Maksimov and Kolovsky, Equation (3)

Time bar (total: 15.6s)

analyze618.0ms (4%)

Algorithm
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: 439.0ms
ival-mult: 220.0ms (50.1% of total)
ival-cos: 111.0ms (25.3% of total)
ival-div: 43.0ms (9.8% of total)
ival-pow: 30.0ms (6.8% of total)
ival-sqrt: 15.0ms (3.4% of total)
ival-add: 12.0ms (2.7% of total)
const: 7.0ms (1.6% of total)
backward-pass: 1.0ms (0.2% of total)

sample3.0s (19.4%)

Results
2.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-cos: 520.0ms (27.2% of total)
ival-mult: 414.0ms (21.7% of total)
ival-pow: 412.0ms (21.5% of total)
ival-div: 312.0ms (16.3% of total)
ival-sqrt: 170.0ms (8.9% of total)
ival-add: 47.0ms (2.5% of total)
const: 33.0ms (1.7% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess123.0ms (0.8%)

Algorithm
egg-herbie
Rules
499×distribute-lft-neg-in
475×fma-neg
405×distribute-rgt-neg-in
340×unsub-neg
306×neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082992
1202858
2657858
32308858
44451858
57260858
Stop Event
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)

explain758.0ms (4.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
430-0-(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))))
310-0-(*.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)))))
10-0-(*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
10-0-(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #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-J
078(4.277275484162494e-117 1.1418642491043989e-117 8.033890506716816e-183)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)
0125(5.005462865465355e+85 4.028931249510181e+110 1.9540027367333417e+298)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
Results
536.0ms512×0valid
Compiler

Compiled 255 to 194 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 407.0ms
ival-cos: 196.0ms (48.1% of total)
ival-div: 95.0ms (23.3% of total)
ival-mult: 67.0ms (16.4% of total)
ival-pow: 24.0ms (5.9% of total)
ival-sqrt: 9.0ms (2.2% of total)
ival-add: 8.0ms (2% of total)
const: 8.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 90 to 70 computations (22.2% saved)

prune19.0ms (0.1%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(*.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)))))
88.5%
(*.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))))))
88.5%
(*.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)

localize1.1s (7.3%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.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)))))))
cost-diff0
(*.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))))))))
cost-diff6528
(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))))
cost-diff6528
(*.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)))))
accuracy88.6%
(*.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)))))
accuracy88.6%
(*.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))))))
accuracy88.6%
(*.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))))))))
accuracy84.2%
(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))))
Rules
325×associate-*r/
208×associate-*l/
200×associate-/l/
192×associate-/r*
180×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037969
185969
2173969
3344969
4703969
51231969
61608969
71632969
81632969
91632969
Stop Event
saturated
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))))))))
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) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(literal -2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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))))))
#s(literal 1 binary64)
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 U #s(literal 2 binary64))
U
(*.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)))))
J
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(literal -2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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)))))
#s(literal 1 binary64)
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 J #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) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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 #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 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 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) J)
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)) (*.f64 J (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 (/.f64 U #s(literal 2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J (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) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (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))))))))
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 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (*.f64 (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 #s(literal -2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))))
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(literal -2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (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)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 U #s(literal 2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (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))))
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(/.f64 U #s(literal 2 binary64))
U
(*.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 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J (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) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
J
(*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
#s(literal -2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
(/.f64 U (*.f64 J #s(literal 2 binary64)))
U
(*.f64 J #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 (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J (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) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (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 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) J)
(*.f64 J #s(literal -2 binary64))
#s(literal -2 binary64)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
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))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (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)))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))))
(+.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 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64)))
#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 (/.f64 U (*.f64 J #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(/.f64 (/.f64 (/.f64 U #s(literal 2 binary64)) J) (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))))
(/.f64 (/.f64 U (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 J #s(literal 2 binary64)))
U
(*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))
(*.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 J (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
Results
802.0ms256×0valid
Compiler

Compiled 282 to 208 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 548.0ms
ival-div: 232.0ms (42.3% of total)
ival-cos: 176.0ms (32.1% of total)
ival-mult: 75.0ms (13.7% of total)
ival-pow: 27.0ms (4.9% of total)
ival-hypot: 21.0ms (3.8% of total)
const: 10.0ms (1.8% of total)
ival-add: 4.0ms (0.7% of total)
ival-sqrt: 4.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series69.0ms (0.4%)

Counts
5 → 180
Calls
Call 1
Inputs
#<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 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 (*.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 (*.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 (*.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)))))))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 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 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #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 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #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 6 binary64))))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)) J)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 3 binary64)))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (*.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 5 binary64))) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))) J)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 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 binary64) (+.f64 (*.f64 #s(literal -1/128 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 4 binary64))))) (*.f64 #s(literal 1/8 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 binary64) (+.f64 (*.f64 #s(literal -1/128 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 4 binary64))))) (+.f64 (*.f64 #s(literal 1/1024 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 6 binary64))))) (*.f64 #s(literal 1/8 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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 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 binary64) (+.f64 (*.f64 #s(literal -1/128 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 4 binary64))))) (*.f64 #s(literal 1/8 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 binary64) (+.f64 (*.f64 #s(literal -1/128 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 4 binary64))))) (+.f64 (*.f64 #s(literal 1/1024 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 6 binary64))))) (*.f64 #s(literal 1/8 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 (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 (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 (*.f64 (pow.f64 K #s(literal 2 binary64)) (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 (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 1/32 binary64) (*.f64 (/.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 1/2 binary64) (*.f64 (*.f64 (pow.f64 K #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)))))))))) (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 (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 1/32 binary64) (*.f64 (/.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 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.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 #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 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 K #s(literal 2 binary64)) (-.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))))))))))))))>
#<alt (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 (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 (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 (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 (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 (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 (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 (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 -1 binary64) U)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 J (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 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) J))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (-.f64 (+.f64 (*.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 5 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 J (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 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 4 binary64)))))) (/.f64 #s(literal 1 binary64) J))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 U J))>
#<alt (/.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))) U)) (*.f64 #s(literal -1 binary64) U)) J)>
#<alt (/.f64 (+.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))))))) J)>
#<alt (/.f64 (+.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))))))))) 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 (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 (*.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 (*.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) (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 (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 (*.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 (*.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))))))))>
Calls

45 calls:

TimeVariablePointExpression
6.0ms
K
@0
(* J (* (* -2 (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
5.0ms
U
@0
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
5.0ms
K
@0
(* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
3.0ms
K
@inf
(* (* -2 (cos (/ K 2))) (sqrt (+ (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
3.0ms
K
@0
(sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))

rewrite288.0ms (1.8%)

Algorithm
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
037347
1631347
27890347
Stop Event
node limit
Counts
5 → 92
Calls
Call 1
Inputs
(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 (*.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 (*.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) (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)))))))
Outputs
(-.f64 (exp.f64 (log1p.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 1 binary64))
(*.f64 #s(literal 1 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 (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 (cbrt.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))))))) (cbrt.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 2 binary64))))
(*.f64 (cbrt.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 2 binary64))) (cbrt.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))))))))
(*.f64 (sqrt.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))))))) (sqrt.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))))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #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 (pow.f64 (pow.f64 (cbrt.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 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.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 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.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 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.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 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (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)))) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (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)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (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))) (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)))))
(pow.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 2 binary64)) #s(literal 1/2 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 1 binary64))
(pow.f64 (cbrt.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 (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)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.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 2 binary64))
(fabs.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)))))))
(log.f64 (exp.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))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))))))))
(cbrt.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)))
(expm1.f64 (log1p.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))))))))
(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 (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 (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 (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))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.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 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 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 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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))))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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))))
(expm1.f64 (log1p.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 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 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
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(log.f64 (pow.f64 (exp.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))))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
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(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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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))))
(expm1.f64 (log1p.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 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 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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))))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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))))
(expm1.f64 (log1p.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (exp.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))))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(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 U (/.f64 (/.f64 #s(literal 1/2 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 #s(literal -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 (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))) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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))))
(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 U (/.f64 (/.f64 #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 U (/.f64 (/.f64 #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 U (/.f64 (/.f64 #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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1 binary64)))

simplify335.0ms (2.1%)

Algorithm
egg-herbie
Rules
925×times-frac
489×associate-*r*
454×fma-define
434×associate-*l*
358×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052732858
1158431334
2617229908
Stop Event
node limit
Counts
272 → 300
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #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 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #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 6 binary64))))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))
(*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64))))))
(*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
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(pow.f64 (cbrt.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 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 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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))))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))) #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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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))))
(expm1.f64 (log1p.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.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)))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (exp.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))))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(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 U (/.f64 (/.f64 #s(literal 1/2 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 #s(literal -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 (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))) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #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))))
(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 U (/.f64 (/.f64 #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 U (/.f64 (/.f64 #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 U (/.f64 (/.f64 #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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1 binary64)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 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 1 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 U #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 4 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 #s(literal -1/128 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (pow.f64 U #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 6 binary64))))) (*.f64 #s(literal 1/128 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (/.f64 #s(literal 1/128 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 #s(literal 1/1024 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))
(*.f64 U (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))
(*.f64 U (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64))))))
(*.f64 U (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 J #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64))))))
(*.f64 U (-.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 J #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))))
(*.f64 U (-.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))
(*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))))
(*.f64 U (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 J #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))))
(*.f64 U (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (pow.f64 J #s(literal 3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))))
(*.f64 U (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (pow.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(*.f64 (/.f64 U (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (/.f64 U J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -1/2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64))))))
(*.f64 (neg.f64 U) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (pow.f64 U #s(literal 2 binary64)))))
(*.f64 U (neg.f64 (fma.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 U #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
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U
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U
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U
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(expm1.f64 (log1p.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal -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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal -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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) 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 #s(literal -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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))

eval181.0ms (1.2%)

Compiler

Compiled 14587 to 11644 computations (20.2% saved)

prune70.0ms (0.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New29010300
Fresh000
Picked123
Done000
Total29112303
Accuracy
100.0%
Counts
303 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.4%
(*.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)))))
88.5%
(*.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))))))
51.6%
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
24.7%
(*.f64 J (pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))
31.7%
(*.f64 J (/.f64 (neg.f64 U) J))
11.0%
(*.f64 J (/.f64 U J))
26.0%
(*.f64 J (-.f64 (exp.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 1 binary64)))
52.1%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
52.0%
(*.f64 J (log.f64 (pow.f64 (exp.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))))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
66.8%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
39.1%
(neg.f64 U)
15.0%
U
Compiler

Compiled 393 to 313 computations (20.4% saved)

localize953.0ms (6.1%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff12864
(pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
cost-diff12864
(*.f64 J (pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))
cost-diff12864
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
cost-diff12864
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
accuracy96.0%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
accuracy95.9%
(sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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)))))))))
accuracy95.1%
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
accuracy92.4%
(*.f64 J (/.f64 U J))
Rules
1810×distribute-lft-in
1766×fma-define
673×associate-/l/
534×distribute-rgt-in
441×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0351117
1731117
21701117
36371117
411851117
532651117
659351117
761991117
863741117
963741117
1063741117
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
J
(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 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 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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))))))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(*.f64 #s(literal -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)
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 3 binary64)
U
(*.f64 J (/.f64 U J))
J
(/.f64 U J)
U
(*.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)))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(literal -2 binary64)
(*.f64 J (pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))
J
(pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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))))))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(*.f64 #s(literal -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)
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 2 binary64)
Outputs
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
(*.f64 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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 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 1/2 binary64)))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
J
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(*.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) (*.f64 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 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 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 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 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 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 #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 1/2 binary64)))))))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
(*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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) (*.f64 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 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 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 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(*.f64 #s(literal -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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
#s(literal -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))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#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 #s(literal 1/2 binary64) (*.f64 J (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 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 3 binary64)
U
(*.f64 J (/.f64 U J))
U
J
(/.f64 U J)
U
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal -2 binary64)))
(*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
#s(literal -2 binary64)
(*.f64 J (pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))
(*.f64 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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 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 1/2 binary64)))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J #s(literal -2 binary64))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(*.f64 J (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
J
(pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
(*.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) (*.f64 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 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 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 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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)))))))))
(sqrt.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(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 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(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 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U 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 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 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 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
(*.f64 #s(literal -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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 1/2 binary64)))))))
(*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
#s(literal -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))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#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 #s(literal 1/2 binary64) (*.f64 J (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 #s(literal 1/2 binary64) (/.f64 U (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 U J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1/2 binary64) J)
#s(literal 2 binary64)
Results
447.0ms182×0invalid
182.0ms74×0valid
Compiler

Compiled 333 to 248 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 563.0ms
ival-mult: 233.0ms (41.4% of total)
ival-cos: 159.0ms (28.2% of total)
ival-div: 75.0ms (13.3% of total)
ival-hypot: 50.0ms (8.9% of total)
ival-pow: 24.0ms (4.3% of total)
const: 11.0ms (2% of total)
ival-sqrt: 8.0ms (1.4% of total)
ival-cbrt: 4.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series173.0ms (1.1%)

Counts
6 → 204
Calls
Call 1
Inputs
#<alt (*.f64 J (/.f64 U J))>
#<alt (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))>
#<alt (*.f64 J (pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))>
#<alt (pow.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))>
Outputs
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
#<alt U>
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#<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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 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 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (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))))))))>
#<alt (+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (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 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (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 #s(literal 1/1024 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 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))))))))>
#<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 U (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) J)) (/.f64 (*.f64 J (*.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)))) (pow.f64 U #s(literal 2 binary64)))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) J)) (/.f64 (*.f64 J (*.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)))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) J)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 5 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 6 binary64)))) (/.f64 (*.f64 J (*.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)))) (pow.f64 U #s(literal 2 binary64)))))))>
#<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 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) J)) (/.f64 (*.f64 J (*.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)))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) J)) (/.f64 (*.f64 J (*.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)))) (pow.f64 U #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 3 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) J)) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 5 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 6 binary64)))) (/.f64 (*.f64 J (*.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)))) (pow.f64 U #s(literal 2 binary64))))))))>
#<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

51 calls:

TimeVariablePointExpression
50.0ms
K
@inf
(sqrt (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))))
23.0ms
K
@-inf
(sqrt (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))))
7.0ms
K
@0
(sqrt (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))))
6.0ms
K
@0
(cbrt (pow (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))) 3))
6.0ms
K
@0
(* J (cbrt (pow (* (cos (* K 1/2)) (* -2 (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))) 3)))

rewrite194.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1053×log1p-expm1-u
753×expm1-log1p-u
180×associate-*r*
170×prod-diff
162×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031389
1428389
24883389
Stop Event
node limit
Counts
6 → 168
Calls
Call 1
Inputs
(*.f64 J (/.f64 U J))
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 J (/.f64 J U)))) #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 J (neg.f64 U)) (neg.f64 J))
(/.f64 (*.f64 (neg.f64 U) J) (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))
(/.f64 (/.f64 (*.f64 J U) (sqrt.f64 J)) (sqrt.f64 J))
(pow.f64 (/.f64 J (/.f64 J U)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 J (/.f64 J U))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 J (/.f64 J U)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 J (/.f64 J U))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 J (/.f64 J U)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 J) (/.f64 U J)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 J (/.f64 J U)))))
(cbrt.f64 (pow.f64 (/.f64 J (/.f64 J U)) #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))))
(expm1.f64 (log1p.f64 (/.f64 J (/.f64 J U))))
(log1p.f64 (expm1.f64 (/.f64 J (/.f64 J U))))
(exp.f64 (log.f64 (/.f64 J (/.f64 J U))))
(exp.f64 (*.f64 (log.f64 (/.f64 J (/.f64 J U))) #s(literal 1 binary64)))
(-.f64 (exp.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))) #s(literal 1 binary64))
(*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 #s(literal -2 binary64) (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
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(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1/4 binary64)) (*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1/4 binary64)) (sqrt.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (pow.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)) #s(literal 1/3 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
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(*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) (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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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) (*.f64 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))) #s(literal 1/3 binary64)))

simplify335.0ms (2.1%)

Algorithm
egg-herbie
Rules
516×distribute-lft-in
515×distribute-rgt-in
431×*-commutative
378×associate-+r+
308×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0102247457
1333644224
Stop Event
node limit
Counts
372 → 487
Calls
Call 1
Inputs
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
(*.f64 (cbrt.f64 #s(literal -8 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)))))))
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(*.f64 (pow.f64 (cbrt.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (sqrt.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (sqrt.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1/4 binary64)) (*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1/4 binary64)) (sqrt.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (pow.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)) #s(literal 1/3 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1/4 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 1/4 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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal -2 binary64))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) (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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.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) (*.f64 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))) #s(literal 1/3 binary64)))
Outputs
U
U
U
U
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U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
(*.f64 (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 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 -1/8 binary64) (*.f64 (cbrt.f64 #s(literal -8 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 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cbrt.f64 #s(literal -8 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))))))))))))
(fma.f64 (cbrt.f64 #s(literal -8 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)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (cbrt.f64 #s(literal -8 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 1/32 binary64) (*.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal -8 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))))))))))))
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(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))))
(*.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (sqrt.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) (*.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 U (/.f64 (/.f64 #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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(*.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal -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 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) #s(literal 1 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (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) (*.f64 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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64)))
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (pow.f64 (exp.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) (*.f64 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 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 (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) (*.f64 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 U (/.f64 (/.f64 #s(literal 1/2 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 #s(literal -2 binary64) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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))))))))
(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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
(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 U (/.f64 (/.f64 #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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 (/.f64 #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 U (/.f64 #s(literal 1/2 binary64) (*.f64 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 U (/.f64 (/.f64 #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 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (*.f64 #s(literal 3 binary64) (log.f64 (*.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))) #s(literal 1/3 binary64)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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))))))))

eval470.0ms (3%)

Compiler

Compiled 28417 to 23505 computations (17.3% saved)

prune250.0ms (1.6%)

Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New47710487
Fresh235
Picked145
Done022
Total48019499
Accuracy
100.0%
Counts
499 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
86.8%
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
12.2%
(/.f64 (*.f64 J U) J)
11.2%
(/.f64 J (/.f64 J U))
12.2%
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
12.2%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
72.4%
(*.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)))))
88.5%
(*.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))))))
51.6%
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
31.7%
(*.f64 J (/.f64 (neg.f64 U) J))
11.0%
(*.f64 J (/.f64 U J))
31.6%
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
52.1%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
52.0%
(*.f64 J (log.f64 (pow.f64 (exp.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
66.8%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
39.1%
(neg.f64 U)
34.8%
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
15.0%
U
Compiler

Compiled 507 to 396 computations (21.9% saved)

localize1.7s (10.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff256
(/.f64 (*.f64 J U) J)
cost-diff384
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
cost-diff12864
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
accuracy88.6%
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
accuracy74.8%
(/.f64 (*.f64 J U) J)
accuracy74.6%
(/.f64 J (*.f64 J U))
accuracy35.6%
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
Rules
926×fma-neg
743×times-frac
432×*-commutative
345×associate-/l/
344×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0321009
173997
2213997
31166997
42566997
55945997
66417997
77361997
87591997
97739997
107912997
Stop Event
node limit
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
U
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal 3 binary64)
(neg.f64 U)
U
(/.f64 (*.f64 J U) J)
(*.f64 J U)
J
U
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
#s(literal 1 binary64)
(/.f64 J (*.f64 J U))
J
(*.f64 J U)
U
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
U
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal 3 binary64)
Outputs
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.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) U) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(cbrt.f64 (*.f64 (*.f64 J (*.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) U) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))))
(cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.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) U) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (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 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.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))))
#s(literal 3 binary64)
(neg.f64 U)
U
(/.f64 (*.f64 J U) J)
U
(*.f64 J U)
J
U
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
U
#s(literal 1 binary64)
(/.f64 J (*.f64 J U))
(/.f64 (/.f64 J J) U)
(/.f64 #s(literal 1 binary64) U)
J
(*.f64 J U)
U
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.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) U) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))
(pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 J (*.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) U) (*.f64 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 #s(literal -2 binary64) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 3 binary64))
(*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(*.f64 #s(literal -8 binary64) (pow.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))) #s(literal 3 binary64)))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.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) U) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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) (*.f64 J (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) U) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (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 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.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))))
#s(literal 3 binary64)
Results
1.3s256×0valid
Compiler

Compiled 298 to 208 computations (30.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 804.0ms
ival-cos: 392.0ms (48.8% of total)
ival-mult: 244.0ms (30.4% of total)
ival-div: 99.0ms (12.3% of total)
ival-hypot: 34.0ms (4.2% of total)
ival-pow: 19.0ms (2.4% of total)
const: 9.0ms (1.1% of total)
ival-cbrt: 5.0ms (0.6% of total)
ival-neg: 1.0ms (0.1% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.3%)

Counts
6 → 180
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))>
#<alt (/.f64 J (*.f64 J U))>
#<alt (/.f64 (*.f64 J U) J)>
#<alt (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64)))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) U))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 binary64)) (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 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))))>
#<alt (*.f64 J (*.f64 (cbrt.f64 #s(literal -8 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (cbrt.f64 #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cbrt.f64 #s(literal -8 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)) (cbrt.f64 #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))>
#<alt (*.f64 J (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 4 binary64)) (cbrt.f64 #s(literal -8 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)) (cbrt.f64 #s(literal -8 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)) (cbrt.f64 #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (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 -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)))))))>
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#<alt (*.f64 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (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 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))>
#<alt (+.f64 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 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 1/8 binary64) (/.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))>
#<alt (+.f64 (*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (/.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 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 1/1024 binary64) (/.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 2 binary64)))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 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 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 U (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)))) (pow.f64 U #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 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 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) (pow.f64 U #s(literal 2 binary64))))))))>
#<alt U>
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Calls

45 calls:

TimeVariablePointExpression
5.0ms
K
@0
(pow (cbrt (* (* J (* (cos (* K 1/2)) -2)) (sqrt (+ (* 1 1) (* (* U (/ 1/2 (* J (cos (* K 1/2))))) (* U (/ 1/2 (* J (cos (* K 1/2)))))))))) 3)
3.0ms
K
@-inf
(cbrt (pow (* (* J (* (cos (* K 1/2)) -2)) (sqrt (+ (* 1 1) (* (* U (/ 1/2 (* J (cos (* K 1/2))))) (* U (/ 1/2 (* J (cos (* K 1/2))))))))) 3))
3.0ms
K
@inf
(pow (cbrt (* (* J (* (cos (* K 1/2)) -2)) (sqrt (+ (* 1 1) (* (* U (/ 1/2 (* J (cos (* K 1/2))))) (* U (/ 1/2 (* J (cos (* K 1/2)))))))))) 3)
2.0ms
J
@-inf
(pow (cbrt (* (* J (* (cos (* K 1/2)) -2)) (sqrt (+ (* 1 1) (* (* U (/ 1/2 (* J (cos (* K 1/2))))) (* U (/ 1/2 (* J (cos (* K 1/2)))))))))) 3)
2.0ms
K
@0
(cbrt (pow (* (* J (* (cos (* K 1/2)) -2)) (sqrt (+ (* 1 1) (* (* U (/ 1/2 (* J (cos (* K 1/2))))) (* U (/ 1/2 (* J (cos (* K 1/2))))))))) 3))

rewrite194.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1070×log1p-expm1-u
499×expm1-log1p-u
198×associate-*r*
173×prod-diff
171×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031300
1450252
25374252
Stop Event
node limit
Counts
6 → 268
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(/.f64 J (*.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (*.f64 J (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 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 #s(literal 1 binary64) (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal -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 (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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))
(*.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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))))))))) (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)) (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cbrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))) (*.f64 (cbrt.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))))))) (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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))))
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(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (pow.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (pow.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (pow.f64 (cbrt.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 2 binary64))) (cbrt.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))))))))
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
(*.f64 (*.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)))))) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.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)))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(*.f64 (*.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)))))) (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(*.f64 (*.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)))))) (sqrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))) (sqrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)) (cbrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))) (cbrt.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))))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cbrt.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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))) (cbrt.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64))) (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (exp.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))))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)))
(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 U)) #s(literal 1 binary64))
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1 binary64) U)
(*.f64 U #s(literal 1 binary64))
(*.f64 (*.f64 J U) (/.f64 #s(literal 1 binary64) J))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 J U)) J))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 J U)) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 U) #s(literal 2 binary64)) (cbrt.f64 U))
(*.f64 (pow.f64 (cbrt.f64 J) #s(literal 2 binary64)) (*.f64 (cbrt.f64 J) (/.f64 U J)))
(*.f64 (sqrt.f64 (*.f64 J U)) (/.f64 (sqrt.f64 (*.f64 J U)) J))
(*.f64 (sqrt.f64 (*.f64 J U)) (*.f64 (sqrt.f64 (*.f64 J U)) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (sqrt.f64 U) (sqrt.f64 U))
(*.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (/.f64 U J)))
(*.f64 (*.f64 J (neg.f64 U)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 J U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) J)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 U)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 U)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 (*.f64 J U) (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 J)) (/.f64 (*.f64 J U) (sqrt.f64 J)))
(*.f64 (/.f64 U (sqrt.f64 J)) (/.f64 J (sqrt.f64 J)))
(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 U J))
(*.f64 (/.f64 J (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 U (cbrt.f64 J)))
(*.f64 (/.f64 J (sqrt.f64 J)) (/.f64 U (sqrt.f64 J)))
(*.f64 (/.f64 U #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 U (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 J (cbrt.f64 J)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 J U)) J))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (cbrt.f64 U))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (sqrt.f64 J)) (/.f64 (cbrt.f64 (*.f64 J U)) (sqrt.f64 J)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 J U)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 J U)) J))
(*.f64 (/.f64 (sqrt.f64 (*.f64 J U)) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 J U)) (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) (*.f64 J (neg.f64 U)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) J) U)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)) (*.f64 J U))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) U) J)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 J U)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (sqrt.f64 (*.f64 J U))) (sqrt.f64 (*.f64 J U)))
(pow.f64 U #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 U) #s(literal 3 binary64))
(pow.f64 (pow.f64 U #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 U) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 J U) (neg.f64 J)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) U)))
(neg.f64 (/.f64 (*.f64 J (neg.f64 U)) J))
(sqrt.f64 (pow.f64 U #s(literal 2 binary64)))
(log.f64 (exp.f64 U))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 U)))
(cbrt.f64 (pow.f64 U #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 J U) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
U
(expm1.f64 (log1p.f64 U))
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 U)) #s(literal -1 binary64)))

simplify311.0ms (2%)

Algorithm
egg-herbie
Rules
706×fma-define
491×times-frac
432×associate-/r*
411×associate-*r/
355×associate-*l/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
082429380
1270728366
Stop Event
node limit
Counts
448 → 394
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64)))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) U))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 binary64)) (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 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (pow.f64 U #s(literal 5 binary64)))))) (/.f64 (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))))
(*.f64 J (*.f64 (cbrt.f64 #s(literal -8 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)) #s(literal 3 binary64)) (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (pow.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (pow.f64 (cbrt.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 2 binary64))) (cbrt.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))))))))
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
(*.f64 (*.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)))))) J) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
(*.f64 (*.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)))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal -2 binary64))
(*.f64 (*.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)))))) (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(*.f64 (*.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)))))) (sqrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))) (sqrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)) #s(literal 1 binary64)) (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)) (cbrt.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))))) (cbrt.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))))))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cbrt.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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))) (cbrt.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (pow.f64 (cbrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64))) (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/6 binary64)))
(sqrt.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (exp.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))))))) (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)))
(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/3 binary64)))
(-.f64 (exp.f64 (log1p.f64 U)) #s(literal 1 binary64))
(*.f64 J (/.f64 U J))
(*.f64 #s(literal 1 binary64) U)
(*.f64 U #s(literal 1 binary64))
(*.f64 (*.f64 J U) (/.f64 #s(literal 1 binary64) J))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 J U)) J))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 J U)) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 U) #s(literal 2 binary64)) (cbrt.f64 U))
(*.f64 (pow.f64 (cbrt.f64 J) #s(literal 2 binary64)) (*.f64 (cbrt.f64 J) (/.f64 U J)))
(*.f64 (sqrt.f64 (*.f64 J U)) (/.f64 (sqrt.f64 (*.f64 J U)) J))
(*.f64 (sqrt.f64 (*.f64 J U)) (*.f64 (sqrt.f64 (*.f64 J U)) (/.f64 #s(literal 1 binary64) J)))
(*.f64 (sqrt.f64 U) (sqrt.f64 U))
(*.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (/.f64 U J)))
(*.f64 (*.f64 J (neg.f64 U)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 J U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) #s(literal -1 binary64)))
(*.f64 (/.f64 U J) J)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 U)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 U)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 (*.f64 J U) (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 J)) (/.f64 (*.f64 J U) (sqrt.f64 J)))
(*.f64 (/.f64 U (sqrt.f64 J)) (/.f64 J (sqrt.f64 J)))
(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 U J))
(*.f64 (/.f64 J (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 U (cbrt.f64 J)))
(*.f64 (/.f64 J (sqrt.f64 J)) (/.f64 U (sqrt.f64 J)))
(*.f64 (/.f64 U #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 U (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 J (cbrt.f64 J)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 J U)) J))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (cbrt.f64 U))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (sqrt.f64 J)) (/.f64 (cbrt.f64 (*.f64 J U)) (sqrt.f64 J)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 J U)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 J U)) J))
(*.f64 (/.f64 (sqrt.f64 (*.f64 J U)) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 J U)) (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) (*.f64 J (neg.f64 U)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) J) U)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)) (*.f64 J U))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) U) J)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 J U)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (sqrt.f64 (*.f64 J U))) (sqrt.f64 (*.f64 J U)))
(pow.f64 U #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 U) #s(literal 3 binary64))
(pow.f64 (pow.f64 U #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 U) #s(literal 2 binary64))
(neg.f64 (/.f64 (*.f64 J U) (neg.f64 J)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) U)))
(neg.f64 (/.f64 (*.f64 J (neg.f64 U)) J))
(sqrt.f64 (pow.f64 U #s(literal 2 binary64)))
(log.f64 (exp.f64 U))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 U)))
(cbrt.f64 (pow.f64 U #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 U))
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 U)) #s(literal -1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64)))) (/.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) U))
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U))))
(fma.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) U))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 (cbrt.f64 #s(literal -8 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 (cbrt.f64 #s(literal -8 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)))))
(fma.f64 (pow.f64 J #s(literal 2 binary64)) (fma.f64 (cbrt.f64 #s(literal -8 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 (cbrt.f64 #s(literal -8 binary64)) (neg.f64 (/.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 1/2 binary64) (*.f64 U (cbrt.f64 #s(literal -8 binary64)))))
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U
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U
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U
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U
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U
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U
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(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(cbrt.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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))))))))))
(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))
(expm1.f64 (log1p.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(log1p.f64 (expm1.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(exp.f64 (log.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(exp.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 1/3 binary64)))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(-.f64 (exp.f64 (log1p.f64 U)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 U))
(*.f64 J (/.f64 U J))
U
(*.f64 #s(literal 1 binary64) U)
U
(*.f64 U #s(literal 1 binary64))
U
(*.f64 (*.f64 J U) (/.f64 #s(literal 1 binary64) J))
U
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) U)))
U
(*.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 J U)) J))
U
(*.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 J U)) (/.f64 #s(literal 1 binary64) J)))
U
(*.f64 (cbrt.f64 U) (pow.f64 (cbrt.f64 U) #s(literal 2 binary64)))
U
(*.f64 (pow.f64 (cbrt.f64 U) #s(literal 2 binary64)) (cbrt.f64 U))
U
(*.f64 (pow.f64 (cbrt.f64 J) #s(literal 2 binary64)) (*.f64 (cbrt.f64 J) (/.f64 U J)))
U
(*.f64 (sqrt.f64 (*.f64 J U)) (/.f64 (sqrt.f64 (*.f64 J U)) J))
U
(*.f64 (sqrt.f64 (*.f64 J U)) (*.f64 (sqrt.f64 (*.f64 J U)) (/.f64 #s(literal 1 binary64) J)))
U
(*.f64 (sqrt.f64 U) (sqrt.f64 U))
U
(*.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (/.f64 U J)))
U
(*.f64 (*.f64 J (neg.f64 U)) (/.f64 #s(literal 1 binary64) (neg.f64 J)))
U
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 J U))
U
(*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) #s(literal -1 binary64)))
U
(*.f64 (/.f64 U J) J)
U
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 U)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cbrt.f64 U))))
(/.f64 (cbrt.f64 U) (cbrt.f64 (pow.f64 U #s(literal -2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 U)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 U)) #s(literal -1 binary64)))
U
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 (*.f64 J U) (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (*.f64 J (/.f64 U (cbrt.f64 J))))
(/.f64 (*.f64 (/.f64 J (cbrt.f64 J)) U) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 J)) (/.f64 (*.f64 J U) (sqrt.f64 J)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U J) (sqrt.f64 J))) (sqrt.f64 J))
(*.f64 (/.f64 U (sqrt.f64 J)) (/.f64 J (sqrt.f64 J)))
(*.f64 (/.f64 U (sqrt.f64 J)) (/.f64 J (sqrt.f64 J)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U J) (sqrt.f64 J))) (sqrt.f64 J))
(*.f64 (/.f64 J #s(literal 1 binary64)) (/.f64 U J))
U
(*.f64 (/.f64 J (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 U (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (*.f64 J (/.f64 U (cbrt.f64 J))))
(/.f64 (*.f64 (/.f64 J (cbrt.f64 J)) U) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64)))
(*.f64 (/.f64 J (sqrt.f64 J)) (/.f64 U (sqrt.f64 J)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U J) (sqrt.f64 J))) (sqrt.f64 J))
(*.f64 (/.f64 U (sqrt.f64 J)) (/.f64 J (sqrt.f64 J)))
(*.f64 (/.f64 U #s(literal 1 binary64)) #s(literal 1 binary64))
U
(*.f64 (/.f64 U (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 J (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (*.f64 J (/.f64 U (cbrt.f64 J))))
(/.f64 (*.f64 (/.f64 J (cbrt.f64 J)) U) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 J U)) J))
U
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (cbrt.f64 U))
(*.f64 (cbrt.f64 U) (/.f64 (pow.f64 (cbrt.f64 (*.f64 U J)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64)) (sqrt.f64 J)) (/.f64 (cbrt.f64 (*.f64 J U)) (sqrt.f64 J)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 U J) (sqrt.f64 J))) (sqrt.f64 J))
(*.f64 (/.f64 U (sqrt.f64 J)) (/.f64 J (sqrt.f64 J)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 J U)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 J U)) J))
U
(*.f64 (/.f64 (sqrt.f64 (*.f64 J U)) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 J U)) (cbrt.f64 J)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64))) (*.f64 J (/.f64 U (cbrt.f64 J))))
(/.f64 (*.f64 (/.f64 J (cbrt.f64 J)) U) (pow.f64 (cbrt.f64 J) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 J)) (*.f64 J (neg.f64 U)))
U
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) J) U)
U
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) #s(literal 1 binary64)) (*.f64 J U))
U
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) U) J)
U
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (pow.f64 (cbrt.f64 (*.f64 J U)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 J U)))
U
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) J) (sqrt.f64 (*.f64 J U))) (sqrt.f64 (*.f64 J U)))
U
(pow.f64 U #s(literal 1 binary64))
U
(pow.f64 (/.f64 #s(literal 1 binary64) U) #s(literal -1 binary64))
U
(pow.f64 (cbrt.f64 U) #s(literal 3 binary64))
U
(pow.f64 (pow.f64 U #s(literal 3 binary64)) #s(literal 1/3 binary64))
U
(pow.f64 (sqrt.f64 U) #s(literal 2 binary64))
U
(neg.f64 (/.f64 (*.f64 J U) (neg.f64 J)))
U
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) U)))
U
(neg.f64 (/.f64 (*.f64 J (neg.f64 U)) J))
U
(sqrt.f64 (pow.f64 U #s(literal 2 binary64)))
(fabs.f64 U)
(log.f64 (exp.f64 U))
U
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 U)))
U
(cbrt.f64 (pow.f64 U #s(literal 3 binary64)))
U
(cbrt.f64 (/.f64 (pow.f64 (*.f64 J U) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
U
(expm1.f64 (log1p.f64 U))
(log1p.f64 (expm1.f64 U))
U
(exp.f64 (log.f64 U))
U
(exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64)))
U
(exp.f64 (*.f64 (neg.f64 (log.f64 U)) #s(literal -1 binary64)))
U

eval379.0ms (2.4%)

Compiler

Compiled 19447 to 15560 computations (20% saved)

prune212.0ms (1.4%)

Pruning

27 alts after pruning (16 fresh and 11 done)

PrunedKeptTotal
New4478455
Fresh088
Picked055
Done066
Total44727474
Accuracy
100.0%
Counts
474 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) J))))
24.8%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
86.8%
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
38.3%
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
12.2%
(/.f64 (*.f64 J U) J)
11.2%
(/.f64 J (/.f64 J U))
12.2%
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
12.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) J))
12.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (neg.f64 U))) (neg.f64 J)))
11.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J U)))
12.2%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
88.3%
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
72.4%
(*.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)))))
88.5%
(*.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))))))
51.6%
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
88.0%
(*.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)))))))))
31.7%
(*.f64 J (/.f64 (neg.f64 U) J))
11.0%
(*.f64 J (/.f64 U J))
49.8%
(*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
31.6%
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
52.1%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
52.0%
(*.f64 J (log.f64 (pow.f64 (exp.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
66.8%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
39.1%
(neg.f64 U)
34.8%
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
15.0%
U
Compiler

Compiled 734 to 576 computations (21.5% saved)

localize1.0s (6.6%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff448
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
cost-diff12864
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
cost-diff12864
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
cost-diff26304
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
accuracy99.7%
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
accuracy96.0%
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
accuracy95.9%
(sqrt.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)))))))
accuracy92.4%
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
Rules
433×distribute-rgt-neg-out
428×associate-*r*
405×fma-neg
394×distribute-lft-neg-out
343×associate-*l*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0421251
1931080
22281048
37161048
42218994
52944994
63409994
74009994
84883994
97906994
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.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)))))))
(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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) J)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) U)
U
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
J
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J)))
#s(literal 1/2 binary64)
(*.f64 U (/.f64 #s(literal -2 binary64) J))
U
(/.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
(cbrt.f64 (neg.f64 U))
(neg.f64 U)
U
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
#s(literal 1 binary64)
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
U
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
(*.f64 (sqrt.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))))))) (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.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))))))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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))))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.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)))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.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))))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -2 binary64) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U 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) (sqrt.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))))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(sqrt.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)))))))
(sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U 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))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) J)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
U
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) U)
U
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(*.f64 J (/.f64 (neg.f64 U) J))
(neg.f64 U)
J
(*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J)))
(/.f64 (neg.f64 U) J)
(/.f64 U (neg.f64 J))
#s(literal 1/2 binary64)
(*.f64 U (/.f64 #s(literal -2 binary64) J))
(*.f64 #s(literal -2 binary64) (/.f64 U J))
U
(/.f64 #s(literal -2 binary64) J)
#s(literal -2 binary64)
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(*.f64 J (/.f64 (neg.f64 U) J))
(neg.f64 U)
(cbrt.f64 (neg.f64 U))
(neg.f64 U)
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(*.f64 J (/.f64 (neg.f64 U) J))
U
#s(literal 3 binary64)
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
(*.f64 (sqrt.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))))))) (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.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))))))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(sqrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)))))))))
(sqrt.f64 (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 (sqrt.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))))))) (*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (sqrt.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))))))))))
(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))
(*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))
J
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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))))))
(hypot.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
#s(literal 1 binary64)
(*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 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)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 U J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
U
(/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.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))))
#s(literal 2 binary64)
Results
431.0ms182×0invalid
272.0ms74×0valid
Compiler

Compiled 316 to 230 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 635.0ms
ival-cos: 311.0ms (48.9% of total)
ival-mult: 135.0ms (21.2% of total)
ival-div: 115.0ms (18.1% of total)
ival-hypot: 39.0ms (6.1% of total)
const: 11.0ms (1.7% of total)
ival-sqrt: 11.0ms (1.7% of total)
ival-pow: 10.0ms (1.6% of total)
ival-cbrt: 2.0ms (0.3% of total)
ival-neg: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

series71.0ms (0.5%)

Counts
5 → 144
Calls
Call 1
Inputs
#<alt (*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))>
#<alt (sqrt.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)))))))>
#<alt (pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt (*.f64 #s(literal -1 binary64) U)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 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 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/512 binary64) (/.f64 (pow.f64 U #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 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))>
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#<alt (+.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #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 -1/128 binary64) (/.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #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 1/1024 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 5 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 U (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (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)))) (pow.f64 U #s(literal 2 binary64)))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (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)))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 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 6 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)))) (pow.f64 U #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 U (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal 1/2 binary64) (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)))) (pow.f64 U #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (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)))) (pow.f64 U #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 U (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 4 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 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (pow.f64 J #s(literal 6 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 6 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)))) (pow.f64 U #s(literal 2 binary64))))))))>
Calls

36 calls:

TimeVariablePointExpression
28.0ms
U
@0
(pow (cbrt (neg U)) 3)
4.0ms
U
@inf
(sqrt (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))
4.0ms
J
@0
(* (* (* J (* (cos (* K 1/2)) -2)) (sqrt (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))) (sqrt (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2)))))))))
2.0ms
K
@0
(pow (sqrt (* (* J (* (cos (* K 1/2)) -2)) (sqrt (+ (* 1 1) (* (* U (/ 1/2 (* J (cos (* K 1/2))))) (* U (/ 1/2 (* J (cos (* K 1/2)))))))))) 2)
2.0ms
K
@0
(* (* (* J (* (cos (* K 1/2)) -2)) (sqrt (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2))))))))) (sqrt (sqrt (+ (* 1 1) (* (* U (/ (/ 1/2 J) (cos (* K 1/2)))) (* U (/ (/ 1/2 J) (cos (* K 1/2)))))))))

rewrite205.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
801×log1p-expm1-u
292×associate-*r*
219×expm1-log1p-u
216×add-exp-log
216×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040246
1626242
26758242
Stop Event
node limit
Counts
5 → 142
Calls
Call 1
Inputs
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(sqrt.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)))))))
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 J #s(literal 1/2 binary64)) (*.f64 U #s(literal -2 binary64))) J)
(pow.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 J) (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U))))))
(cbrt.f64 (pow.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)) #s(literal 3 binary64)) (pow.f64 J #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)))))
(log1p.f64 (expm1.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)))))
(exp.f64 (log.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)))))
(exp.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (/.f64 #s(literal -2 binary64) J) (*.f64 #s(literal 1/2 binary64) U)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(pow.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1 binary64))
(pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1/2 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(log.f64 (exp.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(cbrt.f64 (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(exp.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 1/2 binary64)))
(+.f64 #s(literal 0 binary64) U)
(-.f64 #s(literal 0 binary64) U)
(-.f64 (exp.f64 (log1p.f64 U)) #s(literal 1 binary64))
(*.f64 U #s(literal 1 binary64))
(*.f64 U #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) U)
(*.f64 (cbrt.f64 U) (cbrt.f64 (pow.f64 U #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64))) (cbrt.f64 U))
(*.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64))) (neg.f64 (cbrt.f64 U)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 U)) (cbrt.f64 (pow.f64 U #s(literal 2 binary64)))))
(*.f64 (pow.f64 U #s(literal 1/6 binary64)) (*.f64 (pow.f64 U #s(literal 1/6 binary64)) (cbrt.f64 (pow.f64 U #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 U) (sqrt.f64 U))
(*.f64 (sqrt.f64 U) (neg.f64 (sqrt.f64 U)))
(*.f64 #s(literal -1 binary64) U)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64)))) #s(literal 3 binary64)) (cbrt.f64 U))
(*.f64 (pow.f64 (pow.f64 U #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 U #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64)))) (cbrt.f64 U))
(*.f64 (neg.f64 (sqrt.f64 U)) (sqrt.f64 U))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64))) #s(literal 1 binary64)) (cbrt.f64 U))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 U)))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 U #s(literal 2 binary64))) (pow.f64 U #s(literal 1/6 binary64))) (pow.f64 U #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 U #s(literal 2 binary64)))) (cbrt.f64 U))
(*.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 U)) (sqrt.f64 U))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 U #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) U))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 U #s(literal 2 binary64))) U)
(neg.f64 U)
(sqrt.f64 (pow.f64 U #s(literal 2 binary64)))
(log.f64 (exp.f64 U))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 U)))
(cbrt.f64 (pow.f64 U #s(literal 3 binary64)))
U
(expm1.f64 (log1p.f64 U))
(log1p.f64 (expm1.f64 U))
(exp.f64 (log.f64 U))
(exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal 2 binary64))
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(*.f64 (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (sqrt.f64 (*.f64 J (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (sqrt.f64 (*.f64 J (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(*.f64 (*.f64 (*.f64 J (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (cbrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) (cbrt.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))
(*.f64 (*.f64 (*.f64 J (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) J) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal -2 binary64))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) (cbrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))) (cbrt.f64 (sqrt.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))
(sqrt.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))))))
(cbrt.f64 (pow.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))) #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 #s(literal 1/2 binary64) K))))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 J (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #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 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 J (*.f64 (sqrt.f64 (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))) (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) #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 #s(literal 1/2 binary64) K))))) #s(literal 3/2 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 #s(literal 1/2 binary64) K))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(log1p.f64 (expm1.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(exp.f64 (log.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal 1 binary64)))

simplify438.0ms (2.8%)

Algorithm
egg-herbie
Rules
673×fma-define
376×distribute-lft-in
371×distribute-rgt-in
341×*-commutative
303×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
084129123
1255126850
2781626850
Stop Event
node limit
Counts
286 → 390
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
(*.f64 #s(literal -1 binary64) U)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/512 binary64) (/.f64 (pow.f64 U #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 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/8192 binary64) (/.f64 (pow.f64 U #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 6 binary64))))) (*.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (/.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)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))))) (pow.f64 U #s(literal 2 binary64))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (+.f64 (*.f64 #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 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.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))) (/.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)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))))) (pow.f64 U #s(literal 2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (+.f64 (*.f64 #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 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.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))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (+.f64 (*.f64 #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 6 binary64)))) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 J #s(literal 6 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)))) (*.f64 #s(literal 16/3 binary64) (*.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 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))))) (pow.f64 U #s(literal 2 binary64))))))
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(expm1.f64 (log1p.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(log1p.f64 (expm1.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(exp.f64 (log.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
(*.f64 #s(literal -1 binary64) U)
(neg.f64 U)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/16 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))))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/512 binary64) (/.f64 (pow.f64 U #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 4 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 #s(literal -3/512 binary64) (/.f64 (pow.f64 U #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 4 binary64)))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 #s(literal -3/512 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/8192 binary64) (/.f64 (pow.f64 U #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 6 binary64))))) (*.f64 #s(literal 3/512 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 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 1 binary64) (*.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 (pow.f64 U #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 7/8192 binary64) (/.f64 (pow.f64 U #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 6 binary64))))) (/.f64 #s(literal 3/512 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 (pow.f64 U #s(literal 2 binary64)) (fma.f64 #s(literal 7/8192 binary64) (/.f64 (/.f64 (pow.f64 U #s(literal 2 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -3/512 binary64) (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 J #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (neg.f64 (log.f64 U)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 U)) (log.f64 (/.f64 #s(literal 1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (/.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)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))))) (pow.f64 U #s(literal 2 binary64))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (neg.f64 (log.f64 U))))) (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (neg.f64 (log.f64 U)))))) (pow.f64 U #s(literal 2 binary64)))))
(fma.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 U)) (log.f64 (/.f64 #s(literal 1/4 binary64) (*.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)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 U)) (log.f64 (/.f64 #s(literal 1/4 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 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))) (+.f64 (*.f64 #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 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.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))) (/.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)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (log.f64 (/.f64 #s(literal 1 binary64) U)))))))) (pow.f64 U #s(literal 2 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (neg.f64 (log.f64 U))))) (+.f64 (*.f64 (pow.f64 J #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (neg.f64 (log.f64 U)))))) (pow.f64 U #s(literal 2 binary64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal 1/4 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) (neg.f64 (log.f64 U))))) (/.f64 (*.f64 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -3/2 binary64)) (pow.f64 U #s(literal 4 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 U)) (log.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 J #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))))))) (fma.f64 (pow.f64 J #s(literal 2 binary64)) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 U)) (log.f64 (/.f64 #s(literal 1/4 binary64) (*.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 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 U)) (log.f64 (/.f64 #s(literal 1/4 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 (*.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (/.f64 #s(literal -3/2 binary64) (pow.f64 U #s(literal 4 binary64)))))))
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U
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U
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 U)))
U
(cbrt.f64 (pow.f64 U #s(literal 3 binary64)))
U
(expm1.f64 (log1p.f64 U))
(log1p.f64 (expm1.f64 U))
U
(exp.f64 (log.f64 U))
U
(exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64)))
U
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(exp.f64 (*.f64 (log.f64 (*.f64 J (*.f64 (*.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))) #s(literal 1 binary64)))
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(*.f64 J (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (hypot.f64 #s(literal 1 binary64) (/.f64 (*.f64 U #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))

eval559.0ms (3.6%)

Compiler

Compiled 32639 to 26461 computations (18.9% saved)

prune125.0ms (0.8%)

Pruning

30 alts after pruning (15 fresh and 15 done)

PrunedKeptTotal
New5494553
Fresh01111
Picked145
Done01111
Total55030580
Accuracy
100.0%
Counts
580 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) J))))
24.8%
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
86.8%
(pow.f64 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
38.3%
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
29.7%
(/.f64 (*.f64 (*.f64 J #s(literal 1/2 binary64)) (*.f64 U #s(literal -2 binary64))) J)
12.2%
(/.f64 (*.f64 J U) J)
23.3%
(/.f64 (neg.f64 (pow.f64 U #s(literal 2 binary64))) U)
11.2%
(/.f64 J (/.f64 J U))
12.2%
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
15.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
12.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) J))
12.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (neg.f64 U))) (neg.f64 J)))
11.2%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J U)))
12.2%
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
88.3%
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
72.4%
(*.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)))))
88.5%
(*.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))))))
51.6%
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
88.0%
(*.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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)))))))))
31.7%
(*.f64 J (/.f64 (neg.f64 U) J))
11.0%
(*.f64 J (/.f64 U J))
49.8%
(*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
31.6%
(*.f64 J (*.f64 (/.f64 #s(literal -1 binary64) J) U))
52.1%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
52.0%
(*.f64 J (log.f64 (pow.f64 (exp.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
66.8%
(*.f64 J (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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64))))
50.7%
(*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
39.1%
(neg.f64 U)
34.8%
(cbrt.f64 (pow.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
15.0%
U
Compiler

Compiled 997 to 759 computations (23.9% saved)

regimes112.0ms (0.7%)

Counts
35 → 3
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J (/.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(*.f64 J (*.f64 (/.f64 #s(literal -1 binary64) J) U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J U)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) J))
(/.f64 (*.f64 (*.f64 J #s(literal 1/2 binary64)) (*.f64 U #s(literal -2 binary64))) J)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (neg.f64 U))) (neg.f64 J)))
(/.f64 (neg.f64 (pow.f64 U #s(literal 2 binary64))) U)
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
(*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) J))))
(*.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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))) #s(literal 3 binary64)))
(*.f64 J (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 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 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal -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 (cbrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (hypot.f64 #s(literal 1 binary64) (*.f64 U (/.f64 #s(literal 1/2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))))) #s(literal 2 binary64))
(*.f64 J (-.f64 (exp.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 U (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 J) (*.f64 (sqrt.f64 J) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -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 (log.f64 (pow.f64 (exp.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) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))))))
(*.f64 J (log.f64 (pow.f64 (exp.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))))))) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64)))))
(*.f64 (*.f64 (*.f64 J (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal -2 binary64))) (sqrt.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)))))))) (sqrt.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))))))))
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:

39.0ms
J
18.0ms
U
17.0ms
(*.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)))))
15.0ms
K
11.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
91.4%2J
88.5%1K
91.1%2U
99.5%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)))))
88.5%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
88.5%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 52 to 42 computations (19.2% saved)

regimes21.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J (/.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(*.f64 J (*.f64 (/.f64 #s(literal -1 binary64) J) U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J U)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) J))
(/.f64 (*.f64 (*.f64 J #s(literal 1/2 binary64)) (*.f64 U #s(literal -2 binary64))) J)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (neg.f64 U))) (neg.f64 J)))
(/.f64 (neg.f64 (pow.f64 U #s(literal 2 binary64))) U)
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
(*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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))))))
(fma.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 (pow.f64 U #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) J))))
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:

20.0ms
J
Results
AccuracySegmentsBranch
91.4%2J
Compiler

Compiled 4 to 3 computations (25% saved)

regimes40.0ms (0.3%)

Counts
20 → 2
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J (/.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(*.f64 J (*.f64 (/.f64 #s(literal -1 binary64) J) U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J U)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) J))
(/.f64 (*.f64 (*.f64 J #s(literal 1/2 binary64)) (*.f64 U #s(literal -2 binary64))) J)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (neg.f64 U))) (neg.f64 J)))
(/.f64 (neg.f64 (pow.f64 U #s(literal 2 binary64))) U)
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
(pow.f64 (cbrt.f64 (neg.f64 U)) #s(literal 3 binary64))
(*.f64 J (*.f64 (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 #s(literal -1 binary64) (*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
Outputs
(neg.f64 U)
(*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))
Calls

3 calls:

16.0ms
K
12.0ms
J
11.0ms
U
Results
AccuracySegmentsBranch
59.2%6K
65.5%2U
68.8%2J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes26.0ms (0.2%)

Counts
16 → 4
Calls
Call 1
Inputs
U
(neg.f64 U)
(*.f64 J (/.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) U))
(/.f64 J (/.f64 J U))
(/.f64 (*.f64 J U) J)
(*.f64 J (/.f64 (neg.f64 U) J))
(*.f64 J (*.f64 (/.f64 #s(literal -1 binary64) J) U))
(*.f64 (/.f64 #s(literal 1 binary64) J) (*.f64 U J))
(/.f64 #s(literal 1 binary64) (/.f64 J (*.f64 J U)))
(*.f64 J (*.f64 #s(literal 1/2 binary64) (*.f64 U (/.f64 #s(literal -2 binary64) J))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 J U)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) J) U) J))
(/.f64 (*.f64 (*.f64 J #s(literal 1/2 binary64)) (*.f64 U #s(literal -2 binary64))) J)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 J (neg.f64 U))) (neg.f64 J)))
(/.f64 (neg.f64 (pow.f64 U #s(literal 2 binary64))) U)
Outputs
(neg.f64 U)
U
(neg.f64 U)
U
Calls

3 calls:

13.0ms
K
6.0ms
J
6.0ms
U
Results
AccuracySegmentsBranch
43.9%4K
39.1%1U
39.1%1J
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

0.0ms
J
0.0ms
K
0.0ms
U
Results
AccuracySegmentsBranch
15.0%1J
15.0%1U
15.0%1K
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.8927217879287965e+305
+inf
0.0ms
-inf
-5.232195365619268e+305
Compiler

Compiled 33 to 27 computations (18.2% saved)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
2.901613755198845e-234
4.536941867266269e-232
Results
20.0ms112×0valid
Compiler

Compiled 250 to 202 computations (19.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-cos: 5.0ms (31.5% of total)
ival-mult: 4.0ms (25.2% of total)
ival-div: 2.0ms (12.6% of total)
ival-add: 2.0ms (12.6% of total)
ival-sqrt: 1.0ms (6.3% of total)
ival-pow: 1.0ms (6.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
3.0233978576736525e+20
5.513715388664443e+20
Results
13.0ms64×0valid
Compiler

Compiled 105 to 87 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-cos: 4.0ms (38.1% of total)
ival-mult: 3.0ms (28.6% of total)
ival-div: 1.0ms (9.5% of total)
ival-pow: 1.0ms (9.5% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch104.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
9.022091511683204e+205
5.062960468298303e+209
20.0ms
1.4470368980012536e+147
4.130693414044725e+147
46.0ms
1.3532406959996428e+27
2.833646493501331e+33
Results
85.0ms352×0valid
Compiler

Compiled 275 to 225 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-cos: 36.0ms (51.4% of total)
ival-mult: 16.0ms (22.8% of total)
ival-div: 8.0ms (11.4% of total)
ival-pow: 4.0ms (5.7% of total)
ival-sqrt: 3.0ms (4.3% of total)
ival-add: 2.0ms (2.9% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

simplify66.0ms (0.4%)

Algorithm
egg-herbie
Rules
13×*-commutative
not-or
if-if-or-not
1-exp
if-not
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061503
187503
292503
396501
497501
598501
Stop Event
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 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 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 2349285087062399/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 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 J #s(literal 500000000000000000000 binary64)) (neg.f64 U) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)))
(if (<=.f64 K #s(literal 36999999999999999117250002944 binary64)) (neg.f64 U) (if (<=.f64 K #s(literal 3600000000000000204708353338339018248542978458335855122671268200372967478681896027674155697219801649584544951359826276060678358751957882310263570432 binary64)) U (if (<=.f64 K #s(literal 279999999999999982374947854166028644258741762399744856753368499318036057890324474066154108647823898222559018139864148599274442876981379480826846919623065543913283593271488765349819361509780711396138572316672 binary64)) (neg.f64 U) 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 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 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 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 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 2349285087062399/55935359215771408602380437370458668927190896820645805721565331449826296885454890936221258331688727295760467791443358828270306368666158938868056691487430819571314207632771898637239846213826130422353593766077627436476426862513159342998747631067332608 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 J #s(literal 500000000000000000000 binary64)) (neg.f64 U) (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)))
(if (<=.f64 J #s(literal 500000000000000000000 binary64)) (neg.f64 U) (*.f64 #s(literal -2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(if (<=.f64 K #s(literal 36999999999999999117250002944 binary64)) (neg.f64 U) (if (<=.f64 K #s(literal 3600000000000000204708353338339018248542978458335855122671268200372967478681896027674155697219801649584544951359826276060678358751957882310263570432 binary64)) U (if (<=.f64 K #s(literal 279999999999999982374947854166028644258741762399744856753368499318036057890324474066154108647823898222559018139864148599274442876981379480826846919623065543913283593271488765349819361509780711396138572316672 binary64)) (neg.f64 U) U)))
(if (or (<=.f64 K #s(literal 36999999999999999117250002944 binary64)) (and (not (<=.f64 K #s(literal 3600000000000000204708353338339018248542978458335855122671268200372967478681896027674155697219801649584544951359826276060678358751957882310263570432 binary64))) (<=.f64 K #s(literal 279999999999999982374947854166028644258741762399744856753368499318036057890324474066154108647823898222559018139864148599274442876981379480826846919623065543913283593271488765349819361509780711396138572316672 binary64)))) (neg.f64 U) U)
U

soundness690.0ms (4.4%)

Rules
925×times-frac
499×distribute-lft-neg-in
489×associate-*r*
475×fma-neg
454×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052732858
1158431334
2617229908
082992
1202858
2657858
32308858
44451858
57260858
Stop Event
fuel
node limit
node limit
Compiler

Compiled 169 to 126 computations (25.4% saved)

preprocess217.0ms (1.4%)

Remove

(negabs J)

(abs K)

Compiler

Compiled 1682 to 1326 computations (21.2% saved)

end0.0ms (0%)

Profiling

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