Metrics for Maksimov and Kolovsky, Equation (32)

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
100%	99.8%	0%	0.2%	0%	0%	0%	1

Compiler

Compiled 35 to 24 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

Operation ival-pow, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-cos, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

sample3.9s (17.2%)

Results

3.3s	7596×	0	valid
193.0ms	351×	0	infinite
112.0ms	188×	1	infinite
98.0ms	120×	1	valid
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

Operation ival-sub, time spent: 1.3s, 53.0% of total-time

Operation ival-cos, time spent: 251.0ms, 10.0% of total-time

Operation ival-div, time spent: 216.0ms, 9.0% of total-time

Operation ival-mult, time spent: 184.0ms, 7.0% of total-time

Operation ival-add, time spent: 179.0ms, 7.0% of total-time

Operation ival-pow, time spent: 153.0ms, 6.0% of total-time

Operation ival-exp, time spent: 65.0ms, 3.0% of total-time

Operation ival-neg, time spent: 58.0ms, 2.0% of total-time

Operation const, time spent: 36.0ms, 1.0% of total-time

Operation ival-fabs, time spent: 33.0ms, 1.0% of total-time

Bogosity

preprocess974.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1620×	`exp-sum`
1564×	`fma-neg`
900×	`exp-prod`
852×	`fma-def`
512×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
168	48	(-3.84046895155547e-287 -1.9943493613938537e+56 3.42400593501039e-306 1.1752643540238304e+101 3.5886908088318807e+55)	50	(7.246616801399116e+136 -114511206833059180.0 9.382518567094954e+298 -7.35758111120682e-37 -3.7290709808569195e+267)	`(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))`
0	0	-	0	-	`M`
0	0	-	0	-	`l`
0	0	-	0	-	`(-.f64 m n)`
0	0	-	0	-	`(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)`
0	0	-	0	-	`n`
0	48	(235540.34453074573 2.2299010628307713e-197 2.440035525481672e-38 9.668931397564207e-291 5.3091506807374525e+300)	0	-	`(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)`
0	0	-	0	-	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))`
0	0	-	0	-	`(*.f64 K (+.f64 m n))`
0	0	-	0	-	`m`
0	0	-	0	-	`(-.f64 (/.f64 (+.f64 m n) 2) M)`
0	0	-	0	-	`(neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))`
0	0	-	0	-	`(exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))`
0	0	-	0	-	`(fabs.f64 (-.f64 m n))`
0	0	-	0	-	`(+.f64 m n)`
0	0	-	0	-	`(/.f64 (+.f64 m n) 2)`
0	0	-	0	-	`(-.f64 l (fabs.f64 (-.f64 m n)))`
0	0	-	0	-	`(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))`
0	0	-	0	-	`2`
0	0	-	0	-	`K`
0	0	-	0	-	`(/.f64 (*.f64 K (+.f64 m n)) 2)`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2686
1	622	2650
2	1663	2542
3	6235	2534

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (neg.f64 K) (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 (neg.f64 m) n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (neg.f64 m) n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m (neg.f64 n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n)))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n))))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (neg.f64 K) (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 (neg.f64 m) n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (neg.f64 m) n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n)))))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m (neg.f64 n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n))))))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n)))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 l n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) (-.f64 M (fabs.f64 (-.f64 m n))))))

Outputs
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 (neg.f64 K) (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))) (cos.f64 (-.f64 (/.f64 (neg.f64 K) (/.f64 2 (+.f64 m n))) M)))
(.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))) (cos.f64 (-.f64 (.f64 (/.f64 (neg.f64 K) 2) (+.f64 m n)) M)))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (cos.f64 (neg.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) M))))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) M)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 (neg.f64 m) n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (neg.f64 m) n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (-.f64 n m))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (-.f64 n m)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (+.f64 m n))))))
(.f64 (cos.f64 (-.f64 (.f64 (-.f64 n m) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m (neg.f64 n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n)))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (-.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m (neg.f64 n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (-.f64 m n)) M)) (exp.f64 (+.f64 (fabs.f64 (+.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 m n) 2) M) 2)) l))))
(.f64 (cos.f64 (-.f64 (.f64 (-.f64 m n) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (+.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (neg.f64 l)) (fabs.f64 (-.f64 n m)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 -1 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (-.f64 (+.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 (neg.f64 K) (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(*.f64 (neg.f64 (cos.f64 (-.f64 (/.f64 (neg.f64 K) (/.f64 2 (+.f64 m n))) M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))) (neg.f64 (cos.f64 (-.f64 (.f64 (/.f64 (neg.f64 K) 2) (+.f64 m n)) M))))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (neg.f64 (cos.f64 (neg.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) M)))))
(*.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))) (neg.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) M))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 (neg.f64 m) n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 (neg.f64 m) n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n)))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (-.f64 n m))) M)) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 (neg.f64 m) n)))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (-.f64 n m)) M)) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (+.f64 m n)))))))
(.f64 (cos.f64 (-.f64 (.f64 (-.f64 n m) (/.f64 K 2)) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 n m) 2) M) 2)))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m (neg.f64 n))) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m (neg.f64 n)) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m (neg.f64 n))))))))
(*.f64 (neg.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (-.f64 m n))) M))) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 m n) 2) M) 2)) l) (fabs.f64 (-.f64 m (neg.f64 n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (-.f64 m n)) M)) (neg.f64 (exp.f64 (+.f64 (fabs.f64 (+.f64 m n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (-.f64 m n) 2) M) 2)) l)))))
(.f64 (cos.f64 (-.f64 (.f64 (-.f64 m n) (/.f64 K 2)) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (+.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (-.f64 m n) 2) M) 2)))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) (neg.f64 M))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 m n)))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) (neg.f64 M))) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) (neg.f64 M)) 2)) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(.f64 (cos.f64 (+.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (neg.f64 (exp.f64 (-.f64 (neg.f64 (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2)) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2)))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) M)) (neg.f64 (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (+.f64 M (/.f64 (+.f64 m n) 2)) 2)))))
(neg.f64 (.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 (neg.f64 l) (fabs.f64 (-.f64 m n)))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (neg.f64 (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (neg.f64 l)) (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (neg.f64 (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (*.f64 -1 (-.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (neg.f64 (exp.f64 (-.f64 (+.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (neg.f64 (exp.f64 (-.f64 (+.f64 l (fabs.f64 (-.f64 n m))) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 K n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 m (+.f64 K n)) 2) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) l) (fabs.f64 (-.f64 K n)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 m 2) (+.f64 K n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 K n)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2)) l))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K n) (/.f64 m 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 m K)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m K) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 n (+.f64 K m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 n 2) (+.f64 K m)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m K))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 K m) (/.f64 n 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 K m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 K m) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 M (+.f64 m n)) 2) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 M (/.f64 2 (+.f64 m n))) K)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 M 2) (+.f64 m n)) K)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 M 2) (+.f64 m n) (neg.f64 K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 M 2) (neg.f64 K))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) K) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 l (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 K (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 l (/.f64 2 (+.f64 m n))) M)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) K) (fabs.f64 (-.f64 n m)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 l 2) (+.f64 m n)) M)) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) K))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m n) (/.f64 l 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) K) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n m)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n m) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 n m))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) (-.f64 l (fabs.f64 (-.f64 n m)))))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 M))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 M n)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 M n) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 n M)) 2) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 M n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 n M)) m)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2)) (-.f64 l (fabs.f64 (-.f64 n M))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n M) (/.f64 K 2)) m)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 M n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 n M) 2) m) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 l n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 l n) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 n l))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2)) (-.f64 m (fabs.f64 (-.f64 l n))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 n l)) M)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2) (-.f64 m (fabs.f64 (-.f64 l n)))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 n l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 l n)) m) (pow.f64 (-.f64 (/.f64 (+.f64 n l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m M)) 2) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m M))) n)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2)) (-.f64 l (fabs.f64 (-.f64 m M))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m M)) n)) (exp.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2) (-.f64 l (fabs.f64 (-.f64 m M)))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m M) (/.f64 K 2)) n)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m M)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m M) 2) n) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m l)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m l))) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m l)) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2)) (-.f64 n (fabs.f64 (-.f64 m l))))))
(.f64 (cos.f64 (-.f64 (.f64 (+.f64 m l) (/.f64 K 2)) M)) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m l)) n) (pow.f64 (-.f64 (/.f64 (+.f64 m l) 2) M) 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) l)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) (-.f64 M (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) l)) (exp.f64 (+.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) M) (fabs.f64 (-.f64 n m)))))
(.f64 (cos.f64 (-.f64 (.f64 (/.f64 K 2) (+.f64 m n)) l)) (exp.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2)) M))))
(*.f64 (cos.f64 (fma.f64 (/.f64 K 2) (+.f64 m n) (neg.f64 l))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) M) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2))))
(*.f64 (cos.f64 (fma.f64 (+.f64 m n) (/.f64 K 2) (neg.f64 l))) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 n m)) M) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) l) 2))))

Symmetry

(sort m n)

Compiler

Compiled 342 to 153 computations (55.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 556.0ms

Operation ival-sub, time spent: 268.0ms, 48.0% of total-time

Operation ival-div, time spent: 74.0ms, 13.0% of total-time

Operation ival-pow, time spent: 67.0ms, 12.0% of total-time

Operation ival-cos, time spent: 64.0ms, 12.0% of total-time

Operation ival-neg, time spent: 19.0ms, 3.0% of total-time

Operation ival-add, time spent: 18.0ms, 3.0% of total-time

Operation ival-mult, time spent: 15.0ms, 3.0% of total-time

Operation const, time spent: 14.0ms, 3.0% of total-time

Operation ival-exp, time spent: 12.0ms, 2.0% of total-time

Operation ival-fabs, time spent: 6.0ms, 1.0% of total-time

eval2.0ms (0%)

Compiler: Compiled 119 to 63 computations (47.1% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 34 to 23 computations (32.4% saved)

localize494.0ms (2.2%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))
✓	100.0%	(*.f64 K (+.f64 m n))
✓	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	40.4%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 154 to 65 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 406.0ms

Operation ival-sub, time spent: 181.0ms, 45.0% of total-time

Operation ival-div, time spent: 73.0ms, 18.0% of total-time

Operation ival-cos, time spent: 67.0ms, 17.0% of total-time

Operation ival-pow, time spent: 34.0ms, 8.0% of total-time

Operation ival-mult, time spent: 17.0ms, 4.0% of total-time

Operation ival-neg, time spent: 8.0ms, 2.0% of total-time

Operation ival-add, time spent: 8.0ms, 2.0% of total-time

Operation const, time spent: 7.0ms, 2.0% of total-time

Operation ival-exp, time spent: 7.0ms, 2.0% of total-time

Operation ival-fabs, time spent: 2.0ms, 0.0% of total-time

series19.0ms (0.1%)

Counts

4 → 156

Calls

42 calls:

Time	Variable		Point	Expression
2.0ms	n	@	inf	(*.f64 K (+.f64 m n))
1.0ms	m	@	inf	(*.f64 K (+.f64 m n))
1.0ms	m	@	0	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
1.0ms	K	@	0	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
1.0ms	n	@	0	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite401.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

772×	`expm1-udef`
772×	`log1p-udef`
304×	`associate-r`
224×	`log1p-expm1-u`
224×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	166
1	459	158
2	7187	158

Stop Event

1×	node limit

Counts

4 → 136

Calls

Call 1

Inputs
(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
(*.f64 K (+.f64 m n))
(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))

Outputs
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 (neg.f64 M))) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 (neg.f64 M))))
(.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 1)
(.f64 1 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M))))
(.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 2) (cbrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))))
(.f64 (sqrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) (sqrt.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))) (-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M))))
(pow.f64 (cos.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 (neg.f64 M))) 1)
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(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l))) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))))
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 4)) (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 -1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (neg.f64 (-.f64 l (-.f64 m n))))

simplify222.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1552×	`fma-neg`
836×	`fma-def`
650×	`associate-r`
626×	`associate-l`
458×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	18643
1	1509	18178
2	5764	18028

Stop Event

1×	node limit

Counts

292 → 357

Calls

Call 1

Inputs
(cos.f64 (neg.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 2)))) (.f64 1/48 (.f64 (pow.f64 K 3) (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 3)))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 n 3) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (.f64 M (sin.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (.f64 M (sin.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 M 3) (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (.f64 M (sin.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n)))))
(cos.f64 (+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n)))))
(pow.f64 (-.f64 (*.f64 1/2 n) M) 2)
(+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (pow.f64 (-.f64 (*.f64 1/2 n) M) 2))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (.f64 m (-.f64 (*.f64 1/2 n) M)))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(*.f64 1/4 (pow.f64 m 2))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (.f64 m (-.f64 (*.f64 1/2 n) M)))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(+.f64 (.f64 1/4 (pow.f64 m 2)) (+.f64 (.f64 m (-.f64 (.f64 1/2 n) M)) (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(pow.f64 (-.f64 (*.f64 1/2 m) M) 2)
(+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (pow.f64 (-.f64 (*.f64 1/2 m) M) 2))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (-.f64 (*.f64 1/2 m) M)))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (-.f64 (*.f64 1/2 m) M)))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (+.f64 (.f64 n (-.f64 (.f64 1/2 m) M)) (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(*.f64 1/4 (pow.f64 (+.f64 m n) 2))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (*.f64 1/4 (pow.f64 (+.f64 m n) 2)))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 m n) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 m n) 2)) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 m n) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 m n) 2)) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 m n) 2)) (pow.f64 M 2)))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (+.f64 (*.f64 1/4 (pow.f64 (+.f64 m n) 2)) (pow.f64 M 2)))
(*.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 (.f64 K m) (.f64 K n))
(+.f64 (.f64 K m) (.f64 K n))
(+.f64 (.f64 K m) (.f64 K n))
(*.f64 K m)
(+.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 (.f64 K m) (.f64 K n))
(+.f64 (.f64 K m) (.f64 K n))
(+.f64 (.f64 K m) (.f64 K 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 n)
(+.f64 (.f64 K m) (.f64 K n))
(+.f64 (.f64 K m) (.f64 K n))
(+.f64 (.f64 K m) (.f64 K n))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 1/2 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 m (-.f64 M (.f64 1/2 n))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 m (-.f64 M (.f64 1/2 n))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 m (-.f64 M (*.f64 1/2 n))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 m (-.f64 M (.f64 1/2 n))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 m (-.f64 M (.f64 1/2 n))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(*.f64 -1/4 (pow.f64 m 2))
(+.f64 (.f64 -1 (.f64 m (-.f64 (.f64 1/2 n) M))) (.f64 -1/4 (pow.f64 m 2)))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (.f64 -1 (.f64 m (-.f64 (.f64 1/2 n) M))) (.f64 -1/4 (pow.f64 m 2)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (+.f64 (.f64 -1 (.f64 m (-.f64 (.f64 1/2 n) M))) (.f64 -1/4 (pow.f64 m 2)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 n (-.f64 M (.f64 1/2 m)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (*.f64 1/2 m))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (.f64 -1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (fabs.f64 (+.f64 m (.f64 -1 n))) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (+.f64 m (.f64 -1 n))) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 M (+.f64 m n))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(*.f64 -1 l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 1))
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(pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l)) 1)
(pow.f64 (cbrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))) 3)
(pow.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))) 2)
(neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (-.f64 l (-.f64 m n))))
(sqrt.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l)) 2))
(log.f64 (exp.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l)))))
(cbrt.f64 (pow.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l)) 3))
(expm1.f64 (log1p.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))))
(exp.f64 (log.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 2) l))) 1))
(log1p.f64 (expm1.f64 (+.f64 (-.f64 m n) (-.f64 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) l))))
(fma.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) (-.f64 (.f64 (+.f64 m n) 1/2) M) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 4)) (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 -1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (neg.f64 (-.f64 l (-.f64 m n))))

Outputs
(cos.f64 (neg.f64 M))
(cos.f64 M)
(+.f64 (cos.f64 (neg.f64 M)) (.f64 -1/2 (.f64 K (*.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))))
(+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n))))
(fma.f64 -1/2 (.f64 K (neg.f64 (.f64 (sin.f64 M) (+.f64 m n)))) (cos.f64 M))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 2))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)) (.f64 -1/8 (.f64 (*.f64 (pow.f64 K 2) (cos.f64 M)) (pow.f64 (+.f64 m n) 2)))))
(+.f64 (cos.f64 M) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 (neg.f64 (.f64 (sin.f64 M) (+.f64 m n))) (*.f64 -1/2 K))))
(+.f64 (cos.f64 (neg.f64 M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 2)))) (.f64 1/48 (.f64 (pow.f64 K 3) (*.f64 (sin.f64 (neg.f64 M)) (pow.f64 (+.f64 m n) 3)))))))
(+.f64 (cos.f64 M) (fma.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 K 2) (cos.f64 M)) (pow.f64 (+.f64 m n) 2)) (.f64 (.f64 1/48 (pow.f64 K 3)) (*.f64 (neg.f64 (sin.f64 M)) (pow.f64 (+.f64 m n) 3))))))
(+.f64 (fma.f64 -1/2 (.f64 K (neg.f64 (.f64 (sin.f64 M) (+.f64 m n)))) (cos.f64 M)) (fma.f64 -1/8 (.f64 (cos.f64 M) (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 1/48 (.f64 (neg.f64 (sin.f64 M)) (pow.f64 (*.f64 K (+.f64 m n)) 3)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))
(cos.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M))))))
(+.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M))))))
(fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))))))
(+.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (fma.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M)))) (.f64 -1/8 (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M)))))))
(+.f64 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (*.f64 (pow.f64 K 2) (pow.f64 m 2)))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K n)) M))))))))
(+.f64 (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M))) (fma.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M)))) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 K 2) (pow.f64 m 2)) (cos.f64 (fma.f64 1/2 (.f64 K n) (neg.f64 M)))) (.f64 1/48 (.f64 (pow.f64 (.f64 K m) 3) (sin.f64 (fma.f64 1/2 (*.f64 K n) (neg.f64 M))))))))
(+.f64 (fma.f64 -1/2 (.f64 (sin.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 K m)) (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M))) (fma.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 n 1/2)) M)) (.f64 (pow.f64 K 2) (pow.f64 m 2))) (.f64 (.f64 1/48 (pow.f64 (.f64 K m) 3)) (sin.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))
(cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))
(fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 -1/8 (.f64 (.f64 (pow.f64 K 2) (pow.f64 n 2)) (cos.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))))))
(+.f64 (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) (.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (*.f64 (pow.f64 K 2) (pow.f64 n 2)))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 n 3) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M))))))))
(+.f64 (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M)) (fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 K 2) (pow.f64 n 2)) (cos.f64 (-.f64 (.f64 1/2 (.f64 K m)) M))) (.f64 1/48 (.f64 (pow.f64 (.f64 K n) 3) (sin.f64 (-.f64 (.f64 1/2 (*.f64 K m)) M)))))))
(+.f64 (fma.f64 -1/2 (.f64 n (.f64 K (sin.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)))) (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M))) (fma.f64 -1/8 (.f64 (cos.f64 (-.f64 (.f64 K (.f64 m 1/2)) M)) (.f64 (pow.f64 K 2) (pow.f64 n 2))) (.f64 (.f64 1/48 (pow.f64 (.f64 K n) 3)) (sin.f64 (-.f64 (.f64 K (*.f64 m 1/2)) M)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (.f64 M (sin.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))))
(+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))
(fma.f64 M (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (.f64 M (sin.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))) (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 M 2)) 1) (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))) (+.f64 (.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 M 3) (sin.f64 (.f64 1/2 (.f64 K (+.f64 m n)))))) (.f64 M (sin.f64 (.f64 1/2 (*.f64 K (+.f64 m n))))))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 M 2) (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) (fma.f64 -1/6 (.f64 (pow.f64 M 3) (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) (.f64 M (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))) (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (+.f64 M (.f64 -1/6 (pow.f64 M 3)))) (.f64 (+.f64 (.f64 -1/2 (pow.f64 M 2)) 1) (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
(cos.f64 (-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M))
(cos.f64 (fma.f64 1/2 (*.f64 K (+.f64 m n)) (neg.f64 M)))
(cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))
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(-.f64 (+.f64 (fabs.f64 (-.f64 n m)) (-.f64 (-.f64 (.f64 (pow.f64 m 2) -1/4) (.f64 m (-.f64 (.f64 n 1/2) M))) l)) (pow.f64 (-.f64 (.f64 n 1/2) M) 2))
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(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (-.f64 (*.f64 m 1/2) M) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (-.f64 (*.f64 m 1/2) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 n (-.f64 M (.f64 1/2 m)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 n (+.f64 M (.f64 -1/2 m)))) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l))
(-.f64 (-.f64 (fma.f64 n (+.f64 M (.f64 -1/2 m)) (fabs.f64 (-.f64 n m))) l) (pow.f64 (-.f64 (.f64 m 1/2) M) 2))
(-.f64 (-.f64 (fma.f64 n (+.f64 M (.f64 -1/2 m)) (-.f64 m n)) l) (pow.f64 (-.f64 (.f64 m 1/2) M) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
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(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (fma.f64 -1/4 (pow.f64 n 2) (.f64 n (+.f64 M (.f64 -1/2 m))))) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l))
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(+.f64 (-.f64 m n) (-.f64 (-.f64 (fma.f64 n (+.f64 M (.f64 -1/2 m)) (.f64 (pow.f64 n 2) -1/4)) l) (pow.f64 (-.f64 (*.f64 m 1/2) M) 2)))
(*.f64 -1/4 (pow.f64 n 2))
(*.f64 (pow.f64 n 2) -1/4)
(+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (*.f64 1/2 m))))
(fma.f64 -1/4 (pow.f64 n 2) (.f64 n (+.f64 M (.f64 -1/2 m))))
(fma.f64 n (+.f64 M (.f64 -1/2 m)) (.f64 (pow.f64 n 2) -1/4))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (fma.f64 -1/4 (pow.f64 n 2) (.f64 n (+.f64 M (.f64 -1/2 m))))) (+.f64 (pow.f64 (-.f64 (*.f64 m 1/2) M) 2) l))
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(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1/4 (pow.f64 n 2)) (.f64 n (-.f64 M (.f64 1/2 m))))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
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(*.f64 -1/4 (pow.f64 n 2))
(*.f64 (pow.f64 n 2) -1/4)
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(fma.f64 -1 (.f64 n (-.f64 (.f64 m 1/2) M)) (*.f64 (pow.f64 n 2) -1/4))
(-.f64 (.f64 (pow.f64 n 2) -1/4) (.f64 n (-.f64 (*.f64 m 1/2) M)))
(-.f64 (+.f64 (fabs.f64 (+.f64 m (.f64 -1 n))) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
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(-.f64 (+.f64 (fabs.f64 (+.f64 m (.f64 -1 n))) (+.f64 (.f64 -1 (.f64 n (-.f64 (.f64 1/2 m) M))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (pow.f64 (-.f64 (.f64 1/2 m) M) 2)))
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(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (*.f64 (pow.f64 (+.f64 m n) 2) 1/4) l))
(-.f64 (fabs.f64 (-.f64 n m)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l))
(-.f64 (-.f64 m n) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 M (+.f64 m n))) (+.f64 l (.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(-.f64 (-.f64 (+.f64 (.f64 M (+.f64 m n)) (fabs.f64 (-.f64 m n))) l) (.f64 (pow.f64 (+.f64 m n) 2) 1/4))
(-.f64 (fma.f64 M (+.f64 m n) (fabs.f64 (-.f64 n m))) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l))
(-.f64 (fma.f64 M (+.f64 m n) (-.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
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(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
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(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
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(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(+.f64 (-.f64 (-.f64 m n) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))
(fma.f64 -1 (pow.f64 M 2) (*.f64 M (+.f64 m n)))
(-.f64 (*.f64 M (+.f64 m n)) (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
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(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(+.f64 (-.f64 (-.f64 m n) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
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(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(+.f64 (-.f64 (-.f64 m n) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(*.f64 -1 (pow.f64 M 2))
(neg.f64 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))
(fma.f64 -1 (pow.f64 M 2) (*.f64 M (+.f64 m n)))
(-.f64 (*.f64 M (+.f64 m n)) (pow.f64 M 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
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(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(+.f64 (-.f64 (-.f64 m n) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (*.f64 1/4 (pow.f64 (+.f64 m n) 2))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (fma.f64 -1 (pow.f64 M 2) (.f64 M (+.f64 m n))) (+.f64 (.f64 (pow.f64 (+.f64 m n) 2) 1/4) l)))
(+.f64 (-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(+.f64 (-.f64 (-.f64 m n) (pow.f64 M 2)) (-.f64 (*.f64 M (+.f64 m n)) (fma.f64 (pow.f64 (+.f64 m n) 2) 1/4 l)))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (-.f64 (*.f64 1/2 (+.f64 m n)) M) 2))
(-.f64 (fabs.f64 (-.f64 m n)) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (fabs.f64 (-.f64 n m)) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 m n) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(*.f64 -1 l)
(neg.f64 l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (pow.f64 (-.f64 (.f64 1/2 (+.f64 m n)) M) 2))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))
(fma.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)))
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(-.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2) (+.f64 (-.f64 l m) n))
(+.f64 (-.f64 m n) (-.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2) l))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M) 4)) (pow.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 m n) 1/2) M)) 2) (neg.f64 (-.f64 l (-.f64 m n))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 4)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M))) 2) (neg.f64 (+.f64 (-.f64 l m) n)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M))) 2) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 4)) (-.f64 (neg.f64 l) (-.f64 n m)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M))) 2) (cbrt.f64 (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 4)) (-.f64 (-.f64 m n) l))
(fma.f64 -1 (pow.f64 (-.f64 (*.f64 (+.f64 m n) 1/2) M) 2) (neg.f64 (-.f64 l (-.f64 m n))))
(+.f64 (fabs.f64 (-.f64 m n)) (-.f64 (neg.f64 l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2)))
(-.f64 (-.f64 (fabs.f64 (-.f64 n m)) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))
(-.f64 (-.f64 (-.f64 m n) l) (pow.f64 (fma.f64 (+.f64 m n) 1/2 (neg.f64 M)) 2))

eval307.0ms (1.4%)

Compiler: Compiled 14109 to 6975 computations (50.6% saved)

prune130.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	348	9	357
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	349	9	358

Accuracy

99.6%

Counts

358 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	78.8%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
	86.4%	(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	69.6%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))))
	40.1%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 n 2) -1/4)))
▶	45.1%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))
	48.8%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
▶	32.0%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
▶	48.4%	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
▶	97.7%	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Compiler

Compiled 520 to 374 computations (28.1% saved)

localize2.5s (11%)

Localize:

Found 19 expressions with local error:

New	Accuracy	Program
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
✓	99.7%	(pow.f64 (*.f64 K (+.f64 m n)) 3)
✓	57.3%	(cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))
✓	40.8%	(cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)) 2) M))
✓	100.0%	(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))
✓	100.0%	(-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))
	100.0%	(*.f64 K (+.f64 m n))
	40.8%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
	100.0%	(*.f64 K (+.f64 m n))
✓	100.0%	(exp.f64 (*.f64 (pow.f64 m 2) -1/4))
✓	99.7%	(*.f64 (pow.f64 m 2) -1/4)
	40.8%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
✓	100.0%	(/.f64 (*.f64 K (+.f64 m n)) 2)
✓	100.0%	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	100.0%	(*.f64 K (+.f64 m n))
	40.8%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
✓	100.0%	(-.f64 l (fabs.f64 (-.f64 m n)))
	100.0%	(-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))
	100.0%	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 594 to 248 computations (58.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.7s

Operation ival-sub, time spent: 588.0ms, 34.0% of total-time

Operation ival-cos, time spent: 243.0ms, 14.0% of total-time

Operation ival-add, time spent: 211.0ms, 12.0% of total-time

Operation ival-div, time spent: 194.0ms, 11.0% of total-time

Operation ival-pow, time spent: 173.0ms, 10.0% of total-time

Operation ival-mult, time spent: 150.0ms, 9.0% of total-time

Operation ival-neg, time spent: 58.0ms, 3.0% of total-time

Operation ival-cbrt, time spent: 43.0ms, 2.0% of total-time

Operation ival-exp, time spent: 35.0ms, 2.0% of total-time

Operation const, time spent: 33.0ms, 2.0% of total-time

Operation ival-fabs, time spent: 3.0ms, 0.0% of total-time

series32.0ms (0.1%)

Counts

10 → 332

Calls

87 calls:

Time	Variable		Point	Expression
4.0ms	M	@	-inf	(-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))
2.0ms	K	@	-inf	(cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))
1.0ms	n	@	-inf	(pow.f64 (*.f64 K (+.f64 m n)) 3)
1.0ms	n	@	0	(-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))
1.0ms	M	@	0	(-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))

rewrite185.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

281×	`log1p-expm1-u`
281×	`expm1-log1p-u`
279×	`add-cube-cbrt`
274×	`add-exp-log`
273×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	357
1	653	345

Stop Event

1×	node limit

Counts

10 → 317

Calls

Call 1

Inputs
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
(/.f64 (*.f64 K (+.f64 m n)) 2)
(*.f64 (pow.f64 m 2) -1/4)
(exp.f64 (*.f64 (pow.f64 m 2) -1/4))
(-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))
(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))
(cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)) 2) M))
(cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))
(pow.f64 (*.f64 K (+.f64 m n)) 3)

Outputs
(+.f64 l (neg.f64 (-.f64 m n)))
(+.f64 (-.f64 l (-.f64 m n)) (fma.f64 (neg.f64 (sqrt.f64 (-.f64 m n))) (sqrt.f64 (-.f64 m n)) (-.f64 m n)))
(+.f64 (.f64 l 1) (.f64 (neg.f64 (-.f64 m n)) 1))
(+.f64 (fma.f64 1 l (neg.f64 (.f64 (-.f64 m n) 1))) (fma.f64 (neg.f64 (-.f64 m n)) 1 (.f64 (-.f64 m n) 1)))
(+.f64 (fma.f64 1 l (neg.f64 (.f64 (cbrt.f64 (-.f64 m n)) (pow.f64 (cbrt.f64 (-.f64 m n)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 m n))) (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (.f64 (cbrt.f64 (-.f64 m n)) (pow.f64 (cbrt.f64 (-.f64 m n)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) (neg.f64 (.f64 (-.f64 m n) 1))) (fma.f64 (neg.f64 (-.f64 m n)) 1 (.f64 (-.f64 m n) 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) (neg.f64 (.f64 (cbrt.f64 (-.f64 m n)) (pow.f64 (cbrt.f64 (-.f64 m n)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 m n))) (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (.f64 (cbrt.f64 (-.f64 m n)) (pow.f64 (cbrt.f64 (-.f64 m n)) 2))))
(+.f64 (fma.f64 (sqrt.f64 l) (sqrt.f64 l) (neg.f64 (.f64 (-.f64 m n) 1))) (fma.f64 (neg.f64 (-.f64 m n)) 1 (.f64 (-.f64 m n) 1)))
(+.f64 (fma.f64 (sqrt.f64 l) (sqrt.f64 l) (neg.f64 (.f64 (cbrt.f64 (-.f64 m n)) (pow.f64 (cbrt.f64 (-.f64 m n)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (-.f64 m n))) (pow.f64 (cbrt.f64 (-.f64 m n)) 2) (.f64 (cbrt.f64 (-.f64 m n)) (pow.f64 (cbrt.f64 (-.f64 m n)) 2))))
(*.f64 1 (-.f64 l (-.f64 m n)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 l (-.f64 m n))) 2) (cbrt.f64 (-.f64 l (-.f64 m n))))
(*.f64 (sqrt.f64 (-.f64 l (-.f64 m n))) (sqrt.f64 (-.f64 l (-.f64 m n))))
(.f64 (-.f64 (pow.f64 l 3) (pow.f64 (-.f64 m n) 3)) (/.f64 1 (fma.f64 l l (+.f64 (pow.f64 (-.f64 m n) 2) (.f64 l (-.f64 m n))))))
(*.f64 (-.f64 (pow.f64 l 2) (pow.f64 (-.f64 m n) 2)) (/.f64 1 (+.f64 l (-.f64 m n))))
(*.f64 (+.f64 (sqrt.f64 l) (sqrt.f64 (-.f64 m n))) (-.f64 (sqrt.f64 l) (sqrt.f64 (-.f64 m n))))
(/.f64 1 (/.f64 (fma.f64 l l (+.f64 (pow.f64 (-.f64 m n) 2) (*.f64 l (-.f64 m n)))) (-.f64 (pow.f64 l 3) (pow.f64 (-.f64 m n) 3))))
(/.f64 1 (/.f64 (+.f64 l (-.f64 m n)) (-.f64 (pow.f64 l 2) (pow.f64 (-.f64 m n) 2))))
(/.f64 (-.f64 (pow.f64 l 3) (pow.f64 (-.f64 m n) 3)) (fma.f64 l l (+.f64 (pow.f64 (-.f64 m n) 2) (*.f64 l (-.f64 m n)))))
(/.f64 (-.f64 (pow.f64 l 2) (pow.f64 (-.f64 m n) 2)) (+.f64 l (-.f64 m n)))
(/.f64 (-.f64 (pow.f64 l 2) (pow.f64 (-.f64 m n) 2)) (-.f64 l (neg.f64 (-.f64 m n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 l 3) (pow.f64 (-.f64 m n) 3))) (neg.f64 (fma.f64 l l (+.f64 (pow.f64 (-.f64 m n) 2) (*.f64 l (-.f64 m n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 l 2) (pow.f64 (-.f64 m n) 2))) (neg.f64 (+.f64 l (-.f64 m n))))
(/.f64 (+.f64 (pow.f64 l 3) (pow.f64 (neg.f64 (-.f64 m n)) 3)) (+.f64 (pow.f64 l 2) (-.f64 (pow.f64 (-.f64 m n) 2) (*.f64 l (neg.f64 (-.f64 m n))))))
(pow.f64 (-.f64 l (-.f64 m n)) 1)
(pow.f64 (cbrt.f64 (-.f64 l (-.f64 m n))) 3)
(pow.f64 (pow.f64 (-.f64 l (-.f64 m n)) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 l (-.f64 m n))) 2)
(sqrt.f64 (pow.f64 (-.f64 l (-.f64 m n)) 2))
(log.f64 (exp.f64 (-.f64 l (-.f64 m n))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 l (-.f64 m n)))))
(cbrt.f64 (pow.f64 (-.f64 l (-.f64 m n)) 3))
(expm1.f64 (log1p.f64 (-.f64 l (-.f64 m n))))
(exp.f64 (log.f64 (-.f64 l (-.f64 m n))))
(exp.f64 (*.f64 (log.f64 (-.f64 l (-.f64 m n))) 1))
(log1p.f64 (expm1.f64 (-.f64 l (-.f64 m n))))
(fma.f64 1 l (neg.f64 (-.f64 m n)))
(fma.f64 (pow.f64 (cbrt.f64 l) 2) (cbrt.f64 l) (neg.f64 (-.f64 m n)))
(fma.f64 (sqrt.f64 l) (sqrt.f64 l) (neg.f64 (-.f64 m n)))
(+.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) (neg.f64 M))
(+.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M) (fma.f64 (neg.f64 (sqrt.f64 M)) (sqrt.f64 M) M))
(+.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 (.f64 M 1))) (fma.f64 (neg.f64 M) 1 (*.f64 M 1)))
(+.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2)))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2))))
(+.f64 (fma.f64 1 (.f64 (.f64 K (+.f64 m n)) 1/2) (neg.f64 (.f64 M 1))) (fma.f64 (neg.f64 M) 1 (.f64 M 1)))
(+.f64 (fma.f64 1 (.f64 (.f64 K (+.f64 m n)) 1/2) (neg.f64 (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2)))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) 2) (cbrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (neg.f64 (.f64 M 1))) (fma.f64 (neg.f64 M) 1 (.f64 M 1)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) 2) (cbrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (neg.f64 (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2)))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sqrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (neg.f64 (.f64 M 1))) (fma.f64 (neg.f64 M) 1 (.f64 M 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sqrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (neg.f64 (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2)))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2))))
(+.f64 (.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) 1) (.f64 (neg.f64 M) 1))
(.f64 1 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))
(.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M) 2)) (cbrt.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)))
(.f64 (sqrt.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) (sqrt.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 M 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (fma.f64 M M (.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)))))
(.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (pow.f64 M 2)) (/.f64 1 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M)))
(.f64 (+.f64 (sqrt.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) (sqrt.f64 M)))
(/.f64 1 (/.f64 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (fma.f64 M M (.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) (-.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 M 3))))
(/.f64 1 (/.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 M) (-.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4) (pow.f64 M 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 M 3)) (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (fma.f64 M M (.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (pow.f64 M 2)) (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 M 3))) (neg.f64 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (fma.f64 M M (.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (pow.f64 M 2))) (neg.f64 (fma.f64 (*.f64 K (+.f64 m n)) 1/2 M)))
(/.f64 (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8) (pow.f64 (neg.f64 M) 3)) (+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (-.f64 (.f64 (neg.f64 M) (neg.f64 M)) (.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) (neg.f64 M)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4) (.f64 (neg.f64 M) (neg.f64 M))) (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) (neg.f64 M)))
(pow.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M) 1)
(pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 2)
(sqrt.f64 (pow.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M) 2))
(log.f64 (exp.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)))
(exp.f64 (log.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M)) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)))
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(.f64 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 3) (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 3))
(sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 K (+.f64 m n)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 K (+.f64 m n)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))

simplify944.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1858×	`fma-def`
648×	`distribute-rgt-in`
624×	`distribute-lft-in`
472×	`associate-+r+`
416×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1031	36364
1	3072	34028

Stop Event

1×	node limit

Counts

649 → 648

Calls

Call 1

Inputs
(*.f64 -1 (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
l
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
l
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K n)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(.f64 1/2 (.f64 K m))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K m)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(.f64 1/2 (.f64 K n))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(.f64 1/2 (.f64 K n))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(*.f64 -1 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K n))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K n))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K n))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 m 2)))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 1/32 (pow.f64 m 4))))
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (+.f64 (.f64 -1/384 (pow.f64 m 6)) (*.f64 1/32 (pow.f64 m 4)))))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 -1 (.f64 M (-.f64 m M)))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M)))))) (+.f64 l (.f64 -1 (.f64 M (-.f64 m M)))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M)))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M)))))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (*.f64 -1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M)))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M)))))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (*.f64 -1/4 (pow.f64 n 2)))
(-.f64 (+.f64 (fabs.f64 (+.f64 m (.f64 -1 n))) (+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (.f64 -1 (.f64 M (-.f64 m M)))))
(-.f64 (+.f64 (fabs.f64 (+.f64 m (.f64 -1 n))) (+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2)))) (+.f64 l (.f64 -1 (.f64 M (-.f64 m M)))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n))))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (.f64 -1 (pow.f64 M 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (.f64 -1 (pow.f64 M 2)))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(*.f64 -1 (pow.f64 M 2))
(+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (+.f64 (.f64 -1 (pow.f64 M 2)) (.f64 M (+.f64 m n)))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 1/2 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 1/2 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 1/2 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(.f64 m (-.f64 M (.f64 1/2 n)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 1/2 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 1/2 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 m (-.f64 M (.f64 1/2 n)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(.f64 -1 (.f64 m (-.f64 (*.f64 1/2 n) M)))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (.f64 -1 (.f64 m (-.f64 (.f64 1/2 n) M)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (.f64 -1 (.f64 m (-.f64 (.f64 1/2 n) M)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (+.f64 (fabs.f64 (neg.f64 (+.f64 n (.f64 -1 m)))) (.f64 -1 (.f64 m (-.f64 (.f64 1/2 n) M)))) (+.f64 l (pow.f64 (-.f64 (*.f64 1/2 n) M) 2)))
(-.f64 (fabs.f64 (-.f64 m n)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (*.f64 1/2 n)) M)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(*.f64 -1 l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(*.f64 -1 l)
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (.f64 -1 l)) (.f64 (-.f64 (.f64 1/2 n) M) (-.f64 (+.f64 m (.f64 1/2 n)) M)))
(.f64 -1 (.f64 M (-.f64 m M)))
(+.f64 (.f64 -1 (.f64 M (-.f64 m M))) (.f64 n (+.f64 (.f64 -1/2 M) (*.f64 1/2 (-.f64 m M)))))
(+.f64 (.f64 -1 (.f64 M (-.f64 m M))) (+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))))
(+.f64 (.f64 -1 (.f64 M (-.f64 m M))) (+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M)))))
(+.f64 (.f64 -1 (.f64 M (-.f64 m M))) (+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))))
(+.f64 (.f64 -1 (.f64 M (-.f64 m M))) (+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))))
(*.f64 1/4 (pow.f64 n 2))
(+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M)))))
(+.f64 (.f64 -1 (.f64 M (-.f64 m M))) (+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))))
(+.f64 (.f64 -1 (.f64 M (-.f64 m M))) (+.f64 (.f64 1/4 (pow.f64 n 2)) (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))))
(.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))
(+.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n)))) (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (*.f64 -1/2 n))))
(+.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n)))) (+.f64 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (*.f64 -1/2 n))) (pow.f64 M 2)))
(+.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n)))) (+.f64 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (*.f64 -1/2 n))) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n))) (pow.f64 M 2))
(+.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n)))) (+.f64 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (*.f64 -1/2 n))) (pow.f64 M 2)))
(+.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n)))) (+.f64 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (*.f64 -1/2 n))) (pow.f64 M 2)))
(pow.f64 M 2)
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (pow.f64 M 2))
(+.f64 (.f64 -1 (.f64 M (+.f64 m n))) (+.f64 (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n)))) (pow.f64 M 2)))
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(pow.f64 (-.f64 (*.f64 1/2 n) M) 2)
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M)) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M)) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M)) (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M)))) (-.f64 (.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M)) (.f64 (sin.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (sin.f64 M))))
(pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 (.f64 K (+.f64 m n)) 1/2) M))))
(fma.f64 (cos.f64 (.f64 (.f64 K (+.f64 m n)) 1/2)) (cos.f64 M) (.f64 (sin.f64 (.f64 (*.f64 K (+.f64 m n)) 1/2)) (sin.f64 M)))
(+.f64 (.f64 K m) (.f64 K n))
(+.f64 (.f64 K n) (.f64 K m))
(+.f64 (.f64 m K) (.f64 n K))
(+.f64 (.f64 n K) (.f64 m K))
(+.f64 (.f64 (.f64 K m) 1) (.f64 (.f64 K n) 1))
(+.f64 (.f64 (.f64 m K) 1) (.f64 (.f64 n K) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (+.f64 m n)))) 1)
(*.f64 K (+.f64 m n))
(*.f64 (+.f64 m n) K)
(.f64 1 (.f64 K (+.f64 m n)))
(.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 2))
(.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/3))
(.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 2) (cbrt.f64 (*.f64 K (+.f64 m n))))
(.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (sqrt.f64 (*.f64 K (+.f64 m n))))
(.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/3) (cbrt.f64 (*.f64 K (+.f64 m n))))
(.f64 (pow.f64 1 1/3) (.f64 K (+.f64 m n)))
(.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3/2) 1/3))
(/.f64 (+.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K n) 3)) (+.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 (pow.f64 (.f64 m K) 3) (pow.f64 (.f64 n K) 3)) (+.f64 (.f64 (.f64 m K) (.f64 m K)) (-.f64 (.f64 (.f64 n K) (.f64 n K)) (.f64 (.f64 m K) (*.f64 n K)))))
(/.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 (.f64 (.f64 m K) (.f64 m K)) (.f64 (.f64 n K) (.f64 n K))) (-.f64 (.f64 m K) (.f64 n K)))
(pow.f64 (*.f64 K (+.f64 m n)) 1)
(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
(sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2))
(log.f64 (pow.f64 (exp.f64 K) (+.f64 m n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 K (+.f64 m n)))))
(expm1.f64 (log1p.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))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 K (+.f64 m n)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 K (+.f64 m n))))
(fma.f64 m K (*.f64 n K))
(fma.f64 K m (*.f64 K n))
(+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 K m)) (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 K n)))
(+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 m K)) (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 n K)))
(+.f64 (.f64 (.f64 K m) (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 (.f64 K n) (pow.f64 (.f64 K (+.f64 m n)) 2)))
(+.f64 (.f64 (.f64 m K) (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 (.f64 n K) (pow.f64 (.f64 K (+.f64 m n)) 2)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))) 1)
(.f64 (.f64 K (+.f64 m n)) (pow.f64 (*.f64 K (+.f64 m n)) 2))
(*.f64 (pow.f64 K 3) (pow.f64 (+.f64 m n) 3))
(*.f64 (pow.f64 (+.f64 m n) 3) (pow.f64 K 3))
(.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (*.f64 K (+.f64 m n)))
(.f64 1 (pow.f64 (.f64 K (+.f64 m n)) 3))
(.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) (pow.f64 (*.f64 K (+.f64 m n)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 2) 3) (*.f64 K (+.f64 m n)))
(.f64 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 3) (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 3))
(sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))
(exp.f64 (.f64 3 (log.f64 (.f64 K (+.f64 m n)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 K (+.f64 m n)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))

Outputs
(*.f64 -1 (fabs.f64 (-.f64 m n)))
(neg.f64 (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
l
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(+.f64 l (*.f64 -1 (fabs.f64 (-.f64 m n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (neg.f64 (+.f64 n (*.f64 -1 m)))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(-.f64 l (fabs.f64 (+.f64 m (*.f64 -1 n))))
(-.f64 l (fabs.f64 (-.f64 m n)))
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (.f64 1/2 (.f64 K n)) M)
(-.f64 (.f64 1/2 (.f64 n K)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 m K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 m K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (.f64 1/2 (.f64 K m)) M)
(-.f64 (.f64 1/2 (.f64 m K)) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K n))
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K n))
(.f64 1/2 (.f64 n K))
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(-.f64 (+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n))) M)
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(*.f64 -1 M)
(neg.f64 M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(+.f64 (.f64 -1 M) (.f64 1/2 (*.f64 K (+.f64 m n))))
(-.f64 (.f64 1/2 (.f64 K (+.f64 m n))) M)
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K n))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 m K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 m K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K m))
(.f64 1/2 (.f64 m K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K n))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K n))
(.f64 1/2 (.f64 n K))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
(*.f64 -1/4 (pow.f64 m 2))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 m 2)))
(fma.f64 -1/4 (pow.f64 m 2) 1)
(+.f64 1 (+.f64 (.f64 -1/4 (pow.f64 m 2)) (.f64 1/32 (pow.f64 m 4))))
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(pow.f64 (exp.f64 (pow.f64 m 2)) -1/4)
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(pow.f64 (exp.f64 (pow.f64 m 2)) -1/4)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
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(pow.f64 (exp.f64 (pow.f64 m 2)) -1/4)
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(pow.f64 (exp.f64 -1/4) (pow.f64 m 2))
(pow.f64 (exp.f64 (pow.f64 m 2)) -1/4)
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(pow.f64 (exp.f64 (pow.f64 m 2)) -1/4)
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(pow.f64 (exp.f64 (pow.f64 m 2)) -1/4)
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(pow.f64 (exp.f64 (pow.f64 m 2)) -1/4)
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(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n))))))
(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 n 1/2))))))
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(-.f64 (-.f64 (fabs.f64 (-.f64 m n)) (.f64 M (-.f64 (.f64 n -1/2) (fma.f64 n 1/2 m)))) (fma.f64 1/2 (*.f64 n (fma.f64 n 1/2 m)) l))
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(-.f64 (fabs.f64 (-.f64 m n)) (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 m (-.f64 (*.f64 n 1/2) M))))
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(.f64 (pow.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3/2) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3/2)))
(/.f64 (+.f64 (pow.f64 (.f64 K m) 3) (pow.f64 (.f64 K n) 3)) (+.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 (pow.f64 (.f64 n K) 3) (pow.f64 (.f64 m K) 3)) (+.f64 (.f64 (pow.f64 m 2) (pow.f64 K 2)) (.f64 (.f64 n K) (-.f64 (.f64 n K) (*.f64 m K)))))
(/.f64 (.f64 (pow.f64 K 3) (+.f64 (pow.f64 n 3) (pow.f64 m 3))) (fma.f64 (.f64 n K) (.f64 K (-.f64 n m)) (.f64 (pow.f64 m 2) (pow.f64 K 2))))
(/.f64 (+.f64 (pow.f64 (.f64 m K) 3) (pow.f64 (.f64 n K) 3)) (+.f64 (.f64 (.f64 m K) (.f64 m K)) (-.f64 (.f64 (.f64 n K) (.f64 n K)) (.f64 (.f64 m K) (*.f64 n K)))))
(/.f64 (+.f64 (pow.f64 (.f64 n K) 3) (pow.f64 (.f64 m K) 3)) (+.f64 (.f64 (pow.f64 m 2) (pow.f64 K 2)) (.f64 (.f64 n K) (-.f64 (.f64 n K) (*.f64 m K)))))
(/.f64 (.f64 (pow.f64 K 3) (+.f64 (pow.f64 n 3) (pow.f64 m 3))) (fma.f64 (.f64 n K) (.f64 K (-.f64 n m)) (.f64 (pow.f64 m 2) (pow.f64 K 2))))
(/.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 (.f64 K (+.f64 m n)) (.f64 K (-.f64 m n))) (.f64 K (-.f64 m n)))
(/.f64 (.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (.f64 K (-.f64 m n)))
(/.f64 (-.f64 (.f64 (.f64 m K) (.f64 m K)) (.f64 (.f64 n K) (.f64 n K))) (-.f64 (.f64 m K) (.f64 n K)))
(/.f64 (.f64 (.f64 K (+.f64 m n)) (.f64 K (-.f64 m n))) (.f64 K (-.f64 m n)))
(/.f64 (.f64 (pow.f64 K 2) (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (.f64 K (-.f64 m n)))
(pow.f64 (*.f64 K (+.f64 m n)) 1)
(*.f64 K (+.f64 m n))
(pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 1/3)
(*.f64 K (+.f64 m n))
(pow.f64 (cbrt.f64 (*.f64 K (+.f64 m n))) 3)
(*.f64 K (+.f64 m n))
(pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 2)
(*.f64 K (+.f64 m n))
(sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2))
(fabs.f64 (*.f64 K (+.f64 m n)))
(log.f64 (pow.f64 (exp.f64 K) (+.f64 m n)))
(*.f64 K (+.f64 m n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 K (+.f64 m n)))))
(*.f64 K (+.f64 m n))
(expm1.f64 (log1p.f64 (*.f64 K (+.f64 m n))))
(*.f64 K (+.f64 m n))
(exp.f64 (log.f64 (*.f64 K (+.f64 m n))))
(*.f64 K (+.f64 m n))
(exp.f64 (.f64 (log.f64 (.f64 K (+.f64 m n))) 1))
(*.f64 K (+.f64 m n))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 K (+.f64 m n)))) 1/3))
(*.f64 K (+.f64 m n))
(log1p.f64 (expm1.f64 (*.f64 K (+.f64 m n))))
(*.f64 K (+.f64 m n))
(fma.f64 m K (*.f64 n K))
(*.f64 K (+.f64 m n))
(fma.f64 K m (*.f64 K n))
(*.f64 K (+.f64 m n))
(+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 K m)) (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 K n)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(+.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 m K)) (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (.f64 n K)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(+.f64 (.f64 (.f64 K m) (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 (.f64 K n) (pow.f64 (.f64 K (+.f64 m n)) 2)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(+.f64 (.f64 (.f64 m K) (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 (.f64 n K) (pow.f64 (.f64 K (+.f64 m n)) 2)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))) 1)
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(.f64 (.f64 K (+.f64 m n)) (pow.f64 (*.f64 K (+.f64 m n)) 2))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(*.f64 (pow.f64 K 3) (pow.f64 (+.f64 m n) 3))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(*.f64 (pow.f64 (+.f64 m n) 3) (pow.f64 K 3))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (*.f64 K (+.f64 m n)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(.f64 1 (pow.f64 (.f64 K (+.f64 m n)) 3))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(.f64 (pow.f64 (.f64 K (+.f64 m n)) 3/2) (pow.f64 (*.f64 K (+.f64 m n)) 3/2))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 2) 3) (*.f64 K (+.f64 m n)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 3) (pow.f64 (sqrt.f64 (*.f64 K (+.f64 m n))) 3))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(sqrt.f64 (pow.f64 (*.f64 K (+.f64 m n)) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3))))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3) 3))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(exp.f64 (.f64 3 (log.f64 (.f64 K (+.f64 m n)))))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 K (+.f64 m n)))) 1))
(pow.f64 (*.f64 K (+.f64 m n)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 K (+.f64 m n)) 3)))
(pow.f64 (*.f64 K (+.f64 m n)) 3)

eval1.9s (8.6%)

Compiler: Compiled 102393 to 52914 computations (48.3% saved)

prune995.0ms (4.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	2794	19	2813
Fresh	4	0	4
Picked	5	0	5
Done	0	0	0
Total	2803	19	2822

Accuracy

99.6%

Counts

2822 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	32.0%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (neg.f64 l)))
	33.9%	(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
▶	72.2%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l)))
	25.3%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 m (-.f64 (*.f64 n 1/2) M))) l) (-.f64 m n))))
	52.3%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M (-.f64 m M)))))
	36.4%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 m (-.f64 M (.f64 1/2 n)))))
▶	7.6%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
	22.5%	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) (exp.f64 (neg.f64 l)))
	32.0%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
▶	32.0%	(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
	32.0%	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
	34.3%	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (neg.f64 l)))
▶	31.2%	(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
	33.5%	(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (exp.f64 (neg.f64 l)))
	33.9%	(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (neg.f64 l)))
	54.2%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
▶	60.6%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	56.8%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
	37.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))

Compiler

Compiled 766 to 574 computations (25.1% saved)

localize1.1s (5.1%)

Localize:

Found 18 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
	100.0%	(exp.f64 (*.f64 (pow.f64 m 2) -1/4))
	99.7%	(*.f64 (pow.f64 m 2) -1/4)
	100.0%	(*.f64 K (+.f64 m n))
✓	99.1%	(/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n))))
✓	99.0%	(/.f64 2 (*.f64 K (+.f64 m n)))
✓	40.8%	(cos.f64 (-.f64 (/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n)))) M))
✓	100.0%	(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
✓	100.0%	(.f64 K (.f64 (+.f64 m n) 1/2))
✓	41.5%	(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
	100.0%	(/.f64 (*.f64 K (+.f64 m n)) 2)
	100.0%	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	100.0%	(*.f64 K (+.f64 m n))
	40.8%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
	100.0%	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
	100.0%	(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))
	100.0%	(*.f64 K (+.f64 m n))
	40.8%	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 351 to 162 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 760.0ms

Operation ival-sub, time spent: 213.0ms, 28.0% of total-time

Operation ival-mult, time spent: 160.0ms, 21.0% of total-time

Operation ival-cos, time spent: 126.0ms, 17.0% of total-time

Operation ival-div, time spent: 78.0ms, 10.0% of total-time

Operation ival-add, time spent: 77.0ms, 10.0% of total-time

Operation ival-pow, time spent: 39.0ms, 5.0% of total-time

Operation ival-exp, time spent: 36.0ms, 5.0% of total-time

Operation const, time spent: 19.0ms, 2.0% of total-time

Operation ival-neg, time spent: 11.0ms, 1.0% of total-time

series28.0ms (0.1%)

Counts

7 → 252

Calls

66 calls:

Time	Variable		Point	Expression
6.0ms	l	@	inf	(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
1.0ms	M	@	inf	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
1.0ms	n	@	0	(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
1.0ms	m	@	0	(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
1.0ms	m	@	inf	(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))

rewrite220.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`expm1-udef`
792×	`log1p-udef`
436×	`associate-r`
408×	`log1p-expm1-u`
278×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	239
1	501	235
2	6724	235

Stop Event

1×	node limit

Counts

7 → 180

Calls

Call 1

Inputs
(cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))
(.f64 K (.f64 (+.f64 m n) 1/2))
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
(cos.f64 (-.f64 (/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n)))) M))
(/.f64 2 (*.f64 K (+.f64 m n)))
(/.f64 1 (/.f64 2 (*.f64 K (+.f64 m n))))
(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 1 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))
(.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)))) 2))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) 2) (cbrt.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)))))
(.f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) (sqrt.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)))))
(pow.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) 3)
(pow.f64 (pow.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2))
(log.f64 (exp.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 3))
(expm1.f64 (log1p.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(exp.f64 (log.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 (.f64 K m) 1/2) (.f64 (.f64 K n) 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) 1)
(/.f64 K (/.f64 2 (+.f64 m n)))
(/.f64 (+.f64 m n) (/.f64 2 K))
(/.f64 1/2 (/.f64 (/.f64 1 (+.f64 m n)) K))
(/.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))
(/.f64 1 (neg.f64 (/.f64 -2 (*.f64 K (+.f64 m n)))))
(/.f64 (*.f64 K (+.f64 m n)) 2)
(/.f64 -1 (/.f64 -2 (*.f64 K (+.f64 m n))))
(/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2)) (/.f64 2 (cbrt.f64 (.f64 K (+.f64 m n)))))
(/.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(/.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (/.f64 2 (sqrt.f64 (.f64 K (+.f64 m n)))))
(/.f64 (*.f64 K (neg.f64 (+.f64 m n))) -2)
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 2)) (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1)
(pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -1)
(pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -3) 1/3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -3))
(cbrt.f64 (.f64 (pow.f64 K 3) (pow.f64 (.f64 (+.f64 m n) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 K 3)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(exp.f64 (log.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l)))) 1)
(/.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (exp.f64 l))
(pow.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l)) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 l)) (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l)) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 3) (pow.f64 (exp.f64 l) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l))))
(exp.f64 (+.f64 l (log.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))))
(exp.f64 (.f64 (+.f64 l (log.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l))))
(+.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))
(+.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) 1) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 1))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))) 1)
(-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 (neg.f64 M))) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 (neg.f64 M))))
(.f64 1 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 1)
(.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 2)) (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))))
(.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) (sqrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) 3) (pow.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) 3)) (+.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M))) (-.f64 (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M))) (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M))) (.f64 (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M)))) (-.f64 (.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M)) (.f64 (sin.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sin.f64 M))))
(pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) 3)
(pow.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 2))
(log.f64 (exp.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)))))
(cbrt.f64 (pow.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
(exp.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
(exp.f64 (.f64 (log.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) M))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (-.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) M))))
(fma.f64 (cos.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cos.f64 M) (.f64 (sin.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (sin.f64 M)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 2 K) (+.f64 m n)))) 1)
(*.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))
(*.f64 2 (/.f64 (/.f64 1 (+.f64 m n)) K))
(*.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 1)
(*.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 2) (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(*.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(.f64 -2 (/.f64 1 (.f64 K (neg.f64 (+.f64 m n)))))
(*.f64 (/.f64 (/.f64 1 (+.f64 m n)) K) 2)
(*.f64 (/.f64 2 K) (/.f64 1 (+.f64 m n)))
(.f64 (/.f64 (/.f64 2 K) (+.f64 (pow.f64 m 3) (pow.f64 n 3))) (fma.f64 m m (.f64 n (-.f64 n m))))
(*.f64 (/.f64 (/.f64 2 K) (-.f64 (pow.f64 m 2) (pow.f64 n 2))) (-.f64 m n))
(pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) -1)
(pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 1)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 2)
(sqrt.f64 (/.f64 4 (pow.f64 (*.f64 K (+.f64 m n)) 2)))
(log.f64 (exp.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 2 K) (+.f64 m n)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(exp.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 2 K) (+.f64 m n))))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 (.f64 K m) 1/2) (.f64 (.f64 K n) 1/2))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))) 1)
(.f64 K (.f64 (+.f64 m n) 1/2))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (+.f64 m n) (.f64 1/2 K))
(.f64 1/2 (.f64 K (+.f64 m n)))
(*.f64 1/2 (pow.f64 (/.f64 (/.f64 1 (+.f64 m n)) K) -1))
(.f64 (.f64 (+.f64 m n) 1/2) K)
(.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) 1)
(.f64 1 (.f64 K (*.f64 (+.f64 m n) 1/2)))
(.f64 (.f64 K (+.f64 m n)) 1/2)
(.f64 -1 (/.f64 1 (/.f64 -2 (.f64 K (+.f64 m n)))))
(.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cbrt.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4)) (cbrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) K))
(.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 1/2))
(.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))
(.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) K))
(.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 1/2))
(.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 -1/2 (.f64 K (neg.f64 (+.f64 m n))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(.f64 (.f64 K 1/2) (+.f64 m n))
(.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 m n) 1/2)))
(.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
(.f64 (.f64 (*.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K))
(.f64 (.f64 (*.f64 (+.f64 m n) 1/2) (sqrt.f64 K)) (sqrt.f64 K))
(.f64 (.f64 1/2 K) (+.f64 m n))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2))) (cbrt.f64 (.f64 K (+.f64 m n))))
(.f64 (.f64 1/2 (sqrt.f64 (.f64 K (+.f64 m n)))) (sqrt.f64 (.f64 K (+.f64 m n))))
(*.f64 (/.f64 1 (/.f64 2 K)) (+.f64 m n))
(pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1)
(pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -1)
(pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 3)
(pow.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -3) 1/3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -3))
(cbrt.f64 (.f64 (pow.f64 K 3) (pow.f64 (.f64 (+.f64 m n) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 K 3)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(exp.f64 (log.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1))
(log1p.f64 (expm1.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))))) 1)
(pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 m 2)) -1/8) (sqrt.f64 (cos.f64 M))) 2)
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 m 2)) -1/2) (pow.f64 (cos.f64 M) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) (cos.f64 M)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) 3) (pow.f64 (cos.f64 M) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))))
(exp.f64 (+.f64 (*.f64 (pow.f64 m 2) -1/4) (log.f64 (cos.f64 M))))
(exp.f64 (.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) (log.f64 (cos.f64 M))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))))

simplify951.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1384×	`associate-r`
1164×	`associate-l`
998×	`fma-def`
658×	`*-commutative`
638×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	660	20607
1	1738	20030
2	6545	19992

Stop Event

1×	node limit

Counts

432 → 371

Calls

Call 1

Inputs
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))) (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 (+.f64 m n) 6))) (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K n)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (*.f64 K n)))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (.f64 K n)))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (.f64 1/2 (.f64 K n))))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (.f64 K n)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (.f64 1/2 (.f64 K n)))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (sin.f64 (.f64 1/2 (*.f64 K n)))))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 1/2 (.f64 K m)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (.f64 1/2 (*.f64 K m)))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (.f64 1/2 (.f64 K m)))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (.f64 1/2 (.f64 K m))))))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 n 3) (sin.f64 (.f64 1/2 (*.f64 K m)))))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 1/2 (.f64 K n))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K m))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K n))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 1/2 (.f64 K n))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(exp.f64 (neg.f64 l))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))))) 1)
(pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 1)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 m 2)) -1/8) (sqrt.f64 (cos.f64 M))) 2)
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 m 2)) -1/2) (pow.f64 (cos.f64 M) 2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) (cos.f64 M)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) 3) (pow.f64 (cos.f64 M) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))))
(exp.f64 (+.f64 (*.f64 (pow.f64 m 2) -1/4) (log.f64 (cos.f64 M))))
(exp.f64 (.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) (log.f64 (cos.f64 M))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))))

Outputs
1
(+.f64 1 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))))
(+.f64 1 (.f64 (.f64 -1/8 (pow.f64 K 2)) (pow.f64 (+.f64 m n) 2)))
(fma.f64 -1/8 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1)
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))) (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)))))
(+.f64 1 (fma.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)) (.f64 (*.f64 1/384 (pow.f64 K 4)) (pow.f64 (+.f64 m n) 4))))
(+.f64 (fma.f64 -1/8 (pow.f64 (.f64 K (+.f64 m n)) 2) 1) (.f64 (pow.f64 (+.f64 m n) 4) (*.f64 1/384 (pow.f64 K 4))))
(+.f64 1 (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2))) (+.f64 (.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 (+.f64 m n) 6))) (.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4))))))
(+.f64 1 (fma.f64 -1/8 (.f64 (pow.f64 K 2) (pow.f64 (+.f64 m n) 2)) (fma.f64 -1/46080 (.f64 (pow.f64 K 6) (pow.f64 (+.f64 m n) 6)) (.f64 (.f64 1/384 (pow.f64 K 4)) (pow.f64 (+.f64 m n) 4)))))
(+.f64 (fma.f64 -1/8 (pow.f64 (.f64 K (+.f64 m n)) 2) 1) (fma.f64 1/384 (.f64 (pow.f64 K 4) (pow.f64 (+.f64 m n) 4)) (.f64 (pow.f64 K 6) (.f64 (pow.f64 (+.f64 m n) 6) -1/46080))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K n)))
(cos.f64 (.f64 K (.f64 n 1/2)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (*.f64 K n)))))))
(+.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 K (*.f64 n 1/2))))))
(fma.f64 -1/2 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 K m)) (cos.f64 (.f64 K (.f64 n 1/2))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (.f64 K n)))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (.f64 1/2 (.f64 K n))))))))
(+.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (fma.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 K (.f64 n 1/2)))) (.f64 (.f64 -1/8 (pow.f64 K 2)) (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (pow.f64 m 2)))))
(+.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (fma.f64 -1/2 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 K m)) (.f64 (pow.f64 K 2) (.f64 (.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (pow.f64 m 2)) -1/8))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K n))) (+.f64 (.f64 -1/2 (.f64 K (.f64 m (sin.f64 (.f64 1/2 (.f64 K n)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 m 2) (cos.f64 (.f64 1/2 (.f64 K n)))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 m 3) (sin.f64 (.f64 1/2 (*.f64 K n)))))))))
(+.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (fma.f64 -1/2 (.f64 (.f64 K m) (sin.f64 (.f64 K (.f64 n 1/2)))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (pow.f64 m 2))) (.f64 1/48 (.f64 (.f64 (pow.f64 K 3) (pow.f64 m 3)) (sin.f64 (.f64 K (*.f64 n 1/2))))))))
(+.f64 (fma.f64 -1/2 (.f64 (sin.f64 (.f64 K (.f64 n 1/2))) (.f64 K m)) (cos.f64 (.f64 K (.f64 n 1/2)))) (fma.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (cos.f64 (.f64 K (.f64 n 1/2))) (pow.f64 m 2))) (.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 m 3))) (sin.f64 (.f64 K (*.f64 n 1/2))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 n (*.f64 -1 m)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K m)))
(cos.f64 (.f64 K (.f64 m 1/2)))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (.f64 1/2 (*.f64 K m)))))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (.f64 K (*.f64 m 1/2))))))
(fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (.f64 K (.f64 m 1/2)))) (cos.f64 (.f64 K (.f64 m 1/2))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (.f64 1/2 (.f64 K m)))))) (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (.f64 1/2 (.f64 K m))))))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (.f64 K (.f64 m 1/2)))) (.f64 -1/8 (.f64 (.f64 (pow.f64 K 2) (pow.f64 n 2)) (cos.f64 (.f64 K (*.f64 m 1/2)))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (.f64 K (.f64 m 1/2)))) (cos.f64 (.f64 K (.f64 m 1/2)))) (.f64 -1/8 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (*.f64 (pow.f64 K 2) (pow.f64 n 2)))))
(+.f64 (cos.f64 (.f64 1/2 (.f64 K m))) (+.f64 (.f64 -1/2 (.f64 K (.f64 n (sin.f64 (.f64 1/2 (.f64 K m)))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (pow.f64 n 2) (cos.f64 (.f64 1/2 (.f64 K m)))))) (.f64 1/48 (.f64 (pow.f64 K 3) (.f64 (pow.f64 n 3) (sin.f64 (.f64 1/2 (*.f64 K m)))))))))
(+.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (.f64 K (.f64 m 1/2)))) (fma.f64 -1/8 (.f64 (.f64 (pow.f64 K 2) (pow.f64 n 2)) (cos.f64 (.f64 K (.f64 m 1/2)))) (.f64 1/48 (.f64 (.f64 (pow.f64 K 3) (pow.f64 n 3)) (sin.f64 (.f64 K (*.f64 m 1/2))))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 K n) (sin.f64 (.f64 K (.f64 m 1/2)))) (cos.f64 (.f64 K (.f64 m 1/2)))) (fma.f64 -1/8 (.f64 (cos.f64 (.f64 K (.f64 m 1/2))) (.f64 (pow.f64 K 2) (pow.f64 n 2))) (.f64 (.f64 1/48 (.f64 (pow.f64 K 3) (pow.f64 n 3))) (sin.f64 (.f64 K (*.f64 m 1/2))))))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (+.f64 m n))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(cos.f64 (.f64 1/2 (.f64 K (-.f64 m (*.f64 -1 n)))))
(cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2)))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K n))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K m))
(.f64 K (.f64 m 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K n))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K n))
(.f64 K (.f64 n 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(+.f64 (.f64 1/2 (.f64 K m)) (.f64 1/2 (.f64 K n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(exp.f64 (neg.f64 l))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (pow.f64 K 2) (*.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2)))))
(+.f64 (exp.f64 (neg.f64 l)) (.f64 -1/8 (.f64 (*.f64 (pow.f64 K 2) (exp.f64 (neg.f64 l))) (pow.f64 (+.f64 m n) 2))))
(fma.f64 -1/8 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l)))
(+.f64 (exp.f64 (neg.f64 l)) (+.f64 (.f64 -1/8 (.f64 (pow.f64 K 2) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 2)))) (.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (exp.f64 (neg.f64 l)) (pow.f64 (+.f64 m n) 4))))))
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(+.f64 (fma.f64 -1/8 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l))) (.f64 (.f64 (pow.f64 (+.f64 m n) 4) (*.f64 1/384 (pow.f64 K 4))) (exp.f64 (neg.f64 l))))
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(+.f64 (fma.f64 -1/8 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) (exp.f64 (neg.f64 l))) (exp.f64 (neg.f64 l))) (fma.f64 1/384 (.f64 (pow.f64 K 4) (.f64 (pow.f64 (+.f64 m n) 4) (exp.f64 (neg.f64 l)))) (.f64 (pow.f64 K 6) (.f64 (*.f64 (pow.f64 (+.f64 m n) 6) (exp.f64 (neg.f64 l))) -1/46080))))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(/.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(/.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(/.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(/.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(/.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(/.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
(/.f64 (cos.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 K (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (exp.f64 (neg.f64 l)) (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))))
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(exp.f64 (log.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(.f64 (+.f64 m n) (.f64 K 1/2))
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(.f64 (+.f64 m n) (.f64 K 1/2))
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(.f64 K (.f64 (+.f64 m n) 1/2))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (+.f64 m n) (.f64 1/2 K))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1/2 (.f64 K (+.f64 m n)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(*.f64 1/2 (pow.f64 (/.f64 (/.f64 1 (+.f64 m n)) K) -1))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 (+.f64 m n) 1/2) K)
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 K (*.f64 (+.f64 m n) 1/2)) 1)
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 1 (.f64 K (*.f64 (+.f64 m n) 1/2)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 K (+.f64 m n)) 1/2)
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 -1 (/.f64 1 (/.f64 -2 (.f64 K (+.f64 m n)))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (cbrt.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cbrt.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4)) (cbrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))
(.f64 (cbrt.f64 (.f64 (+.f64 m n) (.f64 K 1/2))) (cbrt.f64 (.f64 (pow.f64 (*.f64 K (+.f64 m n)) 2) 1/4)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2) (.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) K))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) 1/2))
(.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 1/2 (cbrt.f64 (.f64 K (+.f64 m n)))))
(.f64 1/2 (.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2)) (cbrt.f64 (.f64 K (+.f64 m n)))))
(.f64 (pow.f64 (cbrt.f64 K) 2) (.f64 (cbrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) (.f64 (sqrt.f64 (.f64 (+.f64 m n) 1/2)) K))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (sqrt.f64 (.f64 K (+.f64 m n))) (.f64 (sqrt.f64 (.f64 K (+.f64 m n))) 1/2))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (sqrt.f64 K) (.f64 (sqrt.f64 K) (*.f64 (+.f64 m n) 1/2)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 -1/2 (.f64 K (neg.f64 (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(.f64 (+.f64 m n) (.f64 K 1/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1) (pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(pow.f64 (sqrt.f64 (/.f64 2 (*.f64 K (+.f64 m n)))) -2)
(pow.f64 (sqrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -2)
(.f64 (.f64 K 1/2) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 K (pow.f64 (cbrt.f64 (.f64 (+.f64 m n) 1/2)) 2)) (cbrt.f64 (.f64 (+.f64 m n) 1/2)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 K (sqrt.f64 (.f64 (+.f64 m n) 1/2))) (sqrt.f64 (.f64 (+.f64 m n) 1/2)))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 (*.f64 (+.f64 m n) 1/2) (pow.f64 (cbrt.f64 K) 2)) (cbrt.f64 K))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 (*.f64 (+.f64 m n) 1/2) (sqrt.f64 K)) (sqrt.f64 K))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 1/2 K) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 K 1/2))
(.f64 (.f64 1/2 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2))) (cbrt.f64 (.f64 K (+.f64 m n))))
(.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2)) (.f64 1/2 (cbrt.f64 (.f64 K (+.f64 m n)))))
(.f64 1/2 (.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 2)) (cbrt.f64 (.f64 K (+.f64 m n)))))
(.f64 (.f64 1/2 (sqrt.f64 (.f64 K (+.f64 m n)))) (sqrt.f64 (.f64 K (+.f64 m n))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(*.f64 (/.f64 1 (/.f64 2 K)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 K 1/2))
(pow.f64 (.f64 K (.f64 (+.f64 m n) 1/2)) 1)
(.f64 (+.f64 m n) (.f64 K 1/2))
(pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -1)
(.f64 (+.f64 m n) (.f64 K 1/2))
(pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 3)
(.f64 (+.f64 m n) (.f64 K 1/2))
(pow.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -3) 1/3)
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 K (+.f64 m n))) -3))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -3))
(pow.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 m n) 1/2))) 2)
(.f64 (+.f64 m n) (.f64 K 1/2))
(sqrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 2) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 m n)) K))
(.f64 (+.f64 m n) (.f64 K 1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 (+.f64 m n) 1/2)))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 2 K) (+.f64 m n)) -3))
(cbrt.f64 (pow.f64 (/.f64 2 (*.f64 K (+.f64 m n))) -3))
(cbrt.f64 (.f64 (pow.f64 K 3) (pow.f64 (.f64 (+.f64 m n) 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 K 3) (.f64 (pow.f64 (+.f64 m n) 3) 1/8)))
(cbrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8))
(cbrt.f64 (.f64 (pow.f64 (.f64 (+.f64 m n) 1/2) 3) (pow.f64 K 3)))
(cbrt.f64 (.f64 (pow.f64 K 3) (.f64 (pow.f64 (+.f64 m n) 3) 1/8)))
(cbrt.f64 (.f64 (pow.f64 (.f64 K (+.f64 m n)) 3) 1/8))
(expm1.f64 (log1p.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(exp.f64 (log.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) -1))
(.f64 (+.f64 m n) (.f64 K 1/2))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1))
(.f64 (+.f64 m n) (.f64 K 1/2))
(log1p.f64 (expm1.f64 (.f64 K (.f64 (+.f64 m n) 1/2))))
(.f64 (+.f64 m n) (.f64 K 1/2))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))))) 1)
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 1)
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))) 3)
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(pow.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 3) 1/3)
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(pow.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 m 2)) -1/8) (sqrt.f64 (cos.f64 M))) 2)
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(sqrt.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 m 2)) -1/2) (pow.f64 (cos.f64 M) 2)))
(sqrt.f64 (*.f64 (pow.f64 (cos.f64 M) 2) (pow.f64 (exp.f64 (pow.f64 m 2)) -1/2)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) (cos.f64 M)))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))))))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2))) 3))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 M) 3) (pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) 3)))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) 3) (pow.f64 (cos.f64 M) 3)))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(exp.f64 (+.f64 (*.f64 (pow.f64 m 2) -1/4) (log.f64 (cos.f64 M))))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(exp.f64 (.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) (log.f64 (cos.f64 M))) 1))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 M) (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)))))
(*.f64 (pow.f64 (exp.f64 -1/4) (pow.f64 m 2)) (cos.f64 M))

eval748.0ms (3.3%)

Compiler: Compiled 44716 to 25089 computations (43.9% saved)

prune313.0ms (1.4%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	1498	27	1525
Fresh	11	3	14
Picked	5	0	5
Done	0	0	0
Total	1514	30	1544

Accuracy

99.6%

Counts

1544 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	17.8%	(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l))) 3)
	25.1%	(.f64 (fma.f64 -1/8 (pow.f64 (.f64 K (+.f64 m n)) 2) 1) (exp.f64 (neg.f64 l)))
	7.4%	(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))
▶	7.5%	(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) 1)
	30.8%	(*.f64 (cos.f64 (/.f64 (+.f64 m n) (/.f64 2 K))) (exp.f64 (neg.f64 l)))
	30.8%	(*.f64 (cos.f64 (/.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
	31.2%	(*.f64 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 1 (+.f64 m n)) K))) (exp.f64 (neg.f64 l)))
	52.3%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M (-.f64 m M)))))
	36.4%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 m (-.f64 M (.f64 1/2 n)))))
	7.7%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
	6.7%	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) 1)
▶	7.6%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
	32.1%	(*.f64 (cos.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 3)) M)) (exp.f64 (neg.f64 l)))
	33.9%	(*.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 2 K) n)) M)) (exp.f64 (neg.f64 l)))
	7.6%	(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
	7.6%	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
	7.6%	(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
	7.4%	(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
	17.8%	(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l))
	7.6%	(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
▶	33.5%	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
	33.9%	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	7.6%	(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
	7.6%	(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
▶	87.3%	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l)))
	37.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	8.0%	(*.f64 (cos.f64 M) 1)
	17.6%	(fabs.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l)))
	60.6%	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
▶	36.5%	(exp.f64 (neg.f64 l))

Compiler

Compiled 1032 to 808 computations (21.7% saved)

localize708.0ms (3.2%)

Localize:

Found 11 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 -1/2 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))
✓	99.8%	(*.f64 K (neg.f64 (sin.f64 M)))
✓	93.2%	(.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n))
✓	100.0%	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
✓	54.5%	(cos.f64 (.f64 K (.f64 n 1/2)))
✓	100.0%	(/.f64 2 (+.f64 m n))
✓	100.0%	(-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)
✓	99.7%	(/.f64 K (/.f64 2 (+.f64 m n)))
✓	40.8%	(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))
✓	100.0%	(-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l)
	100.0%	(.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))

Compiler

Compiled 270 to 124 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 503.0ms

Operation ival-sub, time spent: 165.0ms, 33.0% of total-time

Operation ival-mult, time spent: 120.0ms, 24.0% of total-time

Operation ival-cos, time spent: 71.0ms, 14.0% of total-time

Operation ival-add, time spent: 61.0ms, 12.0% of total-time

Operation ival-div, time spent: 38.0ms, 8.0% of total-time

Operation ival-sin, time spent: 14.0ms, 3.0% of total-time

Operation ival-neg, time spent: 13.0ms, 3.0% of total-time

Operation const, time spent: 12.0ms, 2.0% of total-time

Operation ival-exp, time spent: 9.0ms, 2.0% of total-time

series44.0ms (0.2%)

Counts

10 → 384

Calls

96 calls:

Time	Variable		Point	Expression
4.0ms	m	@	0	(/.f64 2 (+.f64 m n))
3.0ms	m	@	-inf	(.f64 -1/2 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))
2.0ms	m	@	inf	(.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n))
1.0ms	K	@	0	(.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n))
1.0ms	l	@	inf	(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))

rewrite138.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

296×	`log1p-expm1-u`
296×	`add-cube-cbrt`
296×	`expm1-log1p-u`
293×	`add-exp-log`
293×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	358
1	624	338

Stop Event

1×	node limit

Counts

10 → 253

Calls

Call 1

Inputs
(-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l)
(cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M))
(/.f64 K (/.f64 2 (+.f64 m n)))
(-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)
(/.f64 2 (+.f64 m n))
(cos.f64 (.f64 K (.f64 n 1/2)))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n))
(*.f64 K (neg.f64 (sin.f64 M)))
(.f64 -1/2 (.f64 (*.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))

Outputs
(+.f64 (*.f64 (fma.f64 n 1/2 (neg.f64 M)) (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m)) l)
(+.f64 (fma.f64 (fma.f64 n 1/2 (neg.f64 M)) (neg.f64 (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m)) l) (fma.f64 (neg.f64 (sqrt.f64 l)) (sqrt.f64 l) l))
(+.f64 (fma.f64 (fma.f64 n 1/2 (neg.f64 M)) (neg.f64 (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m)) (neg.f64 (.f64 l 1))) (fma.f64 l 1 (.f64 l 1)))
(+.f64 (fma.f64 (fma.f64 n 1/2 (neg.f64 M)) (neg.f64 (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m)) (neg.f64 (.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2)))) (fma.f64 (neg.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2))))
(+.f64 (fma.f64 1 (.f64 (fma.f64 n 1/2 (neg.f64 M)) (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m)) (neg.f64 (.f64 l 1))) (fma.f64 l 1 (*.f64 l 1)))
(+.f64 (fma.f64 1 (.f64 (fma.f64 n 1/2 (neg.f64 M)) (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m)) (neg.f64 (.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2)))) (fma.f64 (neg.f64 (cbrt.f64 l)) (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (pow.f64 (cbrt.f64 l) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 n 1/2 (neg.f64 M)) (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m))) 2) (cbrt.f64 (.f64 (fma.f64 n 1/2 (neg.f64 M)) (+.f64 (fma.f64 n 1/2 (neg.f64 M)) m))) (neg.f64 (.f64 l 1))) (fma.f64 l 1 (.f64 l 1)))
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(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2)))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 (.f64 M 1))) (fma.f64 (neg.f64 M) 1 (.f64 M 1)))
(+.f64 (fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2)))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2))))
(+.f64 (fma.f64 (.f64 K 1/2) (+.f64 n m) (neg.f64 (.f64 M 1))) (fma.f64 (neg.f64 M) 1 (*.f64 M 1)))
(+.f64 (fma.f64 (.f64 K 1/2) (+.f64 n m) (neg.f64 (.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2)))) (fma.f64 (neg.f64 (cbrt.f64 M)) (pow.f64 (cbrt.f64 M) 2) (*.f64 (cbrt.f64 M) (pow.f64 (cbrt.f64 M) 2))))
(.f64 1 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2) (cbrt.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) (sqrt.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))
(.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 3) (pow.f64 M 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 M M (.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))))
(.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 M 2)) (/.f64 1 (fma.f64 (.f64 K 1/2) (+.f64 n m) M)))
(.f64 (+.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)) (-.f64 (sqrt.f64 (.f64 K (*.f64 (+.f64 n m) 1/2))) (sqrt.f64 M)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 M M (.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))) (-.f64 (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 3) (pow.f64 M 3))))
(/.f64 1 (/.f64 (fma.f64 (.f64 K 1/2) (+.f64 n m) M) (-.f64 (pow.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) 2) (pow.f64 M 2))))
(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 3) (pow.f64 M 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 M M (.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))))
(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 M 2)) (fma.f64 (*.f64 K 1/2) (+.f64 n m) M))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 3) (pow.f64 M 3))) (neg.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 M M (.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 M 2))) (neg.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) M)))
(/.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 3) (pow.f64 (neg.f64 M) 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (-.f64 (.f64 (neg.f64 M) (neg.f64 M)) (.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M)))))
(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 (neg.f64 M) (neg.f64 M))) (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) (neg.f64 M)))
(pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 1)
(pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)
(sqrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 2))
(log.f64 (exp.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (log.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M))
(fma.f64 1 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 M))
(fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 M))
(fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 n m)))) 1)
(*.f64 2 (/.f64 1 (+.f64 n m)))
(*.f64 1 (/.f64 2 (+.f64 n m)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 n m))) 2) (cbrt.f64 (/.f64 2 (+.f64 n m))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 n m))) (sqrt.f64 (/.f64 2 (+.f64 n m))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 n m))))
(pow.f64 (/.f64 2 (+.f64 n m)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 n m))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 n m)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 n m))) 2)
(pow.f64 (*.f64 (+.f64 n m) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 n m) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 n m))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 n m)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 n m)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 n m))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 n m))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 n m))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 n m))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 K n) 1/2)))) 1)
(.f64 1 (cos.f64 (.f64 (*.f64 K n) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) 2) (cbrt.f64 (cos.f64 (.f64 (*.f64 K n) 1/2))))
(.f64 (sqrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) (sqrt.f64 (cos.f64 (.f64 (*.f64 K n) 1/2))))
(pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 (.f64 K n) 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(exp.f64 (log.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (*.f64 K n) 1/2))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)))) 1)
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 l)) (cos.f64 (.f64 (.f64 K n) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) 3) (pow.f64 (exp.f64 l) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))))
(exp.f64 (+.f64 l (log.f64 (cos.f64 (.f64 (.f64 K n) 1/2)))))
(exp.f64 (.f64 (+.f64 l (log.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))))
(+.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) n))
(+.f64 (.f64 (.f64 K (sin.f64 M)) n) (.f64 (.f64 K (sin.f64 M)) m))
(+.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M))))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 K (sin.f64 M)) m) 3) (pow.f64 (.f64 (.f64 K (sin.f64 M)) n) 3)) (+.f64 (.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) m)) (-.f64 (.f64 (.f64 (.f64 K (sin.f64 M)) n) (.f64 (.f64 K (sin.f64 M)) n)) (.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (*.f64 K (sin.f64 M)) n)))))
(/.f64 (+.f64 (pow.f64 (.f64 m (.f64 K (sin.f64 M))) 3) (pow.f64 (.f64 n (.f64 K (sin.f64 M))) 3)) (+.f64 (.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 m (.f64 K (sin.f64 M)))) (-.f64 (.f64 (.f64 n (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M)))) (.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 n (*.f64 K (sin.f64 M)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) m)) (.f64 (.f64 (.f64 K (sin.f64 M)) n) (.f64 (.f64 K (sin.f64 M)) n))) (-.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) n)))
(/.f64 (-.f64 (.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 m (.f64 K (sin.f64 M)))) (.f64 (.f64 n (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M))))) (-.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M)))))
(pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 1)
(pow.f64 (cbrt.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) 3)
(pow.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) 2)
(neg.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))
(sqrt.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 n m)) (*.f64 K (sin.f64 M))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))))
(cbrt.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 n m) 3) (pow.f64 (.f64 K (sin.f64 M)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 K (sin.f64 M)) 3) (pow.f64 (+.f64 n m) 3)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(exp.f64 (log.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) 1))
(log1p.f64 (expm1.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(fma.f64 m (.f64 K (sin.f64 M)) (.f64 n (*.f64 K (sin.f64 M))))
(fma.f64 (.f64 K (sin.f64 M)) m (.f64 (*.f64 K (sin.f64 M)) n))
(-.f64 0 (*.f64 K (sin.f64 M)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (sin.f64 M)))) 1)
(pow.f64 (*.f64 K (sin.f64 M)) 1)
(pow.f64 (cbrt.f64 (*.f64 K (sin.f64 M))) 3)
(pow.f64 (pow.f64 (*.f64 K (sin.f64 M)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 K (sin.f64 M))) 2)
(neg.f64 (*.f64 K (sin.f64 M)))
(sqrt.f64 (pow.f64 (*.f64 K (sin.f64 M)) 2))
(log.f64 (pow.f64 (exp.f64 K) (sin.f64 M)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 K (sin.f64 M)))))
(cbrt.f64 (pow.f64 (*.f64 K (sin.f64 M)) 3))
(cbrt.f64 (*.f64 (pow.f64 K 3) (pow.f64 (sin.f64 M) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 M) 3) (pow.f64 K 3)))
(expm1.f64 (log1p.f64 (*.f64 K (sin.f64 M))))
(exp.f64 (log.f64 (*.f64 K (sin.f64 M))))
(exp.f64 (.f64 (log.f64 (.f64 K (sin.f64 M))) 1))
(log1p.f64 (expm1.f64 (*.f64 K (sin.f64 M))))
(+.f64 (.f64 -1/2 (.f64 (.f64 K (sin.f64 M)) m)) (.f64 -1/2 (.f64 (.f64 K (sin.f64 M)) n)))
(+.f64 (.f64 -1/2 (.f64 m (.f64 K (sin.f64 M)))) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) n) (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) m))
(+.f64 (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) m) (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) n))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2))) 1)
(pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) 2) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 n m)) (*.f64 K (sin.f64 M))) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))
(exp.f64 (log.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))

simplify357.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1502×	`fma-def`
1424×	`fma-neg`
822×	`*-commutative`
484×	`+-commutative`
428×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	900	31747
1	2587	29659
2	7809	29437

Stop Event

1×	node limit

Counts

637 → 563

Calls

Call 1

Inputs
(.f64 -1 (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M)))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1 (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M))))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(.f64 -1 (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n))))))
(+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (.f64 -1 (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n)))))))
(+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (+.f64 (.f64 -1 (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n)))))) (.f64 -1 (pow.f64 M 2))))
(+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (+.f64 (.f64 -1 (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n)))))) (.f64 -1 (pow.f64 M 2))))
(*.f64 -1 (pow.f64 M 2))
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(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 3) (pow.f64 M 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 M M (.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))))
(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 M 2)) (fma.f64 (*.f64 K 1/2) (+.f64 n m) M))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 3) (pow.f64 M 3))) (neg.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (fma.f64 M M (.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (pow.f64 M 2))) (neg.f64 (fma.f64 (*.f64 K 1/2) (+.f64 n m) M)))
(/.f64 (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 3) (pow.f64 (neg.f64 M) 3)) (+.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (-.f64 (.f64 (neg.f64 M) (neg.f64 M)) (.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M)))))
(/.f64 (-.f64 (pow.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) 2) (.f64 (neg.f64 M) (neg.f64 M))) (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) (neg.f64 M)))
(pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 1)
(pow.f64 (cbrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 3)
(pow.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3) 1/3)
(pow.f64 (sqrt.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)) 2)
(sqrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 2))
(log.f64 (exp.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M))))
(cbrt.f64 (pow.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M) 3))
(expm1.f64 (log1p.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (log.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(exp.f64 (.f64 (log.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M)) 1))
(log1p.f64 (expm1.f64 (-.f64 (.f64 K (.f64 (+.f64 n m) 1/2)) M)))
(fma.f64 K (*.f64 (+.f64 n m) 1/2) (neg.f64 M))
(fma.f64 1 (.f64 K (.f64 (+.f64 n m) 1/2)) (neg.f64 M))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) 2) (cbrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 M))
(fma.f64 (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (sqrt.f64 (.f64 K (.f64 (+.f64 n m) 1/2))) (neg.f64 M))
(fma.f64 (*.f64 K 1/2) (+.f64 n m) (neg.f64 M))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2 (+.f64 n m)))) 1)
(*.f64 2 (/.f64 1 (+.f64 n m)))
(*.f64 1 (/.f64 2 (+.f64 n m)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2 (+.f64 n m))) 2) (cbrt.f64 (/.f64 2 (+.f64 n m))))
(*.f64 (sqrt.f64 (/.f64 2 (+.f64 n m))) (sqrt.f64 (/.f64 2 (+.f64 n m))))
(*.f64 -2 (/.f64 1 (neg.f64 (+.f64 n m))))
(pow.f64 (/.f64 2 (+.f64 n m)) 1)
(pow.f64 (cbrt.f64 (/.f64 2 (+.f64 n m))) 3)
(pow.f64 (pow.f64 (/.f64 2 (+.f64 n m)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 2 (+.f64 n m))) 2)
(pow.f64 (*.f64 (+.f64 n m) 1/2) -1)
(sqrt.f64 (/.f64 4 (pow.f64 (+.f64 n m) 2)))
(log.f64 (exp.f64 (/.f64 2 (+.f64 n m))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2 (+.f64 n m)))))
(cbrt.f64 (pow.f64 (/.f64 2 (+.f64 n m)) 3))
(expm1.f64 (log1p.f64 (/.f64 2 (+.f64 n m))))
(exp.f64 (log.f64 (/.f64 2 (+.f64 n m))))
(exp.f64 (*.f64 (log.f64 (/.f64 2 (+.f64 n m))) 1))
(log1p.f64 (expm1.f64 (/.f64 2 (+.f64 n m))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (.f64 (.f64 K n) 1/2)))) 1)
(.f64 1 (cos.f64 (.f64 (*.f64 K n) 1/2)))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) 2) (cbrt.f64 (cos.f64 (.f64 (*.f64 K n) 1/2))))
(.f64 (sqrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) (sqrt.f64 (cos.f64 (.f64 (*.f64 K n) 1/2))))
(pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 1)
(pow.f64 (cbrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 3) 1/3)
(pow.f64 (sqrt.f64 (cos.f64 (.f64 (.f64 K n) 1/2))) 2)
(sqrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (.f64 (.f64 K n) 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(exp.f64 (log.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 (*.f64 K n) 1/2))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (.f64 (.f64 K n) 1/2))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)))) 1)
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))) 2)
(sqrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 l)) (cos.f64 (.f64 (.f64 K n) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l)) 3))
(cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) 3) (pow.f64 (exp.f64 l) 3)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 l) 3) (pow.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) 3)))
(expm1.f64 (log1p.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))))
(exp.f64 (+.f64 l (log.f64 (cos.f64 (.f64 (.f64 K n) 1/2)))))
(exp.f64 (.f64 (+.f64 l (log.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)))) 1))
(log1p.f64 (expm1.f64 (.f64 (cos.f64 (.f64 (*.f64 K n) 1/2)) (exp.f64 l))))
(+.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) n))
(+.f64 (.f64 (.f64 K (sin.f64 M)) n) (.f64 (.f64 K (sin.f64 M)) m))
(+.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M))))
(-.f64 (exp.f64 (log1p.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 K (sin.f64 M)) m) 3) (pow.f64 (.f64 (.f64 K (sin.f64 M)) n) 3)) (+.f64 (.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) m)) (-.f64 (.f64 (.f64 (.f64 K (sin.f64 M)) n) (.f64 (.f64 K (sin.f64 M)) n)) (.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (*.f64 K (sin.f64 M)) n)))))
(/.f64 (+.f64 (pow.f64 (.f64 m (.f64 K (sin.f64 M))) 3) (pow.f64 (.f64 n (.f64 K (sin.f64 M))) 3)) (+.f64 (.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 m (.f64 K (sin.f64 M)))) (-.f64 (.f64 (.f64 n (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M)))) (.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 n (*.f64 K (sin.f64 M)))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) m)) (.f64 (.f64 (.f64 K (sin.f64 M)) n) (.f64 (.f64 K (sin.f64 M)) n))) (-.f64 (.f64 (.f64 K (sin.f64 M)) m) (.f64 (.f64 K (sin.f64 M)) n)))
(/.f64 (-.f64 (.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 m (.f64 K (sin.f64 M)))) (.f64 (.f64 n (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M))))) (-.f64 (.f64 m (.f64 K (sin.f64 M))) (.f64 n (.f64 K (sin.f64 M)))))
(pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 1)
(pow.f64 (cbrt.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) 3)
(pow.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) 2)
(neg.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))
(sqrt.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 n m)) (*.f64 K (sin.f64 M))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))))
(cbrt.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 3))
(cbrt.f64 (.f64 (pow.f64 (+.f64 n m) 3) (pow.f64 (.f64 K (sin.f64 M)) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 K (sin.f64 M)) 3) (pow.f64 (+.f64 n m) 3)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(exp.f64 (log.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) 1))
(log1p.f64 (expm1.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(fma.f64 m (.f64 K (sin.f64 M)) (.f64 n (*.f64 K (sin.f64 M))))
(fma.f64 (.f64 K (sin.f64 M)) m (.f64 (*.f64 K (sin.f64 M)) n))
(-.f64 0 (*.f64 K (sin.f64 M)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (sin.f64 M)))) 1)
(pow.f64 (*.f64 K (sin.f64 M)) 1)
(pow.f64 (cbrt.f64 (*.f64 K (sin.f64 M))) 3)
(pow.f64 (pow.f64 (*.f64 K (sin.f64 M)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 K (sin.f64 M))) 2)
(neg.f64 (*.f64 K (sin.f64 M)))
(sqrt.f64 (pow.f64 (*.f64 K (sin.f64 M)) 2))
(log.f64 (pow.f64 (exp.f64 K) (sin.f64 M)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 K (sin.f64 M)))))
(cbrt.f64 (pow.f64 (*.f64 K (sin.f64 M)) 3))
(cbrt.f64 (*.f64 (pow.f64 K 3) (pow.f64 (sin.f64 M) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 M) 3) (pow.f64 K 3)))
(expm1.f64 (log1p.f64 (*.f64 K (sin.f64 M))))
(exp.f64 (log.f64 (*.f64 K (sin.f64 M))))
(exp.f64 (.f64 (log.f64 (.f64 K (sin.f64 M))) 1))
(log1p.f64 (expm1.f64 (*.f64 K (sin.f64 M))))
(+.f64 (.f64 -1/2 (.f64 (.f64 K (sin.f64 M)) m)) (.f64 -1/2 (.f64 (.f64 K (sin.f64 M)) n)))
(+.f64 (.f64 -1/2 (.f64 m (.f64 K (sin.f64 M)))) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(+.f64 (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) n) (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) m))
(+.f64 (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) m) (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) n))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2))) 1)
(pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 3)
(pow.f64 (pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 2)
(sqrt.f64 (.f64 (pow.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) 2) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 n m)) (*.f64 K (sin.f64 M))) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2))))
(cbrt.f64 (pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 3))
(expm1.f64 (log1p.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))
(exp.f64 (log.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 1))
(log1p.f64 (expm1.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))

Outputs
(.f64 -1 (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M)))))
(neg.f64 (+.f64 l (*.f64 (neg.f64 M) (-.f64 m M))))
(neg.f64 (-.f64 l (*.f64 M (-.f64 m M))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (.f64 -1 (+.f64 l (.f64 -1 (*.f64 M (-.f64 m M))))))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (neg.f64 (+.f64 l (*.f64 (neg.f64 M) (-.f64 m M)))))
(neg.f64 (fma.f64 n (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)) (-.f64 l (.f64 M (-.f64 m M)))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (fma.f64 -1 (+.f64 l (.f64 (neg.f64 M) (-.f64 m M))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (fma.f64 n (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)) (-.f64 l (.f64 M (-.f64 m M)))) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (fma.f64 -1 (+.f64 l (.f64 (neg.f64 M) (-.f64 m M))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (fma.f64 n (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)) (-.f64 l (.f64 M (-.f64 m M)))) (*.f64 -1/4 (pow.f64 n 2)))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (*.f64 -1/4 (pow.f64 n 2)))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (*.f64 -1/4 (pow.f64 n 2)))
(fma.f64 -1/4 (pow.f64 n 2) (.f64 n (neg.f64 (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (fma.f64 -1 (+.f64 l (.f64 (neg.f64 M) (-.f64 m M))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (fma.f64 n (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)) (-.f64 l (.f64 M (-.f64 m M)))) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (fma.f64 -1 (+.f64 l (.f64 (neg.f64 M) (-.f64 m M))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (fma.f64 n (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)) (-.f64 l (.f64 M (-.f64 m M)))) (*.f64 -1/4 (pow.f64 n 2)))
(*.f64 -1/4 (pow.f64 n 2))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (*.f64 -1/4 (pow.f64 n 2)))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (*.f64 -1/4 (pow.f64 n 2)))
(fma.f64 -1/4 (pow.f64 n 2) (.f64 n (neg.f64 (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)))))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (fma.f64 -1 (+.f64 l (.f64 (neg.f64 M) (-.f64 m M))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (fma.f64 n (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)) (-.f64 l (.f64 M (-.f64 m M)))) (*.f64 -1/4 (pow.f64 n 2)))
(+.f64 (.f64 -1 (.f64 n (+.f64 (.f64 -1/2 M) (.f64 1/2 (-.f64 m M))))) (+.f64 (.f64 -1 (+.f64 l (.f64 -1 (.f64 M (-.f64 m M))))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (.f64 n (fma.f64 -1/2 M (.f64 (-.f64 m M) 1/2))) (fma.f64 -1 (+.f64 l (.f64 (neg.f64 M) (-.f64 m M))) (.f64 -1/4 (pow.f64 n 2))))
(fma.f64 -1 (fma.f64 n (fma.f64 (-.f64 m M) 1/2 (.f64 M -1/2)) (-.f64 l (.f64 M (-.f64 m M)))) (*.f64 -1/4 (pow.f64 n 2)))
(.f64 -1 (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (.f64 1/2 n))))))
(neg.f64 (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 n 1/2))))))
(neg.f64 (fma.f64 1/2 (*.f64 n (fma.f64 n 1/2 m)) l))
(+.f64 (.f64 -1 (.f64 M (+.f64 (.f64 -1 (+.f64 m (.f64 1/2 n))) (.f64 -1/2 n)))) (.f64 -1 (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 1/2 n)))))))
(.f64 -1 (+.f64 (.f64 M (fma.f64 -1 (+.f64 m (.f64 n 1/2)) (.f64 n -1/2))) (+.f64 l (.f64 1/2 (.f64 n (+.f64 m (*.f64 n 1/2)))))))
(neg.f64 (fma.f64 M (-.f64 (.f64 n -1/2) (fma.f64 n 1/2 m)) (fma.f64 1/2 (.f64 n (fma.f64 n 1/2 m)) l)))
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(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(pow.f64 (sqrt.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))) 2)
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(neg.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))
(.f64 K (neg.f64 (.f64 (sin.f64 M) (+.f64 m n))))
(.f64 K (.f64 (sin.f64 (neg.f64 M)) (+.f64 m n)))
(sqrt.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 2))
(sqrt.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 m n))) 2))
(fabs.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 m n))))
(log.f64 (pow.f64 (exp.f64 (+.f64 n m)) (*.f64 K (sin.f64 M))))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))))))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(cbrt.f64 (pow.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) 3))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 n m) 3) (pow.f64 (.f64 K (sin.f64 M)) 3)))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(cbrt.f64 (.f64 (pow.f64 (.f64 K (sin.f64 M)) 3) (pow.f64 (+.f64 n m) 3)))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(expm1.f64 (log1p.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(exp.f64 (log.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(exp.f64 (.f64 (log.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m)))) 1))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(log1p.f64 (expm1.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m)))))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(fma.f64 m (.f64 K (sin.f64 M)) (.f64 n (*.f64 K (sin.f64 M))))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(fma.f64 (.f64 K (sin.f64 M)) m (.f64 (*.f64 K (sin.f64 M)) n))
(.f64 K (.f64 (sin.f64 M) (+.f64 m n)))
(-.f64 0 (*.f64 K (sin.f64 M)))
(*.f64 K (sin.f64 (neg.f64 M)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 K (sin.f64 M)))) 1)
(*.f64 K (sin.f64 M))
(pow.f64 (*.f64 K (sin.f64 M)) 1)
(*.f64 K (sin.f64 M))
(pow.f64 (cbrt.f64 (*.f64 K (sin.f64 M))) 3)
(*.f64 K (sin.f64 M))
(pow.f64 (pow.f64 (*.f64 K (sin.f64 M)) 3) 1/3)
(*.f64 K (sin.f64 M))
(pow.f64 (sqrt.f64 (*.f64 K (sin.f64 M))) 2)
(*.f64 K (sin.f64 M))
(neg.f64 (*.f64 K (sin.f64 M)))
(*.f64 K (sin.f64 (neg.f64 M)))
(sqrt.f64 (pow.f64 (*.f64 K (sin.f64 M)) 2))
(fabs.f64 (*.f64 K (sin.f64 M)))
(log.f64 (pow.f64 (exp.f64 K) (sin.f64 M)))
(*.f64 K (sin.f64 M))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 K (sin.f64 M)))))
(*.f64 K (sin.f64 M))
(cbrt.f64 (pow.f64 (*.f64 K (sin.f64 M)) 3))
(*.f64 K (sin.f64 M))
(cbrt.f64 (*.f64 (pow.f64 K 3) (pow.f64 (sin.f64 M) 3)))
(*.f64 K (sin.f64 M))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 M) 3) (pow.f64 K 3)))
(*.f64 K (sin.f64 M))
(expm1.f64 (log1p.f64 (*.f64 K (sin.f64 M))))
(*.f64 K (sin.f64 M))
(exp.f64 (log.f64 (*.f64 K (sin.f64 M))))
(*.f64 K (sin.f64 M))
(exp.f64 (.f64 (log.f64 (.f64 K (sin.f64 M))) 1))
(*.f64 K (sin.f64 M))
(log1p.f64 (expm1.f64 (*.f64 K (sin.f64 M))))
(*.f64 K (sin.f64 M))
(+.f64 (.f64 -1/2 (.f64 (.f64 K (sin.f64 M)) m)) (.f64 -1/2 (.f64 (.f64 K (sin.f64 M)) n)))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(+.f64 (.f64 -1/2 (.f64 m (.f64 K (sin.f64 M)))) (.f64 -1/2 (.f64 n (.f64 K (sin.f64 M)))))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(+.f64 (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) n) (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) m))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(+.f64 (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) m) (.f64 (.f64 -1/2 (.f64 K (sin.f64 M))) n))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2))) 1)
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 1)
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(pow.f64 (cbrt.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 3)
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(pow.f64 (pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 3) 1/3)
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(pow.f64 (sqrt.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 2)
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(sqrt.f64 (.f64 (pow.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) 2) 1/4))
(sqrt.f64 (.f64 (pow.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 m n))) 2) 1/4))
(sqrt.f64 (pow.f64 (.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 n m)) (*.f64 K (sin.f64 M))) -1/2))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2))))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(cbrt.f64 (pow.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2) 3))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(expm1.f64 (log1p.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(exp.f64 (log.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 K (.f64 (sin.f64 M) (+.f64 n m))) -1/2)) 1))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))
(log1p.f64 (expm1.f64 (.f64 (.f64 K (*.f64 (sin.f64 M) (+.f64 n m))) -1/2)))
(.f64 (.f64 (*.f64 -1/2 K) (sin.f64 M)) (+.f64 m n))
(.f64 (+.f64 m n) (.f64 (sin.f64 M) (*.f64 -1/2 K)))

eval290.0ms (1.3%)

Compiler: Compiled 16776 to 9610 computations (42.7% saved)

prune207.0ms (0.9%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	663	11	674
Fresh	8	17	25
Picked	4	1	5
Done	0	0	0
Total	675	29	704

Accuracy

99.6%

Counts

704 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.5%	(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
	25.1%	(.f64 (fma.f64 -1/8 (pow.f64 (.f64 K (+.f64 m n)) 2) 1) (exp.f64 (neg.f64 l)))
	7.6%	(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))) 3) 1)
	7.4%	(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))
	7.3%	(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
	7.4%	(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M))) 1)
	30.8%	(*.f64 (cos.f64 (/.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
	31.2%	(*.f64 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 1 (+.f64 m n)) K))) (exp.f64 (neg.f64 l)))
	52.3%	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M (-.f64 m M)))))
	6.7%	(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) 1)
	7.6%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
	7.7%	(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
	32.1%	(*.f64 (cos.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 3)) M)) (exp.f64 (neg.f64 l)))
	7.6%	(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
	7.6%	(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
	7.4%	(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
	7.4%	(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
	18.9%	(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (exp.f64 l))
	7.6%	(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
	33.9%	(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
	7.6%	(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
	7.6%	(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
	69.4%	(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 n 1/2))))) l)))
	45.7%	(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))
	70.2%	(.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M))))))
	37.3%	(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
	8.0%	(*.f64 (cos.f64 M) 1)
	60.6%	(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
✓	36.5%	(exp.f64 (neg.f64 l))

Compiler

Compiled 1465 to 900 computations (38.6% saved)

regimes184.0ms (0.8%)

Counts

67 → 1

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (exp.f64 l))
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M))))))
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 (+.f64 m n) (/.f64 2 K))) (exp.f64 (neg.f64 l)))
(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M))) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 2 K) n)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 1 (+.f64 m n)) K))) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 n 1/2))))) l)))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 m (-.f64 M (.f64 1/2 n)))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 m (-.f64 (*.f64 n 1/2) M))) l) (-.f64 m n))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
(fabs.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l)))
(.f64 (fma.f64 -1/8 (pow.f64 (.f64 K (+.f64 m n)) 2) 1) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) 1)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))) 3) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 n 2) -1/4)))
(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M (-.f64 m M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l))) 3)
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 3)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 (.f64 K (+.f64 m n)) 1/2 (neg.f64 M)))) 3) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))

Calls

6 calls:

36.0ms	M
35.0ms	m
35.0ms	K
32.0ms	l
29.0ms	n

Results

Accuracy	Segments	Branch
97.7%	1	`K`
97.7%	1	`m`
97.7%	1	`n`
97.7%	1	`M`
97.7%	1	`l`
97.7%	1	`(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))`

Compiler

Compiled 64 to 48 computations (25% saved)

regimes506.0ms (2.3%)

Counts

61 → 2

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (exp.f64 l))
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M))))))
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 (+.f64 m n) (/.f64 2 K))) (exp.f64 (neg.f64 l)))
(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M))) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 2 K) n)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 1 (+.f64 m n)) K))) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 n 1/2))))) l)))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 m (-.f64 M (.f64 1/2 n)))))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 m (-.f64 (*.f64 n 1/2) M))) l) (-.f64 m n))))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 m 2) -1/4)))
(.f64 (cos.f64 M) (exp.f64 (.f64 (pow.f64 n 2) -1/4)))
(fabs.f64 (.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l)))
(.f64 (fma.f64 -1/8 (pow.f64 (.f64 K (+.f64 m n)) 2) 1) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) 1)
(.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 (.f64 K (*.f64 (+.f64 n m) 1/2)) M))) 3) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 (pow.f64 M 2))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 m 2) -1/4)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (*.f64 (pow.f64 n 2) -1/4)))
(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (+.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (*.f64 M (-.f64 m M)))))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) (-.f64 l (fabs.f64 (-.f64 m n))))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 l))) 3)
(.f64 (cos.f64 (-.f64 (/.f64 (cbrt.f64 (pow.f64 (.f64 K (+.f64 m n)) 3)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (/.f64 2 K) (+.f64 m n))) 3)) M)) (exp.f64 (neg.f64 l)))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (.f64 n 1/2) M) m))) l)))

Calls

5 calls:

168.0ms	l
106.0ms	K
87.0ms	n
63.0ms	m
61.0ms	M

Results

Accuracy	Segments	Branch
87.3%	1	`K`
97.7%	2	`m`
89.6%	2	`M`
89.2%	2	`l`
92.3%	3	`n`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes213.0ms (0.9%)

Counts

42 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (exp.f64 l))
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M))))))
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 (+.f64 m n) (/.f64 2 K))) (exp.f64 (neg.f64 l)))
(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M))) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 2 K) n)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 1 (+.f64 m n)) K))) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 1/2 (.f64 n (+.f64 m (.f64 n 1/2))))) l)))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (cos.f64 M) (.f64 -1/2 (.f64 (.f64 K (neg.f64 (sin.f64 M))) (+.f64 m n)))) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (.f64 m (-.f64 M (.f64 1/2 n)))))

Outputs

(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

(*.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (*.f64 M (-.f64 m M))))))

(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (*.f64 1/2 (*.f64 n (+.f64 m (*.f64 n 1/2))))) l)))

Calls

2 calls:

126.0ms	n
82.0ms	m

Results

Accuracy	Segments	Branch
88.1%	3	`n`
92.0%	3	`m`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes114.0ms (0.5%)

Counts

37 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (exp.f64 l))
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M))))))
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 (+.f64 m n) (/.f64 2 K))) (exp.f64 (neg.f64 l)))
(.f64 (fabs.f64 (cos.f64 (-.f64 (.f64 1/2 (*.f64 K (+.f64 m n))) M))) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 (/.f64 2 K) n)) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1/2 (/.f64 (/.f64 1 (+.f64 m n)) K))) (exp.f64 (neg.f64 l)))
(*.f64 (cos.f64 (/.f64 1 (/.f64 (/.f64 2 K) (+.f64 m n)))) (exp.f64 (neg.f64 l)))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M))))))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))

Calls

2 calls:

56.0ms	M
52.0ms	m

Results

Accuracy	Segments	Branch
77.9%	3	`M`
90.8%	3	`m`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes137.0ms (0.6%)

Counts

27 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (exp.f64 l))
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (exp.f64 l))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))

Calls

4 calls:

53.0ms	m
42.0ms	n
24.0ms	l
14.0ms	K

Results

Accuracy	Segments	Branch
62.5%	3	`n`
60.6%	1	`K`
71.9%	2	`l`
78.7%	3	`m`

Compiler

Compiled 24 to 20 computations (16.7% saved)

regimes75.0ms (0.3%)

Counts

25 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (exp.f64 l))
(/.f64 (cos.f64 (.f64 (.f64 K n) 1/2)) (exp.f64 l))
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 m 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (cos.f64 (.f64 K (*.f64 n 1/2))) (exp.f64 (neg.f64 l)))
(.f64 (+.f64 (.f64 (pow.f64 m 2) -1/4) 1) (cos.f64 M))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(*.f64 (cos.f64 M) (exp.f64 (neg.f64 l)))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Calls

2 calls:

39.0ms	M
33.0ms	m

Results

Accuracy	Segments	Branch
62.5%	3	`M`
76.4%	3	`m`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes36.0ms (0.2%)

Counts

17 → 3

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Outputs
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))
(exp.f64 (neg.f64 l))
(exp.f64 (*.f64 -1/4 (pow.f64 m 2)))

Calls

1 calls:

34.0ms

Results

Accuracy	Segments	Branch
75.7%	3	`m`

Compiler

Compiled 6 to 5 computations (16.7% saved)

regimes45.0ms (0.2%)

Accuracy

Total -19.1b remaining (-47%)

Threshold costs -19.1b (-47%)

Counts

16 → 1

Calls

Call 1

Inputs
(exp.f64 (neg.f64 l))
(*.f64 (cos.f64 M) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 m K))) 1)
(.f64 (cos.f64 (.f64 1/2 (*.f64 n K))) 1)
(.f64 (cos.f64 (.f64 K (*.f64 (+.f64 m n) 1/2))) 1)
(.f64 (cos.f64 (-.f64 (.f64 K (*.f64 n 1/2)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 m)) M)) 1)
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 n)) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K m) 2) M)) 1)
(.f64 (cos.f64 (.f64 n (*.f64 1/2 K))) (+.f64 (neg.f64 l) 1))
(*.f64 (cos.f64 (-.f64 (/.f64 K (/.f64 2 (+.f64 m n))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) 1)
(.f64 (cos.f64 (.f64 (+.f64 m n) (*.f64 K 1/2))) (+.f64 (neg.f64 l) 1))
(.f64 (cos.f64 (-.f64 (.f64 K (/.f64 1 (/.f64 2 (+.f64 m n)))) M)) 1)
(.f64 (cos.f64 (-.f64 (/.f64 1 (/.f64 2 (.f64 K (+.f64 m n)))) M)) 1)
(.f64 (+.f64 (cos.f64 M) (.f64 1/2 (.f64 (.f64 M (+.f64 m n)) K))) 1)

Outputs
(exp.f64 (neg.f64 l))

Calls

5 calls:

9.0ms	m
9.0ms	n
9.0ms	K
8.0ms	l
8.0ms	M

Results

Accuracy	Segments	Branch
36.5%	1	`M`
36.5%	1	`n`
36.5%	1	`K`
36.5%	1	`l`
36.5%	1	`m`

Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch15.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
14.0ms	-6138637885724264000.0	-114511206833059180.0

Results

13.0ms	31×	0	valid
0.0ms	1×	0	valid

Compiler

Compiled 118 to 90 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

Operation ival-sub, time spent: 2.0ms, 34.0% of total-time

Operation ival-add, time spent: 1.0ms, 17.0% of total-time

Operation ival-mult, time spent: 1.0ms, 17.0% of total-time

Operation ival-cos, time spent: 1.0ms, 17.0% of total-time

Operation ival-pow, time spent: 0.0ms, 0.0% of total-time

Operation ival-fabs, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

bsearch77.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
34.0ms	2.2817308107860437e-216	2.6215468619476874e-215
42.0ms	-45867.624657075	-1553.6470000866104

Results

58.0ms	189×	0	valid
8.0ms	10×	1	infinite
2.0ms	7×	0	infinite
0.0ms	1×	0	valid
1.0ms	1×	1	valid

Compiler

Compiled 492 to 378 computations (23.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

Operation ival-sub, time spent: 19.0ms, 40.0% of total-time

Operation ival-cos, time spent: 8.0ms, 17.0% of total-time

Operation ival-div, time spent: 6.0ms, 13.0% of total-time

Operation ival-add, time spent: 4.0ms, 8.0% of total-time

Operation ival-mult, time spent: 3.0ms, 6.0% of total-time

Operation ival-pow, time spent: 3.0ms, 6.0% of total-time

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 2.0% of total-time

bsearch121.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
71.0ms	9.067289031533276e-42	3.900657762316138e-6
50.0ms	-45867.624657075	-1553.6470000866104

Results

90.0ms	255×	0	valid
11.0ms	12×	1	infinite
3.0ms	11×	0	infinite
5.0ms	9×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 637 to 484 computations (24% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

Operation ival-sub, time spent: 33.0ms, 41.0% of total-time

Operation ival-cos, time spent: 16.0ms, 20.0% of total-time

Operation ival-add, time spent: 12.0ms, 15.0% of total-time

Operation ival-mult, time spent: 5.0ms, 6.0% of total-time

Operation ival-div, time spent: 5.0ms, 6.0% of total-time

Operation ival-pow, time spent: 4.0ms, 5.0% of total-time

Operation ival-exp, time spent: 2.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 1.0% of total-time

bsearch94.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
64.0ms	3.109276149891984e-193	5.038894462991956e-175
29.0ms	-2.955161810041247	-0.9370471231492622

Results

74.0ms	219×	0	valid
2.0ms	9×	0	infinite
4.0ms	7×	1	infinite
2.0ms	4×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 452 to 365 computations (19.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

Operation ival-sub, time spent: 19.0ms, 39.0% of total-time

Operation ival-cos, time spent: 7.0ms, 14.0% of total-time

Operation ival-add, time spent: 5.0ms, 10.0% of total-time

Operation ival-div, time spent: 4.0ms, 8.0% of total-time

Operation ival-mult, time spent: 4.0ms, 8.0% of total-time

Operation ival-exp, time spent: 4.0ms, 8.0% of total-time

Operation ival-pow, time spent: 4.0ms, 8.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 2.0% of total-time

bsearch89.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	3.900657762316138e-6	47.98197668341964
29.0ms	-2.955161810041247	-0.9370471231492622

Results

67.0ms	194×	0	valid
3.0ms	13×	0	infinite
5.0ms	9×	1	valid
4.0ms	7×	1	infinite
0.0ms	1×	0	valid

Compiler

Compiled 378 to 324 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-sub, time spent: 20.0ms, 36.0% of total-time

Operation ival-add, time spent: 12.0ms, 22.0% of total-time

Operation ival-cos, time spent: 7.0ms, 13.0% of total-time

Operation ival-div, time spent: 4.0ms, 7.0% of total-time

Operation ival-mult, time spent: 4.0ms, 7.0% of total-time

Operation ival-pow, time spent: 3.0ms, 5.0% of total-time

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 2.0% of total-time

bsearch92.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
59.0ms	3.900657762316138e-6	47.98197668341964
30.0ms	-2.955161810041247	-0.9370471231492622

Results

65.0ms	194×	0	valid
3.0ms	12×	0	infinite
7.0ms	10×	1	infinite
4.0ms	7×	1	valid
0.0ms	1×	0	valid

Compiler

Compiled 336 to 296 computations (11.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-sub, time spent: 18.0ms, 33.0% of total-time

Operation ival-cos, time spent: 15.0ms, 27.0% of total-time

Operation ival-add, time spent: 6.0ms, 11.0% of total-time

Operation ival-mult, time spent: 4.0ms, 7.0% of total-time

Operation ival-div, time spent: 4.0ms, 7.0% of total-time

Operation ival-pow, time spent: 3.0ms, 5.0% of total-time

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

Operation ival-neg, time spent: 1.0ms, 2.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

Operation ival-fabs, time spent: 1.0ms, 2.0% of total-time

simplify84.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

762×	`unsub-neg`
378×	`neg-mul-1`
230×	`distribute-lft-neg-in`
220×	`distribute-neg-out`
142×	`remove-double-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	766
1	150	766
2	226	762
3	303	750
4	385	750
5	445	750
6	560	750
7	1003	750
8	1455	750
9	1480	750
10	1499	750
11	1512	750
12	1531	750
13	1549	750
14	1562	750
15	1567	750
16	1568	750

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(if (<=.f64 m -500000000000000000) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 8538849507653899/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 1/2 (.f64 n (+.f64 m (*.f64 n 1/2))))) l)))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 5902958103587057/4722366482869645213696) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (.f64 n 1/2)))))))
(if (<=.f64 m -6530219459687219/2251799813685248) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 2919961995278205/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))))
(if (<=.f64 m -6530219459687219/2251799813685248) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 47) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))))
(if (<=.f64 m -6530219459687219/2251799813685248) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 47) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))))
(exp.f64 (neg.f64 l))

Outputs
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)) (-.f64 l (fabs.f64 (-.f64 m n))))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (+.f64 (fabs.f64 (-.f64 m n)) (neg.f64 l)) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(*.f64 (cos.f64 M) (exp.f64 (-.f64 (-.f64 (fabs.f64 (-.f64 m n)) l) (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2))))
(if (<=.f64 m -500000000000000000) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 (-.f64 (.f64 n 1/2) M) (+.f64 (-.f64 (*.f64 n 1/2) M) m))) l))))
(if (<=.f64 m -500000000000000000) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (neg.f64 (+.f64 m (-.f64 (*.f64 n 1/2) M)))) l))))
(if (<=.f64 m -500000000000000000) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 (-.f64 (.f64 n 1/2) M) (-.f64 (-.f64 M (*.f64 n 1/2)) m)) l))))
(if (<=.f64 m -500000000000000000) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 (-.f64 m (-.f64 M (.f64 n 1/2))) (-.f64 M (*.f64 n 1/2))) l))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 8538849507653899/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (neg.f64 (.f64 1/2 (.f64 n (+.f64 m (*.f64 n 1/2))))) l)))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 8538849507653899/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 (neg.f64 1/2) (.f64 n (+.f64 m (*.f64 n 1/2)))) l)))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 8538849507653899/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M)))))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 m (*.f64 n 1/2)) (neg.f64 n))) l)))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 8538849507653899/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M (-.f64 m M)) (neg.f64 l)))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 1/2 (.f64 (+.f64 m (*.f64 n 1/2)) (neg.f64 n))) l)))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 8538849507653899/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 M (-.f64 m M)) l))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 1/2 (.f64 n (-.f64 (*.f64 1/2 (neg.f64 n)) m))) l)))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 8538849507653899/1552518092300708935148979488462502555256886017116696611139052038026050952686376886330878408828646477950487730697131073206171580044114814391444287275041181139204454976020849905550265285631598444825262999193716468750892846853816057856) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 M (-.f64 m M)) l))) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 1/2 (.f64 n (-.f64 (*.f64 n (neg.f64 1/2)) m))) l)))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 5902958103587057/4722366482869645213696) (.f64 (cos.f64 M) (exp.f64 (neg.f64 (-.f64 l (.f64 M (-.f64 m M)))))) (.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (.f64 n 1/2)))))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 5902958103587057/4722366482869645213696) (.f64 (cos.f64 M) (exp.f64 (+.f64 (.f64 M (-.f64 m M)) (neg.f64 l)))) (.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (.f64 n 1/2)))))))
(if (<=.f64 m -1560) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 5902958103587057/4722366482869645213696) (.f64 (cos.f64 M) (exp.f64 (-.f64 (.f64 M (-.f64 m M)) l))) (.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (.f64 n 1/2)))))))
(if (<=.f64 m -6530219459687219/2251799813685248) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 2919961995278205/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (.f64 (cos.f64 M) (exp.f64 (.f64 m (-.f64 M (*.f64 n 1/2)))))))
(if (<=.f64 m -6530219459687219/2251799813685248) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 47) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))) (exp.f64 (*.f64 -1/4 (pow.f64 m 2)))))
(if (or (<=.f64 m -6530219459687219/2251799813685248) (not (<=.f64 m 47))) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (.f64 (cos.f64 M) (exp.f64 (neg.f64 l))))
(if (<=.f64 m -6530219459687219/2251799813685248) (exp.f64 (.f64 -1/4 (pow.f64 m 2))) (if (<=.f64 m 47) (exp.f64 (neg.f64 l)) (exp.f64 (.f64 -1/4 (pow.f64 m 2)))))
(if (or (<=.f64 m -6530219459687219/2251799813685248) (not (<=.f64 m 47))) (exp.f64 (*.f64 -1/4 (pow.f64 m 2))) (exp.f64 (neg.f64 l)))
(exp.f64 (neg.f64 l))

Compiler

Compiled 239 to 176 computations (26.4% saved)

soundness2.3s (10.3%)

Rules

1858×	`fma-def`
1552×	`fma-neg`
1552×	`fma-neg`
1552×	`fma-neg`
1552×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	521	18643
1	1509	18178
2	5764	18028
0	521	18643
1	1509	18178
2	5764	18028
0	521	18643
1	1509	18178
2	5764	18028
0	521	18643
1	1509	18178
2	5764	18028
0	521	18643
1	1509	18178
2	5764	18028
0	900	31747
1	2587	29659
2	7809	29437
0	900	31747
1	2587	29659
2	7809	29437
0	1031	36364
1	3072	34028

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 482 to 280 computations (41.9% saved)

end0.0ms (0%)

preprocess147.0ms (0.7%)

Remove: (sort m n)
Compiler: Compiled 626 to 402 computations (35.8% saved)

analyze1.0ms (0%)

sample3.9s (17.2%)

preprocess974.0ms (4.3%)

eval2.0ms (0%)

prune2.0ms (0%)

localize494.0ms (2.2%)

series19.0ms (0.1%)

rewrite401.0ms (1.8%)

simplify222.0ms (1%)

eval307.0ms (1.4%)

prune130.0ms (0.6%)

localize2.5s (11%)

series32.0ms (0.1%)

rewrite185.0ms (0.8%)

simplify944.0ms (4.2%)

eval1.9s (8.6%)

prune995.0ms (4.4%)

localize1.1s (5.1%)

series28.0ms (0.1%)

rewrite220.0ms (1%)

simplify951.0ms (4.2%)

eval748.0ms (3.3%)

prune313.0ms (1.4%)

localize708.0ms (3.2%)

series44.0ms (0.2%)

rewrite138.0ms (0.6%)

simplify357.0ms (1.6%)

eval290.0ms (1.3%)

prune207.0ms (0.9%)

regimes184.0ms (0.8%)

regimes506.0ms (2.3%)

regimes213.0ms (0.9%)

regimes114.0ms (0.5%)

regimes137.0ms (0.6%)

regimes75.0ms (0.3%)

regimes36.0ms (0.2%)

regimes45.0ms (0.2%)

bsearch15.0ms (0.1%)

bsearch77.0ms (0.3%)

bsearch121.0ms (0.5%)

bsearch94.0ms (0.4%)

bsearch89.0ms (0.4%)

bsearch92.0ms (0.4%)

simplify84.0ms (0.4%)

soundness2.3s (10.3%)

end0.0ms (0%)

preprocess147.0ms (0.7%)

Profiling