Maksimov and Kolovsky, Equation (32)

Time bar (total: 9.6s)

analyze15.0ms (0.2%)

Memory
-11.1MiB live, 4.7MiB allocated
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 66 to 45 computations (31.8% saved)

sample9.4s (98.1%)

Memory
39.2MiB live, 2 239.4MiB allocated
Samples
2.5s7 546×0valid-sollya
975.0ms7 546×0valid-baseline
849.0ms7 546×0valid-rival
94.0ms165×1valid-baseline
61.0ms244×1valid-rival+baseline-inf
44.0ms165×1valid-rival
42.0ms165×1valid-sollya
34.0ms294×0valid-rival+baseline-inf
1.0ms0valid-rival+baseline-real
0.0ms0valid-rival+baseline-zero
Precisions
Click to see Rival histograms. Total time spent on operations: 724.0ms
ival-sub: 173.0ms (23.9% of total)
ival-mult: 110.0ms (15.2% of total)
ival-div: 109.0ms (15.1% of total)
ival-pow2: 78.0ms (10.8% of total)
ival-cos: 58.0ms (8% of total)
ival-exp: 53.0ms (7.3% of total)
ival-add: 53.0ms (7.3% of total)
ival-fabs: 34.0ms (4.7% of total)
ival-neg: 33.0ms (4.6% of total)
adjust: 10.0ms (1.4% of total)
ival-true: 8.0ms (1.1% of total)
ival-assert: 4.0ms (0.6% of total)
...in/eval/compile.rkt:110:19: 3.0ms (0.4% of total)
Precisions
Click to see Base histograms. Total time spent on operations: 836.0ms
ival-sub: 201.0ms (24.1% of total)
ival-mult: 122.0ms (14.6% of total)
ival-div: 119.0ms (14.2% of total)
ival-pow: 115.0ms (13.8% of total)
ival-cos: 65.0ms (7.8% of total)
ival-exp: 64.0ms (7.7% of total)
ival-add: 54.0ms (6.5% of total)
ival-fabs: 42.0ms (5% of total)
ival-neg: 42.0ms (5% of total)
const: 11.0ms (1.3% of total)
Bogosity

preprocess114.0ms (1.2%)

Memory
-2.3MiB live, 30.7MiB allocated
Algorithm
egg-herbie
Rules
802×exp-sum
791×fmm-def
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)))))
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(*.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)))))))
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(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M)) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (*.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (neg.f64 l)) (fabs.f64 (-.f64 n m)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) l)))))
(*.f64 (cos.f64 (fma.f64 K (/.f64 (+.f64 m n) #s(literal 2 binary64)) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)))))
(neg.f64 (*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 (neg.f64 K) (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(*.f64 (neg.f64 (cos.f64 (-.f64 (*.f64 (neg.f64 K) (/.f64 (+.f64 m n) #s(literal 2 binary64))) M))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) l) (fabs.f64 (-.f64 n m)))))
(*.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64)) (-.f64 l (fabs.f64 (-.f64 n m)))))) (neg.f64 (cos.f64 (-.f64 (*.f64 (+.f64 m n) (/.f64 (neg.f64 K) #s(literal 2 binary64))) M))))
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(*.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)

Compiler

Compiled 34 to 21 computations (38.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 5 to 5 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(*.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) #s(literal 2 binary64)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) #s(literal 2 binary64)) M) #s(literal 2 binary64))) (-.f64 l (fabs.f64 (-.f64 m n))))))
Compiler

Compiled 68 to 42 computations (38.2% saved)

simplify26.0ms (0.3%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
egg-herbie
Rules
168×unsub-neg
88×neg-mul-1
69×distribute-lft-neg-in
54×distribute-neg-out
42×neg-sub0
Iterations

Useful iterations: 3 (0.0ms)

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

soundness0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Stop Event
fuel
Compiler

Compiled 33 to 20 computations (39.4% saved)

preprocess23.0ms (0.2%)

Memory
10.0MiB live, 25.6MiB allocated
Remove

(sort m n)

Compiler

Compiled 266 to 162 computations (39.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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