)
%475 = (fma.f64 %465 #s(literal 1/2 binary64) %449)
%477 = (fma.f64 %465 #s(literal -4 binary64) %57)
%481 = (*.f64 #s(literal 0 binary64) %477)
%483 = (*.f64 %477 #s(literal -2 binary64))
%485 = (*.f64 #s(literal 0 binary64) %483)
%488 = (neg.f64 rho0)
%501 = (*.f64 rho0 rho0)
%543 = (*.f64 #s(literal 1/4 binary64) rho0)
%545 = (*.f64 #s(literal 4 binary64) rho0)
%547 = (*.f64 #s(literal -1/2 binary64) rho0)
%550 = (*.f64 rho0 #s(literal 1/4 binary64))
%552 = (*.f64 rho0 #s(literal -2 binary64))
%554 = (*.f64 rho0 #s(literal 4 binary64))
%557 = (fabs.f64 %203)
%559 = (*.f64 %488 #s(literal 0 binary64))
%562 = (*.f64 #s(literal -2 binary64) rho0)
%567 = (/.f64 rho0 #s(literal 1/2 binary64))
%569 = (/.f64 rho0 #s(literal 4 binary64))
%574 = (fabs.f64 %242)
%581 = (/.f64 #s(literal 1 binary64) rho0)
%622 = (*.f64 %203 #s(literal 2 binary64))
%624 = (*.f64 %203 #s(literal 4 binary64))
%648 = (*.f64 %242 #s(literal 1/2 binary64))
%651 = (*.f64 %203 #s(literal -2 binary64))
%654 = (*.f64 #s(literal -2 binary64) %203)
%656 = (*.f64 #s(literal 2 binary64) %203)
%660 = (/.f64 %203 #s(literal 8 binary64))
%662 = (*.f64 %488 #s(literal 1/2 binary64))
%668 = (/.f64 %203 #s(literal 1/2 binary64))
%703 = (*.f64 #s(literal 3/2 binary64) %242)
%705 = (*.f64 #s(literal 1/2 binary64) %242)
%707 = (*.f64 %242 #s(literal 3/2 binary64))
%717 = (log.f64 rho0)
%811 = (*.f64 #s(literal 1/4 binary64) rho)
%814 = (*.f64 #s(literal -1/2 binary64) rho)
%819 = (fabs.f64 %205)
%824 = (*.f64 #s(literal -2 binary64) rho)
%826 = (/.f64 rho #s(literal 4 binary64))
%828 = (/.f64 rho #s(literal 1/4 binary64))
%830 = (/.f64 rho #s(literal -1/2 binary64))
%833 = (/.f64 rho #s(literal -2 binary64))
%837 = (fabs.f64 %244)
%839 = (fabs.f64 %246)
%841 = (*.f64 #s(literal 1/2 binary64) %152)
%875 = (*.f64 #s(literal 4 binary64) %152)
%877 = (/.f64 %152 #s(literal 1/4 binary64))
%879 = (/.f64 %152 #s(literal 2 binary64))
%881 = (/.f64 %152 #s(literal 1/2 binary64))
%884 = (/.f64 %152 #s(literal -2 binary64))
%901 = (fabs.f64 %282)
%910 = (*.f64 #s(literal 1/8 binary64) %205)
%940 = (*.f64 #s(literal 1/2 binary64) %244)
%942 = (*.f64 #s(literal 2 binary64) %246)
%944 = (*.f64 #s(literal -1/8 binary64) %246)
%946 = (/.f64 %205 #s(literal 4 binary64))
%948 = (/.f64 %205 #s(literal 1/2 binary64))
%950 = (/.f64 %205 #s(literal -1/2 binary64))
%952 = (/.f64 %205 #s(literal 1/4 binary64))
%954 = (/.f64 %205 #s(literal -1 binary64))
%968 = (/.f64 %244 #s(literal 1/4 binary64))
%970 = (/.f64 %244 #s(literal 2 binary64))
%972 = (/.f64 %244 #s(literal -1/2 binary64))
%974 = (/.f64 %246 #s(literal 1 binary64))
%976 = (/.f64 %246 #s(literal -1 binary64))
%978 = (/.f64 %246 #s(literal 1/2 binary64))
%980 = (/.f64 %244 #s(literal -1 binary64))
%982 = (/.f64 %244 #s(literal 4 binary64))
%984 = (/.f64 %246 #s(literal 1/4 binary64))
%990 = (*.f64 #s(literal 4 binary64) %278)
%1002 = (*.f64 #s(literal -2 binary64) %278)
%1006 = (/.f64 #s(literal -1 binary64) %268)
%1008 = (/.f64 #s(literal 1/4 binary64) %278)
%1010 = (/.f64 #s(literal 1/8 binary64) %286)
%1012 = (/.f64 #s(literal -1/2 binary64) %268)
%1015 = (/.f64 #s(literal 1/4 binary64) %290)
%1017 = (/.f64 #s(literal -1/2 binary64) %282)
%1019 = (/.f64 #s(literal 1/2 binary64) %268)
%1021 = (/.f64 #s(literal -2 binary64) %286)
%1024 = (/.f64 #s(literal 4 binary64) %290)
%1026 = (/.f64 #s(literal 4 binary64) %286)
%1028 = (/.f64 #s(literal 1/4 binary64) %272)
%1030 = (/.f64 #s(literal -1/2 binary64) %278)
%1032 = (/.f64 #s(literal 1 binary64) %268)
%1035 = (/.f64 #s(literal -1 binary64) %282)
%1037 = (/.f64 #s(literal -2 binary64) %278)
%1041 = (/.f64 #s(literal -1 binary64) %286)
%1043 = (/.f64 #s(literal 1/4 binary64) %282)
%1045 = (/.f64 #s(literal 1/8 binary64) %278)
%1070 = (/.f64 %152 #s(literal 4 binary64))
%1126 = (/.f64 %246 #s(literal -1/2 binary64))
%1132 = (/.f64 #s(literal 4 binary64) %272)
%1172 = (/.f64 #s(literal 3/2 binary64) %282)
%1177 = (*.f64 %282 %278)
%1179 = (*.f64 %286 %278)
%1181 = (*.f64 %290 %278)
%1188 = (pow.f64 rho #s(literal 0 binary64))
%1192 = (exp.f64 %387)
%1204 = (exp.f64 #s(literal 1 binary64))
%1206 = (exp.f64 #s(literal -1 binary64))
%1208 = (exp.f64 #s(literal 2 binary64))
%1210 = (exp.f64 %381)
%1256 = (neg.f64 %396)
%1265 = (/.f64 rho rho0)
%1278 = (/.f64 rho0 %205)
%1290 = (*.f64 %282 rho0)
%1292 = (*.f64 #s(literal 2 binary64) %396)
%1294 = (/.f64 rho0 %244)
%1296 = (*.f64 #s(literal 1/4 binary64) %396)
%1298 = (/.f64 rho0 %246)
%1300 = (*.f64 #s(literal 4 binary64) %396)
%1302 = (*.f64 %272 rho0)
%1304 = (*.f64 #s(literal -1/2 binary64) %396)
%1311 = (*.f64 #s(literal 0 binary64) %488)
%1317 = (fabs.f64 %1278)
%1328 = (/.f64 rho0 #s(literal 1/4 binary64))
%1337 = (/.f64 #s(literal 1/2 binary64) %1265)
%1339 = (/.f64 #s(literal 2 binary64) %1265)
%1341 = (/.f64 #s(literal 1/4 binary64) %1265)
%1343 = (/.f64 #s(literal 4 binary64) %1265)
%1345 = (/.f64 #s(literal -1/2 binary64) %1265)
%1348 = (*.f64 %272 %488)
%1350 = (*.f64 %268 %488)
%1352 = (*.f64 %286 %488)
%1355 = (*.f64 %488 #s(literal 2 binary64))
%1357 = (*.f64 %488 #s(literal -2 binary64))
%1371 = (/.f64 %501 %386)
%1388 = (*.f64 #s(literal 1 binary64) %1278)
%1390 = (*.f64 #s(literal 4 binary64) %1278)
%1392 = (*.f64 #s(literal 1/2 binary64) %1278)
%1394 = (*.f64 %278 %203)
%1416 = (*.f64 %278 %242)
%1422 = (*.f64 %278 #s(literal 0 binary64))
%1434 = (/.f64 %203 #s(literal -1 binary64))
%1437 = (/.f64 %242 #s(literal 1/4 binary64))
%1439 = (/.f64 %242 #s(literal -1 binary64))
%1449 = (/.f64 #s(literal 0 binary64) %1265)
%1511 = (/.f64 %203 #s(literal 1/4 binary64))
%1537 = (/.f64 %242 #s(literal 2 binary64))
%1560 = (*.f64 %488 %272)
%1653 = (*.f64 %242 %278)
%1686 = (/.f64 (+.f64 %396 %1265) #s(literal 2 binary64))
%1688 = (/.f64 (-.f64 %396 %1265) #s(literal 2 binary64))
%1694 = (*.f64 #s(literal 1 binary64) %1688)
%1696 = (*.f64 %1688 #s(literal 1 binary64))
%1703 = (exp.f64 %410)
%1827 = (*.f64 #s(literal 1/4 binary64) #s(literal 3 binary64))
%1829 = (*.f64 #s(literal 3 binary64) #s(literal 1/4 binary64))
%1831 = (*.f64 #s(literal 3/2 binary64) #s(literal 1/2 binary64))
%1833 = (*.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
%1841 = (/.f64 #s(literal 3 binary64) #s(literal 4 binary64))
%1843 = (/.f64 #s(literal 3/2 binary64) #s(literal 2 binary64))
%1862 = (-.f64 #s(literal 0 binary64) #s(literal -8 binary64))
%1883 = (*.f64 #s(literal -8 binary64) #s(literal 1/2 binary64))
%2006 = (*.f64 %259 %327)
%2073 = (*.f64 #s(literal -4 binary64) #s(literal -2 binary64))
%2085 = (*.f64 #s(literal -2 binary64) n)
%2086 = (neg.f64 %344)
%2111 = (fma.f64 #s(literal -2 binary64) #s(literal -4 binary64) #s(literal 0 binary64))
%2112 = (*.f64 #s(literal -2 binary64) #s(literal -4 binary64))
%2257 = (cosh.f64 #s(literal 1 binary64))
%2259 = (sinh.f64 #s(literal 1 binary64))
%2283 = (*.f64 n #s(literal 1 binary64))
%2286 = (*.f64 n #s(literal 1/2 binary64))
%2288 = (*.f64 #s(literal 4 binary64) n)
%2290 = (*.f64 n #s(literal 4 binary64))
%2293 = (*.f64 n #s(literal -2 binary64))
%2299 = (/.f64 #s(literal 1/4 binary64) n)
%2302 = (/.f64 #s(literal 4 binary64) n)
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%9721 = (-.f64 %9720 %4110)
%9723 = (*.f64 %7794 %463)
%9724 = (atan.f64 %9723)
%9725 = (-.f64 %9724 %4110)
#s(literal 2 binary64)
(fabs.f64 #s(literal 2 binary64))
(fabs.f64 #s(literal -2 binary64))
(neg.f64 #s(literal -2 binary64))
(sqrt.f64 #s(literal 4 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 3/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -2 binary64))
(-.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 3/2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1/2 binary64))
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(*.f64 #s(literal -4 binary64) #s(literal -1/2 binary64))
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(*.f64 #s(literal 1/8 binary64) #s(literal 16 binary64))
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(*.f64 #s(literal -1/2 binary64) #s(literal -4 binary64))
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(fma.f64 %57 #s(literal 0 binary64) #s(literal 2 binary64))
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(fma.f64 rho0 #s(literal 0 binary64) #s(literal 2 binary64))
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(fma.f64 #s(literal -1 binary64) #s(literal -1/2 binary64) #s(literal 3/2 binary64))
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(fma.f64 #s(literal 0 binary64) rho #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 2 binary64))
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(fma.f64 #s(literal 0 binary64) #s(literal 4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 2 binary64))
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(fma.f64 #s(literal 0 binary64) #s(literal -4 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 0 binary64) #s(literal -1/4 binary64) #s(literal 2 binary64))
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(fma.f64 %8188 #s(literal -1/4 binary64) %9244)
(fma.f64 %8190 #s(literal 1/8 binary64) %9235)
(fma.f64 %8190 #s(literal 1/8 binary64) %461)
(fma.f64 %458 #s(literal 1/4 binary64) %9235)
(fma.f64 %458 #s(literal 1/4 binary64) %461)
(fma.f64 %458 #s(literal 1/16 binary64) %9242)
(fma.f64 %458 #s(literal 1/16 binary64) %9244)
(fma.f64 %458 %459 %446)
(fma.f64 %8320 #s(literal 1/16 binary64) %9235)
(fma.f64 %8320 #s(literal 1/16 binary64) %461)
(fma.f64 %8196 #s(literal -1/4 binary64) %9235)
(fma.f64 %8196 #s(literal -1/4 binary64) %461)
(fma.f64 %8184 #s(literal -4 binary64) %9235)
(fma.f64 %8184 #s(literal -4 binary64) %461)
(fma.f64 %8318 #s(literal 2 binary64) %9163)
(fma.f64 %8318 #s(literal 2 binary64) %9165)
(fma.f64 %461 #s(literal 1/8 binary64) %446)
(fma.f64 %8178 #s(literal 2 binary64) %9242)
(fma.f64 %8178 #s(literal 2 binary64) %9244)
(fma.f64 #s(literal 4 binary64) %8316 %9144)
(fma.f64 #s(literal 4 binary64) %8318 %9144)
(fma.f64 %8320 %8321 %9144)
(fma.f64 %8323 #s(literal 4 binary64) %9144)
(fma.f64 %8318 #s(literal 4 binary64) %9144)
(fma.f64 #s(literal 1/2 binary64) %8792 %9235)
(fma.f64 #s(literal 1/2 binary64) %8792 %461)
(fma.f64 #s(literal 4 binary64) %8794 %9235)
(fma.f64 #s(literal 4 binary64) %8794 %461)
(fma.f64 %8796 #s(literal 4 binary64) %9235)
(fma.f64 %8796 #s(literal 4 binary64) %461)
(/.f64 (fma.f64 %446 #s(literal -8 binary64) %8214) #s(literal -16 binary64))
(/.f64 %9410 %3549)
(/.f64 %9410 %171)
(/.f64 %9410 %173)
(/.f64 (fma.f64 #s(literal 2 binary64) %452 (*.f64 #s(literal -4 binary64) %446)) #s(literal -8 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) %452 (*.f64 #s(literal -8 binary64) %446)) #s(literal -16 binary64))
(/.f64 (fma.f64 #s(literal 4 binary64) %452 (*.f64 %446 #s(literal -8 binary64))) #s(literal -16 binary64))
(/.f64 (fma.f64 #s(literal -4 binary64) %452 %8901) #s(literal 16 binary64))
(/.f64 %9425 %3487)
(/.f64 %9425 %3350)
(fma.f64 %8214 %5215 %9144)
(fma.f64 %8320 %8358 %9144)
(fma.f64 %8360 #s(literal 4 binary64) %9144)
(fma.f64 %8362 #s(literal 4 binary64) %9144)
(fma.f64 %8364 #s(literal 8 binary64) %9144)
(/.f64 (-.f64 %8320 %8805) %171)
(fma.f64 %8477 %8478 %426)
(fma.f64 %8480 %8481 %426)
(fma.f64 #s(literal 2 binary64) %8323 %9242)
(fma.f64 #s(literal 2 binary64) %8323 %9244)
(fma.f64 #s(literal -2 binary64) %8883 %9235)
(fma.f64 #s(literal -2 binary64) %8883 %461)
(fma.f64 %8323 #s(literal 8 binary64) %9235)
(fma.f64 %8323 #s(literal 8 binary64) %461)
(fma.f64 %8446 #s(literal -1/8 binary64) %9235)
(fma.f64 %8446 #s(literal -1/8 binary64) %461)
(fma.f64 %8318 #s(literal 2 binary64) %9242)
(fma.f64 %8318 #s(literal 2 binary64) %9244)
(/.f64 (fma.f64 %452 #s(literal -8 binary64) (*.f64 #s(literal 16 binary64) %446)) %8331)
(/.f64 (fma.f64 %452 #s(literal -8 binary64) (*.f64 %446 #s(literal 16 binary64))) %8331)
(/.f64 (fma.f64 %8196 #s(literal 4 binary64) %8337) %3348)
(/.f64 (fma.f64 %8196 #s(literal -4 binary64) %9455) %3536)
(/.f64 (fma.f64 %8196 #s(literal -4 binary64) %8320) %3536)
(/.f64 (fma.f64 %446 #s(literal 16 binary64) %8320) %8334)
(/.f64 (fma.f64 %446 #s(literal -16 binary64) %8337) %8342)
(/.f64 (fma.f64 %452 #s(literal 8 binary64) %9464) %3487)
(/.f64 (fma.f64 %458 #s(literal -4 binary64) %8337) %3509)
(/.f64 (fma.f64 %8190 #s(literal -4 binary64) (*.f64 %452 #s(literal 16 binary64))) %9471)
(/.f64 (fma.f64 %8214 #s(literal -4 binary64) (*.f64 %452 #s(literal -16 binary64))) %9475)
(/.f64 (fma.f64 %452 #s(literal 16 binary64) %9477) %9479)
(/.f64 (fma.f64 %452 #s(literal -16 binary64) %9481) %9483)
(/.f64 (fma.f64 %458 #s(literal -4 binary64) %8805) %3509)
(/.f64 (fma.f64 %8190 #s(literal -4 binary64) %9487) %9471)
(/.f64 (fma.f64 %8214 #s(literal -4 binary64) %9490) %9475)
(/.f64 (fma.f64 %452 #s(literal 16 binary64) (*.f64 #s(literal -4 binary64) %8190)) %9479)
(/.f64 (fma.f64 %452 #s(literal -16 binary64) (*.f64 #s(literal -4 binary64) %8214)) %9483)
(/.f64 (fma.f64 %452 #s(literal 8 binary64) %8459) %3350)
(/.f64 (fma.f64 %452 #s(literal -8 binary64) %9501) %3549)
(fma.f64 %8337 %5215 %9235)
(fma.f64 %8337 %5215 %461)
(/.f64 (fma.f64 %8196 #s(literal 4 binary64) %9506) %3348)
(/.f64 (fma.f64 %8190 #s(literal 4 binary64) (*.f64 %430 #s(literal 16 binary64))) %8430)
(/.f64 (fma.f64 %8214 #s(literal 4 binary64) (*.f64 %430 #s(literal -16 binary64))) %8437)
(/.f64 (fma.f64 %430 #s(literal 16 binary64) %8429) %8449)
(/.f64 (fma.f64 %430 #s(literal -16 binary64) %8436) %8455)
(/.f64 (fma.f64 %8190 #s(literal 4 binary64) %9519) %8430)
(/.f64 (fma.f64 %8214 #s(literal 4 binary64) %9522) %8437)
(/.f64 (fma.f64 %430 #s(literal 16 binary64) %8448) %8449)
(/.f64 (fma.f64 %430 #s(literal -16 binary64) %8454) %8455)
(/.f64 (-.f64 %8429 %9487) %8430)
(/.f64 (-.f64 %9464 %8320) %3509)
(/.f64 (-.f64 %8436 %9490) %8437)
(/.f64 (-.f64 %8459 %9455) %3348)
(fma.f64 %8477 %8478 %9144)
(fma.f64 %8480 %8481 %9144)
(/.f64 (-.f64 %9477 %9519) %9471)
(/.f64 (-.f64 %9481 %9522) %9475)
(/.f64 (-.f64 %9501 %9506) %3536)
(/.f64 (-.f64 (*.f64 %7893 #s(literal -16 binary64)) (*.f64 #s(literal -4 binary64) %9142)) %9483)
(/.f64 (-.f64 (*.f64 %429 #s(literal -16 binary64)) (*.f64 #s(literal 4 binary64) %9142)) %8455)
(/.f64 (-.f64 (*.f64 %7893 #s(literal 16 binary64)) (*.f64 #s(literal -4 binary64) %9224)) %9479)
(/.f64 (-.f64 (*.f64 %429 #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) %9224)) %8449)
(/.f64 (fma.f64 %8196 #s(literal 8 binary64) (*.f64 #s(literal -8 binary64) %458)) %3461)
(/.f64 (fma.f64 %8196 #s(literal 8 binary64) (*.f64 %458 #s(literal -8 binary64))) %3461)
(/.f64 (fma.f64 %8196 #s(literal 16 binary64) (*.f64 #s(literal -8 binary64) %8190)) %9569)
(/.f64 (fma.f64 %8196 #s(literal 16 binary64) (*.f64 %8190 #s(literal -8 binary64))) %9569)
(/.f64 (fma.f64 %8196 #s(literal -16 binary64) (*.f64 #s(literal -8 binary64) %8214)) %9576)
(/.f64 (fma.f64 %8196 #s(literal -16 binary64) (*.f64 %8214 #s(literal -8 binary64))) %9576)
(/.f64 (fma.f64 %446 #s(literal -16 binary64) %8439) %8342)
(/.f64 (fma.f64 %8214 #s(literal 2 binary64) (*.f64 %446 #s(literal -16 binary64))) %8340)
(/.f64 (fma.f64 %458 #s(literal 16 binary64) %9008) %9587)
(/.f64 (fma.f64 %8190 #s(literal 16 binary64) (*.f64 %8190 #s(literal 16 binary64))) %9591)
(/.f64 (fma.f64 %8214 #s(literal 16 binary64) (*.f64 %8190 #s(literal -16 binary64))) %9595)
(/.f64 (fma.f64 %458 #s(literal -16 binary64) %9011) %9598)
(/.f64 (fma.f64 %8190 #s(literal -16 binary64) (*.f64 %8214 #s(literal 16 binary64))) %9602)
(/.f64 (fma.f64 %8214 #s(literal -16 binary64) (*.f64 %8214 #s(literal -16 binary64))) %9606)
(/.f64 (fma.f64 %458 #s(literal 8 binary64) %9013) %3456)
(/.f64 (fma.f64 %8190 #s(literal 8 binary64) (*.f64 %458 #s(literal 16 binary64))) %9612)
(/.f64 (fma.f64 %8214 #s(literal 8 binary64) (*.f64 %458 #s(literal -16 binary64))) %9616)
(/.f64 (fma.f64 %8214 #s(literal 2 binary64) (*.f64 #s(literal -16 binary64) %446)) %8340)
(/.f64 (fma.f64 %458 #s(literal 16 binary64) %9016) %9587)
(/.f64 (fma.f64 %8190 #s(literal 16 binary64) (*.f64 #s(literal 16 binary64) %8190)) %9591)
(/.f64 (fma.f64 %8214 #s(literal 16 binary64) (*.f64 #s(literal -16 binary64) %8190)) %9595)
(/.f64 (fma.f64 %458 #s(literal -16 binary64) %9019) %9598)
(/.f64 (fma.f64 %8190 #s(literal -16 binary64) (*.f64 #s(literal 16 binary64) %8214)) %9602)
(/.f64 (fma.f64 %8214 #s(literal -16 binary64) (*.f64 #s(literal -16 binary64) %8214)) %9606)
(/.f64 (fma.f64 %458 #s(literal 8 binary64) %9021) %3456)
(/.f64 (fma.f64 %8190 #s(literal 8 binary64) (*.f64 #s(literal 16 binary64) %458)) %9612)
(/.f64 (fma.f64 %8214 #s(literal 8 binary64) (*.f64 #s(literal -16 binary64) %458)) %9616)
(/.f64 (fma.f64 %458 #s(literal -8 binary64) %9028) %3459)
(/.f64 (fma.f64 %8190 #s(literal -8 binary64) (*.f64 %8196 #s(literal 16 binary64))) %9649)
(/.f64 (fma.f64 %8196 #s(literal -8 binary64) (*.f64 %8196 #s(literal -8 binary64))) %3543)
(/.f64 (fma.f64 %8214 #s(literal -8 binary64) (*.f64 %8196 #s(literal -16 binary64))) %9656)
(/.f64 (fma.f64 %458 #s(literal -8 binary64) %9042) %3459)
(/.f64 (fma.f64 %8190 #s(literal -8 binary64) (*.f64 #s(literal 16 binary64) %8196)) %9649)
(/.f64 (fma.f64 %8196 #s(literal -8 binary64) (*.f64 #s(literal -8 binary64) %8196)) %3543)
(/.f64 (fma.f64 %8214 #s(literal -8 binary64) (*.f64 #s(literal -16 binary64) %8196)) %9656)
(fma.f64 #s(literal 0 binary64) %466 %446)
(fma.f64 %466 #s(literal 0 binary64) %446)
(fma.f64 #s(literal 0 binary64) %470 %446)
(fma.f64 %470 #s(literal 0 binary64) %446)
(fma.f64 #s(literal 1/2 binary64) %426 %9673)
(fma.f64 %426 #s(literal 1/2 binary64) %9673)
(fma.f64 %452 #s(literal -1/8 binary64) %9673)
(+.f64 %450 %9673)
(fma.f64 #s(literal 1/8 binary64) %430 %9673)
(fma.f64 %430 #s(literal 1/8 binary64) %9673)
(+.f64 (+.f64 %426 %450) %450)
(fma.f64 #s(literal 1/2 binary64) %426 %9682)
(fma.f64 %426 #s(literal 1/2 binary64) %9682)
(fma.f64 %452 #s(literal -1/8 binary64) %9682)
(fma.f64 #s(literal 0 binary64) %473 %446)
(fma.f64 #s(literal 0 binary64) %475 %446)
(fma.f64 %477 %453 %446)
(fma.f64 %473 #s(literal 0 binary64) %446)
(fma.f64 %475 #s(literal 0 binary64) %446)
(fma.f64 %481 #s(literal -1/4 binary64) %446)
(+.f64 %450 %9682)
(fma.f64 #s(literal 1/8 binary64) %430 %9682)
(fma.f64 %430 #s(literal 1/8 binary64) %9682)
(fma.f64 #s(literal 2 binary64) %8180 %9673)
(fma.f64 #s(literal 1 binary64) %450 %9673)
(fma.f64 #s(literal 4 binary64) %8615 %9673)
(fma.f64 %446 #s(literal 1/4 binary64) %9673)
(fma.f64 #s(literal 1/4 binary64) %446 %9673)
(fma.f64 %450 #s(literal 1 binary64) %9673)
(fma.f64 %8188 #s(literal -1/4 binary64) %9673)
(fma.f64 %458 #s(literal 1/16 binary64) %9673)
(fma.f64 %8178 #s(literal 2 binary64) %9673)
(fma.f64 #s(literal 2 binary64) %8180 %9682)
(fma.f64 #s(literal 1 binary64) %450 %9682)
(fma.f64 #s(literal 4 binary64) %8615 %9682)
(fma.f64 %446 #s(literal 1/4 binary64) %9682)
(fma.f64 #s(literal 1/4 binary64) %446 %9682)
(fma.f64 %450 #s(literal 1 binary64) %9682)
(fma.f64 %8188 #s(literal -1/4 binary64) %9682)
(fma.f64 %458 #s(literal 1/16 binary64) %9682)
(fma.f64 %8178 #s(literal 2 binary64) %9682)
(fma.f64 %483 %459 %446)
(fma.f64 %485 #s(literal 1/8 binary64) %446)
(fma.f64 #s(literal 2 binary64) %8323 %9673)
(fma.f64 %8318 #s(literal 2 binary64) %9673)
(fma.f64 #s(literal 2 binary64) %8323 %9682)
(fma.f64 %8318 #s(literal 2 binary64) %9682)
%9719
%9720
%9721
(*.f64 #s(literal 2 binary64) %9721)
%9723
%9724
%9725
(*.f64 #s(literal 2 binary64) %9725)

reconstruct1.1s (0.7%)

Memory
18.2MiB live, 73.3MiB allocated; 20ms collecting garbage

eval27.6s (18.4%)

Memory
61.3MiB live, 1 467.8MiB allocated; 679ms collecting garbage
Compiler

Compiled 359 545 to 67 780 computations (81.1% saved)

prune2.9s (1.9%)

Memory
2.9MiB live, 456.4MiB allocated; 73ms collecting garbage
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New12 979412 983
Fresh000
Picked303
Done000
Total12 982412 986
Accuracy
100.0%
Counts
12 986 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶91.9%
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (*.f64 (pow.f64 (/.f64 rho0 rho) (/.f64 #s(literal 1 binary64) n)) #s(literal 2795330461496381/281474976710656 binary64))) #s(literal 884279719003555/1125899906842624 binary64)))
▶69.8%
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (*.f64 (approx (pow (/ rho0 rho) (/ 1 n)) (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 rho0 rho)) n))) #s(literal 2795330461496381/281474976710656 binary64))) (/.f64 (PI.f64 ) #s(literal 4 binary64))))
▶100.0%
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (*.f64 (approx (pow (/ rho0 rho) (/ 1 n)) (exp.f64 (/.f64 (+.f64 (log.f64 rho0) (*.f64 #s(literal -1 binary64) (log.f64 rho))) n))) #s(literal 2795330461496381/281474976710656 binary64))) (/.f64 (PI.f64 ) #s(literal 4 binary64))))
▶52.1%
(*.f64 #s(literal 2 binary64) (-.f64 (atan.f64 (approx (* (pow (/ rho0 rho) (/ 1 n)) 2795330461496381/281474976710656) #s(literal 2795330461496381/281474976710656 binary64))) (/.f64 (PI.f64 ) #s(literal 4 binary64))))
Compiler

Compiled 58 to 38 computations (34.5% saved)

sample49.0ms (0.0%)

Memory
-17.3MiB live, 11.9MiB allocated; 3ms collecting garbage
Calls
Call 1
Inputs
%0 = (PI )
%0
(/ %0 4)
Outputs
#s(literal 884279719003555/281474976710656 binary64)
#s(literal 884279719003555/1125899906842624 binary64)
Samples
0.0ms1×0valid
Compiler

Compiled 6 to 5 computations (16.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
adjust: 0.0ms (0.0% of total, 0.0 MiB)

series7.0s (4.6%)

Memory
29.3MiB live, 239.5MiB allocated; 48ms collecting garbage
Counts
41 → 70
Calls
Call 1
Inputs
%3 = (/.f64 rho0 rho)
%6 = (/.f64 #s(literal 1 binary64) n)
%7 = (pow.f64 %3 %6)
%8 = (PI.f64 )
%10 = (/.f64 %8 #s(literal 4 binary64))
%13 = (log.f64 rho0)
%14 = (log.f64 %3)
%15 = (/.f64 %14 n)
%17 = (log.f64 rho)
%18 = (*.f64 #s(literal -1 binary64) %17)
%19 = (+.f64 %13 %18)
%20 = (/.f64 %19 n)
%21 = (exp.f64 %20)
%25 = (pow (/ rho0 rho) (/ 1 n))
%26 = (approx %25 %21)
%27 = (+.f64 #s(literal 1 binary64) %15)
%28 = (approx %25 %27)
%29 = (*.f64 %7 #s(literal 2795330461496381/281474976710656 binary64))
%30 = (atan.f64 %29)
%33 = (approx (* %25 2795330461496381/281474976710656) #s(literal 2795330461496381/281474976710656 binary64))
%34 = (-.f64 %30 #s(literal 884279719003555/1125899906842624 binary64))
%36 = (*.f64 %26 #s(literal 2795330461496381/281474976710656 binary64))
%37 = (atan.f64 %36)
%38 = (-.f64 %37 %10)
%40 = (*.f64 %28 #s(literal 2795330461496381/281474976710656 binary64))
%41 = (atan.f64 %40)
%42 = (-.f64 %41 %10)
%44 = (atan.f64 %33)
%45 = (-.f64 %44 %10)
#s(literal 2 binary64)
rho0
rho
%3
#s(literal 1 binary64)
n
%6
%7
%8
#s(literal 4 binary64)
%10
#s(literal 884279719003555/1125899906842624 binary64)
#s(literal 2795330461496381/281474976710656 binary64)
%13
%14
%15
#s(literal -1 binary64)
%17
%18
%19
%20
%21
%26
%27
%28
%29
%30
%33
%34
(*.f64 #s(literal 2 binary64) %34)
%36
%37
%38
(*.f64 #s(literal 2 binary64) %38)
%40
%41
%42
(*.f64 #s(literal 2 binary64) %42)
%44
%45
(*.f64 #s(literal 2 binary64) %45)
Outputs
%6 = (/ rho0 rho)
%7 = (/.f64 rho0 rho)
%11 = (/ 1 n)
%12 = (pow %6 %11)
%13 = (log.f64 rho0)
%16 = (log.f64 (/.f64 #s(literal 1 binary64) rho))
%17 = (+.f64 %13 %16)
%18 = (/.f64 %17 n)
%19 = (exp.f64 %18)
%21 = (log rho0)
%23 = (log %6)
%25 = (/ %23 n)
%28 = (log rho)
%29 = (* -1 %28)
%30 = (+ %21 %29)
%32 = (log.f64 rho)
%33 = (*.f64 #s(literal -1 binary64) %32)
%34 = (+.f64 %13 %33)
%36 = (/ %30 n)
%37 = (/.f64 %34 n)
%39 = (exp %36)
%40 = (exp.f64 %37)
%42 = (+ 1 %25)
%43 = (/.f64 %13 n)
%44 = (/.f64 %16 n)
%49 = (* %12 2795330461496381/281474976710656)
%53 = (atan %49)
%54 = (log.f64 %7)
%55 = (/.f64 %54 n)
%56 = (exp.f64 %55)
%57 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %56)
%58 = (atan.f64 %57)
%61 = (- %53 884279719003555/1125899906842624)
%63 = (-.f64 %58 #s(literal 884279719003555/1125899906842624 binary64))
%65 = (* 2 %61)
%72 = (- %53 (/ (PI ) 4))
%75 = (*.f64 #s(literal 1/4 binary64) (PI.f64 ))
%76 = (-.f64 %58 %75)
%78 = (* 2 %72)
%82 = (log.f64 (/.f64 #s(literal 1 binary64) rho0))
%83 = (*.f64 #s(literal -1 binary64) %82)
%84 = (+.f64 %16 %83)
%85 = (/.f64 %84 n)
%86 = (exp.f64 %85)
%91 = (fma.f64 #s(literal -1 binary64) %32 %83)
%93 = (/.f64 %91 n)
%104 = (log.f64 (/.f64 #s(literal -1 binary64) rho))
%106 = (log.f64 (/.f64 #s(literal -1 binary64) rho0))
%108 = (+.f64 %104 (*.f64 #s(literal -1 binary64) %106))
%109 = (/.f64 %108 n)
%110 = (exp.f64 %109)
%115 = (/.f64 %104 n)
%124 = (/.f64 %32 n)
%134 = (log.f64 (*.f64 #s(literal -1 binary64) rho0))
%135 = (+.f64 %134 %104)
%136 = (/.f64 %135 n)
%137 = (exp.f64 %136)
%148 = (/.f64 #s(literal 1 binary64) n)
%160 = (pow.f64 %54 #s(literal 2 binary64))
%161 = (pow.f64 n #s(literal 2 binary64))
%162 = (/.f64 %160 %161)
%163 = (fma.f64 #s(literal 1/2 binary64) %162 %55)
%168 = (pow.f64 %54 #s(literal 3 binary64))
%169 = (pow.f64 n #s(literal 3 binary64))
%170 = (/.f64 %168 %169)
%174 = (pow.f64 %34 #s(literal 2 binary64))
%176 = (fma.f64 #s(literal 1/2 binary64) (/.f64 %174 %161) %43)
%180 = (pow.f64 %34 #s(literal 3 binary64))
%187 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %55)
%191 = (fma.f64 #s(literal 2795330461496381/562949953421312 binary64) %162 %187)
%200 = (atan.f64 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) (pow.f64 %7 %148)))
%202 = (-.f64 %200 #s(literal 884279719003555/1125899906842624 binary64))
%206 = (-.f64 %200 %75)
%211 = (/.f64 %160 n)
%218 = (/.f64 %168 n)
(approx 2 #s(literal 0 binary64))
(approx rho0 rho0)
(approx %6 %7)
(approx %12 %19)
(approx %21 %13)
(approx %23 %17)
(approx %25 %18)
(approx %30 %34)
(approx %36 %37)
(approx %39 %40)
(approx %42 (+.f64 #s(literal 1 binary64) (+.f64 %43 %44)))
(approx %49 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %19))
(approx %53 %58)
(approx %61 %63)
(approx %65 (*.f64 #s(literal 2 binary64) %63))
(approx %72 %76)
(approx %78 (*.f64 #s(literal 2 binary64) %76))
(approx %12 %86)
(approx %21 %83)
(approx %23 %84)
(approx %25 %85)
(approx %30 %91)
(approx %36 %93)
(approx %39 (exp.f64 %93))
(approx %42 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 %82 n) %44)))
(approx %49 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %86))
(approx %12 %110)
(approx %23 %108)
(approx %25 %109)
(approx %42 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 %106 n) %115)))
(approx %49 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %110))
(approx rho rho)
(approx %28 %32)
(approx %29 %33)
(approx %42 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) %124 %43)))
(approx %49 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %40))
(approx %28 (*.f64 #s(literal -1 binary64) %16))
(approx %29 %16)
(approx %12 %137)
(approx %23 %135)
(approx %25 %136)
(approx %42 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 %134 n) %115)))
(approx %49 (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %137))
(approx n n)
(approx %11 %148)
(approx %12 %56)
(approx %25 %55)
(approx %42 (/.f64 (+.f64 n %54) n))
(approx %49 %57)
(approx %12 #s(literal 1 binary64))
(approx %12 (+.f64 #s(literal 1 binary64) %55))
(approx %12 (+.f64 #s(literal 1 binary64) %163))
(approx %12 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) %170 %163)))
(approx %39 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) %124 %176)))
(approx %39 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) %124 (fma.f64 #s(literal 1/6 binary64) (/.f64 %180 %169) %176))))
(approx %49 #s(literal 2795330461496381/281474976710656 binary64))
(approx %49 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) %187))
(approx %49 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) %191))
(approx %49 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) (fma.f64 #s(literal 2795330461496381/1688849860263936 binary64) %170 %191)))
(approx %53 %200)
(approx %61 %202)
(approx %65 (*.f64 #s(literal 2 binary64) %202))
(approx %72 %206)
(approx %78 (*.f64 #s(literal 2 binary64) %206))
(approx %12 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %54 (*.f64 #s(literal -1/2 binary64) %211)) n))))
(approx %12 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %54 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) %218 (*.f64 #s(literal 1/2 binary64) %160)) n))) n))))
(approx %39 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %34 (*.f64 #s(literal -1/2 binary64) (/.f64 %174 n))) n))))
(approx %39 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) %34 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 %180 n) (*.f64 #s(literal 1/2 binary64) %174)) n))) n))))
(approx %49 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2795330461496381/281474976710656 binary64) %54 (*.f64 #s(literal -2795330461496381/562949953421312 binary64) %211)) n))))
(approx %49 (+.f64 #s(literal 2795330461496381/281474976710656 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2795330461496381/281474976710656 binary64) %54 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2795330461496381/1688849860263936 binary64) %218 (*.f64 #s(literal 2795330461496381/562949953421312 binary64) %160)) n))) n))))
Calls

9 calls:

TimeVariablePoint
538.0ms
n
0
455.0ms
rho0
0
445.0ms
rho
0
427.0ms
rho0
-inf
290.0ms
rho0
inf

rewrite31.4s (20.9%)

Memory
-179.4MiB live, 1 204.5MiB allocated; 1.2s collecting garbage
Counts
41 → 16 597
Calls
Call 1
Inputs
%3 = (/.f64 rho0 rho)
%6 = (/.f64 #s(literal 1 binary64) n)
%7 = (pow.f64 %3 %6)
%8 = (PI.f64 )
%10 = (/.f64 %8 #s(literal 4 binary64))
%13 = (log.f64 rho0)
%14 = (log.f64 %3)
%15 = (/.f64 %14 n)
%17 = (log.f64 rho)
%18 = (*.f64 #s(literal -1 binary64) %17)
%19 = (+.f64 %13 %18)
%20 = (/.f64 %19 n)
%21 = (exp.f64 %20)
%25 = (pow (/ rho0 rho) (/ 1 n))
%26 = (approx %25 %21)
%27 = (+.f64 #s(literal 1 binary64) %15)
%28 = (approx %25 %27)
%29 = (*.f64 %7 #s(literal 2795330461496381/281474976710656 binary64))
%30 = (atan.f64 %29)
%33 = (approx (* %25 2795330461496381/281474976710656) #s(literal 2795330461496381/281474976710656 binary64))
%34 = (-.f64 %30 #s(literal 884279719003555/1125899906842624 binary64))
%36 = (*.f64 %26 #s(literal 2795330461496381/281474976710656 binary64))
%37 = (atan.f64 %36)
%38 = (-.f64 %37 %10)
%40 = (*.f64 %28 #s(literal 2795330461496381/281474976710656 binary64))
%41 = (atan.f64 %40)
%42 = (-.f64 %41 %10)
%44 = (atan.f64 %33)
%45 = (-.f64 %44 %10)
#s(literal 2 binary64)
rho0
rho
%3
#s(literal 1 binary64)
n
%6
%7
%8
#s(literal 4 binary64)
%10
#s(literal 884279719003555/1125899906842624 binary64)
#s(literal 2795330461496381/281474976710656 binary64)
%13
%14
%15
#s(literal -1 binary64)
%17
%18
%19
%20
%21
%26
%27
%28
%29
%30
%33
%34
(*.f64 #s(literal 2 binary64) %34)
%36
%37
%38
(*.f64 #s(literal 2 binary64) %38)
%40
%41
%42
(*.f64 #s(literal 2 binary64) %42)
%44
%45
(*.f64 #s(literal 2 binary64) %45)
Outputs
%57 = (PI.f64 )
%145 = (+.f64 #s(literal 1/4 binary64) #s(literal 3/2 binary64))
%155 = (neg.f64 rho)
%157 = (neg.f64 n)
%160 = (+.f64 #s(literal -4 binary64) #s(literal 0 binary64))
%162 = (+.f64 #s(literal 16 binary64) #s(literal 16 binary64))
%164 = (+.f64 #s(literal 16 binary64) #s(literal 0 binary64))
%166 = (+.f64 #s(literal -16 binary64) #s(literal 0 binary64))
%168 = (+.f64 n n)
%170 = (-.f64 #s(literal -4 binary64) #s(literal 4 binary64))
%172 = (-.f64 #s(literal -8 binary64) #s(literal 8 binary64))
%177 = (*.f64 #s(literal 1/2 binary64) n)
%181 = (*.f64 #s(literal 8 binary64) #s(literal 4 binary64))
%183 = (*.f64 #s(literal 4 binary64) #s(literal 8 binary64))
%185 = (/.f64 #s(literal 2 binary64) n)
%187 = (/.f64 #s(literal 4 binary64) #s(literal -1/2 binary64))
%190 = (fabs.f64 #s(literal 0 binary64))
%194 = (+.f64 %57 %57)
%198 = (+.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64))
%200 = (+.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))
%202 = (-.f64 #s(literal 1/4 binary64) #s(literal -1/2 binary64))
%206 = (+.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))
%208 = (+.f64 #s(literal 1/8 binary64) #s(literal 1/4 binary64))
%211 = (-.f64 #s(literal -1 binary64) #s(literal -1 binary64))
%213 = (+.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
%215 = (+.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
%217 = (+.f64 rho0 rho0)
%219 = (+.f64 rho rho)
%222 = (-.f64 #s(literal 0 binary64) #s(literal 1/2 binary64))
%224 = (-.f64 #s(literal 0 binary64) #s(literal 2 binary64))
%226 = (-.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))
%228 = (-.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))
%230 = (-.f64 #s(literal 1 binary64) #s(literal 2 binary64))
%232 = (-.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))
%234 = (-.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
%238 = (+.f64 #s(literal 4 binary64) #s(literal 2 binary64))
%240 = (+.f64 #s(literal 2 binary64) #s(literal 4 binary64))
%242 = (-.f64 #s(literal 4 binary64) #s(literal 4 binary64))
%249 = (-.f64 #s(literal -2 binary64) #s(literal -2 binary64))
%256 = (*.f64 #s(literal -2 binary64) n)
%258 = (*.f64 #s(literal -1/2 binary64) n)
%260 = (/.f64 #s(literal -2 binary64) n)
%262 = (*.f64 #s(literal 1/2 binary64) %57)
%265 = (*.f64 #s(literal 1/2 binary64) rho0)
%267 = (*.f64 #s(literal 1/2 binary64) rho)
%270 = (*.f64 #s(literal -2 binary64) rho)
%272 = (*.f64 #s(literal -1/2 binary64) rho)
%274 = (*.f64 #s(literal 4 binary64) rho)
%288 = (/.f64 #s(literal 1 binary64) n)
%290 = (/.f64 #s(literal 1/2 binary64) n)
%296 = (/.f64 #s(literal 1/2 binary64) rho0)
%298 = (/.f64 #s(literal 1/2 binary64) rho)
%301 = (/.f64 #s(literal -2 binary64) rho0)
%303 = (/.f64 #s(literal -2 binary64) rho)
%306 = (/.f64 #s(literal -1/2 binary64) rho0)
%308 = (/.f64 #s(literal -1/2 binary64) rho)
%310 = (/.f64 #s(literal -1/2 binary64) n)
%312 = (/.f64 #s(literal 1 binary64) #s(literal 1/8 binary64))
%314 = (/.f64 #s(literal 1 binary64) rho0)
%316 = (/.f64 #s(literal 1 binary64) rho)
%318 = (/.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))
%320 = (/.f64 #s(literal 2 binary64) rho0)
%322 = (/.f64 #s(literal 2 binary64) rho)
%325 = (/.f64 #s(literal 4 binary64) n)
%327 = (/.f64 #s(literal -1 binary64) rho0)
%329 = (/.f64 #s(literal -1 binary64) rho)
%331 = (/.f64 #s(literal -1 binary64) n)
%333 = (/.f64 rho rho0)
%335 = (/.f64 #s(literal 1/4 binary64) #s(literal 1/8 binary64))
%337 = (/.f64 #s(literal 1/8 binary64) #s(literal -1 binary64))
%339 = (/.f64 #s(literal 1/8 binary64) #s(literal 2 binary64))
%341 = (/.f64 #s(literal 1/8 binary64) #s(literal 4 binary64))
%344 = (/.f64 #s(literal -1 binary64) #s(literal 1/4 binary64))
%346 = (/.f64 #s(literal -4 binary64) #s(literal -1/2 binary64))
%349 = (/.f64 #s(literal 1/8 binary64) #s(literal -1/2 binary64))
%357 = (/.f64 #s(literal 1/4 binary64) #s(literal -2 binary64))
%359 = (/.f64 #s(literal -2 binary64) #s(literal 1/4 binary64))
%372 = (sqrt.f64 #s(literal 1/2 binary64))
%373 = (sqrt.f64 #s(literal 2 binary64))
%376 = (*.f64 %157 #s(literal 0 binary64))
%378 = (*.f64 #s(literal 4 binary64) n)
%380 = (*.f64 n #s(literal 4 binary64))
%395 = (*.f64 #s(literal 1/8 binary64) #s(literal 1/8 binary64))
%397 = (*.f64 %157 #s(literal 4 binary64))
%399 = (*.f64 #s(literal 4 binary64) %157)
%401 = (fabs.f64 n)
%402 = (fabs.f64 %288)
%405 = (log.f64 rho)
%410 = (/.f64 #s(literal 2 binary64) %288)
%414 = (/.f64 #s(literal -1/2 binary64) #s(literal -8 binary64))
%416 = (/.f64 %219 rho0)
%418 = (/.f64 #s(literal 1/2 binary64) %219)
%420 = (/.f64 #s(literal 1/2 binary64) %168)
%422 = (/.f64 #s(literal -1/2 binary64) #s(literal 8 binary64))
%424 = (/.f64 #s(literal 1/4 binary64) #s(literal 8 binary64))
%430 = (/.f64 #s(literal 0 binary64) %217)
%433 = (/.f64 %157 #s(literal 1/2 binary64))
%440 = (*.f64 %296 rho)
%442 = (/.f64 #s(literal 1/2 binary64) %256)
%444 = (/.f64 #s(literal 1/2 binary64) %274)
%446 = (/.f64 #s(literal 1 binary64) %274)
%448 = (/.f64 #s(literal 2 binary64) %267)
%450 = (/.f64 #s(literal 2 binary64) %258)
%452 = (*.f64 %310 #s(literal 0 binary64))
%459 = (*.f64 n #s(literal 1/4 binary64))
%465 = (neg.f64 %405)
%468 = (*.f64 %168 n)
%469 = (*.f64 n n)
%471 = (*.f64 %177 #s(literal 8 binary64))
%473 = (*.f64 #s(literal 8 binary64) %177)
%475 = (/.f64 #s(literal 1/2 binary64) %322)
%477 = (/.f64 #s(literal 1/2 binary64) %185)
%480 = (/.f64 #s(literal 2 binary64) %308)
%483 = (/.f64 n #s(literal 4 binary64))
%485 = (/.f64 n #s(literal -2 binary64))
%489 = (*.f64 %177 #s(literal 1/2 binary64))
%491 = (*.f64 #s(literal 1/2 binary64) %177)
%493 = (*.f64 %177 n)
%495 = (sqrt.f64 rho)
%496 = (log.f64 %495)
%499 = (/.f64 %168 #s(literal 1/2 binary64))
%505 = (fabs.f64 %177)
%506 = (fabs.f64 %185)
%509 = (neg.f64 %496)
%511 = (*.f64 rho rho)
%512 = (log.f64 %511)
%515 = (*.f64 #s(literal -2 binary64) %405)
%523 = (/.f64 #s(literal 4 binary64) %185)
%525 = (/.f64 #s(literal 4 binary64) %288)
%530 = (*.f64 %288 #s(literal 1/4 binary64))
%534 = (*.f64 #s(literal 1/4 binary64) n)
%537 = (*.f64 #s(literal 1/4 binary64) %288)
%546 = (/.f64 rho0 rho)
%547 = (log.f64 %546)
%550 = (sqrt.f64 %401)
%551 = (sqrt.f64 %402)
%554 = (neg.f64 %469)
%555 = (*.f64 %177 %157)
%557 = (*.f64 %157 %177)
%569 = (/.f64 %177 %256)
%571 = (/.f64 %256 %177)
%574 = (/.f64 #s(literal 1 binary64) %469)
%580 = (/.f64 %185 #s(literal 8 binary64))
%582 = (/.f64 %288 #s(literal 4 binary64))
%585 = (/.f64 rho0 %219)
%586 = (/.f64 #s(literal 2 binary64) %585)
%590 = (/.f64 n #s(literal 8 binary64))
%594 = (/.f64 %168 #s(literal -1 binary64))
%600 = (*.f64 %157 #s(literal -2 binary64))
%607 = (/.f64 %177 #s(literal 1/4 binary64))
%609 = (/.f64 %256 #s(literal -1 binary64))
%611 = (/.f64 %177 #s(literal -1 binary64))
%613 = (/.f64 %177 #s(literal 2 binary64))
%616 = (/.f64 %177 #s(literal 4 binary64))
%618 = (/.f64 %177 #s(literal -1/2 binary64))
%626 = (*.f64 %469 #s(literal 1/4 binary64))
%637 = (/.f64 #s(literal 1/4 binary64) n)
%640 = (/.f64 #s(literal -1/2 binary64) %288)
%642 = (/.f64 #s(literal -1 binary64) %185)
%645 = (/.f64 #s(literal 1/4 binary64) %288)
%649 = (/.f64 #s(literal 1/4 binary64) %185)
%651 = (/.f64 #s(literal 1/8 binary64) %288)
%653 = (/.f64 #s(literal -1 binary64) %288)
%655 = (/.f64 n #s(literal 1/4 binary64))
%657 = (/.f64 %288 #s(literal -1/2 binary64))
%659 = (/.f64 %288 #s(literal 1/4 binary64))
%663 = (/.f64 %288 #s(literal -2 binary64))
%664 = (/.f64 n #s(literal -1/2 binary64))
%671 = (/.f64 #s(literal -2 binary64) %288)
%673 = (/.f64 #s(literal -2 binary64) %185)
%680 = (/.f64 #s(literal 1/8 binary64) n)
%686 = (*.f64 %509 #s(literal 0 binary64))
%688 = (*.f64 #s(literal 0 binary64) %515)
%692 = (/.f64 #s(literal 4 binary64) %177)
%695 = (*.f64 %177 #s(literal 1/4 binary64))
%697 = (-.f64 %177 %177)
%699 = (*.f64 #s(literal 1/4 binary64) %177)
%701 = (*.f64 %547 #s(literal 2 binary64))
%703 = (*.f64 %547 #s(literal 1/2 binary64))
%707 = (sqrt.f64 %505)
%708 = (sqrt.f64 %506)
%723 = (/.f64 %288 #s(literal 8 binary64))
%728 = (-.f64 %185 %185)
%731 = (/.f64 %177 #s(literal 8 binary64))
%735 = (/.f64 n %288)
%737 = (/.f64 %185 #s(literal 1/4 binary64))
%739 = (/.f64 %177 #s(literal -2 binary64))
%740 = (/.f64 %185 #s(literal -1/2 binary64))
%745 = (/.f64 #s(literal -2 binary64) %177)
%746 = (/.f64 #s(literal -1/2 binary64) %185)
%750 = (/.f64 #s(literal 1/8 binary64) %185)
%752 = (/.f64 #s(literal 1/8 binary64) %177)
%755 = (*.f64 %185 %185)
%758 = (/.f64 %177 %288)
%759 = (/.f64 %185 n)
%762 = (/.f64 %288 %177)
%763 = (/.f64 n %185)
%770 = (/.f64 %177 %185)
%771 = (/.f64 %185 %177)
%778 = (*.f64 %469 n)
%779 = (pow.f64 %288 #s(literal 3 binary64))
%782 = (pow.f64 #s(literal 1/4 binary64) #s(literal 3 binary64))
%783 = (pow.f64 #s(literal 4 binary64) #s(literal 3 binary64))
%785 = (pow.f64 #s(literal -2 binary64) #s(literal 3 binary64))
%786 = (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))
%789 = (/.f64 %547 n)
%790 = (exp.f64 %789)
%792 = (*.f64 %790 #s(literal 2795330461496381/281474976710656 binary64))
%793 = (atan.f64 %792)
%795 = (-.f64 %793 #s(literal 884279719003555/1125899906842624 binary64))
%798 = (pow.f64 %177 #s(literal 3 binary64))
%799 = (pow.f64 %185 #s(literal 3 binary64))
%802 = (fma.f64 %57 #s(literal -1/4 binary64) %793)
%806 = (fma.f64 %793 #s(literal 2 binary64) #s(literal -884279719003555/562949953421312 binary64))
%810 = (fma.f64 %793 #s(literal 1/2 binary64) #s(literal -884279719003555/2251799813685248 binary64))
%813 = (*.f64 %793 #s(literal 4 binary64))
%814 = (-.f64 %813 %57)
%817 = (*.f64 #s(literal -1/2 binary64) %57)
%818 = (fma.f64 %793 #s(literal 2 binary64) %817)
%820 = (*.f64 %57 #s(literal -1/8 binary64))
%821 = (fma.f64 %793 #s(literal 1/2 binary64) %820)
%824 = (fma.f64 %793 #s(literal -4 binary64) %57)
%825 = (*.f64 #s(literal -1/4 binary64) #s(literal 0 binary64))
%828 = (*.f64 #s(literal 0 binary64) %824)
%830 = (*.f64 %824 #s(literal -2 binary64))
%831 = (*.f64 #s(literal 1/8 binary64) #s(literal 0 binary64))
%833 = (*.f64 #s(literal 0 binary64) %830)
%836 = (neg.f64 rho0)
%849 = (*.f64 rho0 rho0)
%895 = (*.f64 #s(literal 1/4 binary64) rho0)
%897 = (*.f64 #s(literal 4 binary64) rho0)
%899 = (*.f64 #s(literal -1/2 binary64) rho0)
%902 = (*.f64 rho0 #s(literal 1/4 binary64))
%904 = (*.f64 rho0 #s(literal -2 binary64))
%906 = (*.f64 rho0 #s(literal 4 binary64))
%909 = (fabs.f64 %217)
%911 = (*.f64 %836 #s(literal 0 binary64))
%914 = (*.f64 #s(literal -2 binary64) rho0)
%918 = (*.f64 rho0 n)
%921 = (*.f64 n rho0)
%923 = (/.f64 rho0 #s(literal 1/2 binary64))
%925 = (/.f64 rho0 #s(literal 4 binary64))
%927 = (sqrt.f64 rho0)
%930 = (fabs.f64 %265)
%983 = (*.f64 %217 #s(literal 2 binary64))
%985 = (*.f64 %217 #s(literal 4 binary64))
%988 = (*.f64 %157 rho0)
%1027 = (neg.f64 %927)
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%5463 = (+.f64 %5461 %790)
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%5784 = (sinh.f64 %5783)
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%5786 = (fma.f64 %5427 %5782 %5785)
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%10744 = (fma.f64 %8442 %759 %9777)
%10745 = (fma.f64 %8442 %759 %9779)
%10746 = (fma.f64 %10182 %10183 %8399)
%10747 = (fma.f64 %10182 %10183 %8401)
%10748 = (fma.f64 %547 %9812 %9777)
%10749 = (fma.f64 %547 %9812 %9779)
%10750 = (fma.f64 %8515 %5203 %9777)
%10751 = (fma.f64 %8515 %5203 %9779)
%10752 = (fma.f64 %8444 %771 %9777)
%10753 = (fma.f64 %8444 %771 %9779)
%10754 = (fma.f64 %9863 %9864 %9777)
%10755 = (fma.f64 %9863 %9864 %9779)
%10756 = (fma.f64 %10182 %10183 %9777)
%10757 = (fma.f64 %10182 %10183 %9779)
%10758 = (fma.f64 %795 #s(literal 0 binary64) %789)
%10759 = (fma.f64 #s(literal 0 binary64) %795 %789)
%10760 = (fma.f64 #s(literal 0 binary64) %802 %789)
%10761 = (fma.f64 %802 #s(literal 0 binary64) %789)
%10762 = (fma.f64 %806 #s(literal 0 binary64) %789)
%10763 = (fma.f64 #s(literal 0 binary64) %806 %789)
%10764 = (fma.f64 #s(literal 0 binary64) %810 %789)
%10765 = (fma.f64 %810 #s(literal 0 binary64) %789)
%10766 = (fma.f64 #s(literal 0 binary64) %814 %789)
%10767 = (fma.f64 %814 #s(literal 0 binary64) %789)
%10768 = (fma.f64 #s(literal 0 binary64) %818 %789)
%10769 = (fma.f64 #s(literal 0 binary64) %821 %789)
%10770 = (fma.f64 %818 #s(literal 0 binary64) %789)
%10771 = (fma.f64 %824 %825 %789)
%10772 = (fma.f64 %821 #s(literal 0 binary64) %789)
%10773 = (fma.f64 %828 #s(literal -1/4 binary64) %789)
%10774 = (fma.f64 %830 %831 %789)
%10775 = (fma.f64 %833 #s(literal 1/8 binary64) %789)
%10776 = (log.f64 %5421)
%10777 = (+.f64 %10776 %10776)
%10877 = (*.f64 #s(literal -1/2 binary64) #s(literal 3/2 binary64))
%10879 = (*.f64 #s(literal 3/2 binary64) #s(literal -1/2 binary64))
%10886 = (/.f64 #s(literal 3/2 binary64) #s(literal -2 binary64))
%10898 = (/.f64 #s(literal -4 binary64) #s(literal 1/2 binary64))
%11052 = (*.f64 #s(literal 1/2 binary64) #s(literal -1/8 binary64))
%11055 = (*.f64 #s(literal 1/4 binary64) #s(literal -1/4 binary64))
%11058 = (*.f64 #s(literal 1/8 binary64) #s(literal -1/2 binary64))
%11061 = (*.f64 #s(literal -1/2 binary64) #s(literal 1/8 binary64))
%11082 = (/.f64 #s(literal 1/2 binary64) #s(literal -8 binary64))
%11085 = (/.f64 #s(literal 1/4 binary64) #s(literal -4 binary64))
%11106 = (/.f64 %168 %258)
%11134 = (/.f64 %258 #s(literal 2 binary64))
%11164 = (*.f64 %288 #s(literal -1/4 binary64))
%11167 = (*.f64 n #s(literal -1/4 binary64))
%11180 = (/.f64 %288 #s(literal -4 binary64))
%11185 = (/.f64 n #s(literal -4 binary64))
%11199 = (/.f64 %256 #s(literal 1/2 binary64))
%11242 = (*.f64 %177 #s(literal -1/4 binary64))
%11249 = (/.f64 %177 #s(literal -4 binary64))
%11336 = (*.f64 #s(literal 1/4 binary64) %405)
%11339 = (*.f64 #s(literal 4 binary64) %405)
%11344 = (*.f64 %405 #s(literal 1/4 binary64))
%11346 = (*.f64 %405 #s(literal 4 binary64))
%11400 = (*.f64 #s(literal 1/2 binary64) %496)
%11402 = (*.f64 %496 #s(literal 1/2 binary64))
%11476 = (*.f64 #s(literal -1/2 binary64) %509)
%11480 = (*.f64 #s(literal 1/8 binary64) %512)
%11482 = (*.f64 #s(literal 2 binary64) %512)
%11484 = (*.f64 %512 #s(literal 2 binary64))
%11486 = (*.f64 %512 #s(literal 4 binary64))
%11492 = (*.f64 %512 #s(literal -2 binary64))
%11495 = (*.f64 #s(literal -2 binary64) %512)
%11507 = (/.f64 %512 #s(literal -1/2 binary64))
%11515 = (/.f64 %512 #s(literal 8 binary64))
%11576 = (log.f64 %1256)
%11593 = (*.f64 %8409 %157)
%11610 = (log.f64 %1347)
%11622 = (*.f64 %8420 %157)
%11632 = (neg.f64 %8292)
%11719 = (*.f64 #s(literal -1 binary64) %8292)
%11723 = (*.f64 %8292 #s(literal -1 binary64))
%11731 = (*.f64 #s(literal 3/2 binary64) %496)
%11735 = (*.f64 %496 #s(literal 3/2 binary64))
%11766 = (*.f64 %509 #s(literal 1/2 binary64))
%12196 = (*.f64 %5783 #s(literal 0 binary64))
%12198 = (*.f64 #s(literal 0 binary64) %5783)
%12216 = (*.f64 #s(literal 1 binary64) %8292)
%12218 = (*.f64 %8292 #s(literal 1 binary64))
%12561 = (exp (/ (log (/ rho0 rho)) n))
%12562 = (approx %12561 %790)
%12565 = (-.f64 n %5338)
%12568 = (-.f64 %789 #s(literal -1 binary64))
%12569 = (-.f64 %5338 n)
%12571 = (-.f64 %5339 #s(literal 1 binary64))
%12598 = (-.f64 %789 #s(literal -1/2 binary64))
%12687 = (+.f64 #s(literal 0 binary64) %12598)
%12689 = (+.f64 #s(literal 1/4 binary64) %12598)
%12726 = (fma.f64 %547 %290 #s(literal 1/2 binary64))
%12728 = (fma.f64 %547 %185 #s(literal 2 binary64))
%12730 = (*.f64 %12565 #s(literal 2 binary64))
%12732 = (+.f64 #s(literal 1/2 binary64) %5423)
%12734 = (-.f64 %5423 #s(literal -1/2 binary64))
%12736 = (/.f64 %12565 %168)
%12738 = (*.f64 %12565 #s(literal 1/2 binary64))
%12740 = (*.f64 #s(literal 2 binary64) %12569)
%12742 = (*.f64 n %12565)
%12744 = (*.f64 %12565 #s(literal -2 binary64))
%12750 = (*.f64 %12569 #s(literal 2 binary64))
%12752 = (*.f64 %12569 #s(literal 1/2 binary64))
%12756 = (*.f64 #s(literal 1/2 binary64) %12565)
%12763 = (*.f64 %290 %12565)
%12765 = (*.f64 %185 %12565)
%12767 = (/.f64 %12565 %177)
%12769 = (*.f64 %325 %12565)
%12771 = (*.f64 %310 %12565)
%12779 = (*.f64 %12568 #s(literal -2 binary64))
%12781 = (*.f64 %12568 #s(literal 4 binary64))
%12783 = (*.f64 %12568 #s(literal 1/2 binary64))
%12785 = (*.f64 %12568 #s(literal 1/4 binary64))
%12787 = (*.f64 %12565 %290)
%12789 = (*.f64 %12565 #s(literal 1/4 binary64))
%12791 = (*.f64 %12565 %185)
%12795 = (*.f64 %12569 #s(literal -2 binary64))
%12798 = (*.f64 %12569 %185)
%12800 = (*.f64 %12569 %260)
%12802 = (/.f64 %12730 n)
%12805 = (/.f64 %12569 %256)
%12807 = (/.f64 %12569 %177)
%12811 = (fma.f64 %547 %260 #s(literal -2 binary64))
%12851 = (/.f64 %12565 #s(literal 1/2 binary64))
%12861 = (/.f64 %12569 #s(literal 2 binary64))
%12863 = (/.f64 %12569 #s(literal 1/2 binary64))
%12891 = (/.f64 %12568 #s(literal 2 binary64))
%12893 = (/.f64 %12568 #s(literal 1/2 binary64))
%12895 = (/.f64 %12568 #s(literal -2 binary64))
%12897 = (/.f64 %12568 #s(literal 1/4 binary64))
%12899 = (/.f64 %12568 #s(literal 4 binary64))
%12901 = (/.f64 %12568 n)
%12904 = (/.f64 %12565 #s(literal -2 binary64))
%12908 = (*.f64 n %12569)
%12998 = (+.f64 %1152 n)
%13090 = (-.f64 #s(literal 1 binary64) %5431)
%13093 = (-.f64 %5426 #s(literal -1 binary64))
%13095 = (-.f64 %5431 #s(literal 1 binary64))
%13103 = (/.f64 %12568 %157)
%13201 = (*.f64 %12730 %288)
%13228 = (/.f64 %12728 #s(literal 4 binary64))
%13230 = (/.f64 %12728 #s(literal 8 binary64))
%13251 = (*.f64 %12568 %288)
%13253 = (/.f64 %12730 #s(literal -1 binary64))
%13304 = (/.f64 %12565 #s(literal 1/4 binary64))
%13306 = (/.f64 %12565 #s(literal 4 binary64))
%13308 = (/.f64 %12565 #s(literal -1/2 binary64))
%13313 = (/.f64 %12569 #s(literal 1/4 binary64))
%13315 = (/.f64 %12569 #s(literal 4 binary64))
%13326 = (-.f64 n %405)
%13345 = (+.f64 %5426 #s(literal 0 binary64))
%13384 = (*.f64 %13326 %288)
%13390 = (*.f64 #s(literal 2 binary64) %12742)
%13434 = (*.f64 n %12742)
%13510 = (*.f64 %12568 %177)
%13523 = (*.f64 %12568 %185)
%13525 = (/.f64 %12568 %177)
%13530 = (+.f64 %8409 #s(literal -1/2 binary64))
%13533 = (+.f64 #s(literal -1/2 binary64) %8409)
%13535 = (-.f64 %8409 #s(literal 1/2 binary64))
%13582 = (fma.f64 %310 %405 #s(literal 1/2 binary64))
%13594 = (/.f64 %12565 %288)
%13596 = (/.f64 %12730 #s(literal 1/2 binary64))
%13598 = (/.f64 %12730 #s(literal 1/4 binary64))
%13600 = (/.f64 %12730 #s(literal 4 binary64))
%13647 = (+.f64 #s(literal 1/2 binary64) %8410)
%13649 = (-.f64 %8410 #s(literal -1/2 binary64))
%13667 = (-.f64 %8420 #s(literal 2 binary64))
%13707 = (/.f64 %12568 %185)
%13711 = (/.f64 %12569 %288)
%13729 = (/.f64 #s(literal 1 binary64) %468)
%13779 = (/.f64 %468 %468)
%13790 = (/.f64 #s(literal 1 binary64) %778)
%13876 = (/.f64 %12730 %185)
%13946 = (*.f64 %469 #s(literal 0 binary64))
%13956 = (/.f64 %12565 %185)
%13958 = (/.f64 %12730 %288)
%13961 = (/.f64 %12569 %185)
%14019 = (*.f64 %468 #s(literal 2 binary64))
%14022 = (*.f64 %468 #s(literal -2 binary64))
%14028 = (*.f64 %468 #s(literal 4 binary64))
%14078 = (*.f64 %12565 #s(literal 0 binary64))
%14080 = (*.f64 %12569 #s(literal 0 binary64))
%14082 = (*.f64 #s(literal 0 binary64) %12565)
%14084 = (*.f64 #s(literal 0 binary64) %12569)
%14100 = (*.f64 %778 #s(literal 2 binary64))
%14103 = (*.f64 %778 #s(literal -2 binary64))
%14109 = (*.f64 %778 #s(literal 4 binary64))
%14112 = (*.f64 %778 #s(literal 1/2 binary64))
%14157 = (*.f64 %554 #s(literal 0 binary64))
%14309 = (*.f64 %256 #s(literal -4 binary64))
%14326 = (*.f64 %469 #s(literal -4 binary64))
%14385 = (/.f64 %12730 %177)
%14502 = (*.f64 %12568 #s(literal 0 binary64))
%14504 = (*.f64 #s(literal 0 binary64) %12568)
%14539 = (*.f64 %554 #s(literal -4 binary64))
%14557 = (*.f64 %468 #s(literal 0 binary64))
%14560 = (*.f64 #s(literal 0 binary64) %468)
%14754 = (*.f64 #s(literal 1/2 binary64) %12568)
%14761 = (*.f64 %310 %12569)
%14770 = (*.f64 %12569 %310)
%14871 = (*.f64 %778 #s(literal 0 binary64))
%14874 = (*.f64 #s(literal 0 binary64) %778)
%15087 = (*.f64 %468 #s(literal -4 binary64))
%15130 = (*.f64 %778 #s(literal -4 binary64))
%15326 = (approx %12561 %12568)
%15343 = (*.f64 %5427 #s(literal 2795330461496381/281474976710656 binary64))
%15349 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %5427)
%15357 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %5468)
%15359 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %5467)
%15361 = (*.f64 %5468 #s(literal 2795330461496381/281474976710656 binary64))
%15363 = (*.f64 %5467 #s(literal 2795330461496381/281474976710656 binary64))
%15369 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %5842)
%15371 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %5857)
%15373 = (*.f64 %5842 #s(literal 2795330461496381/281474976710656 binary64))
%15375 = (*.f64 %5857 #s(literal 2795330461496381/281474976710656 binary64))
%15385 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %5865)
%15387 = (*.f64 #s(literal 2795330461496381/281474976710656 binary64) %5870)
%15389 = (*.f64 %5865 #s(literal 2795330461496381/281474976710656 binary64))
%15391 = (*.f64 %5870 #s(literal 2795330461496381/281474976710656 binary64))
%15401 = (neg.f64 %793)
%15407 = (*.f64 #s(literal -1 binary64) %793)
%15409 = (*.f64 %793 #s(literal 1/2 binary64))
%15411 = (*.f64 %793 #s(literal 1/4 binary64))
%15413 = (*.f64 #s(literal 1/4 binary64) %793)
%15416 = (*.f64 %793 #s(literal 2 binary64))
%15419 = (*.f64 #s(literal -1/2 binary64) %793)
%15422 = (*.f64 %793 #s(literal -2 binary64))
%15425 = (*.f64 %793 #s(literal -4 binary64))
%15429 = (*.f64 %793 #s(literal 8 binary64))
%15436 = (*.f64 %793 n)
%15439 = (*.f64 n %793)
%15441 = (/.f64 %793 #s(literal -4 binary64))
%15443 = (/.f64 %793 #s(literal 8 binary64))
%15445 = (*.f64 %15425 #s(literal 1/4 binary64))
%15447 = (*.f64 #s(literal -4 binary64) %15411)
%15453 = (*.f64 #s(literal 2 binary64) %15411)
%15455 = (*.f64 #s(literal 1 binary64) %15411)
%15457 = (*.f64 #s(literal 8 binary64) %15411)
%15459 = (*.f64 %813 #s(literal -2 binary64))
%15463 = (*.f64 %288 %793)
%15467 = (*.f64 %793 %288)
%15475 = (*.f64 %793 %177)
%15477 = (*.f64 %177 %793)
%15479 = (*.f64 %185 %793)
%15483 = (*.f64 %793 %185)
%15487 = (*.f64 %793 #s(literal 0 binary64))
%15489 = (*.f64 #s(literal 0 binary64) %793)
%15499 = (*.f64 %813 #s(literal 0 binary64))
%15501 = (*.f64 #s(literal 0 binary64) %813)
%15566 = (*.f64 #s(literal 1/8 binary64) %813)
%15633 = (approx (* %12561 2795330461496381/281474976710656) #s(literal 2795330461496381/281474976710656 binary64))
%15636 = (-.f64 #s(literal 884279719003555/1125899906842624 binary64) %793)
%15654 = (+.f64 #s(literal -884279719003555/1125899906842624 binary64) #s(literal 0 binary64))
%15658 = (+.f64 %793 #s(literal 0 binary64))
%15730 = (*.f64 #s(literal 1/4 binary64) #s(literal -884279719003555/1125899906842624 binary64))
%15737 = (*.f64 #s(literal -1/2 binary64) #s(literal -884279719003555/1125899906842624 binary64))
%15740 = (*.f64 #s(literal -884279719003555/1125899906842624 binary64) #s(literal 1/4 binary64))
%15752 = (fma.f64 %793 #s(literal 4 binary64) #s(literal -884279719003555/281474976710656 binary64))
%15754 = (fma.f64 %793 #s(literal -2 binary64) #s(literal 884279719003555/562949953421312 binary64))
%15763 = (*.f64 #s(literal 1/4 binary64) %795)
%15765 = (*.f64 %15636 #s(literal 1/2 binary64))
%15767 = (*.f64 #s(literal -1/2 binary64) %795)
%15770 = (*.f64 %795 #s(literal 1/4 binary64))
%15780 = (*.f64 %795 n)
%15782 = (*.f64 n %795)
%15784 = (/.f64 %795 #s(literal 4 binary64))
%15786 = (/.f64 %15636 #s(literal 4 binary64))
%15794 = (fma.f64 %793 #s(literal 2 binary64) #s(literal -884279719003555/1125899906842624 binary64))
%15825 = (*.f64 %15794 #s(literal 1/2 binary64))
%15827 = (*.f64 #s(literal 1/2 binary64) %15794)
%15867 = (*.f64 #s(literal 1/8 binary64) %806)
%15869 = (*.f64 #s(literal 1/2 binary64) %810)
%15871 = (*.f64 %806 #s(literal 4 binary64))
%15873 = (*.f64 %810 #s(literal 1/2 binary64))
%15880 = (/.f64 %15794 #s(literal 2 binary64))
%15926 = (*.f64 %806 #s(literal -2 binary64))
%15930 = (*.f64 #s(literal -2 binary64) %806)
%15932 = (*.f64 #s(literal 4 binary64) %806)
%15934 = (*.f64 %288 #s(literal -884279719003555/1125899906842624 binary64))
%15937 = (*.f64 n #s(literal -884279719003555/1125899906842624 binary64))
%15940 = (*.f64 #s(literal -884279719003555/1125899906842624 binary64) n)
%15942 = (*.f64 #s(literal -884279719003555/1125899906842624 binary64) %288)
%15946 = (/.f64 %15752 #s(literal 1/2 binary64))
%15948 = (/.f64 %806 #s(literal 8 binary64))
%15950 = (/.f64 %810 #s(literal 2 binary64))
%15952 = (/.f64 %810 #s(literal 4 binary64))
%15954 = (*.f64 %288 %795)
%15958 = (*.f64 %795 %288)
%16000 = (*.f64 %806 n)
%16002 = (*.f64 n %806)
%16025 = (*.f64 %806 %177)
%16027 = (*.f64 %177 %806)
%16029 = (*.f64 %185 #s(literal -884279719003555/1125899906842624 binary64))
%16032 = (*.f64 %177 #s(literal -884279719003555/1125899906842624 binary64))
%16035 = (*.f64 #s(literal -884279719003555/1125899906842624 binary64) %177)
%16037 = (*.f64 #s(literal -884279719003555/1125899906842624 binary64) %185)
%16048 = (*.f64 %795 %177)
%16050 = (*.f64 %177 %795)
%16052 = (*.f64 %185 %795)
%16056 = (*.f64 %795 %185)
%16060 = (*.f64 %806 %157)
%16062 = (*.f64 %157 %806)
%16098 = (-.f64 %793 #s(literal 884279719003555/562949953421312 binary64))
%16099 = (*.f64 %16098 #s(literal 1/2 binary64))
%16101 = (*.f64 #s(literal 1/2 binary64) %16098)
%16113 = (/.f64 %16098 #s(literal 2 binary64))
%16118 = (-.f64 #s(literal 884279719003555/562949953421312 binary64) %793)
%16160 = (*.f64 #s(literal 1/8 binary64) %795)
%16164 = (*.f64 #s(literal 3/2 binary64) %810)
%16167 = (*.f64 %810 #s(literal 3/2 binary64))
%16230 = (*.f64 #s(literal -1/2 binary64) %15636)
%16232 = (*.f64 #s(literal -4 binary64) %15636)
%16234 = (*.f64 %15636 #s(literal 4 binary64))
%16238 = (*.f64 %15636 #s(literal -1/2 binary64))
%16306 = (*.f64 %15794 #s(literal 1 binary64))
%16333 = (*.f64 #s(literal 1/8 binary64) %15752)
%16336 = (*.f64 #s(literal 2 binary64) %15752)
%16450 = (*.f64 %288 %806)
%16454 = (*.f64 %806 %288)
%16498 = (*.f64 %185 %806)
%16502 = (*.f64 %806 %185)
%16549 = (*.f64 %16098 #s(literal 1 binary64))
%16557 = (-.f64 #s(literal 0 binary64) %15636)
%16594 = (*.f64 %795 #s(literal 3/2 binary64))
%16596 = (*.f64 #s(literal 3/2 binary64) %795)
%16655 = (*.f64 %810 #s(literal 3 binary64))
%16657 = (*.f64 #s(literal 3 binary64) %810)
%16774 = (fma.f64 %795 #s(literal 1/2 binary64) %795)
%16776 = (-.f64 %810 %15636)
%16804 = (*.f64 %12562 #s(literal 2795330461496381/281474976710656 binary64))
%16805 = (atan.f64 %16804)
%16806 = (-.f64 %16805 %5944)
%16808 = (*.f64 %15326 #s(literal 2795330461496381/281474976710656 binary64))
%16809 = (atan.f64 %16808)
%16810 = (-.f64 %16809 %5944)
%16812 = (atan.f64 %15633)
%16813 = (-.f64 %16812 %5944)
#s(literal 2 binary64)
(fabs.f64 #s(literal 2 binary64))
(fabs.f64 #s(literal -2 binary64))
(neg.f64 #s(literal -2 binary64))
(sqrt.f64 #s(literal 4 binary64))
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) #s(literal 2 binary64))
(+.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))
(+.f64 #s(literal 3/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 2 binary64) #s(literal 0 binary64))
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) #s(literal -2 binary64))
(-.f64 #s(literal 3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 3/2 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64))
(*.f64 #s(literal 4 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) #s(literal -2 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 4 binary64))
(*.f64 #s(literal 1/4 binary64) #s(literal 8 binary64))
(*.f64 #s(literal -4 binary64) #s(literal -1/2 binary64))
(*.f64 #s(literal 16 binary64) #s(literal 1/8 binary64))
(*.f64 #s(literal 1/8 binary64) #s(literal 16 binary64))
(*.f64 #s(literal -2 binary64) #s(literal -1 binary64))
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%16804
%16805
%16806
(*.f64 #s(literal 2 binary64) %16806)
%16808
%16809
%16810
(*.f64 #s(literal 2 binary64) %16810)
%16812
%16813
(*.f64 #s(literal 2 binary64) %16813)

reconstruct2.5s (1.7%)

Memory
20.2MiB live, 257.7MiB allocated; 93ms collecting garbage

eval12.7s (8.4%)

Memory
65.5MiB live, 945.0MiB allocated; 381ms collecting garbage
Compiler

Compiled 610 796 to 131 838 computations (78.4% saved)

end0.0ms (0.0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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