Maksimov and Kolovsky, Equation (32)

Time bar (total: 1.8min)

analyze1.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 35 to 22 computations (37.1% saved)

sample1.8min (99.5%)

Results
3.4s7805×0valid-rival
3.8s7482×0valid-sollya
431.0ms451×1valid-rival
1.4s290×0exit-sollya
1.3s257×1exit-sollya
82.0ms177×1valid-sollya
237.0ms33×0invalid-sollya
250.0ms17×1invalid-sollya
Bogosity

preprocess297.0ms (0.3%)

Algorithm
egg-herbie
Rules
802×exp-sum
791×fma-neg
338×exp-diff
306×exp-prod
285×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02192686
15842642
216082542
358402534
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 (neg.f64 K) (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 (neg.f64 m) n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (neg.f64 m) n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m (neg.f64 n))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n)))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 (neg.f64 K) (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 (neg.f64 m) n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (neg.f64 m) n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n)))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m (neg.f64 n))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n))))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n)))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 m (+.f64 K n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 K n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 n (+.f64 m K)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m K))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 M (+.f64 m n)) #s(literal 2 binary64)) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) K) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 l (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 K (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 M n)) #s(literal 2 binary64)) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) #s(literal 2 binary64)) m) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 M n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 l n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 m (fabs.f64 (-.f64 l n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m M)) #s(literal 2 binary64)) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) #s(literal 2 binary64)) n) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m M))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m l)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 n (fabs.f64 (-.f64 m l))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) l) #s(literal 2 binary64))) (-.f64 M (fabs.f64 (-.f64 m n))))))
Outputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 (neg.f64 K) (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
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(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 n m) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 n m) #s(literal 2 binary64))) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (+.f64 m n)))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 n m) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m (neg.f64 n))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n)))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n)))))))
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(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (neg.f64 l)) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 (neg.f64 K) (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (/.f64 (+.f64 m n) #s(literal 2 binary64))) M))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l) (fabs.f64 (-.f64 n m)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))))) (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 (neg.f64 K) #s(literal 2 binary64))) M))))
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(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 (neg.f64 m) n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (neg.f64 m) n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n)))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 n m) #s(literal 2 binary64))) M)) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n)))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 n m) #s(literal 2 binary64))) M)) (neg.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (+.f64 m n))))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 n m) #s(literal 2 binary64))) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m (neg.f64 n))) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n))))))))
(*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 m n) #s(literal 2 binary64))) M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n)))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 m n) #s(literal 2 binary64))) M)) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (+.f64 m n)))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.f64 m n) #s(literal 2 binary64))) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) (neg.f64 M))) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n)))))))
(*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (neg.f64 l)) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (neg.f64 (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (neg.f64 (exp.f64 (-.f64 (+.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 m (+.f64 K n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 K n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 m (/.f64 (+.f64 K n) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 K n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 m (/.f64 (+.f64 K n) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 n (+.f64 m K)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m K))))))
(*.f64 (cos.f64 (-.f64 (*.f64 n (/.f64 (+.f64 K m) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m K))))))
(*.f64 (cos.f64 (-.f64 (*.f64 n (/.f64 (+.f64 K m) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m K)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 n (/.f64 (+.f64 K m) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 M (+.f64 m n)) #s(literal 2 binary64)) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) K) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) K) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (fma.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 K))) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) K) #s(literal 2 binary64))) l))))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 M #s(literal 2 binary64))) K)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) K) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 M #s(literal 2 binary64)) (neg.f64 K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) K) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 l (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 K (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 l (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 K (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (-.f64 (*.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) l) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 K (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 l #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) K) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 l #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) K) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 M n)) #s(literal 2 binary64)) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) #s(literal 2 binary64)) m) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 M n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n M) #s(literal 2 binary64))) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) #s(literal 2 binary64)) m) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 M n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n M) #s(literal 2 binary64))) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) #s(literal 2 binary64)) m) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n M))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n M) #s(literal 2 binary64))) m)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 M n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n M) #s(literal 2 binary64)) m) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 l n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 m (fabs.f64 (-.f64 l n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n l) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 m (fabs.f64 (-.f64 l n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 n l) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 l n)) m) (pow.f64 (-.f64 (/.f64 (+.f64 n l) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m M)) #s(literal 2 binary64)) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) #s(literal 2 binary64)) n) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m M))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m M) #s(literal 2 binary64))) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) #s(literal 2 binary64)) n) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m M))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m M) #s(literal 2 binary64))) n)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m M)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) #s(literal 2 binary64)) n) #s(literal 2 binary64))) l))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m M) #s(literal 2 binary64))) n)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m M)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m M) #s(literal 2 binary64)) n) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m l)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 n (fabs.f64 (-.f64 m l))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m l) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 n (fabs.f64 (-.f64 m l))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m l) #s(literal 2 binary64))) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m l)) n) (pow.f64 (-.f64 (/.f64 (+.f64 m l) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) l) #s(literal 2 binary64))) (-.f64 M (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) l)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) l) #s(literal 2 binary64))) M) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) l)) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) l) #s(literal 2 binary64))) M))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 l))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) M) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) l) #s(literal 2 binary64)))))
Symmetry

(sort m n)

Compiler

Compiled 34 to 21 computations (38.2% saved)

eval0.0ms (0%)

Compiler

Compiled 5 to 5 computations (0% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
Compiler

Compiled 68 to 42 computations (38.2% saved)

simplify123.0ms (0.1%)

Algorithm
egg-herbie
Rules
168×unsub-neg
88×neg-mul-1
69×distribute-lft-neg-in
54×distribute-neg-out
42×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030119
148119
270119
396115
4123115
5141115
6181115
7327115
8498115
9508115
10529115
11568115
12626115
13681115
14724115
15754115
16764115
17769115
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
Outputs
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))

soundness1.0ms (0%)

Stop Event
fuel
Compiler

Compiled 33 to 20 computations (39.4% saved)

preprocess97.0ms (0.1%)

Remove

(sort m n)

Compiler

Compiled 266 to 162 computations (39.1% saved)

end0.0ms (0%)

Profiling

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