Maksimov and Kolovsky, Equation (3)

Time bar (total: 22.0s)

analyze3.4s (15.5%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
37.5%37.4%62.4%0.1%0%0%0%6
37.5%37.4%62.4%0.1%0%0%0%7
43.8%43.7%56.2%0.1%0%0%0%8
43.8%43.7%56.2%0.1%0%0%0%9
43.8%43.7%56.2%0.1%0%0%0%10
46.9%46.8%53%0.1%0%0%0%11
46.9%46.8%53%0.1%0%0%0%12
Compiler

Compiled 28 to 23 computations (17.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.2s
Operation ival-cos, time spent: 2.8s, 90.0% of total-time
Operation ival-div, time spent: 131.0ms, 4.0% of total-time
Operation ival-mult, time spent: 100.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 27.0ms, 1.0% of total-time
Operation ival-pow, time spent: 25.0ms, 1.0% of total-time
Operation ival-add, time spent: 13.0ms, 0.0% of total-time
Operation const, time spent: 10.0ms, 0.0% of total-time

sample3.6s (16.2%)

Results
3.0s8250×256valid
1.0ms5×256infinite
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
Operation ival-mult, time spent: 716.0ms, 35.0% of total-time
Operation ival-cos, time spent: 542.0ms, 26.0% of total-time
Operation ival-div, time spent: 463.0ms, 22.0% of total-time
Operation ival-sqrt, time spent: 153.0ms, 7.0% of total-time
Operation ival-pow, time spent: 112.0ms, 5.0% of total-time
Operation ival-add, time spent: 50.0ms, 2.0% of total-time
Operation const, time spent: 39.0ms, 2.0% of total-time
Bogosity

preprocess651.0ms (3%)

Algorithm
1×egg-herbie
Rules
499×distribute-lft-neg-in
475×fma-neg
405×distribute-rgt-neg-in
340×unsub-neg
306×neg-mul-1
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
440-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
350-0-(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
00-0-(*.f64 #s(literal -2 binary64) J)
00-0-#s(literal -2 binary64)
00-0-#s(literal 2 binary64)
00-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
00-0-J
073(1.1086174350973493e-49 7.943233469115231e-221 4.318952373051433e-144)0-(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
00-0-(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))
00-0-U
00-0-(*.f64 #s(literal 2 binary64) J)
0129(3.015190295622762e-142 1.5707616958517052e+299 1.0086036061139841e+82)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-K
00-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082992
1202858
2657858
32308858
44451858
57260858
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 U) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 U) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) K) (cos.f64 (/.f64 J #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) K) (cos.f64 (/.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J (*.f64 (*.f64 #s(literal 2 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 U #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 K (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 U #s(literal 2 binary64))))) #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 J)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 U) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 J)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 (neg.f64 K) #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 J)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (neg.f64 U) (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 J)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (neg.f64 J)))) #s(literal 2 binary64))))))
(*.f64 (*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(*.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) K) (cos.f64 (/.f64 J #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) K) (cos.f64 (/.f64 J #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) K) (cos.f64 (/.f64 J #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 J #s(literal 2 binary64))) (*.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 K (cos.f64 (/.f64 J #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 U (*.f64 K (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 J #s(literal 2 binary64))))))))
(*.f64 (cos.f64 (/.f64 J #s(literal 2 binary64))) (*.f64 K (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 K (cos.f64 (/.f64 J #s(literal 2 binary64)))))))))
(*.f64 (cos.f64 (/.f64 J #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) K) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 K (cos.f64 (/.f64 J #s(literal 2 binary64))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J (*.f64 (*.f64 #s(literal 2 binary64) U) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(literal -2 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) U))) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal -2 binary64) U) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) U))))))
(*.f64 #s(literal -2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 J U) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) U)))
(*.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal -2 binary64) U)) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 J (*.f64 #s(literal 2 binary64) U)) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 U #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 K (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 U #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 U #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 K (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (/.f64 U #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 U #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 K (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (/.f64 U #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (*.f64 (cos.f64 (/.f64 U #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 K (*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 U #s(literal 2 binary64))))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 U #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 K (*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 U #s(literal 1/2 binary64)))))))))
Symmetry

(abs K)

(abs U)

(negabs J)

Results
401.0ms511×256valid
1.0ms1×256valid
Compiler

Compiled 255 to 194 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 311.0ms
Operation ival-cos, time spent: 130.0ms, 42.0% of total-time
Operation ival-mult, time spent: 75.0ms, 24.0% of total-time
Operation ival-div, time spent: 57.0ms, 18.0% of total-time
Operation ival-pow, time spent: 21.0ms, 7.0% of total-time
Operation ival-add, time spent: 10.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 3.0% of total-time
Operation const, time spent: 9.0ms, 3.0% of total-time

eval5.0ms (0%)

Compiler

Compiled 90 to 70 computations (22.2% saved)

prune3.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶70.8%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶87.0%
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
▶87.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
Compiler

Compiled 75 to 60 computations (20% saved)

localize630.0ms (2.9%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓99.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓99.7%
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
✓87.1%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
✓83.9%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
✓99.8%
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓99.8%
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓87.1%
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
✓99.9%
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
✓99.9%
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
✓99.8%
(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓87.1%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
Results
498.0ms255×256valid
1.0ms1×256valid
Compiler

Compiled 282 to 208 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 451.0ms
Operation ival-cos, time spent: 150.0ms, 33.0% of total-time
Operation ival-mult, time spent: 108.0ms, 24.0% of total-time
Operation ival-div, time spent: 100.0ms, 22.0% of total-time
Operation composed, time spent: 44.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 16.0ms, 4.0% of total-time
Operation ival-add, time spent: 12.0ms, 3.0% of total-time
Operation ival-pow, time spent: 11.0ms, 2.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time

series96.0ms (0.4%)

Counts
11 → 360
Calls
Call 1
Inputs
#<alt (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))>
#<alt (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))>
#<alt (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))>
#<alt (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))>
#<alt (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))>
#<alt (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) (*.f64 #s(literal -1 binary64) U))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/12288 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 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#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 K #s(literal 2 binary64)) (pow.f64 U #s(literal 2 binary64))) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/192 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) J)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/4 binary64) (*.f64 J (pow.f64 K #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 J (pow.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) J))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) J) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) J) (*.f64 #s(literal 1/23040 binary64) (*.f64 J (pow.f64 K #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
Calls

90 calls:

TimeVariablePointExpression
5.0ms
K
@0
(* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
5.0ms
J
@0
(* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
4.0ms
K
@0
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
4.0ms
K
@inf
(* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
4.0ms
K
@-inf
(* (* -2 (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))

rewrite357.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
383×log1p-expm1-u
274×associate-*r*
232×expm1-log1p-u
230×add-exp-log
230×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037548
1632548
27902548
Stop Event
1×node limit
Counts
11 → 418
Calls
Call 1
Inputs
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
(cbrt.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(log1p.f64 (expm1.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(exp.f64 (log.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))
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(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal 1/2 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal -1/2 binary64))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify426.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
702×fma-define
570×associate-*r/
414×associate-*l/
365×*-commutative
310×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0105557561
1324552898
Stop Event
1×node limit
Counts
778 → 609
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) U)
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) (*.f64 #s(literal -1 binary64) U))
(+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/12288 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 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U
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J
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(/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 U (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U)))))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U)))))
(/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U)))))
(/.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U)))))
(/.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U))))
(/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(/.f64 (pow.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) #s(literal 2 binary64)) (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (neg.f64 U) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (neg.f64 U) (neg.f64 U)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 U #s(literal -1/2 binary64))) (*.f64 (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 U (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 U (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U (neg.f64 U)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) U) (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 U)) (*.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (*.f64 (neg.f64 U) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U)))))
(/.f64 (*.f64 (neg.f64 U) U) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U (*.f64 U #s(literal 1/2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U (*.f64 U #s(literal -1/2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) U) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 U #s(literal -1/2 binary64))) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (/.f64 #s(literal 2 binary64) U)))))
(/.f64 (*.f64 (*.f64 U #s(literal -1/2 binary64)) U) (*.f64 (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(/.f64 (*.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 U #s(literal 1/2 binary64))) (*.f64 (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U #s(literal -1/2 binary64))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal 1/2 binary64))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (neg.f64 U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 U #s(literal -1/2 binary64))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 U (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 U (/.f64 #s(literal 1/2 binary64) J)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (neg.f64 U) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(/.f64 (*.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 U #s(literal -1/2 binary64)) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 2 binary64))
(neg.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) (*.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (neg.f64 U))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (neg.f64 U))
(+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))))))
(fma.f64 #s(literal -1 binary64) U (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))))
(fma.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U))) (neg.f64 U))
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U
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J
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(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(neg.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal -8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) #s(literal -8 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 3 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))

eval545.0ms (2.5%)

Compiler

Compiled 22870 to 17993 computations (21.3% saved)

prune122.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New59613609
Fresh000
Picked213
Done000
Total59814612
Accuracy
100.0%
Counts
612 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.3%
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (neg.f64 U))
24.2%
(pow.f64 (sqrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
▶84.9%
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
51.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
34.6%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
▶24.2%
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)))
84.6%
(*.f64 J (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
▶30.5%
(*.f64 J (/.f64 (neg.f64 U) J))
11.3%
(*.f64 J (/.f64 U J))
✓87.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
72.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
51.3%
(*.f64 J (log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
41.1%
(neg.f64 U)
▶13.5%
U
Compiler

Compiled 492 to 391 computations (20.5% saved)

localize859.0ms (3.9%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓99.8%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))
✓99.5%
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓97.8%
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)))
✓97.8%
(sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
✓99.9%
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
✓99.9%
(pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
✓98.1%
(/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U)
✓92.8%
(*.f64 J (/.f64 (neg.f64 U) J))
✓99.8%
(cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
✓99.7%
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
✓99.5%
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
✓97.8%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
Results
445.0ms186×256invalid
231.0ms69×256valid
5.0ms1×256invalid
Compiler

Compiled 349 to 252 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 663.0ms
Operation ival-cos, time spent: 204.0ms, 31.0% of total-time
Operation ival-mult, time spent: 198.0ms, 30.0% of total-time
Operation composed, time spent: 93.0ms, 14.0% of total-time
Operation ival-div, time spent: 75.0ms, 11.0% of total-time
Operation ival-sqrt, time spent: 31.0ms, 5.0% of total-time
Operation ival-pow, time spent: 21.0ms, 3.0% of total-time
Operation ival-add, time spent: 18.0ms, 3.0% of total-time
Operation const, time spent: 12.0ms, 2.0% of total-time
Operation ival-neg, time spent: 6.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 4.0ms, 1.0% of total-time

series290.0ms (1.3%)

Counts
12 → 376
Calls
Call 1
Inputs
#<alt (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))>
#<alt (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))>
#<alt (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 J (/.f64 (neg.f64 U) J))>
#<alt (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U)>
#<alt (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))>
#<alt (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))>
#<alt (*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)))>
#<alt (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) (*.f64 #s(literal -1 binary64) U))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 U (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) J))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) U)) J)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) U)))) J)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) U)))) J)>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))))>
Calls

99 calls:

TimeVariablePointExpression
84.0ms
K
@inf
(cbrt (* J (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))))
31.0ms
K
@-inf
(sqrt (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2)))))))))
24.0ms
K
@-inf
(cbrt (* J (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))))
13.0ms
K
@inf
(pow (cbrt (* J (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2)))))))))) 3)
12.0ms
K
@0
(cbrt (* J (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))))

rewrite263.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
898×log1p-expm1-u
230×associate-*r*
203×expm1-log1p-u
200×add-cube-cbrt
200×prod-diff
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037650
1559646
26370646
Stop Event
1×node limit
Counts
12 → 321
Calls
Call 1
Inputs
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 J (/.f64 (neg.f64 U) J))
(/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U)
(pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)))
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) J))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
(/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 U (/.f64 #s(literal -1/2 binary64) J)) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) J) U) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 1 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) U))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
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(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)))

simplify1.0s (4.7%)

Algorithm
1×egg-herbie
Rules
828×distribute-lft-in
734×*-commutative
486×times-frac
313×+-commutative
296×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0173771214
1563167404
Stop Event
1×node limit
Counts
697 → 766
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) U)
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) (*.f64 #s(literal -1 binary64) U))
(+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/12288 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/192 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 #s(literal -1 binary64) U)
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(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) (*.f64 #s(literal -1 binary64) U))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (neg.f64 U))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U)) U)
(+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))))))
(fma.f64 #s(literal -1 binary64) U (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))))
(-.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))))))) U)
(+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))))))
(fma.f64 #s(literal -1 binary64) U (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))))))
(-.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -4 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))))) U)
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 U #s(literal 2 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (*.f64 #s(literal 1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))))
(*.f64 J (fma.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (fma.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 J (neg.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 J (neg.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -1/64 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 J (neg.f64 (fma.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/512 binary64) (/.f64 (pow.f64 U #s(literal 6 binary64)) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal -2 binary64) J))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))
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(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))

eval1.3s (5.8%)

Compiler

Compiled 41156 to 33360 computations (18.9% saved)

prune179.0ms (0.8%)

Pruning

23 alts after pruning (19 fresh and 4 done)

PrunedKeptTotal
New80011811
Fresh088
Picked235
Done011
Total80223825
Accuracy
100.0%
Counts
825 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓38.3%
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (neg.f64 U))
38.2%
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U) (neg.f64 U))
24.2%
(pow.f64 (sqrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
50.0%
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))
▶30.6%
(/.f64 (*.f64 U J) (neg.f64 J))
11.8%
(/.f64 (*.f64 J U) J)
11.3%
(/.f64 J (/.f64 J U))
11.8%
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
11.8%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
▶86.5%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J)) (sqrt.f64 J))
51.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
34.6%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
▶34.4%
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))))
17.3%
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))
84.6%
(*.f64 J (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
✓30.5%
(*.f64 J (/.f64 (neg.f64 U) J))
11.3%
(*.f64 J (/.f64 U J))
✓87.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
72.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
51.3%
(*.f64 J (log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
▶39.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))
▶41.1%
(neg.f64 U)
✓13.5%
U
Compiler

Compiled 660 to 515 computations (22% saved)

localize692.0ms (3.2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
99.8%
(pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))
✓92.6%
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))))
✓77.4%
(/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))
✓98.4%
(cbrt.f64 #s(literal -2 binary64))
✓78.9%
(/.f64 (*.f64 U J) (neg.f64 J))
✓99.9%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
✓99.8%
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓94.0%
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J))
✓92.7%
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J)) (sqrt.f64 J))
Results
519.0ms255×256valid
1.0ms1×256valid
Compiler

Compiled 258 to 185 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 430.0ms
Operation ival-cos, time spent: 125.0ms, 29.0% of total-time
Operation ival-mult, time spent: 123.0ms, 29.0% of total-time
Operation composed, time spent: 48.0ms, 11.0% of total-time
Operation ival-pow, time spent: 46.0ms, 11.0% of total-time
Operation ival-div, time spent: 38.0ms, 9.0% of total-time
Operation ival-add, time spent: 15.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 13.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 10.0ms, 2.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time
Operation ival-neg, time spent: 2.0ms, 0.0% of total-time

series65.0ms (0.3%)

Counts
8 → 240
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J)) (sqrt.f64 J))>
#<alt (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J))>
#<alt (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))>
#<alt (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))>
#<alt (/.f64 (*.f64 U J) (neg.f64 J))>
#<alt (cbrt.f64 #s(literal -2 binary64))>
#<alt (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))>
#<alt (*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))))>
Outputs
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (+.f64 (*.f64 #s(literal 1/12288 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/1440 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/192 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 U (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 U (-.f64 (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64)))>
#<alt U>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U)) (*.f64 #s(literal -1 binary64) U))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) U) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))))))>
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#<alt (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 U (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 U #s(literal 2 binary64)))) #s(literal 1 binary64)))>
Calls

60 calls:

TimeVariablePointExpression
9.0ms
J
@-inf
(* (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2)))))))) (sqrt J))
4.0ms
K
@0
(* (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2)))))))) (sqrt J))
4.0ms
U
@-inf
(* (* (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2)))))))) (sqrt J)) (sqrt J))
2.0ms
J
@inf
(* (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2)))))))) (sqrt J))
2.0ms
J
@0
(* (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (/ (/ (* U 1/2) J) (cos (* K 1/2))) (/ (/ (* U 1/2) J) (cos (* K 1/2)))))))) (sqrt J))

rewrite115.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
290×associate-*r*
260×log1p-expm1-u
260×expm1-log1p-u
257×add-cube-cbrt
255×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039413
1622403
Stop Event
1×node limit
Counts
8 → 246
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J)) (sqrt.f64 J))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J))
(/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 U J) (neg.f64 J))
(cbrt.f64 #s(literal -2 binary64))
(/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) J))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3/2 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J)))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))))
(exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 J (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 J)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3/2 binary64)) (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 #s(literal -2 binary64) (sqrt.f64 J))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 U (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 U J)))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 (/.f64 U #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 U J) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 U J))
(*.f64 (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal 2 binary64))) (/.f64 U (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (/.f64 U (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 (/.f64 U (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 (/.f64 U (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) U)) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) U)) J))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) U)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) U)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) U)) #s(literal 2 binary64)) J) (/.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) U)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
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(/.f64 (+.f64 (pow.f64 (neg.f64 U) #s(literal 3 binary64)) (pow.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (neg.f64 U) (neg.f64 U)) (-.f64 (*.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))) (*.f64 (neg.f64 U) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 U #s(literal -1 binary64)) (*.f64 U #s(literal -1 binary64))) (*.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))) (-.f64 (*.f64 U #s(literal -1 binary64)) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 U) (neg.f64 U)) (*.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))) (-.f64 (neg.f64 U) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (*.f64 U (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (*.f64 U (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)) #s(literal 3 binary64))) U) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) U) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
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(exp.f64 (log.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
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(fma.f64 U #s(literal -1 binary64) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) U (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))

simplify348.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
857×fma-define
455×times-frac
452×*-commutative
411×distribute-rgt-in
411×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0119737175
1360134727
Stop Event
1×node limit
Counts
486 → 602
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
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(*.f64 #s(literal -1 binary64) U)
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U
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(-.f64 (exp.f64 (log1p.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 U #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 U #s(literal -1 binary64)) (*.f64 U #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))) (*.f64 (*.f64 U #s(literal -1 binary64)) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 U) #s(literal 3 binary64)) (pow.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (neg.f64 U) (neg.f64 U)) (-.f64 (*.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))) (*.f64 (neg.f64 U) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 U #s(literal -1 binary64)) (*.f64 U #s(literal -1 binary64))) (*.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))) (-.f64 (*.f64 U #s(literal -1 binary64)) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 U) (neg.f64 U)) (*.f64 (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))) (-.f64 (neg.f64 U) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (*.f64 U (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (*.f64 U (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)) #s(literal 3 binary64))) U) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))) U) (-.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) U))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 U #s(literal -1 binary64) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) U (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))
(*.f64 #s(literal -2 binary64) (+.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))
(*.f64 #s(literal -2 binary64) (fma.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (fma.f64 (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))) (+.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 J (-.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))) (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #s(literal 4 binary64)) (*.f64 (pow.f64 J #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))))))
(fma.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (*.f64 (pow.f64 K #s(literal 2 binary64)) (fma.f64 #s(literal -1/256 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) J) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (fma.f64 #s(literal 1/384 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 J (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (-.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) #s(literal -1/24 binary64))) (/.f64 (*.f64 #s(literal 1/1024 binary64) (pow.f64 U #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))) (pow.f64 J #s(literal 4 binary64))))))))))) (fma.f64 #s(literal -1/8 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) J)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))
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U
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(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal 2 binary64))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) U))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))))))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64)))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64))))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 U (fma.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 U (fma.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 U (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (pow.f64 U #s(literal -2 binary64))) #s(literal -1 binary64)))
(fma.f64 U #s(literal -1 binary64) (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(*.f64 U (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal -2 binary64)) U)) #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) U (*.f64 U (pow.f64 (/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sqrt.f64 #s(literal -2 binary64))) U) #s(literal 2 binary64))))
(*.f64 U (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (sqrt.f64 #s(literal -2 binary64)) U)) #s(literal 2 binary64))))

eval993.0ms (4.5%)

Compiler

Compiled 23863 to 18062 computations (24.3% saved)

prune220.0ms (1%)

Pruning

23 alts after pruning (17 fresh and 6 done)

PrunedKeptTotal
New6615666
Fresh21214
Picked235
Done134
Total66623689
Accuracy
100.0%
Counts
689 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.2%
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U) (neg.f64 U))
24.6%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))) #s(literal 2 binary64))
50.0%
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))
✓30.6%
(/.f64 (*.f64 U J) (neg.f64 J))
11.8%
(/.f64 (*.f64 J U) J)
11.3%
(/.f64 J (/.f64 J U))
11.8%
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
▶11.8%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
50.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 J))
▶44.4%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
51.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
34.6%
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
38.2%
(*.f64 U (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) U) (/.f64 #s(literal -2 binary64) U))))
▶17.3%
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))
✓30.5%
(*.f64 J (/.f64 (neg.f64 U) J))
▶11.3%
(*.f64 J (/.f64 U J))
✓87.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
▶72.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
11.3%
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
51.3%
(*.f64 J (log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
✓39.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))
✓41.1%
(neg.f64 U)
✓13.5%
U
Compiler

Compiled 592 to 458 computations (22.6% saved)

localize668.0ms (3%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
✓99.8%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64))
✓97.8%
(sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
✓97.8%
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))
✓99.9%
(pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
✓97.8%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
✓95.2%
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))))
✓95.9%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
✓92.8%
(*.f64 J (/.f64 U J))
✓100.0%
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J)))
✓97.8%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
Results
341.0ms186×256invalid
192.0ms69×256valid
1.0ms1×256invalid
Compiler

Compiled 251 to 177 computations (29.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 511.0ms
Operation ival-mult, time spent: 181.0ms, 35.0% of total-time
Operation composed, time spent: 128.0ms, 25.0% of total-time
Operation ival-cos, time spent: 72.0ms, 14.0% of total-time
Operation ival-div, time spent: 56.0ms, 11.0% of total-time
Operation ival-sqrt, time spent: 25.0ms, 5.0% of total-time
Operation ival-add, time spent: 22.0ms, 4.0% of total-time
Operation ival-pow, time spent: 17.0ms, 3.0% of total-time
Operation const, time spent: 10.0ms, 2.0% of total-time

series101.0ms (0.5%)

Counts
11 → 336
Calls
Call 1
Inputs
#<alt (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J)))>
#<alt (*.f64 J (/.f64 U J))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))>
#<alt (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))>
#<alt (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))>
#<alt (*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64))>
#<alt (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 3 binary64)))))))>
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#<alt (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
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#<alt (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 3 binary64))))))) J)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 3 binary64))))))))) J)>
#<alt (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64)))))))>
Calls

84 calls:

TimeVariablePointExpression
19.0ms
K
@inf
(sqrt (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))))
5.0ms
U
@0
(sqrt (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))))
3.0ms
K
@0
(* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U 2) J) (/ (/ U 2) J))))))
3.0ms
U
@inf
(sqrt (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))))
3.0ms
J
@0
(sqrt (* (* -2 (cos (* K 1/2))) (sqrt (+ (* 1 1) (* (/ (* U 1/2) J) (/ (* U 1/2) J))))))

rewrite228.0ms (1%)

Algorithm
1×batch-egg-rewrite
Rules
968×prod-diff
249×associate-*r*
209×log1p-expm1-u
209×expm1-log1p-u
206×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042456
1716456
26435456
Stop Event
1×node limit
Counts
11 → 272
Calls
Call 1
Inputs
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J)))
(*.f64 J (/.f64 U J))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64))
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))
(sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(exp.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 J (/.f64 U J)))) #s(literal 1 binary64))
(/.f64 J (/.f64 J U))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(/.f64 (*.f64 J U) J)
(/.f64 (neg.f64 (*.f64 J U)) (neg.f64 J))
(/.f64 (/.f64 (*.f64 J U) (sqrt.f64 J)) (sqrt.f64 J))
(/.f64 (*.f64 J (neg.f64 U)) (neg.f64 J))
(/.f64 (*.f64 (*.f64 J U) #s(literal -1 binary64)) (neg.f64 J))
(/.f64 (*.f64 (neg.f64 U) J) (neg.f64 J))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 J U)) (neg.f64 J))
(/.f64 (/.f64 (*.f64 J U) #s(literal 1 binary64)) J)
(/.f64 (/.f64 (*.f64 J U) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (cbrt.f64 J))
(pow.f64 (*.f64 J (/.f64 U J)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 J (/.f64 U J))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 J (/.f64 U J)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 J (/.f64 U J))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 J (/.f64 U J)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 U J)) J))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (/.f64 U J)))))
(cbrt.f64 (pow.f64 (*.f64 J (/.f64 U J)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (/.f64 U J) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 3 binary64)) (pow.f64 (*.f64 J U) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J U) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 J U) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 J (/.f64 U J))))
(log1p.f64 (expm1.f64 (*.f64 J (/.f64 U J))))
(exp.f64 (log.f64 (*.f64 J (/.f64 U J))))
(exp.f64 (*.f64 (log.f64 (*.f64 J (/.f64 U J))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 J (/.f64 U J)))) #s(literal 1 binary64))
(/.f64 J (/.f64 J U))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(/.f64 (*.f64 J U) J)
(/.f64 (neg.f64 (*.f64 J U)) (neg.f64 J))
(/.f64 (/.f64 (*.f64 J U) (sqrt.f64 J)) (sqrt.f64 J))
(/.f64 (*.f64 J (neg.f64 U)) (neg.f64 J))
(/.f64 (*.f64 (*.f64 J U) #s(literal -1 binary64)) (neg.f64 J))
(/.f64 (*.f64 (neg.f64 U) J) (neg.f64 J))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 J U)) (neg.f64 J))
(/.f64 (/.f64 (*.f64 J U) #s(literal 1 binary64)) J)
(/.f64 (/.f64 (*.f64 J U) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (cbrt.f64 J))
(pow.f64 (*.f64 J (/.f64 U J)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 J (/.f64 U J))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 J (/.f64 U J)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 J (/.f64 U J))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 J (/.f64 U J)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 U J)) J))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (/.f64 U J)))))
(cbrt.f64 (pow.f64 (*.f64 J (/.f64 U J)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (/.f64 U J) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 U J) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 3 binary64)) (pow.f64 (*.f64 J U) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J U) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 J U) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
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(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 1 binary64)))

simplify344.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
962×fma-define
433×*-commutative
404×distribute-lft-in
403×distribute-rgt-in
379×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113243286
1337336735
Stop Event
1×node limit
Counts
608 → 692
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 5 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 3 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64)))))))
(*.f64 J (+.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 #s(literal -1 binary64) (*.f64 J (+.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 J (pow.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (*.f64 J (pow.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 J (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/23040 binary64) (*.f64 (*.f64 J (pow.f64 K #s(literal 2 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) (*.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 3 binary64)))))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 J #s(literal 5 binary64)))) (*.f64 #s(literal 1/64 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 J #s(literal 3 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 U (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64)))))))
(*.f64 U (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))))))))
(*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64)))))))))
(*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))))
(+.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/192 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))) (*.f64 #s(literal 1/23040 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64)))))))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))))))))
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#s(literal 1 binary64)
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U
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(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))) (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal -2 binary64))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 U (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 J #s(literal 2 binary64)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 J #s(literal 2 binary64)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 J #s(literal 2 binary64)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))

eval602.0ms (2.7%)

Compiler

Compiled 21980 to 17427 computations (20.7% saved)

prune215.0ms (1%)

Pruning

23 alts after pruning (15 fresh and 8 done)

PrunedKeptTotal
New6857692
Fresh4812
Picked145
Done246
Total69223715
Accuracy
100.0%
Counts
715 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.2%
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
50.0%
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))
✓30.6%
(/.f64 (*.f64 U J) (neg.f64 J))
11.8%
(/.f64 (*.f64 J U) J)
11.3%
(/.f64 J (/.f64 J U))
11.8%
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
38.2%
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U)) U)
55.9%
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
✓11.8%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
50.7%
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 J))
41.5%
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J (/.f64 #s(literal 2 binary64) U)) J)))))
51.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
38.2%
(*.f64 U (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) U) (/.f64 #s(literal -2 binary64) U))))
✓17.3%
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))
✓11.3%
(*.f64 J (/.f64 U J))
✓87.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
✓72.0%
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
11.3%
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
51.2%
(*.f64 J (log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
29.2%
(*.f64 #s(literal -2 binary64) J)
✓41.1%
(neg.f64 U)
29.6%
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
✓13.5%
U
Compiler

Compiled 872 to 650 computations (25.5% saved)

regimes102.0ms (0.5%)

Counts
39 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J (/.f64 U J))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(/.f64 (*.f64 U J) (neg.f64 J))
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U)) U)
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J (/.f64 #s(literal 2 binary64) U)) J)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
(*.f64 U (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) U) (/.f64 #s(literal -2 binary64) U))))
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 J))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(*.f64 J (log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 J (pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64))) #s(literal 3 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) J) (/.f64 U (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) J))) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (sqrt.f64 J)) (sqrt.f64 J))
Outputs
(neg.f64 U)
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
U
Calls

6 calls:

27.0ms
U
20.0ms
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
19.0ms
J
12.0ms
(/.f64 K #s(literal 2 binary64))
11.0ms
K
Results
AccuracySegmentsBranch
90.1%2J
87.0%1K
92.3%4U
99.9%3(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
87.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
87.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 42 computations (19.2% saved)

regimes18.0ms (0.1%)

Counts
30 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J (/.f64 U J))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(/.f64 (*.f64 U J) (neg.f64 J))
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U)) U)
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J (/.f64 #s(literal 2 binary64) U)) J)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
(*.f64 U (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) U) (/.f64 #s(literal -2 binary64) U))))
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 J))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
(*.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 J (log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))))))
(cbrt.f64 (pow.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(*.f64 J (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) J)))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 (*.f64 J #s(literal -2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
Outputs
(neg.f64 U)
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))))
Calls

1 calls:

16.0ms
J
Results
AccuracySegmentsBranch
90.1%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes189.0ms (0.9%)

Counts
24 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J (/.f64 U J))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(/.f64 (*.f64 U J) (neg.f64 J))
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U)) U)
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J (/.f64 #s(literal 2 binary64) U)) J)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
(*.f64 U (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) U) (/.f64 #s(literal -2 binary64) U))))
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 J))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 U (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 U #s(literal 2 binary64)))))
Outputs
(*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J))))
(neg.f64 U)
Calls

5 calls:

94.0ms
K
32.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
31.0ms
(/.f64 K #s(literal 2 binary64))
18.0ms
J
12.0ms
U
Results
AccuracySegmentsBranch
73.7%3K
73.7%3(/.f64 K #s(literal 2 binary64))
80.1%5(cos.f64 (/.f64 K #s(literal 2 binary64)))
80.7%2U
81.3%4J
Compiler

Compiled 25 to 20 computations (20% saved)

regimes577.0ms (2.6%)

Counts
18 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J (/.f64 U J))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(/.f64 (*.f64 U J) (neg.f64 J))
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U)) U)
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 (*.f64 J (/.f64 #s(literal 2 binary64) U)) J)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U) (neg.f64 U))
(*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 U #s(literal 1/2 binary64)) J) #s(literal 2 binary64)))))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)
Calls

3 calls:

396.0ms
K
133.0ms
U
43.0ms
J
Results
AccuracySegmentsBranch
72.7%5K
72.5%3J
73.0%3U
Compiler

Compiled 12 to 9 computations (25% saved)

regimes222.0ms (1%)

Counts
13 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J (/.f64 U J))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(/.f64 (*.f64 U J) (neg.f64 J))
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 J #s(literal 2 binary64)) U)) U)
Outputs
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
Calls

2 calls:

214.0ms
J
7.0ms
U
Results
AccuracySegmentsBranch
72.8%4J
69.4%2U
Compiler

Compiled 8 to 6 computations (25% saved)

regimes115.0ms (0.5%)

Counts
11 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
(*.f64 J (/.f64 U J))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(/.f64 (*.f64 U J) (neg.f64 J))
(*.f64 J (*.f64 U (/.f64 #s(literal 1 binary64) J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
Outputs
(neg.f64 U)
(*.f64 #s(literal -2 binary64) J)
Calls

3 calls:

44.0ms
J
35.0ms
U
35.0ms
K
Results
AccuracySegmentsBranch
51.6%5K
51.4%2U
53.8%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes25.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
U
(neg.f64 U)
Outputs
(neg.f64 U)
Calls

3 calls:

21.0ms
J
2.0ms
K
1.0ms
U
Results
AccuracySegmentsBranch
43.4%3K
41.1%1U
41.1%1J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
U
Outputs
U
Calls

3 calls:

1.0ms
J
1.0ms
U
1.0ms
K
Results
AccuracySegmentsBranch
13.5%1K
13.5%1J
13.5%1U
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.618337697765653e+307
+inf
0.0ms
-inf
-2.4973200458042178e+306
Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch95.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
94.0ms
4.618588955292798e-201
1.5500302478760431e-195
Results
85.0ms143×256valid
0.0ms1×256valid
Compiler

Compiled 312 to 252 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-cos, time spent: 8.0ms, 38.0% of total-time
Operation ival-mult, time spent: 6.0ms, 28.0% of total-time
Operation ival-div, time spent: 3.0ms, 14.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 1.0ms, 5.0% of total-time
Operation ival-pow, time spent: 1.0ms, 5.0% of total-time

bsearch36.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
4.214974680118854e+122
8.036135698902031e+123
Results
29.0ms111×256valid
0.0ms1×256valid
Compiler

Compiled 215 to 174 computations (19.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
Operation ival-cos, time spent: 10.0ms, 48.0% of total-time
Operation ival-mult, time spent: 5.0ms, 24.0% of total-time
Operation ival-div, time spent: 2.0ms, 10.0% of total-time
Operation ival-add, time spent: 1.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 1.0ms, 5.0% of total-time
Operation ival-pow, time spent: 1.0ms, 5.0% of total-time

bsearch70.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.0774686088922792e+102
1.2629694308163174e+104
37.0ms
2.9473328862531832e-151
1.1822677884666148e-146
Results
53.0ms239×256valid
0.0ms1×256valid
Compiler

Compiled 396 to 322 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
Operation ival-cos, time spent: 12.0ms, 34.0% of total-time
Operation ival-mult, time spent: 11.0ms, 31.0% of total-time
Operation ival-div, time spent: 5.0ms, 14.0% of total-time
Operation ival-pow, time spent: 3.0ms, 9.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 6.0% of total-time
Operation ival-add, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch163.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
3.9606876974106096e+30
9.73495828907208e+30
70.0ms
1.6456476203230303e-10
5.3225790953371686e-9
49.0ms
8.92949103249786e-80
2.3423573129103156e-79
Results
118.0ms271×256valid
0.0ms1×256valid
Compiler

Compiled 339 to 282 computations (16.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
Operation ival-cos, time spent: 34.0ms, 34.0% of total-time
Operation ival-sqrt, time spent: 23.0ms, 23.0% of total-time
Operation ival-add, time spent: 21.0ms, 21.0% of total-time
Operation ival-mult, time spent: 10.0ms, 10.0% of total-time
Operation ival-div, time spent: 6.0ms, 6.0% of total-time
Operation ival-pow, time spent: 3.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 1.0% of total-time

bsearch68.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
67.0ms
7.1802295931154675e+56
1.0446324740441152e+58
Results
61.0ms95×256valid
0.0ms1×256valid
Compiler

Compiled 111 to 93 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
Operation ival-add, time spent: 20.0ms, 60.0% of total-time
Operation ival-cos, time spent: 5.0ms, 15.0% of total-time
Operation ival-mult, time spent: 4.0ms, 12.0% of total-time
Operation ival-div, time spent: 2.0ms, 6.0% of total-time
Operation ival-sqrt, time spent: 1.0ms, 3.0% of total-time
Operation ival-pow, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify139.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
16×*-commutative
4×not-or
4×if-if-or-not
3×1-exp
2×if-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
077700
1106699
2111699
3115695
4116695
5117695
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 J #s(literal 3534811325840507/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) (neg.f64 U) (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(if (<=.f64 U #s(literal 7999999999999999821679757851233037360463874380759372619136666581299930327118719088622932470732061053478060176567610804011008 binary64)) (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J)))) (neg.f64 U))
(if (<=.f64 U #s(literal 1237201293499379/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 U #s(literal 45000000000000000086205378858060093129717980726933640501876158156972069589179494018255626529868114558976 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
(if (<=.f64 J #s(literal 7475954625723185/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (neg.f64 U) (if (<=.f64 J #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 J #s(literal 4000000000000000079538499354624 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))))
(if (<=.f64 J #s(literal 7500000000000000623937048661933182871334659851776843317248 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)
U
Outputs
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) U))
(if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal -inf.0 binary64)) (neg.f64 U) (if (<=.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))))) U))
(if (<=.f64 J #s(literal 3534811325840507/168324348849547952231711676252164117297610873690341563503944988898199428937506586307637329160882830439263455003397702966816621832005881723620090072660860187198567157476110227142133240252298326952681384055545004032 binary64)) (neg.f64 U) (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))))))
(if (<=.f64 U #s(literal 7999999999999999821679757851233037360463874380759372619136666581299930327118719088622932470732061053478060176567610804011008 binary64)) (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U #s(literal 2 binary64)) J)))) (neg.f64 U))
(if (<=.f64 U #s(literal 1237201293499379/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 U #s(literal 45000000000000000086205378858060093129717980726933640501876158156972069589179494018255626529868114558976 binary64)) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J))) (*.f64 #s(literal -2 binary64) J)) (neg.f64 U)))
(if (<=.f64 U #s(literal 1237201293499379/112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378368 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (if (<=.f64 U #s(literal 45000000000000000086205378858060093129717980726933640501876158156972069589179494018255626529868114558976 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) J) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) J)))) (neg.f64 U)))
(if (<=.f64 J #s(literal 7475954625723185/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (neg.f64 U) (if (<=.f64 J #s(literal 7930553376671967/9671406556917033397649408 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)) (if (<=.f64 J #s(literal 4000000000000000079538499354624 binary64)) (neg.f64 U) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))))
(if (<=.f64 J #s(literal 7475954625723185/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (neg.f64 U) (if (or (<=.f64 J #s(literal 7930553376671967/9671406556917033397649408 binary64)) (not (<=.f64 J #s(literal 4000000000000000079538499354624 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
(if (or (<=.f64 J #s(literal 7475954625723185/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (not (or (<=.f64 J #s(literal 7930553376671967/9671406556917033397649408 binary64)) (not (<=.f64 J #s(literal 4000000000000000079538499354624 binary64)))))) (neg.f64 U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (or (<=.f64 J #s(literal 7475954625723185/66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216768 binary64)) (and (not (<=.f64 J #s(literal 7930553376671967/9671406556917033397649408 binary64))) (<=.f64 J #s(literal 4000000000000000079538499354624 binary64)))) (neg.f64 U) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(if (<=.f64 J #s(literal 7500000000000000623937048661933182871334659851776843317248 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) J))
(neg.f64 U)
U
Compiler

Compiled 218 to 169 computations (22.5% saved)

soundness1.7s (7.7%)

Rules
962×fma-define
898×log1p-expm1-u
857×fma-define
702×fma-define
570×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119737175
1360134727
0113243286
1337336735
082992
1202858
2657858
32308858
44451858
57260858
037650
1559646
26370646
037548
1632548
27902548
0105557561
1324552898
Stop Event
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 565 to 427 computations (24.4% saved)

end0.0ms (0%)

preprocess186.0ms (0.8%)

Remove

(negabs J)

(abs K)

Compiler

Compiled 2464 to 1936 computations (21.4% saved)

Profiling

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