Maksimov and Kolovsky, Equation (32)

Time bar (total: 50.0s)

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)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
ival-sub: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)

sample6.2s (12.4%)

Results
4.0s7831×0valid
550.0ms425×1valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-sub: 891.0ms (26.7% of total)
ival-mult: 475.0ms (14.2% of total)
ival-pow: 445.0ms (13.3% of total)
ival-div: 438.0ms (13.1% of total)
ival-exp: 279.0ms (8.3% of total)
ival-cos: 217.0ms (6.5% of total)
ival-add: 188.0ms (5.6% of total)
ival-neg: 169.0ms (5.1% of total)
ival-fabs: 169.0ms (5.1% of total)
const: 46.0ms (1.4% of total)
backward-pass: 26.0ms (0.8% of total)
Bogosity

preprocess380.0ms (0.8%)

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 (*.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)) (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)))))))
(*.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 n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (-.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)))))
(*.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))))
(*.f64 (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)))) (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal -1/2 binary64))) M))))
(*.f64 (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)))) (neg.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) M))))
(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)

explain1.7s (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
17045(5.361895358027304e-34 1.675542344115251e-82 1.3929188931197942e-18 6.503158516675968e+41 -5.094990888974694e-87)50(8.698232892012066e+237 2.7603961314792087e+60 1.2971190174668447e+251 1.3366095184536626e-57 -2.5005077734864465e-243)(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
00-0-M
00-0-l
00-0-#s(literal 2 binary64)
00-0-(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
00-0-(-.f64 m n)
048(4.113548556952323e-167 -4.581174247462603e-173 1.3446009753513447e-108 -3.984674902084109e-96 1.195353858672892e-236)0-(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
00-0-(*.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))))))
00-0-(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
00-0-(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)))))
00-0-n
00-0-(*.f64 K (+.f64 m n))
00-0-m
00-0-(fabs.f64 (-.f64 m n))
00-0-(+.f64 m n)
00-0-(-.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))))
00-0-(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
00-0-(-.f64 l (fabs.f64 (-.f64 m n)))
00-0-(/.f64 (+.f64 m n) #s(literal 2 binary64))
00-0-K
00-0-(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
Results
1.1s426×1valid
48.0ms86×0valid
Compiler

Compiled 342 to 65 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 437.0ms
ival-pow: 98.0ms (22.4% of total)
ival-mult: 68.0ms (15.5% of total)
ival-cos: 58.0ms (13.3% of total)
backward-pass: 44.0ms (10.1% of total)
ival-sub: 39.0ms (8.9% of total)
ival-div: 32.0ms (7.3% of total)
ival-fabs: 28.0ms (6.4% of total)
ival-exp: 26.0ms (5.9% of total)
ival-add: 24.0ms (5.5% of total)
const: 13.0ms (3% of total)
ival-neg: 7.0ms (1.6% of total)

eval1.0ms (0%)

Compiler

Compiled 91 to 32 computations (64.8% saved)

prune14.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(*.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 34 to 21 computations (38.2% saved)

localize973.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 K (+.f64 m n))
cost-diff0
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff64
(-.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))))
cost-diff64
(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)))))
accuracy100.0%
(*.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))))))
accuracy100.0%
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
accuracy100.0%
(*.f64 K (+.f64 m n))
accuracy39.5%
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
Rules
712×exp-sum
517×fma-define
358×associate-*r/
342×sub-neg
317×exp-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030598
161598
2135586
3403586
41413586
55466586
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))))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
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 (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 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(fabs.f64 (-.f64 m n))
(-.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 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 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)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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 (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 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M)))
(cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)
(fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M))
(fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))
(fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)))
(*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
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)))))
(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))))
(exp.f64 (+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l)))
(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))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)))
(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))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(-.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 (-.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 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l))
(-.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 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)
(-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)
(/.f64 (+.f64 m n) #s(literal 2 binary64))
(*.f64 (+.f64 m n) #s(literal 1/2 binary64))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (-.f64 n m)))
l
(fabs.f64 (-.f64 m n))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
Results
670.0ms213×1valid
14.0ms43×0valid
Compiler

Compiled 154 to 22 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 580.0ms
ival-cos: 277.0ms (47.7% of total)
ival-sub: 121.0ms (20.8% of total)
ival-mult: 119.0ms (20.5% of total)
ival-div: 20.0ms (3.4% of total)
backward-pass: 14.0ms (2.4% of total)
ival-pow: 11.0ms (1.9% of total)
ival-add: 6.0ms (1% of total)
ival-exp: 5.0ms (0.9% of total)
ival-neg: 4.0ms (0.7% of total)
ival-fabs: 4.0ms (0.7% of total)
const: 1.0ms (0.2% of total)

series299.0ms (0.6%)

Counts
7 → 300
Calls
Call 1
Inputs
#<alt (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))>
#<alt (*.f64 K (+.f64 m n))>
#<alt (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))>
#<alt (*.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))))))>
#<alt (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)))))>
#<alt (-.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))))>
#<alt (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))>
Outputs
#<alt (cos.f64 (neg.f64 M))>
#<alt (+.f64 (cos.f64 (neg.f64 M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))))>
#<alt (+.f64 (cos.f64 (neg.f64 M)) (*.f64 K (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))))>
#<alt (+.f64 (cos.f64 (neg.f64 M)) (*.f64 K (-.f64 (*.f64 K (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 K (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 m (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 m (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))))))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 m (-.f64 (*.f64 m (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 K #s(literal 3 binary64)) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))))))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 n (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (*.f64 n (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 n (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))))))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (*.f64 n (-.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 K #s(literal 3 binary64)) (*.f64 n (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))))))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (*.f64 M (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (*.f64 M (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (*.f64 M (-.f64 (*.f64 M (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))) (*.f64 #s(literal -1/6 binary64) (*.f64 M (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))>
#<alt (*.f64 K n)>
#<alt (+.f64 (*.f64 K m) (*.f64 K n))>
#<alt (+.f64 (*.f64 K m) (*.f64 K n))>
#<alt (+.f64 (*.f64 K m) (*.f64 K n))>
#<alt (*.f64 K m)>
#<alt (*.f64 m (+.f64 K (/.f64 (*.f64 K n) m)))>
#<alt (*.f64 m (+.f64 K (/.f64 (*.f64 K n) m)))>
#<alt (*.f64 m (+.f64 K (/.f64 (*.f64 K n) m)))>
#<alt (*.f64 K m)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K n) m)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K n) m)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K n) m)))))>
#<alt (*.f64 K m)>
#<alt (+.f64 (*.f64 K m) (*.f64 K n))>
#<alt (+.f64 (*.f64 K m) (*.f64 K n))>
#<alt (+.f64 (*.f64 K m) (*.f64 K n))>
#<alt (*.f64 K n)>
#<alt (*.f64 n (+.f64 K (/.f64 (*.f64 K m) n)))>
#<alt (*.f64 n (+.f64 K (/.f64 (*.f64 K m) n)))>
#<alt (*.f64 n (+.f64 K (/.f64 (*.f64 K m) n)))>
#<alt (*.f64 K n)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K m) n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K m) n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K m) n)))))>
#<alt (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))>
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#<alt (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))))>
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#<alt (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))))>
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#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) (pow.f64 M #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal -1 binary64) l)>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K n))>
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#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K n))>
#<alt (*.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K m) n))))>
#<alt (*.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K m) n))))>
#<alt (*.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K m) n))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K n))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K m) n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K m) n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K m) n)))))>
Calls

78 calls:

TimeVariablePointExpression
39.0ms
l
@inf
(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
33.0ms
m
@0
(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
25.0ms
M
@0
(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))
23.0ms
m
@-inf
(cos (- (/ (* K (+ m n)) 2) M))
20.0ms
K
@0
(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (- (neg (pow (- (/ (+ m n) 2) M) 2)) (- l (fabs (- m n))))))

rewrite1.5s (2.9%)

Algorithm
batch-egg-rewrite
Rules
432×log1p-expm1-u
240×expm1-log1p-u
238×add-cube-cbrt
235×add-exp-log
235×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030386
1497362
27681362
Stop Event
node limit
Counts
7 → 218
Calls
Call 1
Inputs
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(*.f64 K (+.f64 m n))
(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))))))
(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 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
Outputs
(+.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)))
(+.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)) (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)))
(+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))))) #s(literal 1 binary64))
(-.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 (neg.f64 M))) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 (neg.f64 M))))
(*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))) (sqrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)) (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M))) (-.f64 (*.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M))) (*.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)) (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M))) (*.f64 (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)))) (-.f64 (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M))))
(pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M)))
(+.f64 (*.f64 K n) (*.f64 K m))
(+.f64 (*.f64 K m) (*.f64 K n))
(+.f64 (*.f64 (*.f64 K m) #s(literal 1 binary64)) (*.f64 (*.f64 K n) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (+.f64 m n)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 K m) #s(literal 3 binary64)) (pow.f64 (*.f64 K n) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 K m) (*.f64 K m)) (-.f64 (*.f64 (*.f64 K n) (*.f64 K n)) (*.f64 (*.f64 K m) (*.f64 K n)))))
(/.f64 (-.f64 (*.f64 (*.f64 K m) (*.f64 K m)) (*.f64 (*.f64 K n) (*.f64 K n))) (-.f64 (*.f64 K m) (*.f64 K n)))
(/.f64 (*.f64 K (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (*.f64 K (-.f64 (pow.f64 m #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))) (-.f64 m n))
(/.f64 (*.f64 (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) K) (fma.f64 m m (*.f64 n (-.f64 n m))))
(/.f64 (*.f64 (-.f64 (pow.f64 m #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) K) (-.f64 m n))
(pow.f64 (*.f64 K (+.f64 m n)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 m n)) K))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 K (+.f64 m n)))))
(cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 K #s(literal 3 binary64)) (pow.f64 (+.f64 m n) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) (pow.f64 K #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 K (+.f64 m n))))
(log1p.f64 (expm1.f64 (*.f64 K (+.f64 m n))))
(exp.f64 (log.f64 (*.f64 K (+.f64 m n))))
(exp.f64 (*.f64 (log.f64 (*.f64 K (+.f64 m n))) #s(literal 1 binary64)))
(fma.f64 K m (*.f64 K n))
(fma.f64 m K (*.f64 K n))
(+.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (neg.f64 M)))
(+.f64 (*.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (*.f64 (neg.f64 M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))
(*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (neg.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(*.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64))) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (*.f64 (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))) (sqrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(*.f64 (neg.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M))
(*.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64))) (-.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))) (+.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))) (*.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64)))) (*.f64 (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M) (+.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64))) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (+.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 M (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) (fma.f64 (+.f64 m n) #s(literal 1/2 binary64) M))
(neg.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) (*.f64 (cos.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (cos.f64 M))) (*.f64 (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) (*.f64 (sin.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sin.f64 M))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 2 binary64)))) (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 l (-.f64 m n))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) (neg.f64 (-.f64 l (-.f64 m n)))) (*.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) #s(literal 3 binary64)) (pow.f64 (-.f64 m n) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) (-.f64 (pow.f64 (-.f64 m n) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 m n)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) (neg.f64 (-.f64 l (-.f64 m n))))) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) (pow.f64 (-.f64 m n) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 m n)))
(pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 2 binary64))
(neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n))))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(exp.f64 (log.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))
(*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)))
(*.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))
(*.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K)
(*.f64 #s(literal 1 binary64) (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 K) #s(literal 2 binary64)) (*.f64 (cbrt.f64 K) (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) (*.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) (/.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 K) (*.f64 (sqrt.f64 K) (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (*.f64 K (neg.f64 (+.f64 m n))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))
(*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (*.f64 K (sqrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 m n))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m n)) K)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify2.0s (4.1%)

Algorithm
egg-herbie
Rules
527×distribute-lft-in
526×distribute-rgt-in
381×*-commutative
276×associate-+l+
274×associate-+r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113046153
1334744794
Stop Event
node limit
Counts
518 → 612
Calls
Call 1
Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 K (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 K (-.f64 (*.f64 K (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 K (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 m (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 m (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))))))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 m (-.f64 (*.f64 m (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 K #s(literal 3 binary64)) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 n (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (*.f64 n (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 n (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))))))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (*.f64 n (-.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 K #s(literal 3 binary64)) (*.f64 n (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (*.f64 M (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (*.f64 M (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (*.f64 M (-.f64 (*.f64 M (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))) (*.f64 #s(literal -1/6 binary64) (*.f64 M (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))
(cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))
(*.f64 K n)
(+.f64 (*.f64 K m) (*.f64 K n))
(+.f64 (*.f64 K m) (*.f64 K n))
(+.f64 (*.f64 K m) (*.f64 K n))
(*.f64 K m)
(*.f64 m (+.f64 K (/.f64 (*.f64 K n) m)))
(*.f64 m (+.f64 K (/.f64 (*.f64 K n) m)))
(*.f64 m (+.f64 K (/.f64 (*.f64 K n) m)))
(*.f64 K m)
(*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K n) m)))))
(*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K n) m)))))
(*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) K) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 K n) m)))))
(*.f64 K m)
(+.f64 (*.f64 K m) (*.f64 K n))
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(*.f64 (cbrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) (pow.f64 (cbrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(*.f64 (sqrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) (sqrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(*.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (*.f64 (-.f64 l (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n)))))))
(*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n)))))
(*.f64 (+.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (sqrt.f64 (-.f64 l (-.f64 m n)))) (-.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (sqrt.f64 (-.f64 l (-.f64 m n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (*.f64 (-.f64 l (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n))))) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n))) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (*.f64 (-.f64 l (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n))))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (*.f64 (-.f64 l (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (pow.f64 (-.f64 l (-.f64 m n)) #s(literal 2 binary64)))) (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))
(/.f64 (+.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (-.f64 l (-.f64 m n))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) (neg.f64 (-.f64 l (-.f64 m n)))) (*.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) #s(literal 3 binary64)) (pow.f64 (-.f64 m n) #s(literal 3 binary64))) (+.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) (-.f64 (pow.f64 (-.f64 m n) #s(literal 2 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 m n)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64)) (*.f64 (neg.f64 (-.f64 l (-.f64 m n))) (neg.f64 (-.f64 l (-.f64 m n))))) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n)))))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) (pow.f64 (-.f64 m n) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l) (-.f64 m n)))
(pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 2 binary64))
(neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (-.f64 m n))))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(exp.f64 (log.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))) #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (neg.f64 (-.f64 l (-.f64 m n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))
(*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))
(*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)))
(*.f64 (*.f64 K (+.f64 m n)) #s(literal 1/2 binary64))
(*.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) K)
(*.f64 #s(literal 1 binary64) (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (pow.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 K) #s(literal 2 binary64)) (*.f64 (cbrt.f64 K) (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) (*.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) (/.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 K) (*.f64 (sqrt.f64 K) (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (*.f64 K (neg.f64 (+.f64 m n))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))
(*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(*.f64 (*.f64 K (sqrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) (sqrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))
(pow.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 m n))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal -2 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 m n)) K)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))))
(+.f64 (cos.f64 M) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n))))
(+.f64 (cos.f64 M) (*.f64 (*.f64 #s(literal -1/2 binary64) K) (neg.f64 (*.f64 (+.f64 m n) (sin.f64 M)))))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 K (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))))
(+.f64 (cos.f64 M) (*.f64 K (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 (cos.f64 M) (pow.f64 (+.f64 m n) #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n))))))
(+.f64 (cos.f64 M) (*.f64 K (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K (cos.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (+.f64 m n) (sin.f64 M)))))))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 K (-.f64 (*.f64 K (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 2 binary64)))) (*.f64 #s(literal 1/48 binary64) (*.f64 K (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))))
(+.f64 (cos.f64 M) (*.f64 K (+.f64 (*.f64 K (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 M) (pow.f64 (+.f64 m n) #s(literal 2 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 K (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 m n) #s(literal 3 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (sin.f64 M)) (+.f64 m n))))))
(+.f64 (cos.f64 M) (*.f64 K (fma.f64 K (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 M) (pow.f64 (+.f64 m n) #s(literal 2 binary64))) (*.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 K (neg.f64 (sin.f64 M))) (pow.f64 (+.f64 m n) #s(literal 3 binary64))))) (*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (+.f64 m n) (sin.f64 M)))))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 K m) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))))
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eval369.0ms (0.7%)

Compiler

Compiled 29133 to 3269 computations (88.8% saved)

prune559.0ms (1.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New60111612
Fresh000
Picked101
Done000
Total60211613
Accuracy
98.5%
Counts
613 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))
78.5%
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #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))))))
47.8%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
42.5%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
50.1%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
28.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
78.8%
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 m n))) 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))))))
78.1%
(*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 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))))))
69.2%
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
58.5%
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 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))))))
98.1%
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))))
Compiler

Compiled 654 to 436 computations (33.3% saved)

localize2.5s (5%)

Algorithm
egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))
cost-diff6336
(fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))
cost-diff6336
(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))
cost-diff12864
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))
cost-diff0
(*.f64 K n)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
cost-diff0
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)
cost-diff0
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
cost-diff0
(*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))
cost-diff0
(+.f64 m n)
cost-diff0
(*.f64 K (+.f64 m n))
cost-diff0
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff0
(exp.f64 (neg.f64 l))
cost-diff0
(+.f64 m n)
cost-diff0
(*.f64 K (+.f64 m n))
cost-diff0
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
cost-diff0
(-.f64 m n)
cost-diff0
(fabs.f64 (-.f64 m n))
cost-diff0
(neg.f64 M)
cost-diff64
(cos.f64 (neg.f64 M))
accuracy100.0%
(pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
accuracy100.0%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))
accuracy100.0%
(cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))
accuracy39.5%
(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))
accuracy100.0%
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
accuracy100.0%
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)
accuracy100.0%
(pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
accuracy54.8%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
accuracy100.0%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
accuracy100.0%
(exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
accuracy100.0%
(*.f64 K (+.f64 m n))
accuracy39.5%
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy100.0%
(exp.f64 (neg.f64 l))
accuracy100.0%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
accuracy100.0%
(*.f64 K (+.f64 m n))
accuracy39.5%
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
accuracy100.0%
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))))
accuracy100.0%
(cos.f64 (neg.f64 M))
accuracy100.0%
(+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))
accuracy100.0%
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))
Rules
905×exp-sum
660×fma-neg
390×sub-neg
377×unsub-neg
364×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0642087
11502087
23382083
310562083
448202083
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))))
(cos.f64 (neg.f64 M))
(neg.f64 M)
M
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
n
(+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))
l
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)
(*.f64 #s(literal 1/2 binary64) (+.f64 m n))
#s(literal 1/2 binary64)
(+.f64 m n)
#s(literal 2 binary64)
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 m #s(literal 2 binary64))
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
#s(literal 1/2 binary64)
(*.f64 K n)
K
n
M
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(-.f64 (fabs.f64 (-.f64 m n)) l)
(fabs.f64 (-.f64 m n))
(-.f64 m n)
m
l
(pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(-.f64 (*.f64 n #s(literal 1/2 binary64)) M)
(*.f64 n #s(literal 1/2 binary64))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))
(*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))
(fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))
K
(*.f64 (+.f64 m n) #s(literal 1/2 binary64))
(+.f64 m n)
m
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
(exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))
(+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))
(-.f64 m n)
(-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)
(pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)
#s(literal 2 binary64)
l
#s(literal 3 binary64)
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(neg.f64 M)
M
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(fabs.f64 (-.f64 m n))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
n
(+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))
(+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))
l
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M)
(fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M))
(*.f64 #s(literal 1/2 binary64) (+.f64 m n))
#s(literal 1/2 binary64)
(+.f64 m n)
#s(literal 2 binary64)
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M)) (exp.f64 (neg.f64 l)))
(/.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M)) (exp.f64 l))
(/.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 l))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M)))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)
(-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M)
(fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M))
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)))
(*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)))
(*.f64 K (+.f64 m n))
(*.f64 (+.f64 m n) K)
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M))) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M))
(cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M)))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)
(-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M)
(fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) (neg.f64 M))
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)))
(*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)))
(*.f64 K (+.f64 m n))
(*.f64 (+.f64 m n) K)
K
(+.f64 m n)
m
n
#s(literal 2 binary64)
M
(exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 m #s(literal 2 binary64))
#s(literal -1/4 binary64)
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 n K) (neg.f64 M))) (exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (fma.f64 n #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (fma.f64 K (*.f64 n #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (neg.f64 (fma.f64 n #s(literal -1/2 binary64) M)) #s(literal 2 binary64))))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 n K) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 n #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
(fma.f64 #s(literal 1/2 binary64) (*.f64 n K) (neg.f64 M))
(fma.f64 K (*.f64 n #s(literal 1/2 binary64)) (neg.f64 M))
(-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
(*.f64 n (*.f64 #s(literal 1/2 binary64) K))
#s(literal 1/2 binary64)
(*.f64 K n)
(*.f64 n K)
K
n
M
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (fma.f64 n #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (neg.f64 (fma.f64 n #s(literal -1/2 binary64) M)) #s(literal 2 binary64)))))
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(-.f64 (fabs.f64 (-.f64 n m)) (+.f64 l (pow.f64 (fma.f64 n #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (neg.f64 (fma.f64 n #s(literal -1/2 binary64) M)) #s(literal 2 binary64))))
(-.f64 (fabs.f64 (-.f64 m n)) l)
(-.f64 (fabs.f64 (-.f64 n m)) l)
(fabs.f64 (-.f64 m n))
(fabs.f64 (-.f64 n m))
(-.f64 m n)
m
l
(pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(pow.f64 (fma.f64 n #s(literal 1/2 binary64) (neg.f64 M)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fma.f64 n #s(literal -1/2 binary64) M)) #s(literal 2 binary64))
(-.f64 (*.f64 n #s(literal 1/2 binary64)) M)
(fma.f64 n #s(literal 1/2 binary64) (neg.f64 M))
(neg.f64 (fma.f64 n #s(literal -1/2 binary64) M))
(*.f64 n #s(literal 1/2 binary64))
#s(literal 2 binary64)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))
(*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l))))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 l n)))))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 n l)))))
(cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))
(cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l)))))
(cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 l n))))))
(cbrt.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 n l))))))
(*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))
(*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l))))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 l n)))))
(*.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M)) (exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 n l)))))
(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M))
(fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))
(-.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))) M)
(-.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)) M)
K
(*.f64 (+.f64 m n) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 m n))
(+.f64 m n)
m
n
#s(literal 1/2 binary64)
(neg.f64 M)
M
(exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))
(exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l)))
(exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 l n))))
(exp.f64 (+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 n l))))
(+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))
(+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l))
(+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 l n)))
(+.f64 m (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) (+.f64 n l)))
(-.f64 m n)
(-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)
(-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)) l)
(pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))
(-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M)
(fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M))
#s(literal 2 binary64)
l
#s(literal 3 binary64)
Results
1.6s213×1valid
144.0ms43×0valid
Compiler

Compiled 537 to 55 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 221.0ms (21.3% of total)
ival-cos: 221.0ms (21.3% of total)
ival-neg: 137.0ms (13.2% of total)
ival-sub: 128.0ms (12.3% of total)
backward-pass: 94.0ms (9.1% of total)
ival-pow: 84.0ms (8.1% of total)
ival-exp: 76.0ms (7.3% of total)
ival-add: 49.0ms (4.7% of total)
ival-fma: 9.0ms (0.9% of total)
ival-div: 6.0ms (0.6% of total)
ival-fabs: 5.0ms (0.5% of total)
ival-cbrt: 5.0ms (0.5% of total)
const: 2.0ms (0.2% of total)

series1.1s (2.1%)

Counts
24 → 690
Calls
Call 1
Inputs
#<alt (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))>
#<alt (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))>
#<alt (cos.f64 (neg.f64 M))>
#<alt (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))>
#<alt (exp.f64 (neg.f64 l))>
#<alt (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))>
#<alt (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))>
#<alt (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)>
#<alt (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))>
#<alt (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))>
#<alt (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))>
#<alt (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))>
#<alt (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))>
#<alt (neg.f64 M)>
#<alt (fabs.f64 (-.f64 m n))>
#<alt (-.f64 m n)>
#<alt (+.f64 m n)>
#<alt (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K n))>
#<alt (*.f64 K n)>
#<alt (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))>
Outputs
#<alt (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 m (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) m) (*.f64 #s(literal 1/2 binary64) n)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) m) (*.f64 #s(literal 1/2 binary64) n)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 n m))) (/.f64 M m)))>
#<alt (*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 n m)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64))))) (/.f64 M m)))>
#<alt (*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 n m)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64))))) (/.f64 M m)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 n m))) (/.f64 M m)))>
#<alt (*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) m))))>
#<alt (*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) m))))>
#<alt (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) m) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 n (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal 1/2 binary64) m)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 n (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal 1/2 binary64) m)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 m n))) (/.f64 M n)))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 m n)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))) (/.f64 M n)))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 m n)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))) (/.f64 M n)))>
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#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 m (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) M)))) M))))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 m (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 (+.f64 m n) #s(literal 2 binary64)) M)))) M))))>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (fabs.f64 (neg.f64 (+.f64 n (*.f64 #s(literal -1 binary64) m))))>
#<alt (fabs.f64 (neg.f64 (+.f64 n (*.f64 #s(literal -1 binary64) m))))>
#<alt (fabs.f64 (neg.f64 (+.f64 n (*.f64 #s(literal -1 binary64) m))))>
#<alt (fabs.f64 (neg.f64 (+.f64 n (*.f64 #s(literal -1 binary64) m))))>
#<alt (fabs.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)))>
#<alt (fabs.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)))>
#<alt (fabs.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)))>
#<alt (fabs.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)))>
#<alt (*.f64 #s(literal -1 binary64) n)>
#<alt m>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n m))))>
#<alt m>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (/.f64 n m) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (/.f64 n m) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (/.f64 n m) #s(literal 1 binary64))))>
#<alt m>
#<alt (+.f64 m (*.f64 #s(literal -1 binary64) n))>
#<alt (+.f64 m (*.f64 #s(literal -1 binary64) n))>
#<alt (+.f64 m (*.f64 #s(literal -1 binary64) n))>
#<alt (*.f64 #s(literal -1 binary64) n)>
#<alt (*.f64 n (-.f64 (/.f64 m n) #s(literal 1 binary64)))>
#<alt (*.f64 n (-.f64 (/.f64 m n) #s(literal 1 binary64)))>
#<alt (*.f64 n (-.f64 (/.f64 m n) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) n)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 m n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 m n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 m n)))))>
#<alt n>
#<alt m>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 n m)))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 n m)))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 n m)))>
#<alt m>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n m)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n m)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 n m)) #s(literal 1 binary64))))>
#<alt m>
#<alt n>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 m n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 m n)))>
#<alt (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 m n)))>
#<alt n>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 m n)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 m n)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 m n)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 K (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M K)) (*.f64 #s(literal 1/2 binary64) (+.f64 m n))))>
#<alt (*.f64 K (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M K)) (*.f64 #s(literal 1/2 binary64) (+.f64 m n))))>
#<alt (*.f64 K (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M K)) (*.f64 #s(literal 1/2 binary64) (+.f64 m n))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 m n)) (/.f64 M K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 m n)) (/.f64 M K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 m n)) (/.f64 M K))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) M)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) M)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) M)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K m))>
#<alt (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) m))) (/.f64 M m)))>
#<alt (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) m))) (/.f64 M m)))>
#<alt (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) m))) (/.f64 M m)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K m))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M) m)) (*.f64 #s(literal -1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M) m)) (*.f64 #s(literal -1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M) m)) (*.f64 #s(literal -1/2 binary64) K))))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) M)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) M)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) M)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K n))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K m) n))) (/.f64 M n)))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K m) n))) (/.f64 M n)))>
#<alt (*.f64 n (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) K) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K m) n))) (/.f64 M n)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K n))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M) n)) (*.f64 #s(literal -1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M) n)) (*.f64 #s(literal -1/2 binary64) K))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M) n)) (*.f64 #s(literal -1/2 binary64) K))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K (+.f64 m n)) M)) #s(literal 1 binary64)))>
#<alt (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K (+.f64 m n)) M)) #s(literal 1 binary64)))>
#<alt (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K (+.f64 m n)) M)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) M)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K (+.f64 m n)) M)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K (+.f64 m n)) M)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K (+.f64 m n)) M)))))>
Calls

204 calls:

TimeVariablePointExpression
170.0ms
l
@inf
(- (- (fabs (- m n)) l) (pow (- (* n 1/2) M) 2))
113.0ms
m
@inf
(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (neg l)))
82.0ms
m
@inf
(cbrt (* (cos (+ (* K (* (+ m n) 1/2)) (neg M))) (exp (+ (- m n) (- (pow (- (* (+ m n) 1/2) M) 2) l)))))
40.0ms
n
@-inf
(* (cos (- (/ (* K (+ m n)) 2) M)) (exp (* (pow m 2) -1/4)))
38.0ms
n
@-inf
(cbrt (* (cos (+ (* K (* (+ m n) 1/2)) (neg M))) (exp (+ (- m n) (- (pow (- (* (+ m n) 1/2) M) 2) l)))))

rewrite1.3s (2.5%)

Algorithm
batch-egg-rewrite
Rules
490×log1p-expm1-u
490×expm1-log1p-u
479×add-exp-log
479×add-log-exp
465×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061888
11131888
Stop Event
node limit
Counts
24 → 441
Calls
Call 1
Inputs
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))
(+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))
(cos.f64 (neg.f64 M))
(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
(pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)
(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M)))
(cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l)))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))
(pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(neg.f64 M)
(fabs.f64 (-.f64 m n))
(-.f64 m n)
(+.f64 m n)
(*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
(*.f64 K n)
(fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))))
(*.f64 (hypot.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) (sqrt.f64 l)) (hypot.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) (sqrt.f64 l)))
(/.f64 (+.f64 (pow.f64 l #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 6 binary64))) (fma.f64 l l (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 4 binary64)) (*.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 l #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 4 binary64))) (-.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(pow.f64 (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 l (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
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(log.f64 (pow.f64 (exp.f64 (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l))) (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 3 binary64)) (pow.f64 (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))))
(exp.f64 (+.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l) (log.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))))
(exp.f64 (*.f64 (+.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l) (log.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) M)
(-.f64 (exp.f64 (log1p.f64 (neg.f64 M))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 M))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 M)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 M)))
(*.f64 (sqrt.f64 (neg.f64 M)) (sqrt.f64 (neg.f64 M)))
(*.f64 #s(literal -1 binary64) M)
(pow.f64 (neg.f64 M) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (neg.f64 M)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (neg.f64 M)) #s(literal 2 binary64))
(log.f64 (exp.f64 (neg.f64 M)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 M))))
(cbrt.f64 (pow.f64 (neg.f64 M) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (neg.f64 M)))
(log1p.f64 (expm1.f64 (neg.f64 M)))
(exp.f64 (log.f64 (neg.f64 M)))
(exp.f64 (*.f64 (log.f64 (neg.f64 M)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fabs.f64 (-.f64 m n)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 m n)))
(*.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 m n))) #s(literal 2 binary64)) (cbrt.f64 (fabs.f64 (-.f64 m n))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 m n))) (sqrt.f64 (fabs.f64 (-.f64 m n))))
(pow.f64 (fabs.f64 (-.f64 m n)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fabs.f64 (-.f64 m n))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 m n))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 m n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fabs.f64 (-.f64 m n))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fabs.f64 (-.f64 m n)))))
(cbrt.f64 (pow.f64 (fabs.f64 (-.f64 m n)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (-.f64 m n))))
(log1p.f64 (expm1.f64 (fabs.f64 (-.f64 m n))))
(exp.f64 (log.f64 (fabs.f64 (-.f64 m n))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 m n))) #s(literal 1 binary64)))
(+.f64 m (neg.f64 n))
(+.f64 (-.f64 m n) (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n))
(+.f64 (fma.f64 #s(literal 1 binary64) m (neg.f64 (*.f64 n #s(literal 1 binary64)))) (fma.f64 (neg.f64 n) #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) m (neg.f64 (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) (neg.f64 (*.f64 n #s(literal 1 binary64)))) (fma.f64 (neg.f64 n) #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) (neg.f64 (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (*.f64 n #s(literal 1 binary64)))) (fma.f64 (neg.f64 n) #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 m n))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m n)))
(*.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)))
(/.f64 (-.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 m m (fma.f64 n n (*.f64 m n))))
(/.f64 (-.f64 (pow.f64 m #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (+.f64 m n))
(pow.f64 (-.f64 m n) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 m n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 m n)) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 m n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 m n))))
(cbrt.f64 (pow.f64 (-.f64 m n) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 m n)))
(log1p.f64 (expm1.f64 (-.f64 m n)))
(exp.f64 (log.f64 (-.f64 m n)))
(exp.f64 (*.f64 (log.f64 (-.f64 m n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) m (neg.f64 n))
(fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) (neg.f64 n))
(fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 n))
(-.f64 (exp.f64 (log1p.f64 (+.f64 m n))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 m n))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 m n)))
(*.f64 (sqrt.f64 (+.f64 m n)) (sqrt.f64 (+.f64 m n)))
(/.f64 (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 m m (-.f64 (pow.f64 n #s(literal 2 binary64)) (*.f64 m n))))
(/.f64 (-.f64 (pow.f64 m #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (-.f64 m n))
(pow.f64 (+.f64 m n) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 m n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 m n)) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 m n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 m n))))
(cbrt.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 m n)))
(log1p.f64 (expm1.f64 (+.f64 m n)))
(exp.f64 (log.f64 (+.f64 m n)))
(exp.f64 (*.f64 (log.f64 (+.f64 m n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) m n)
(fma.f64 #s(literal 1 binary64) n m)
(fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) n)
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) m)
(fma.f64 (sqrt.f64 m) (sqrt.f64 m) n)
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) m)
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 K) n) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n K))) #s(literal 1 binary64))
(pow.f64 (*.f64 n K) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 n K)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 n K) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 n K)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 K) n))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 n K))))
(cbrt.f64 (pow.f64 (*.f64 n K) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 K #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 K #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 n K)))
(log1p.f64 (expm1.f64 (*.f64 n K)))
(exp.f64 (log.f64 (*.f64 n K)))
(exp.f64 (*.f64 (log.f64 (*.f64 n K)) #s(literal 1 binary64)))
(+.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))) (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(*.f64 (sqrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (sqrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))))
(cbrt.f64 (pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(log1p.f64 (expm1.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(exp.f64 (log.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(exp.f64 (*.f64 (log.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 1 binary64)))

simplify3.3s (6.7%)

Algorithm
egg-herbie
Rules
752×*-commutative
412×+-commutative
277×sub-neg
266×fma-neg
265×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0223164424584065
1618164424582264
Stop Event
node limit
Counts
1131 → 1102
Calls
Call 1
Inputs
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))
(+.f64 (*.f64 m (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(+.f64 (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) m) (*.f64 #s(literal 1/2 binary64) n)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(+.f64 (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) m) (*.f64 #s(literal 1/2 binary64) n)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 m #s(literal 2 binary64)))
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#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) l))
(+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64))))
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(exp.f64 (*.f64 #s(literal -1 binary64) l))
(exp.f64 (*.f64 #s(literal -1 binary64) l))
(exp.f64 (*.f64 #s(literal -1 binary64) l))
(exp.f64 (*.f64 #s(literal -1 binary64) l))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 m #s(literal 2 binary64))) #s(literal 1/4 binary64))))
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(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
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(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))
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(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
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(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
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(+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 n (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))))))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))
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(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
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(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
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(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
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(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))
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(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 n (sin.f64 (neg.f64 M))))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 M))))
(cbrt.f64 (pow.f64 (neg.f64 M) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (neg.f64 M)))
(log1p.f64 (expm1.f64 (neg.f64 M)))
(exp.f64 (log.f64 (neg.f64 M)))
(exp.f64 (*.f64 (log.f64 (neg.f64 M)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fabs.f64 (-.f64 m n)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 m n)))
(*.f64 (pow.f64 (cbrt.f64 (fabs.f64 (-.f64 m n))) #s(literal 2 binary64)) (cbrt.f64 (fabs.f64 (-.f64 m n))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 m n))) (sqrt.f64 (fabs.f64 (-.f64 m n))))
(pow.f64 (fabs.f64 (-.f64 m n)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fabs.f64 (-.f64 m n))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 m n))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fabs.f64 (-.f64 m n)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(log.f64 (exp.f64 (fabs.f64 (-.f64 m n))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fabs.f64 (-.f64 m n)))))
(cbrt.f64 (pow.f64 (fabs.f64 (-.f64 m n)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fabs.f64 (-.f64 m n))))
(log1p.f64 (expm1.f64 (fabs.f64 (-.f64 m n))))
(exp.f64 (log.f64 (fabs.f64 (-.f64 m n))))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (-.f64 m n))) #s(literal 1 binary64)))
(+.f64 m (neg.f64 n))
(+.f64 (-.f64 m n) (fma.f64 (neg.f64 (sqrt.f64 n)) (sqrt.f64 n) n))
(+.f64 (fma.f64 #s(literal 1 binary64) m (neg.f64 (*.f64 n #s(literal 1 binary64)))) (fma.f64 (neg.f64 n) #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) m (neg.f64 (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) (neg.f64 (*.f64 n #s(literal 1 binary64)))) (fma.f64 (neg.f64 n) #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) (neg.f64 (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (*.f64 n #s(literal 1 binary64)))) (fma.f64 (neg.f64 n) #s(literal 1 binary64) (*.f64 n #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 m n))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m n)))
(*.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)))
(/.f64 (-.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 m m (fma.f64 n n (*.f64 m n))))
(/.f64 (-.f64 (pow.f64 m #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (+.f64 m n))
(pow.f64 (-.f64 m n) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 m n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 m n)) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 m n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 m n))))
(cbrt.f64 (pow.f64 (-.f64 m n) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 m n)))
(log1p.f64 (expm1.f64 (-.f64 m n)))
(exp.f64 (log.f64 (-.f64 m n)))
(exp.f64 (*.f64 (log.f64 (-.f64 m n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) m (neg.f64 n))
(fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) (neg.f64 n))
(fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 n))
(-.f64 (exp.f64 (log1p.f64 (+.f64 m n))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 m n))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 m n)))
(*.f64 (sqrt.f64 (+.f64 m n)) (sqrt.f64 (+.f64 m n)))
(/.f64 (+.f64 (pow.f64 m #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 m m (-.f64 (pow.f64 n #s(literal 2 binary64)) (*.f64 m n))))
(/.f64 (-.f64 (pow.f64 m #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))) (-.f64 m n))
(pow.f64 (+.f64 m n) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 m n)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 m n)) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 m n)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 m n))))
(cbrt.f64 (pow.f64 (+.f64 m n) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 m n)))
(log1p.f64 (expm1.f64 (+.f64 m n)))
(exp.f64 (log.f64 (+.f64 m n)))
(exp.f64 (*.f64 (log.f64 (+.f64 m n)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) m n)
(fma.f64 #s(literal 1 binary64) n m)
(fma.f64 (cbrt.f64 (pow.f64 m #s(literal 2 binary64))) (cbrt.f64 m) n)
(fma.f64 (pow.f64 (cbrt.f64 n) #s(literal 2 binary64)) (cbrt.f64 n) m)
(fma.f64 (sqrt.f64 m) (sqrt.f64 m) n)
(fma.f64 (sqrt.f64 n) (sqrt.f64 n) m)
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/2 binary64)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) #s(literal 2 binary64))
(log.f64 (pow.f64 (pow.f64 (exp.f64 K) n) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n K))) #s(literal 1 binary64))
(pow.f64 (*.f64 n K) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 n K)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 n K) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 n K)) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 K) n))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 n K))))
(cbrt.f64 (pow.f64 (*.f64 n K) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 K #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 K #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 n K)))
(log1p.f64 (expm1.f64 (*.f64 n K)))
(exp.f64 (log.f64 (*.f64 n K)))
(exp.f64 (*.f64 (log.f64 (*.f64 n K)) #s(literal 1 binary64)))
(+.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))) (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(*.f64 (sqrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (sqrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 2 binary64))
(log.f64 (exp.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))))
(cbrt.f64 (pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(log1p.f64 (expm1.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(exp.f64 (log.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(exp.f64 (*.f64 (log.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 1 binary64)))
Outputs
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))
(+.f64 (*.f64 m (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(fma.f64 m (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(+.f64 (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) m) (*.f64 #s(literal 1/2 binary64) n)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(fma.f64 m (-.f64 (fma.f64 #s(literal 1/4 binary64) m (*.f64 #s(literal 1/2 binary64) n)) M) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(+.f64 (*.f64 m (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) m) (*.f64 #s(literal 1/2 binary64) n)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(fma.f64 m (-.f64 (fma.f64 #s(literal 1/4 binary64) m (*.f64 #s(literal 1/2 binary64) n)) M) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 m #s(literal 2 binary64)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 n m))) (/.f64 M m)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 n m)) (/.f64 M m))))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 n m)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64))))) (/.f64 M m)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64)))) (/.f64 M m))))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 n m)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64))))) (/.f64 M m)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 n m) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64)))) (/.f64 M m))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 m #s(literal 2 binary64)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 n m))) (/.f64 M m)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 n m)) (/.f64 M m))))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) m))))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) m))))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m)) m)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) m))))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) m))))
(*.f64 (pow.f64 m #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m)) m)))
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64))
(+.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) m) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))
(fma.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))
(+.f64 (*.f64 n (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal 1/2 binary64) m)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))
(fma.f64 n (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal 1/2 binary64) m)) M) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))
(+.f64 (*.f64 n (-.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal 1/2 binary64) m)) M)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))
(fma.f64 n (-.f64 (fma.f64 #s(literal 1/4 binary64) n (*.f64 #s(literal 1/2 binary64) m)) M) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) m) M) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 m n))) (/.f64 M n)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 m n)) (/.f64 M n))))
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#s(literal 1 binary64)
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(exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(pow.f64 (cbrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 3 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(pow.f64 (pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(pow.f64 (sqrt.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(log.f64 (exp.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(cbrt.f64 (pow.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)) #s(literal 3 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(expm1.f64 (log1p.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))))
(log1p.f64 (expm1.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(exp.f64 (log.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))
(exp.f64 (*.f64 (log.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K) (neg.f64 M))

eval1.4s (2.8%)

Compiler

Compiled 68939 to 8253 computations (88% saved)

prune1.9s (3.9%)

Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New1702271729
Fresh606
Picked505
Done000
Total1713271740
Accuracy
98.5%
Counts
1740 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l))))) #s(literal 3 binary64)) #s(literal 3 binary64))
28.7%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (neg.f64 l)))) #s(literal 3 binary64))
8.5%
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))))
14.7%
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))))
32.3%
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) K) m) M)))
28.3%
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
28.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
24.8%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 n (+.f64 K (*.f64 K (/.f64 m n)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
8.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
11.5%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
10.5%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
26.9%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (*.f64 m (+.f64 (/.f64 n m) #s(literal 1 binary64)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
46.2%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K m) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
29.0%
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
28.7%
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
42.6%
(*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
28.3%
(*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) M)) (exp.f64 (neg.f64 l)))
49.8%
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
52.0%
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
30.4%
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
22.7%
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (neg.f64 l)))
62.5%
(*.f64 (cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
97.4%
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
55.0%
(*.f64 (cos.f64 M) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
34.3%
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
8.9%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
8.9%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
Compiler

Compiled 1292 to 888 computations (31.3% saved)

localize2.6s (5.2%)

Algorithm
egg-herbie
Localize:

Found 40 expressions of interest:

NewMetricScoreProgram
cost-diff12864
(/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64))
cost-diff12864
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)
cost-diff12864
(cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M))
cost-diff12928
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
cost-diff0
(*.f64 #s(literal -1/2 binary64) K)
cost-diff0
(*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
cost-diff0
(*.f64 n K)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))
cost-diff0
(neg.f64 l)
cost-diff0
(exp.f64 (neg.f64 l))
cost-diff64
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
cost-diff-6336
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
cost-diff-6336
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
cost-diff0
(*.f64 n K)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
cost-diff0
(exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
cost-diff0
(neg.f64 M)
cost-diff64
(cos.f64 (neg.f64 M))
cost-diff64
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
accuracy100.0%
(*.f64 K (+.f64 m n))
accuracy99.2%
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64))
accuracy76.8%
(cbrt.f64 (*.f64 K (+.f64 m n)))
accuracy39.5%
(cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M))
accuracy99.7%
(*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))
accuracy99.3%
(*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
accuracy54.8%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
accuracy54.4%
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
accuracy100.0%
(exp.f64 (neg.f64 l))
accuracy100.0%
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
accuracy100.0%
(*.f64 (+.f64 n m) K)
accuracy40.3%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))
accuracy100.0%
(*.f64 n K)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
accuracy100.0%
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
accuracy54.8%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
accuracy100.0%
(cos.f64 (neg.f64 M))
accuracy100.0%
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
accuracy100.0%
(-.f64 (-.f64 m n) l)
accuracy100.0%
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))
Rules
426×fma-neg
370×cancel-sign-sub-inv
327×exp-prod
321×exp-sum
310×associate--l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0521217
11101213
22711205
37251205
422971205
579421205
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(cos.f64 (neg.f64 M))
(neg.f64 M)
M
(exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(-.f64 (-.f64 m n) l)
(-.f64 m n)
m
n
l
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) n) M)
(*.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
#s(literal 1/2 binary64)
(*.f64 n K)
n
K
M
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))
#s(literal 1/2 binary64)
(*.f64 (+.f64 n m) K)
(+.f64 n m)
n
m
K
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
#s(literal 1/2 binary64)
(*.f64 n K)
n
K
M
(*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
(*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))
m
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64))
(cbrt.f64 (*.f64 K (+.f64 m n)))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 3 binary64)
#s(literal 2 binary64)
M
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 (+.f64 n l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (+.f64 n l)))))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(neg.f64 M)
M
(exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(exp.f64 (-.f64 (-.f64 m n) (+.f64 l (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(exp.f64 (-.f64 m (+.f64 (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (+.f64 n l))))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(-.f64 (-.f64 m n) (+.f64 l (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(-.f64 m (+.f64 (+.f64 n l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))))
(-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))
(-.f64 m (+.f64 (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) (+.f64 n l)))
(-.f64 (-.f64 m n) l)
(-.f64 m (+.f64 n l))
(-.f64 m n)
m
n
l
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))
(pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal 1/2 binary64) n) M)
(-.f64 (*.f64 n #s(literal 1/2 binary64)) M)
(*.f64 #s(literal 1/2 binary64) n)
(*.f64 n #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 2 binary64)
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M))
(cos.f64 (fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
(-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)
(fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
(*.f64 n (*.f64 #s(literal 1/2 binary64) K))
#s(literal 1/2 binary64)
(*.f64 n K)
n
K
M
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) K) (+.f64 m n))))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 l))
(/.f64 (cos.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K))) (exp.f64 l))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))
(cos.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) K) (+.f64 m n)))
(cos.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))
(*.f64 (*.f64 #s(literal 1/2 binary64) K) (+.f64 m n))
(*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K))
#s(literal 1/2 binary64)
(*.f64 (+.f64 n m) K)
(*.f64 K (+.f64 m n))
(+.f64 n m)
(+.f64 m n)
n
m
K
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (*.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 m K) (sin.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M))) (cos.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)))
(fma.f64 m (*.f64 K (*.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)))) (cos.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)))
(fma.f64 m (*.f64 K (*.f64 #s(literal -1/2 binary64) (sin.f64 (fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))))) (cos.f64 (fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M))
(cos.f64 (fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
(-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)
(fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
(*.f64 n (*.f64 #s(literal 1/2 binary64) K))
#s(literal 1/2 binary64)
(*.f64 n K)
n
K
M
(*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
(*.f64 (*.f64 K #s(literal -1/2 binary64)) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 m K) (sin.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M))))
(*.f64 K (*.f64 #s(literal -1/2 binary64) (*.f64 m (sin.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)))))
(*.f64 (sin.f64 (fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))) (*.f64 m (*.f64 K #s(literal -1/2 binary64))))
(*.f64 K (*.f64 m (*.f64 #s(literal -1/2 binary64) (sin.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)))))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))
(*.f64 m (sin.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M)))
(*.f64 m (sin.f64 (fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))))
m
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(sin.f64 (-.f64 (*.f64 n (*.f64 #s(literal 1/2 binary64) K)) M))
(sin.f64 (fma.f64 n (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M)))
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)))
(/.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 l))
(/.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M)) (exp.f64 l))
(cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M))
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M))
(cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M))
(cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)
(-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)
(-.f64 (*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64))) M)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64))
(*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)))
(*.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64))
(*.f64 K (+.f64 m n))
(cbrt.f64 (*.f64 K (+.f64 m n)))
(*.f64 K (+.f64 m n))
K
(+.f64 m n)
m
n
#s(literal 3 binary64)
#s(literal 2 binary64)
M
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
Results
1.7s213×1valid
69.0ms43×0valid
Compiler

Compiled 330 to 44 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 791.0ms
ival-mult: 257.0ms (32.5% of total)
ival-cos: 151.0ms (19.1% of total)
ival-sub: 96.0ms (12.1% of total)
ival-sin: 63.0ms (8% of total)
ival-pow: 58.0ms (7.3% of total)
backward-pass: 54.0ms (6.8% of total)
ival-cbrt: 38.0ms (4.8% of total)
ival-exp: 25.0ms (3.2% of total)
ival-neg: 21.0ms (2.7% of total)
ival-add: 19.0ms (2.4% of total)
ival-div: 6.0ms (0.8% of total)
const: 2.0ms (0.3% of total)

series1.2s (2.4%)

Counts
23 → 844
Calls
Call 1
Inputs
#<alt (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))>
#<alt (-.f64 (-.f64 m n) l)>
#<alt (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 n K))>
#<alt (*.f64 n K)>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))>
#<alt (*.f64 (+.f64 n m) K)>
#<alt (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))>
#<alt (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))>
#<alt (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))>
#<alt (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M))>
#<alt (cbrt.f64 (*.f64 K (+.f64 m n)))>
#<alt (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64))>
#<alt (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))>
#<alt (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))>
#<alt (neg.f64 l)>
#<alt (*.f64 #s(literal -1/2 binary64) K)>
#<alt (*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))>
#<alt (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)>
#<alt (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64))>
Outputs
#<alt (pow.f64 M #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (pow.f64 M #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/4 binary64) n))) (pow.f64 M #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/4 binary64) n))) (pow.f64 M #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 M n))))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 M n))))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))) n))))>
#<alt (*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))) n))))>
#<alt (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n))))>
#<alt (pow.f64 M #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))>
#<alt (pow.f64 M #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) M))) M))))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) M))) M))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 l n))>
#<alt (-.f64 m (+.f64 l n))>
#<alt (-.f64 m (+.f64 l n))>
#<alt (-.f64 m (+.f64 l n))>
#<alt m>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l n) m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l n) m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l n) m))))>
#<alt m>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (/.f64 n m)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (/.f64 n m)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (/.f64 n m)) #s(literal 1 binary64))))>
#<alt (-.f64 m l)>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)) l)>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)) l)>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)) l)>
#<alt (*.f64 #s(literal -1 binary64) n)>
#<alt (*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (/.f64 l n))))>
#<alt (*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (/.f64 l n))))>
#<alt (*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (/.f64 l n))))>
#<alt (*.f64 #s(literal -1 binary64) n)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m l) n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m l) n)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m l) n)))))>
#<alt (-.f64 m n)>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) n)>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) n)>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) n)>
#<alt (*.f64 #s(literal -1 binary64) l)>
#<alt (*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (/.f64 n l))))>
#<alt (*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (/.f64 n l))))>
#<alt (*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (/.f64 n l))))>
#<alt (*.f64 #s(literal -1 binary64) l)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m n) l)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m n) l)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m n) l)))))>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 l (+.f64 n (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))>
#<alt (-.f64 m (+.f64 l (+.f64 n (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))>
#<alt (-.f64 m (+.f64 l (+.f64 n (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))>
#<alt (-.f64 m (+.f64 l (+.f64 n (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))>
#<alt m>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) m))))>
#<alt m>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) m))) #s(literal 1 binary64))))>
#<alt (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 m (*.f64 n (-.f64 (*.f64 #s(literal -1/4 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))>
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Calls

216 calls:

TimeVariablePointExpression
353.0ms
m
@0
(* (* -1/2 K) (* m (sin (- (* 1/2 (* n K)) M))))
166.0ms
n
@-inf
(* n K)
121.0ms
m
@inf
(* (cos (neg M)) (exp (- (- (- m n) l) (pow (- (* 1/2 n) M) 2))))
80.0ms
n
@inf
(- (/ (pow (cbrt (* K (+ m n))) 3) 2) M)
63.0ms
n
@inf
(* (* -1/2 K) (* m (sin (- (* 1/2 (* n K)) M))))

rewrite1.1s (2.3%)

Algorithm
batch-egg-rewrite
Rules
380×log1p-expm1-u
380×expm1-log1p-u
376×add-cube-cbrt
374×add-exp-log
373×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051778
1896778
Stop Event
node limit
Counts
23 → 446
Calls
Call 1
Inputs
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))
(-.f64 (-.f64 m n) l)
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
(*.f64 #s(literal 1/2 binary64) (*.f64 n K))
(*.f64 n K)
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K)))
(*.f64 (+.f64 n m) K)
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
(*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))
(cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M))
(cbrt.f64 (*.f64 K (+.f64 m n)))
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(neg.f64 l)
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)
(/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M))) #s(literal 1 binary64)))
(+.f64 (-.f64 m n) (neg.f64 l))
(+.f64 (-.f64 m (+.f64 n l)) (fma.f64 (neg.f64 (sqrt.f64 l)) (sqrt.f64 l) l))
(+.f64 (fma.f64 #s(literal 1 binary64) (-.f64 m n) (neg.f64 (*.f64 l #s(literal 1 binary64)))) (fma.f64 (neg.f64 l) #s(literal 1 binary64) (*.f64 l #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (-.f64 m n) (neg.f64 (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m n)) (neg.f64 (*.f64 l #s(literal 1 binary64)))) (fma.f64 (neg.f64 l) #s(literal 1 binary64) (*.f64 l #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m n)) (neg.f64 (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (neg.f64 (*.f64 l #s(literal 1 binary64)))) (fma.f64 (neg.f64 l) #s(literal 1 binary64) (*.f64 l #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (neg.f64 (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)) (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 m (+.f64 n l)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m (+.f64 n l))))
(*.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) (sqrt.f64 (-.f64 m (+.f64 n l))))
(/.f64 (-.f64 (pow.f64 (-.f64 m n) #s(literal 2 binary64)) (pow.f64 l #s(literal 2 binary64))) (+.f64 (-.f64 m n) l))
(/.f64 (-.f64 (pow.f64 (-.f64 m n) #s(literal 3 binary64)) (pow.f64 l #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 m n) #s(literal 2 binary64)) (fma.f64 l l (*.f64 (-.f64 m n) l))))
(pow.f64 (-.f64 m (+.f64 n l)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 m (+.f64 n l)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 m (+.f64 n l))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 m (+.f64 n l)))))
(cbrt.f64 (pow.f64 (-.f64 m (+.f64 n l)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 m (+.f64 n l))))
(log1p.f64 (expm1.f64 (-.f64 m (+.f64 n l))))
(exp.f64 (log.f64 (-.f64 m (+.f64 n l))))
(exp.f64 (*.f64 (log.f64 (-.f64 m (+.f64 n l))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) m (neg.f64 (+.f64 n l)))
(fma.f64 #s(literal 1 binary64) (-.f64 m n) (neg.f64 l))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m n)) (neg.f64 l))
(fma.f64 (pow.f64 (cbrt.f64 m) #s(literal 2 binary64)) (cbrt.f64 m) (neg.f64 (+.f64 n l)))
(fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (neg.f64 l))
(fma.f64 (sqrt.f64 m) (sqrt.f64 m) (neg.f64 (+.f64 n l)))
(+.f64 (-.f64 m (+.f64 n l)) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(+.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))) (fma.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(+.f64 #s(literal 0 binary64) (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (-.f64 m (+.f64 n l)) (neg.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (-.f64 m (+.f64 n l)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m (+.f64 n l))) (neg.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m (+.f64 n l))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) (sqrt.f64 (-.f64 m (+.f64 n l))) (neg.f64 (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) (sqrt.f64 (-.f64 m (+.f64 n l))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))))
(*.f64 #s(literal 1 binary64) (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 m (+.f64 n l)) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64))) (+.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 m (+.f64 n l)) #s(literal 3 binary64)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 m (+.f64 n l)) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 4 binary64)) (*.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))))
(pow.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (-.f64 m (+.f64 n l)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 m n) (neg.f64 (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (-.f64 m (+.f64 n l)) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 m (+.f64 n l))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m (+.f64 n l))) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 m n)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (-.f64 m (+.f64 n l))) (sqrt.f64 (-.f64 m (+.f64 n l))) (neg.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 m n)) (sqrt.f64 (-.f64 m n)) (neg.f64 (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) (sin.f64 M)))
(-.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) (cos.f64 M)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K))) (sin.f64 (neg.f64 M))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
(*.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) (sqrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))))
(pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 2 binary64))
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(-.f64 (exp.f64 (log1p.f64 (neg.f64 l))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 l))
(*.f64 (pow.f64 (cbrt.f64 (neg.f64 l)) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 l)))
(*.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)))
(*.f64 #s(literal -1 binary64) l)
(pow.f64 (neg.f64 l) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (neg.f64 l)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (neg.f64 l)) #s(literal 2 binary64))
(log.f64 (exp.f64 (neg.f64 l)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 l))))
(cbrt.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (neg.f64 l)))
(log1p.f64 (expm1.f64 (neg.f64 l)))
(exp.f64 (log.f64 (neg.f64 l)))
(exp.f64 (*.f64 (log.f64 (neg.f64 l)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 K #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 K #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 K) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 K #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 K #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 K #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 K #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 K #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))) #s(literal 2 binary64))
(log.f64 (pow.f64 (exp.f64 (exp.f64 (neg.f64 l))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))))
(exp.f64 (+.f64 (neg.f64 l) (log.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))))
(exp.f64 (*.f64 (+.f64 (neg.f64 l) (log.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 M))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) (fma.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M) M))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) M))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 2 binary64)) (fma.f64 M M (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 M))
(fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 M))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 n m))) #s(literal -1 binary64))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 n m)) K)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 1 binary64)))

simplify3.4s (6.8%)

Algorithm
egg-herbie
Rules
781×*-commutative
406×+-commutative
314×associate-*r*
211×sub-neg
202×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0217825769869374
1604525769868824
Stop Event
node limit
Counts
1290 → 1111
Calls
Call 1
Inputs
(pow.f64 M #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (pow.f64 M #s(literal 2 binary64)))
(+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/4 binary64) n))) (pow.f64 M #s(literal 2 binary64)))
(+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/4 binary64) n))) (pow.f64 M #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 M n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 M n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))) n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))) n))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n))))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) M))) M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) M))) M))))
(*.f64 #s(literal -1 binary64) (+.f64 l n))
(-.f64 m (+.f64 l n))
(-.f64 m (+.f64 l n))
(-.f64 m (+.f64 l n))
m
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l n) m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l n) m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l n) m))))
m
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (/.f64 n m)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (/.f64 n m)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (/.f64 n m)) #s(literal 1 binary64))))
(-.f64 m l)
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)) l)
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)) l)
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) n)) l)
(*.f64 #s(literal -1 binary64) n)
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (/.f64 l n))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (/.f64 l n))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (/.f64 l n))))
(*.f64 #s(literal -1 binary64) n)
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(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m l) n)))))
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(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 l)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))))
(exp.f64 (+.f64 (neg.f64 l) (log.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))))
(exp.f64 (*.f64 (+.f64 (neg.f64 l) (log.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 M))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) (fma.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M) M))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 (*.f64 M #s(literal 1 binary64)))) (fma.f64 (neg.f64 M) #s(literal 1 binary64) (*.f64 M #s(literal 1 binary64))))
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) M))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 2 binary64)) (fma.f64 M M (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 M))
(fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 M))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K)
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 n m))) #s(literal -1 binary64))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 n m)) K)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 1 binary64)))
Outputs
(pow.f64 M #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (pow.f64 M #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 M n) (pow.f64 M #s(literal 2 binary64)))
(*.f64 M (-.f64 M n))
(+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/4 binary64) n))) (pow.f64 M #s(literal 2 binary64)))
(fma.f64 n (fma.f64 #s(literal -1 binary64) M (*.f64 n #s(literal 1/4 binary64))) (pow.f64 M #s(literal 2 binary64)))
(fma.f64 n (-.f64 (*.f64 n #s(literal 1/4 binary64)) M) (pow.f64 M #s(literal 2 binary64)))
(+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/4 binary64) n))) (pow.f64 M #s(literal 2 binary64)))
(fma.f64 n (fma.f64 #s(literal -1 binary64) M (*.f64 n #s(literal 1/4 binary64))) (pow.f64 M #s(literal 2 binary64)))
(fma.f64 n (-.f64 (*.f64 n #s(literal 1/4 binary64)) M) (pow.f64 M #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 M n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 M) n)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 M n)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 M n) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 M n) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 M n)) (/.f64 (pow.f64 M #s(literal 2 binary64)) (pow.f64 n #s(literal 2 binary64)))))
(*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 M n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 M) n)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 M n)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))) n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (+.f64 M (/.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64))) n)) n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 M (/.f64 (pow.f64 M #s(literal 2 binary64)) n)) n)))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))) n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (+.f64 M (/.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64))) n)) n))))
(*.f64 (pow.f64 n #s(literal 2 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 M (/.f64 (pow.f64 M #s(literal 2 binary64)) n)) n)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 M n) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))
(-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 M n))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)) (*.f64 M (+.f64 M (neg.f64 n))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)) (*.f64 M (-.f64 M n)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)) (*.f64 M (+.f64 M (neg.f64 n))))
(fma.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)) (*.f64 M (-.f64 M n)))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 n M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n M) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n M) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 n M)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))))))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 n M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) M))) M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 n (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64)) M)) M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64)) M)) M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 n #s(literal 2 binary64)) M))) M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 n (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64)) M)) M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64)) M)) M)))
(*.f64 #s(literal -1 binary64) (+.f64 l n))
(neg.f64 (+.f64 n l))
(-.f64 (neg.f64 n) l)
(-.f64 m (+.f64 l n))
(-.f64 m (+.f64 n l))
(-.f64 m (+.f64 l n))
(-.f64 m (+.f64 n l))
(-.f64 m (+.f64 l n))
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(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(*.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 2 binary64)) (pow.f64 M #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) M))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 2 binary64))) (pow.f64 M #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) M))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (pow.f64 M #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 2 binary64)) (fma.f64 M M (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64))) (pow.f64 M #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 2 binary64)) (fma.f64 M M (*.f64 M (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64))) (pow.f64 M #s(literal 3 binary64))) (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 2 binary64))) (fma.f64 M M (*.f64 M (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))))
(pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(pow.f64 (cbrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 3 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(pow.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(log.f64 (exp.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(cbrt.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M) #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))))
(expm1.f64 (log1p.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))))
(log1p.f64 (expm1.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(exp.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(fma.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(*.f64 (*.f64 K (+.f64 n m)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 n m)) K)
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(pow.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 n m))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 n m)))
(log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 n m)) K)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(cbrt.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 K (+.f64 n m)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)))

eval1.1s (2.2%)

Compiler

Compiled 40983 to 6515 computations (84.1% saved)

prune1.6s (3.3%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New1506141520
Fresh121022
Picked415
Done000
Total1522251547
Accuracy
98.5%
Counts
1547 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l))))) #s(literal 3 binary64)) #s(literal 3 binary64))
8.9%
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 3 binary64))
14.7%
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))))
8.7%
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
31.9%
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
22.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (*.f64 K (+.f64 m n))))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
8.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
10.5%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
29.0%
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 n m))) M)) (exp.f64 (neg.f64 l)))
28.3%
(*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) M)) (exp.f64 (neg.f64 l)))
30.4%
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
22.7%
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (neg.f64 l)))
90.1%
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
55.0%
(*.f64 (cos.f64 M) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
34.3%
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
86.3%
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
33.5%
(exp.f64 (neg.f64 l))
8.9%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
8.9%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
8.9%
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
8.5%
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
8.5%
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
8.6%
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
8.5%
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
9.2%
(cos.f64 M)
Compiler

Compiled 983 to 684 computations (30.4% saved)

localize1.5s (3%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
cost-diff6464
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)
cost-diff6464
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M))
cost-diff12800
(expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))))
cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))
cost-diff0
(neg.f64 l)
cost-diff0
(exp.f64 (neg.f64 l))
cost-diff64
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
cost-diff0
(/.f64 (*.f64 K n) M)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M))
cost-diff256
(*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))
cost-diff256
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
cost-diff0
(cos.f64 M)
cost-diff0
(-.f64 m n)
cost-diff0
(-.f64 (-.f64 m n) l)
cost-diff0
(neg.f64 M)
cost-diff64
(cos.f64 (neg.f64 M))
accuracy99.9%
(*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))
accuracy97.7%
(expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))))
accuracy90.1%
(log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))
accuracy67.7%
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M))
accuracy100.0%
(exp.f64 (neg.f64 l))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 m K))
accuracy100.0%
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
accuracy77.2%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M))
accuracy95.6%
(*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))
accuracy95.4%
(/.f64 (*.f64 K n) M)
accuracy75.1%
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
accuracy100.0%
(cos.f64 M)
accuracy100.0%
(cos.f64 (neg.f64 M))
accuracy100.0%
(-.f64 (-.f64 m n) l)
accuracy100.0%
(*.f64 M (-.f64 M n))
accuracy100.0%
(-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))
Rules
676×fma-define
499×sub-neg
477×exp-sum
450×exp-diff
351×fma-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051959
1111959
2249933
3721903
42216881
57082881
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(cos.f64 (neg.f64 M))
(neg.f64 M)
M
(exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))
(-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))
(-.f64 (-.f64 m n) l)
(-.f64 m n)
m
n
l
(*.f64 M (-.f64 M n))
(-.f64 M n)
(cos.f64 M)
M
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))
M
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M))
#s(literal 1/2 binary64)
(/.f64 (*.f64 K n) M)
(*.f64 K n)
K
n
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))
(*.f64 #s(literal 1/2 binary64) (*.f64 m K))
#s(literal 1/2 binary64)
(*.f64 m K)
m
K
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M))
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)
(expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))))
(log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))
(+.f64 m n)
m
n
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
M
(exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 m #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/4 binary64)
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M (-.f64 M n))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M (-.f64 M n)))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 m (+.f64 n (fma.f64 M (-.f64 M n) l)))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fma.f64 M (-.f64 n M) m) (+.f64 n l))))
(cos.f64 (neg.f64 M))
(cos.f64 M)
(neg.f64 M)
M
(exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))
(exp.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M (-.f64 M n)))))
(exp.f64 (-.f64 m (+.f64 n (+.f64 l (*.f64 M (-.f64 M n))))))
(exp.f64 (-.f64 m (+.f64 n (fma.f64 M (-.f64 M n) l))))
(exp.f64 (-.f64 (fma.f64 M (-.f64 n M) m) (+.f64 n l)))
(-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))
(-.f64 (-.f64 m n) (+.f64 l (*.f64 M (-.f64 M n))))
(-.f64 m (+.f64 n (+.f64 l (*.f64 M (-.f64 M n)))))
(-.f64 m (+.f64 n (fma.f64 M (-.f64 M n) l)))
(-.f64 (fma.f64 M (-.f64 n M) m) (+.f64 n l))
(-.f64 (-.f64 m n) l)
(-.f64 m (+.f64 n l))
(-.f64 m n)
m
n
l
(*.f64 M (-.f64 M n))
(-.f64 M n)
(cos.f64 M)
M
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M) #s(literal -1 binary64))))
(cos.f64 (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 n (/.f64 K M)) #s(literal -1 binary64))))
(cos.f64 (*.f64 M (fma.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 K M)) #s(literal -1 binary64))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))
(*.f64 M (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M) #s(literal -1 binary64)))
(*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 n (/.f64 K M)) #s(literal -1 binary64)))
(*.f64 M (fma.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 K M)) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)
M
(-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 n (/.f64 K M)) #s(literal -1 binary64))
(fma.f64 n (*.f64 #s(literal 1/2 binary64) (/.f64 K M)) #s(literal -1 binary64))
(fma.f64 n (*.f64 K (/.f64 #s(literal 1/2 binary64) M)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n K) M))
(*.f64 #s(literal 1/2 binary64) (*.f64 n (/.f64 K M)))
(*.f64 n (*.f64 K (/.f64 #s(literal 1/2 binary64) M)))
#s(literal 1/2 binary64)
(/.f64 (*.f64 K n) M)
(/.f64 (*.f64 n K) M)
(*.f64 n (/.f64 K M))
(*.f64 K n)
(*.f64 n K)
K
n
#s(literal 1 binary64)
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 m (*.f64 #s(literal 1/2 binary64) K))))
(/.f64 (cos.f64 (*.f64 m (*.f64 #s(literal 1/2 binary64) K))) (exp.f64 l))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))) (exp.f64 l))
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))
(cos.f64 (*.f64 m (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 1/2 binary64) (*.f64 m K))
(*.f64 m (*.f64 #s(literal 1/2 binary64) K))
#s(literal 1/2 binary64)
(*.f64 m K)
m
K
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)))) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))))) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (cos.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) #s(literal 0 binary64)) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M))
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)))) M))
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))))) M))
(cos.f64 (-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) #s(literal 0 binary64)) M))
(cos.f64 (fma.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M)))
(cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M)))
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)))) M)
(-.f64 (expm1.f64 (log1p.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))))) M)
(-.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) #s(literal 0 binary64)) M)
(fma.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K) (neg.f64 M))
(fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K))))
(expm1.f64 (log1p.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))
(log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))
(log1p.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K)))
(log1p.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n))))
(log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))
(*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 #s(literal 1/2 binary64) K))))
(expm1.f64 (log1p.f64 (*.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))
(+.f64 m n)
m
n
(*.f64 K #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) K)
K
#s(literal 1/2 binary64)
M
(exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)))
(pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64))
(*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))
(pow.f64 m #s(literal 2 binary64))
#s(literal 2 binary64)
#s(literal -1/4 binary64)
Results
613.0ms136×1valid
178.0ms78×0invalid
52.0ms42×0valid
Compiler

Compiled 251 to 43 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 528.0ms
ival-cos: 151.0ms (28.6% of total)
ival-mult: 126.0ms (23.9% of total)
ival-add: 80.0ms (15.1% of total)
ival-exp: 47.0ms (8.9% of total)
ival-sub: 28.0ms (5.3% of total)
ival-div: 21.0ms (4% of total)
backward-pass: 19.0ms (3.6% of total)
ival-neg: 17.0ms (3.2% of total)
ival-expm1: 16.0ms (3% of total)
ival-log1p: 13.0ms (2.5% of total)
ival-pow: 8.0ms (1.5% of total)
const: 2.0ms (0.4% of total)

series267.0ms (0.5%)

Counts
16 → 457
Calls
Call 1
Inputs
#<alt (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))>
#<alt (*.f64 M (-.f64 M n))>
#<alt (cos.f64 M)>
#<alt (cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))>
#<alt (/.f64 (*.f64 K n) M)>
#<alt (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))>
#<alt (*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 m K))>
#<alt (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M))>
#<alt (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))>
#<alt (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))))>
#<alt (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))>
#<alt (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)>
#<alt (*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))>
#<alt (-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))>
#<alt (-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))>
#<alt (-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))>
#<alt m>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))>
#<alt (*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))>
#<alt m>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))>
#<alt (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))>
#<alt (*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))>
#<alt (*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))>
#<alt (*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 1 binary64) M)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))>
#<alt (-.f64 m (+.f64 n (*.f64 M (-.f64 M n))))>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))>
#<alt (-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))>
#<alt (*.f64 #s(literal -1 binary64) l)>
#<alt (*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))>
#<alt (*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))>
#<alt (*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))>
#<alt (*.f64 #s(literal -1 binary64) l)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))>
#<alt (-.f64 m (+.f64 l n))>
#<alt (-.f64 (+.f64 m (*.f64 M n)) (+.f64 l n))>
#<alt (-.f64 (+.f64 m (*.f64 M (-.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal -1 binary64) n)))) (+.f64 l n))>
#<alt (-.f64 (+.f64 m (*.f64 M (-.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal -1 binary64) n)))) (+.f64 l n))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 M #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 n M) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) (/.f64 n M)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) (/.f64 n M)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))>
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#<alt (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 n M) #s(literal 1 binary64)))>
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#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 m (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))) (*.f64 m (+.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))))))))>
#<alt (+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (*.f64 m (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))) (*.f64 m (+.f64 (*.f64 #s(literal -1/4 binary64) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))) (*.f64 m (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 K #s(literal 3 binary64)) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)))) (*.f64 #s(literal 1/8 binary64) (*.f64 K (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M))))))))))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 n (*.f64 #s(literal -1 binary64) m)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 n (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 n (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))))))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M))))) (*.f64 n (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 K #s(literal 3 binary64)) (*.f64 n (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)))))))))) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (-.f64 m (*.f64 #s(literal -1 binary64) n)))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))) (*.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 (cos.f64 (neg.f64 M)) (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (pow.f64 (+.f64 m n) #s(literal 2 binary64)))))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))) (*.f64 K (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 (neg.f64 M)) (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (pow.f64 (+.f64 m n) #s(literal 2 binary64))))) (*.f64 #s(literal 1/48 binary64) (*.f64 K (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) #s(literal 3 binary64)))))))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 M (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 M (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))) (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 M (+.f64 (*.f64 M (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))) (*.f64 #s(literal -1/6 binary64) (*.f64 M (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))))) (*.f64 (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n)))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64))))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M)) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))))) (exp.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 m #s(literal 2 binary64)))))>
Calls

141 calls:

TimeVariablePointExpression
41.0ms
n
@-inf
(* 1/2 (/ (* K n) M))
31.0ms
n
@-inf
(* (cos (- (- (exp (log (+ 1 (* (+ m n) (* K 1/2))))) 1) M)) (exp (* (pow m 2) -1/4)))
17.0ms
m
@0
(cos (- (- (exp (log (+ 1 (* (+ m n) (* K 1/2))))) 1) M))
17.0ms
n
@inf
(- (- (- m n) l) (* M (- M n)))
16.0ms
m
@-inf
(* (cos (- (- (exp (log (+ 1 (* (+ m n) (* K 1/2))))) 1) M)) (exp (* (pow m 2) -1/4)))

rewrite959.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
359×log1p-expm1-u
358×expm1-log1p-u
351×add-exp-log
351×add-log-exp
350×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047525
1766525
Stop Event
node limit
Counts
16 → 275
Calls
Call 1
Inputs
(-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))
(*.f64 M (-.f64 M n))
(cos.f64 M)
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(/.f64 (*.f64 K n) M)
(*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(*.f64 #s(literal 1/2 binary64) (*.f64 m K))
(cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M))
(log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64)))
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
Outputs
(+.f64 (-.f64 m (+.f64 n l)) (neg.f64 (*.f64 M (-.f64 M n))))
(+.f64 (-.f64 m (+.f64 n l)) (*.f64 (neg.f64 M) (-.f64 M n)))
(+.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M (-.f64 M n)))) (fma.f64 (neg.f64 (-.f64 M n)) M (*.f64 M (-.f64 M n))))
(+.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M (-.f64 M n)))) (fma.f64 (neg.f64 M) (-.f64 M n) (*.f64 M (-.f64 M n))))
(+.f64 (-.f64 (-.f64 m n) (+.f64 l (*.f64 M (-.f64 M n)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 M (-.f64 M n)))) (sqrt.f64 (*.f64 M (-.f64 M n))) (*.f64 M (-.f64 M n))))
(+.f64 (fma.f64 #s(literal 1 binary64) (-.f64 m (+.f64 n l)) (neg.f64 (*.f64 (*.f64 M (-.f64 M n)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (*.f64 M (-.f64 M n))) #s(literal 1 binary64) (*.f64 (*.f64 M (-.f64 M n)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (-.f64 m (+.f64 n l)) (neg.f64 (*.f64 (cbrt.f64 (*.f64 M (-.f64 M n))) (pow.f64 (cbrt.f64 (*.f64 M (-.f64 M n))) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 M (-.f64 M n)))) (pow.f64 (cbrt.f64 (*.f64 M (-.f64 M n))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 M (-.f64 M n))) (pow.f64 (cbrt.f64 (*.f64 M (-.f64 M n))) #s(literal 2 binary64)))))
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(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(exp.f64 (+.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) (log.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)))))
(exp.f64 (*.f64 (+.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) (log.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)))) #s(literal 1 binary64)))

simplify1.4s (2.8%)

Algorithm
egg-herbie
Rules
420×*-commutative
385×distribute-rgt-in
385×distribute-lft-in
249×+-commutative
248×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0133135877
1363334911
Stop Event
node limit
Counts
732 → 700
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
m
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))
m
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))
(-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 1 binary64) M)))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))
(-.f64 m (+.f64 n (*.f64 M (-.f64 M n))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))
(*.f64 #s(literal -1 binary64) l)
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))
(*.f64 #s(literal -1 binary64) l)
(*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))
(*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))
(*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))
(-.f64 m (+.f64 l n))
(-.f64 (+.f64 m (*.f64 M n)) (+.f64 l n))
(-.f64 (+.f64 m (*.f64 M (-.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal -1 binary64) n)))) (+.f64 l n))
(-.f64 (+.f64 m (*.f64 M (-.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal -1 binary64) n)))) (+.f64 l n))
(*.f64 #s(literal -1 binary64) (pow.f64 M #s(literal 2 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 n M) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) (/.f64 n M)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) (/.f64 n M)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (pow.f64 M #s(literal 2 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 n M) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l n)) M)) n) M)) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l n)) M)) n) M)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 M n))
(*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n)))
(*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n)))
(*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n)))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(pow.f64 M #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (pow.f64 M #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (pow.f64 M #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 M n)) (pow.f64 M #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 M n))
(*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))
(*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))
(*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) M) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))
(*.f64 #s(literal -1 binary64) (*.f64 M n))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 M (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 M #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 M #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 M #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) (*.f64 M (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) (*.f64 M (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 M (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n))) (*.f64 M (-.f64 (*.f64 M (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))) (*.f64 #s(literal -1/6 binary64) (*.f64 M (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n))))))) (*.f64 #s(literal -1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))))))
(cos.f64 (*.f64 #s(literal -1 binary64) M))
(+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 n (sin.f64 (*.f64 #s(literal -1 binary64) M))))))
(+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) M)) (*.f64 K (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 K (*.f64 (pow.f64 n #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1 binary64) M))))) (*.f64 #s(literal 1/2 binary64) (*.f64 n (sin.f64 (*.f64 #s(literal -1 binary64) M)))))))
(+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) M)) (*.f64 K (-.f64 (*.f64 K (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 n #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1 binary64) M)))) (*.f64 #s(literal 1/48 binary64) (*.f64 K (*.f64 (pow.f64 n #s(literal 3 binary64)) (sin.f64 (*.f64 #s(literal -1 binary64) M))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 n (sin.f64 (*.f64 #s(literal -1 binary64) M)))))))
(cos.f64 (*.f64 #s(literal -1 binary64) M))
(+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) M)) (*.f64 #s(literal -1/2 binary64) (*.f64 K (*.f64 n (sin.f64 (*.f64 #s(literal -1 binary64) M))))))
(+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) M)) (*.f64 n (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (*.f64 n (cos.f64 (*.f64 #s(literal -1 binary64) M))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (*.f64 #s(literal -1 binary64) M)))))))
(+.f64 (cos.f64 (*.f64 #s(literal -1 binary64) M)) (*.f64 n (-.f64 (*.f64 n (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1 binary64) M)))) (*.f64 #s(literal 1/48 binary64) (*.f64 (pow.f64 K #s(literal 3 binary64)) (*.f64 n (sin.f64 (*.f64 #s(literal -1 binary64) M))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 K (sin.f64 (*.f64 #s(literal -1 binary64) M)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(*.f64 #s(literal -1 binary64) M)
(*.f64 #s(literal -1 binary64) M)
(*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K n) M)))))
(*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K n) M)))))
(*.f64 #s(literal -1 binary64) (*.f64 M (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 K n) M)))))
(*.f64 #s(literal -1 binary64) M)
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
(*.f64 K (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M K)) (*.f64 #s(literal 1/2 binary64) n)))
(*.f64 K (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M K)) (*.f64 #s(literal 1/2 binary64) n)))
(*.f64 K (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M K)) (*.f64 #s(literal 1/2 binary64) n)))
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
(*.f64 #s(literal -1 binary64) (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) n) (/.f64 M K))))
(*.f64 #s(literal -1 binary64) (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) n) (/.f64 M K))))
(*.f64 #s(literal -1 binary64) (*.f64 K (+.f64 (*.f64 #s(literal -1/2 binary64) n) (/.f64 M K))))
(*.f64 #s(literal -1 binary64) M)
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(+.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal 1/2 binary64) (*.f64 K n)))
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
(*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 n (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 M n)) (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 1/2 binary64) (*.f64 K n))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) K) (/.f64 M n))))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) K) (/.f64 M n))))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 #s(literal -1/2 binary64) K) (/.f64 M n))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 K #s(literal 4 binary64)) (pow.f64 m #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 K #s(literal 2 binary64))) (*.f64 (pow.f64 m #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (pow.f64 K #s(literal 6 binary64)) (pow.f64 m #s(literal 2 binary64)))) (*.f64 #s(literal 1/384 binary64) (pow.f64 K #s(literal 4 binary64))))))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (pow.f64 m #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 m #s(literal 2 binary64))) (*.f64 #s(literal 1/384 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (pow.f64 m #s(literal 4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 m #s(literal 2 binary64))) (*.f64 (pow.f64 K #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (pow.f64 K #s(literal 2 binary64)) (pow.f64 m #s(literal 6 binary64)))) (*.f64 #s(literal 1/384 binary64) (pow.f64 m #s(literal 4 binary64))))))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K m)))
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(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)) (pow.f64 (exp.f64 (pow.f64 m #s(literal 2 binary64))) #s(literal -1/4 binary64)))))
(exp.f64 (+.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) (log.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)))))
(exp.f64 (*.f64 (+.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) (log.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(neg.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n)))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
m
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n))))) m)))
(*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))) m)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n))))) m)))
(*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))) m)))
(*.f64 m (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))) m))))
(*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 l (+.f64 n (*.f64 M (-.f64 M n))))) m)))
(*.f64 m (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))) m)))
m
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))
(*.f64 (neg.f64 m) (+.f64 (/.f64 l m) (-.f64 (+.f64 (/.f64 n m) (*.f64 M (/.f64 (-.f64 M n) m))) #s(literal 1 binary64))))
(*.f64 m (neg.f64 (+.f64 (/.f64 l m) (+.f64 (*.f64 M (/.f64 (-.f64 M n) m)) (-.f64 (/.f64 n m) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))
(*.f64 (neg.f64 m) (+.f64 (/.f64 l m) (-.f64 (+.f64 (/.f64 n m) (*.f64 M (/.f64 (-.f64 M n) m))) #s(literal 1 binary64))))
(*.f64 m (neg.f64 (+.f64 (/.f64 l m) (+.f64 (*.f64 M (/.f64 (-.f64 M n) m)) (-.f64 (/.f64 n m) #s(literal 1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 m (-.f64 (+.f64 (/.f64 l m) (+.f64 (/.f64 n m) (/.f64 (*.f64 M (-.f64 M n)) m))) #s(literal 1 binary64))))
(*.f64 (neg.f64 m) (+.f64 (/.f64 l m) (-.f64 (+.f64 (/.f64 n m) (*.f64 M (/.f64 (-.f64 M n) m))) #s(literal 1 binary64))))
(*.f64 m (neg.f64 (+.f64 (/.f64 l m) (+.f64 (*.f64 M (/.f64 (-.f64 M n) m)) (-.f64 (/.f64 n m) #s(literal 1 binary64))))))
(-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (-.f64 m l) (pow.f64 M #s(literal 2 binary64)))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 (neg.f64 n) (-.f64 #s(literal 1 binary64) M))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (-.f64 m (*.f64 n (-.f64 #s(literal 1 binary64) M))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 (neg.f64 n) (-.f64 #s(literal 1 binary64) M))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (-.f64 m (*.f64 n (-.f64 #s(literal 1 binary64) M))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (+.f64 m (*.f64 (neg.f64 n) (-.f64 #s(literal 1 binary64) M))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(-.f64 (-.f64 m (*.f64 n (-.f64 #s(literal 1 binary64) M))) (+.f64 l (pow.f64 M #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) M))))
(*.f64 (neg.f64 n) (-.f64 #s(literal 1 binary64) M))
(*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 (-.f64 #s(literal 1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))))
(*.f64 n (-.f64 (+.f64 (/.f64 m n) #s(literal -1 binary64)) (+.f64 (/.f64 l n) (-.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) n) M))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 (-.f64 #s(literal 1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))))
(*.f64 n (-.f64 (+.f64 (/.f64 m n) #s(literal -1 binary64)) (+.f64 (/.f64 l n) (-.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) n) M))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n))))))
(*.f64 n (-.f64 (/.f64 m n) (+.f64 (-.f64 #s(literal 1 binary64) M) (+.f64 (/.f64 l n) (/.f64 (pow.f64 M #s(literal 2 binary64)) n)))))
(*.f64 n (-.f64 (+.f64 (/.f64 m n) #s(literal -1 binary64)) (+.f64 (/.f64 l n) (-.f64 (/.f64 (pow.f64 M #s(literal 2 binary64)) n) M))))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 #s(literal 1 binary64) M)))
(*.f64 (neg.f64 n) (-.f64 #s(literal 1 binary64) M))
(*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))
(*.f64 (neg.f64 n) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 m l) (pow.f64 M #s(literal 2 binary64))) n)) M) (neg.f64 n))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))
(*.f64 (neg.f64 n) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 m l) (pow.f64 M #s(literal 2 binary64))) n)) M) (neg.f64 n))
(*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M)))
(*.f64 (neg.f64 n) (-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 m (+.f64 l (pow.f64 M #s(literal 2 binary64)))) n))) M))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 m l) (pow.f64 M #s(literal 2 binary64))) n)) M) (neg.f64 n))
(-.f64 m (+.f64 n (*.f64 M (-.f64 M n))))
(-.f64 (-.f64 m n) (*.f64 M (-.f64 M n)))
(+.f64 (-.f64 m n) (*.f64 M (-.f64 n M)))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
(-.f64 (+.f64 m (*.f64 #s(literal -1 binary64) l)) (+.f64 n (*.f64 M (-.f64 M n))))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
(*.f64 #s(literal -1 binary64) l)
(neg.f64 l)
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (*.f64 M (/.f64 (-.f64 M n) l))))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 (*.f64 M (/.f64 (-.f64 M n) l)) (+.f64 (/.f64 n l) #s(literal 1 binary64)))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (*.f64 M (/.f64 (-.f64 M n) l))))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 (*.f64 M (/.f64 (-.f64 M n) l)) (+.f64 (/.f64 n l) #s(literal 1 binary64)))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (/.f64 (*.f64 M (-.f64 M n)) l)))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 n l) (*.f64 M (/.f64 (-.f64 M n) l))))))
(*.f64 l (-.f64 (/.f64 m l) (+.f64 (*.f64 M (/.f64 (-.f64 M n) l)) (+.f64 (/.f64 n l) #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) l)
(neg.f64 l)
(*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))
(*.f64 (neg.f64 l) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 m n) (*.f64 M (-.f64 M n))) l))))
(*.f64 l (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 m n) (*.f64 M (-.f64 n M))) l))))
(*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))
(*.f64 (neg.f64 l) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 m n) (*.f64 M (-.f64 M n))) l))))
(*.f64 l (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 m n) (*.f64 M (-.f64 n M))) l))))
(*.f64 #s(literal -1 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 n (*.f64 M (-.f64 M n)))) l)))))
(*.f64 (neg.f64 l) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (-.f64 m n) (*.f64 M (-.f64 M n))) l))))
(*.f64 l (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 m n) (*.f64 M (-.f64 n M))) l))))
(-.f64 m (+.f64 l n))
(-.f64 (+.f64 m (*.f64 M n)) (+.f64 l n))
(+.f64 m (-.f64 (*.f64 n M) (+.f64 l n)))
(-.f64 (+.f64 m (*.f64 M (-.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal -1 binary64) n)))) (+.f64 l n))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
(-.f64 (+.f64 m (*.f64 M (-.f64 (*.f64 #s(literal -1 binary64) M) (*.f64 #s(literal -1 binary64) n)))) (+.f64 l n))
(-.f64 m (+.f64 l (+.f64 n (*.f64 M (-.f64 M n)))))
(+.f64 m (fma.f64 M (-.f64 n M) (neg.f64 (+.f64 l n))))
(*.f64 #s(literal -1 binary64) (pow.f64 M #s(literal 2 binary64)))
(neg.f64 (pow.f64 M #s(literal 2 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 n M) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (/.f64 n M) #s(literal -1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) (/.f64 n M)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 n M) (/.f64 m (pow.f64 M #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 n M) (-.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) (/.f64 n M)) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 n M) (/.f64 m (pow.f64 M #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64)))))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 n M) (-.f64 (/.f64 m (pow.f64 M #s(literal 2 binary64))) #s(literal 1 binary64))) (+.f64 (/.f64 l (pow.f64 M #s(literal 2 binary64))) (/.f64 n (pow.f64 M #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (pow.f64 M #s(literal 2 binary64)))
(neg.f64 (pow.f64 M #s(literal 2 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (/.f64 n M) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 (/.f64 n M) #s(literal -1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l n)) M)) n) M)) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 m (+.f64 l n)) M)) n) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 m (+.f64 l n)) M) n)) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 m (+.f64 l n)) M)) n) M)) #s(literal 1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 m (+.f64 l n)) M)) n) M) #s(literal -1 binary64)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 m (+.f64 l n)) M) n)) M) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 M n))
(*.f64 (neg.f64 M) n)
(*.f64 M (neg.f64 n))
(*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n)))
(*.f64 M (-.f64 M n))
(*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n)))
(*.f64 M (-.f64 M n))
(*.f64 M (+.f64 M (*.f64 #s(literal -1 binary64) n)))
(*.f64 M (-.f64 M n))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 n M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 n M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 n M)))
(pow.f64 M #s(literal 2 binary64))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 n M))))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 n) M)))
(*.f64 (pow.f64 M #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 n M)))
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#s(literal 1 binary64)
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(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 m #s(literal 2 binary64))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 m #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 M))))
(exp.f64 (+.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) (log.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 m #s(literal 2 binary64))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 m #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 M))))
(exp.f64 (*.f64 (+.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64)) (log.f64 (cos.f64 (-.f64 (*.f64 (*.f64 (+.f64 m n) K) #s(literal 1/2 binary64)) M)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 m #s(literal 2 binary64))) (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m))) M)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1/4 binary64)) (pow.f64 m #s(literal 2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 n m)) (neg.f64 M))))

eval525.0ms (1%)

Compiler

Compiled 21674 to 4369 computations (79.8% saved)

prune1.9s (3.7%)

Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New88913902
Fresh41519
Picked325
Done011
Total89631927
Accuracy
98.5%
Counts
927 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l))))) #s(literal 3 binary64)) #s(literal 3 binary64))
8.9%
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 3 binary64))
8.6%
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
14.7%
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))))
8.9%
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
26.9%
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))))
22.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (*.f64 K (+.f64 m n))))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
8.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
10.5%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
29.0%
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 n m))) M)) (exp.f64 (neg.f64 l)))
28.3%
(*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) M)) (exp.f64 (neg.f64 l)))
12.5%
(*.f64 (cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) K)) (log.f64 n))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
35.8%
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
84.8%
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n))))
53.6%
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))))
48.1%
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
34.3%
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
89.3%
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
8.5%
(log.f64 (exp.f64 (cos.f64 (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 K (/.f64 n M)) #s(literal -1 binary64))))))
86.3%
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
33.5%
(exp.f64 (neg.f64 l))
8.9%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
8.9%
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
8.9%
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
8.5%
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
8.6%
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
8.6%
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
8.5%
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
8.5%
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
9.2%
(cos.f64 M)
9.2%
#s(literal 1 binary64)
Compiler

Compiled 1692 to 713 computations (57.9% saved)

regimes408.0ms (0.8%)

Counts
66 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))))
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) K) m) M)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 n m))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (*.f64 m (+.f64 (/.f64 n m) #s(literal 1 binary64)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 n (+.f64 K (*.f64 K (/.f64 m n)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))))
(*.f64 (cos.f64 M) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 3 binary64))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K m) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))))
(log.f64 (exp.f64 (cos.f64 (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 K (/.f64 n M)) #s(literal -1 binary64))))))
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64)))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 m n))) 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 (expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K)))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (neg.f64 l)))) #s(literal 3 binary64))
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (expm1.f64 (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) K)) (log.f64 n))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (*.f64 K (+.f64 m n))))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (*.f64 (*.f64 K (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)))) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64)) M) #s(literal 2 binary64)) l))))) #s(literal 3 binary64))
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 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 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #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 (pow.f64 (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (+.f64 m n) #s(literal 1/2 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))))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l))))) #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))) #s(literal 2 binary64))) #s(literal 3 binary64)) (cbrt.f64 (*.f64 (cos.f64 (fma.f64 K (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 (-.f64 m n) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 m n) (neg.f64 M)) #s(literal 2 binary64))) l)))))
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))))
Calls

6 calls:

85.0ms
m
80.0ms
l
65.0ms
K
58.0ms
n
57.0ms
M
Results
AccuracySegmentsBranch
98.1%1K
98.1%1m
98.1%1n
98.1%1M
98.1%1l
98.1%1(*.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 64 to 46 computations (28.1% saved)

regimes231.0ms (0.5%)

Counts
48 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))))
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) K) m) M)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 n m))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (*.f64 m (+.f64 (/.f64 n m) #s(literal 1 binary64)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 n (+.f64 K (*.f64 K (/.f64 m n)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))))
(*.f64 (cos.f64 M) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 3 binary64))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K m) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))))
(log.f64 (exp.f64 (cos.f64 (*.f64 M (fma.f64 #s(literal 1/2 binary64) (*.f64 K (/.f64 n M)) #s(literal -1 binary64))))))
(*.f64 (cos.f64 (-.f64 (expm1.f64 (log1p.f64 (*.f64 (+.f64 m n) (*.f64 K #s(literal 1/2 binary64))))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) #s(literal 3 binary64)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
Calls

5 calls:

53.0ms
n
52.0ms
m
49.0ms
M
38.0ms
l
26.0ms
K
Results
AccuracySegmentsBranch
97.4%1K
97.4%1m
97.4%1n
97.4%1M
97.4%1l
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes182.0ms (0.4%)

Counts
43 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))))
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) K) m) M)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) K) (+.f64 n m))) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (*.f64 m (+.f64 (/.f64 n m) #s(literal 1 binary64)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 n (+.f64 K (*.f64 K (/.f64 m n)))) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
(+.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)) (*.f64 (*.f64 #s(literal -1/2 binary64) K) (*.f64 m (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M)))))
(*.f64 (cos.f64 M) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))) #s(literal 3 binary64))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K n)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K m) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 (pow.f64 M #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 m #s(literal 2 binary64)) #s(literal -1/4 binary64))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (*.f64 (pow.f64 n #s(literal 2 binary64)) #s(literal -1/4 binary64))))
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
Calls

5 calls:

62.0ms
K
35.0ms
M
34.0ms
l
23.0ms
n
20.0ms
m
Results
AccuracySegmentsBranch
90.1%1K
95.1%3m
97.0%2n
93.5%2M
93.2%2l
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes47.0ms (0.1%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))))
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) K) m) M)))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (neg.f64 l)))
Outputs
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))))))
Calls

1 calls:

29.0ms
n
Results
AccuracySegmentsBranch
96.2%2n
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes48.0ms (0.1%)

Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n))))
(*.f64 (exp.f64 (neg.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) M) (neg.f64 n))))
Outputs
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n))))
Calls

1 calls:

11.0ms
n
Results
AccuracySegmentsBranch
93.9%2n
Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes131.0ms (0.3%)

Counts
21 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
Calls

4 calls:

56.0ms
M
30.0ms
l
13.0ms
n
11.0ms
m
Results
AccuracySegmentsBranch
91.6%2l
89.3%1M
92.0%2m
89.3%1n
Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes92.0ms (0.2%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (-.f64 #s(literal 1 binary64) l))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 #s(literal 1/2 binary64) l) #s(literal 1 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (+.f64 #s(literal 1 binary64) (*.f64 l (-.f64 (*.f64 l (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) l))) #s(literal 1 binary64)))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
Outputs
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(exp.f64 (neg.f64 l))
Calls

3 calls:

39.0ms
m
26.0ms
K
22.0ms
l
Results
AccuracySegmentsBranch
91.6%2l
89.3%1K
89.3%1m
Compiler

Compiled 18 to 15 computations (16.7% saved)

regimes105.0ms (0.2%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
(exp.f64 (neg.f64 l))
(cos.f64 (*.f64 (*.f64 n #s(literal 1/2 binary64)) K))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 M #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 n K)) M))
(cos.f64 (*.f64 K (-.f64 (*.f64 n #s(literal 1/2 binary64)) (/.f64 M K))))
(cos.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) K) (/.f64 M n))))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 K (+.f64 m n))) M))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 m K))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 n M) K)) #s(literal 1 binary64))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 K n) M)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 n m) K))))
(cos.f64 (*.f64 (neg.f64 M) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 K (/.f64 n M))))))
(cos.f64 (*.f64 M (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 M (*.f64 n K)))) #s(literal 1 binary64))))
Outputs
(exp.f64 (neg.f64 l))
Calls

5 calls:

30.0ms
n
26.0ms
l
23.0ms
K
14.0ms
m
9.0ms
M
Results
AccuracySegmentsBranch
33.5%1m
33.5%1n
33.5%1M
33.5%1K
33.5%1l
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes53.0ms (0.1%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(cos.f64 M)
Outputs
(cos.f64 M)
Calls

5 calls:

28.0ms
l
15.0ms
K
3.0ms
m
3.0ms
n
3.0ms
M
Results
AccuracySegmentsBranch
9.2%1M
9.2%1n
9.2%1K
9.2%1m
9.2%1l
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes32.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

22.0ms
m
2.0ms
K
2.0ms
n
2.0ms
M
2.0ms
l
Results
AccuracySegmentsBranch
9.2%1K
9.2%1m
9.2%1M
9.2%1l
9.2%1n
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch132.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
108.0ms
3535390689.6431084
11916611553048285000.0
Results
76.0ms135×0valid
7.0ms1valid
Compiler

Compiled 402 to 289 computations (28.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 29.0ms (53.8% of total)
ival-sub: 7.0ms (13% of total)
ival-div: 4.0ms (7.4% of total)
ival-cos: 3.0ms (5.6% of total)
ival-pow: 3.0ms (5.6% of total)
ival-exp: 2.0ms (3.7% of total)
ival-add: 2.0ms (3.7% of total)
ival-neg: 1.0ms (1.9% of total)
backward-pass: 1.0ms (1.9% of total)
ival-fabs: 1.0ms (1.9% of total)
const: 0.0ms (0% of total)

bsearch6.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
3535390689.6431084
11916611553048285000.0
Results
3.0ms14×0valid
1.0ms1valid
Compiler

Compiled 80 to 56 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (35.2% of total)
const: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)

bsearch14.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
13.0ms
1.0679843406091675e+196
1.8085215839789569e+199
Results
4.0ms16×0valid
Compiler

Compiled 78 to 54 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (41.7% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-pow: 0.0ms (0% of total)

bsearch15.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
13.0ms
-3.9457180117043734e+39
-1.0762369977456496e+39
Results
10.0ms47×0valid
0.0ms1valid
Compiler

Compiled 138 to 100 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (28.9% of total)
ival-div: 1.0ms (14.4% of total)
ival-pow: 1.0ms (14.4% of total)
ival-mult: 1.0ms (14.4% of total)
ival-exp: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)

bsearch31.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
30.0ms
9.298862015808892e-21
2513309501699790.5
Results
28.0ms32×0valid
Compiler

Compiled 100 to 72 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (21.3% of total)
ival-mult: 1.0ms (21.3% of total)
ival-sub: 1.0ms (21.3% of total)
ival-pow: 1.0ms (21.3% of total)
ival-add: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
ival-cos: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

simplify240.0ms (0.5%)

Algorithm
egg-herbie
Rules
363×unsub-neg
168×neg-mul-1
117×distribute-lft-neg-in
114×distribute-neg-out
74×neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074696
1120696
2161696
3199696
4230696
5272696
6306696
7458696
8822696
91154696
101237696
111306696
121385696
131438696
141471696
151483696
161485696
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(if (<=.f64 n #s(literal 11000000000000000000 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))))))
(if (<=.f64 n #s(literal 5000000000 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))))))
(if (<=.f64 n #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n)))))
(if (<=.f64 m #s(literal -1200000000000000048543581607386731773952 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))))
(if (<=.f64 l #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 M)
#s(literal 1 binary64)
Outputs
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64))))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 m n)) M) #s(literal 2 binary64)) l))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) M) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 n #s(literal 1/2 binary64)) M) #s(literal 2 binary64)))))
(if (<=.f64 n #s(literal 11000000000000000000 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))))))
(if (<=.f64 n #s(literal 11000000000000000000 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (exp.f64 (-.f64 m (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (+.f64 n l)))))
(if (<=.f64 n #s(literal 11000000000000000000 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (+.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 n M))))) (exp.f64 (-.f64 m (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (+.f64 n l)))))
(if (<=.f64 n #s(literal 5000000000 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (exp.f64 (-.f64 m (+.f64 (+.f64 n l) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64)))))))
(if (<=.f64 n #s(literal 5000000000 binary64)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))) (exp.f64 (-.f64 m (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (+.f64 n l)))))
(if (<=.f64 n #s(literal 5000000000 binary64)) (exp.f64 (+.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 n M)))) (exp.f64 (-.f64 m (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 2 binary64))) (+.f64 n l)))))
(if (<=.f64 n #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 l n)))))
(if (<=.f64 n #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 n l)))))
(if (<=.f64 n #s(literal 19999999999999999022865849278470264106778320922372433398933167781147023447499918366556775778344680456191750897534276513413896506501104986185271471852552907987540733076746850001554473076458172448768 binary64)) (exp.f64 (+.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 n M)))) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 (-.f64 m (+.f64 n l)))))
(if (<=.f64 m #s(literal -1200000000000000048543581607386731773952 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))))
(if (<=.f64 m #s(literal -1200000000000000048543581607386731773952 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))))
(if (<=.f64 m #s(literal -1200000000000000048543581607386731773952 binary64)) (*.f64 (cos.f64 (neg.f64 M)) (exp.f64 m)) (exp.f64 (+.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 n M)))))
(if (<=.f64 l #s(literal 5764607523034235/1152921504606846976 binary64)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n))))) (exp.f64 (neg.f64 l)))
(if (<=.f64 l #s(literal 5764607523034235/1152921504606846976 binary64)) (exp.f64 (-.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 M n)))) (exp.f64 (neg.f64 l)))
(if (<=.f64 l #s(literal 5764607523034235/1152921504606846976 binary64)) (exp.f64 (+.f64 (-.f64 (-.f64 m n) l) (*.f64 M (-.f64 n M)))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))
(cos.f64 M)
#s(literal 1 binary64)

soundness4.9s (9.8%)

Rules
781×*-commutative
752×*-commutative
527×distribute-lft-in
526×distribute-rgt-in
412×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0113046153
1334744794
0217825769869374
1604525769868824
0223164424584065
1618164424582264
Stop Event
fuel
node limit
node limit
node limit
Compiler

Compiled 935 to 342 computations (63.4% saved)

preprocess303.0ms (0.6%)

Remove

(sort m n)

Compiler

Compiled 682 to 356 computations (47.8% saved)

end0.0ms (0%)

Profiling

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