Metrics for Maksimov and Kolovsky, Equation (3)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze274.0ms (3.5%)

Memory

11.0MiB live, 410.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	6
37.5%	37.4%	62.4%	0.1%	0%	0%	0%	7
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	8
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	9
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	10
46.9%	46.8%	53%	0.1%	0%	0%	0%	11
46.9%	46.8%	53%	0.1%	0%	0%	0%	12

Compiler

Compiled 26 to 19 computations (26.9% saved)

sample1.7s (21.6%)

Memory

-116.0MiB live, 2 113.3MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 880.0ms

ival-cos: 286.0ms (32.5% of total)

ival-mult: 276.0ms (31.4% of total)

ival-div: 110.0ms (12.5% of total)

ival-pow2: 86.0ms (9.8% of total)

ival-sqrt: 58.0ms (6.6% of total)

ival-add: 40.0ms (4.5% of total)

exact: 13.0ms (1.5% of total)

ival-true: 7.0ms (0.8% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain302.0ms (3.8%)

Memory

7.7MiB live, 326.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
37	0	-	-	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`
35	0	-	-	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
0	0	-	-	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`K`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`#s(literal 1 binary64)`
0	139	(2.7514870793062947e-198 -9.989561496024443e+192 6.474934369108104e+185)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(*.f64 #s(literal 2 binary64) J)`
0	0	-	-	`U`
0	0	-	-	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`
0	0	-	-	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`
0	0	-	-	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`
0	0	-	-	`J`
0	0	-	-	`(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`#s(literal -2 binary64)`
0	0	-	-	`(*.f64 #s(literal -2 binary64) J)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	139	0
`sqrt.f64`	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	oflow-rescue	37	0
↳	`(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))`	overflow	35
↳	`(/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))))`	overflow	35
↳	`(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))`	overflow	72
↳	`(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))`	overflow	1
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))`	overflow	72
↳	`(*.f64 #s(literal 2 binary64) J)`	overflow	1
`*.f64`	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`	*no**	35	0

Confusion

	Predicted +	Predicted -
+	72	0
-	100	84

Precision

0.4186046511627907

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	72	0	0
-	100	0	84

Precision?

0.4186046511627907

Recall?

1.0

Freqs

test

number	freq
0	84
1	133
2	39

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

116.0ms

512×

valid

Compiler

Compiled 358 to 72 computations (79.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-div: 43.0ms (45.6% of total)

ival-mult: 27.0ms (28.6% of total)

ival-cos: 12.0ms (12.7% of total)

ival-pow2: 5.0ms (5.3% of total)

ival-add: 3.0ms (3.2% of total)

ival-sqrt: 3.0ms (3.2% of total)

ival-true: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

ival-assert: 0.0ms (0% of total)

preprocess172.0ms (2.2%)

Memory

2.4MiB live, 123.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	222
1	211	216
2	703	216
3	2844	216
0	17	24
0	28	24
1	52	24
2	125	24
3	383	24
4	1683	24
5	5112	24
0	8073	24

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Inputs

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Outputs
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)

Outputs

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal -1/2 binary64))) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (/.f64 U (*.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)))) J)

Symmetry

(abs U)

(abs K)

(negabs J)

Compiler

Compiled 24 to 17 computations (29.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Status

Accuracy

Program

▶

73.4%

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Compiler

Compiled 24 to 17 computations (29.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize64.0ms (0.8%)

Memory

-9.8MiB live, 63.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.21875	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	8.20462060760862	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	8.606019959380992	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))

Samples

44.0ms

256×

valid

Compiler

Compiled 222 to 36 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 19.0ms (56.6% of total)

ival-cos: 6.0ms (17.9% of total)

ival-div: 3.0ms (8.9% of total)

ival-sqrt: 2.0ms (6% of total)

ival-pow2: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series66.0ms (0.8%)

Memory

25.9MiB live, 69.8MiB allocated

Counts

4 → 57

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Outputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* -2 (* J (cos (* 1/2 K))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
36.0ms	U	@	0	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (* -2 J) (cos (/ K 2))))
6.0ms	K	@	0	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (* -2 J) (cos (/ K 2))))
5.0ms	J	@	0	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (* -2 J) (cos (/ K 2))))
3.0ms	K	@	inf	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (* -2 J) (cos (/ K 2))))
3.0ms	J	@	inf	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (* -2 J) (cos (/ K 2))))

simplify213.0ms (2.7%)

Memory

-12.2MiB live, 156.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	348	2456
1	1262	2334
2	6082	2330
0	8975	2198

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 56

Calls

Call 1

Inputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* -2 (* J (cos (* 1/2 K))))
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))

Outputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal 1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 J J) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 J) J) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (-.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64))) (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 J J) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))) J)
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (.f64 J J) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -4 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64))) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
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(*.f64 #s(literal -2 binary64) J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(fma.f64 (.f64 (.f64 K K) J) #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(fma.f64 (.f64 (fma.f64 #s(literal -1/192 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal 1/4 binary64) J)) K) K (*.f64 #s(literal -2 binary64) J))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal -2 binary64) J))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64)))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(.f64 (sqrt.f64 (fma.f64 (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1/4 binary64) #s(literal 1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 4 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 (/.f64 #s(literal 1/8 binary64) (.f64 J J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))) (*.f64 U U) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 U U) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))))) (pow.f64 U #s(literal 4 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 U (/.f64 U (pow.f64 J #s(literal 5 binary64)))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) U)
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal -1 binary64)) U)
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal -1 binary64))) U)
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (/.f64 (pow.f64 J #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 J (.f64 U U)) (/.f64 (/.f64 #s(literal 1/2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (/.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64)))))) #s(literal -1 binary64))) (neg.f64 U))

rewrite196.0ms (2.5%)

Memory

-17.8MiB live, 93.5MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	59
0	28	59
1	88	53
2	543	53
3	6439	53
0	8263	53

Stop Event

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

Counts

4 → 342

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Outputs
(.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) (cosh.f64 (atanh.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U))))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))))))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) #s(literal -1 binary64))))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -3 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))) #s(literal 1/2 binary64))
(/.f64 (+.f64 (exp.f64 (neg.f64 (asinh.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)))) (exp.f64 (neg.f64 (neg.f64 (asinh.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))))) (neg.f64 (sin.f64 (acos.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)))))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -3 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -4 binary64)) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))))))
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(fma.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -4 binary64)))
(-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (sinh.f64 (log.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))
(fabs.f64 (pow.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)) #s(literal 1 binary64))) (sinh.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) #s(literal 1 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) #s(literal -1 binary64)) (.f64 (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) (.f64 #s(literal 1 binary64) (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) (.f64 #s(literal -1 binary64) (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)))))
(+.f64 (neg.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) (sinh.f64 (neg.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64)))))
(+.f64 (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (sinh.f64 (.f64 (log.f64 (.f64 (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U)) #s(literal 2 binary64))))
(.f64 (.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) #s(literal 2 binary64)) J)
(.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) J)
(.f64 (.f64 #s(literal -1 binary64) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(.f64 (neg.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) J)
(.f64 (neg.f64 (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J)
(.f64 (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (.f64 #s(literal -2 binary64) J))
(.f64 (neg.f64 J) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (neg.f64 J) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (neg.f64 J))
(.f64 (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J)
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J #s(literal 1 binary64)))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 J))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J)
(.f64 (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64))
(.f64 (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))
(.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (neg.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 2 binary64))
(.f64 #s(literal -2 binary64) (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 #s(literal -2 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J))
(.f64 J (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 J (.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))))
(.f64 J (neg.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))
(.f64 J (neg.f64 (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (neg.f64 (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))
(.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 (.f64 #s(literal 0 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64))) (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64)))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (*.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 3 binary64)))) (fma.f64 J J #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64))) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(neg.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) J (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) J) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) J)))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -1 binary64) (.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -1 binary64)))
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 J) (.f64 (neg.f64 J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))
(fma.f64 J (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (PI.f64))) (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(fma.f64 J (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J))
(-.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))
(-.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -1 binary64)) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) J)) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)) (.f64 #s(literal -2 binary64) J)))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64))))
(+.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 1 binary64)) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 1 binary64)))
(+.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(+.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))

eval100.0ms (1.3%)

Memory: 1.8MiB live, 84.1MiB allocated
Compiler: Compiled 14 487 to 1 788 computations (87.7% saved)

prune13.0ms (0.2%)

Memory

21.3MiB live, 21.3MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	388	10	398
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	389	10	399

Accuracy

99.9%

Counts

399 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
	8.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
	57.2%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	54.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.0%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
▶	37.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
▶	52.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
	10.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
	34.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
▶	39.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Compiler

Compiled 694 to 514 computations (25.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize180.0ms (2.3%)

Memory

-6.1MiB live, 116.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	0.10546875	(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	8.132439063889386	(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
accuracy	28.589581469149802	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
accuracy	0.12890625	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
accuracy	0.28744125976844204	(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
accuracy	5.320548362342487	(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
accuracy	38.3130783340307	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.16796875	(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	8.20462060760862	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	29.234318384039433	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	0.0	(neg.f64 U)
accuracy	38.95913645465866	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
accuracy	0.171875	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
accuracy	0.21875	(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
accuracy	8.20462060760862	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
accuracy	8.606019959380992	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))

Samples

76.0ms

256×

valid

Compiler

Compiled 797 to 92 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-mult: 22.0ms (41.8% of total)

ival-cos: 12.0ms (22.8% of total)

ival-div: 7.0ms (13.3% of total)

ival-pow2: 5.0ms (9.5% of total)

ival-add: 3.0ms (5.7% of total)

ival-sqrt: 2.0ms (3.8% of total)

exact: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series76.0ms (1%)

Memory

-0.2MiB live, 75.6MiB allocated

Counts

18 → 121

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))

Outputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (cos (* -1/2 K)))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* -2 J)
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(/ 1 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* -1/4 (/ (pow U 2) J)) (* -1/32 (/ (* (pow K 2) (pow U 2)) J)))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 (* (pow K 2) (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J))))))))
(+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* (pow K 2) (+ (* 1/4 (* (pow K 2) (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(cos (* 1/2 K))
(pow (cos (* -1/2 K)) 2)
(/ (pow (cos (* -1/2 K)) 2) U)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	J	@	-inf	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))))
15.0ms	U	@	0	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))))
6.0ms	J	@	0	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))))
6.0ms	U	@	inf	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))))
5.0ms	K	@	0	((sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg U) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (cos (/ K 2))) (cos (/ K 2)) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (pow (cos (* -1/2 K)) 2) (/ (pow (cos (* -1/2 K)) 2) U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* -1/4 (* U U)) J) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K))) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))))

simplify192.0ms (2.4%)

Memory

1.1MiB live, 188.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	4307
1	2365	4138
0	9044	3917

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 119

Calls

Call 1

Inputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (cos (* -1/2 K)))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 (* J (cos (* 1/2 K))))
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(* -1/4 (/ (pow U 2) J))
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
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J
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(* -2 J)
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(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
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U
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Outputs
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(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)))) (.f64 U U) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 U U) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)))) (*.f64 U U) #s(literal 1 binary64))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (/.f64 (.f64 U U) (pow.f64 J #s(literal 3 binary64)))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64)))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))))) (.f64 U U))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
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(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 (neg.f64 U) U)) U)
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) U)
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) #s(literal -1 binary64)) U)
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)) U)
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) #s(literal -1 binary64)) U)
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 U J))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) #s(literal -1 binary64)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal 2 binary64) U) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J J)) U) #s(literal 1 binary64)))

rewrite300.0ms (3.8%)

Memory

0.2MiB live, 319.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	296
0	79	296
1	237	275
2	1661	271
0	9256	271

Stop Event

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

Counts

18 → 773

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(neg.f64 U)
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U))
(pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J)
(/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))

Outputs
(.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (cosh.f64 (asinh.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (cosh.f64 (asinh.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -3 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))))) (neg.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 (neg.f64 (cosh.f64 (asinh.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -3 binary64))))) (neg.f64 (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))))))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))) #s(literal 2 binary64))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))))))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -3 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -6 binary64)) #s(literal 1 binary64)))))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(cosh.f64 (asinh.f64 (neg.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(exp.f64 (.f64 (log1p.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal -2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 #s(literal -2 binary64) J) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 #s(literal -2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))))
(.f64 (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))))
(.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) (cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))))
(.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (/.f64 (neg.f64 U) J))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) (/.f64 (neg.f64 U) J))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (neg.f64 (.f64 J #s(literal 2 binary64)))) (/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) (.f64 (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))) (/.f64 (neg.f64 U) (.f64 J #s(literal 2 binary64))))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal -2 binary64) J)) (/.f64 (neg.f64 U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (/.f64 (neg.f64 U) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
(.f64 (/.f64 (neg.f64 U) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (/.f64 (neg.f64 U) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 U #s(literal -1 binary64))))
(.f64 (/.f64 (/.f64 (/.f64 U (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (/.f64 U J))
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(fma.f64 (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal -1/4 binary64) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (neg.f64 (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (/.f64 (.f64 U U) J) (/.f64 #s(literal -1/4 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 #s(literal -1/4 binary64) U) (/.f64 U (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)) (pow.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)) (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (.f64 J #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (/.f64 (pow.f64 J #s(literal -1 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -1 binary64)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (.f64 U U) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 U J) (/.f64 U (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 U U) J) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal -2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal -2 binary64) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 (.f64 J #s(literal 2 binary64))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal -2 binary64) J) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(fma.f64 J (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal 2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 (.f64 U U) #s(literal -1/4 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 (.f64 U U) #s(literal -1/4 binary64)))) #s(literal -2 binary64)) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (neg.f64 (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (*.f64 #s(literal -2 binary64) J)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 J (.f64 (.f64 U U) #s(literal -1/4 binary64)))) #s(literal -3 binary64)) (fma.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (/.f64 (/.f64 (.f64 (.f64 U U) #s(literal -1/4 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))

eval208.0ms (2.6%)

Memory: 14.9MiB live, 326.5MiB allocated
Compiler: Compiled 43 215 to 4 317 computations (90% saved)

prune94.0ms (1.2%)

Memory

-15.8MiB live, 117.3MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	911	22	933
Fresh	4	1	5
Picked	4	1	5
Done	0	0	0
Total	919	24	943

Accuracy

99.9%

Counts

943 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.3%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
▶	73.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))
	57.2%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	39.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (+.f64 (cosh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	29.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	26.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	26.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	26.5%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	29.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	12.5%	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
	54.1%	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
▶	40.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	37.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))) U) (neg.f64 U)))
	27.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
	52.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	19.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	10.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
▶	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
	28.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	25.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	30.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
	22.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))))

Compiler

Compiled 2 009 to 1 379 computations (31.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize268.0ms (3.4%)

Memory

17.7MiB live, 488.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)
accuracy	0.19921875	(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
accuracy	0.28744125976844204	(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
accuracy	38.3130783340307	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
accuracy	0.16796875	(.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64))))
accuracy	8.20462060760862	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	29.234318384039433	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	30.158894207377383	(sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))
accuracy	8.638082714750857	(.f64 (.f64 K K) J)
accuracy	9.97263973664165	(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J))
accuracy	25.62685859796236	#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U))
accuracy	38.3130783340307	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
accuracy	0.0	(*.f64 #s(literal -2 binary64) J)
accuracy	8.20462060760862	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
accuracy	29.234318384039433	#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
accuracy	30.314303210590012	#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
accuracy	0.1796875	(.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
accuracy	0.21875	(pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64))
accuracy	8.20462060760862	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))
accuracy	8.606019959380992	(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64))))

Samples

149.0ms	137×	1	valid
60.0ms	119×	0	valid

Compiler

Compiled 1 011 to 130 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 168.0ms

ival-mult: 56.0ms (33.3% of total)

ival-cos: 30.0ms (17.8% of total)

ival-sin: 18.0ms (10.7% of total)

ival-div: 17.0ms (10.1% of total)

ival-pow2: 14.0ms (8.3% of total)

ival-add: 13.0ms (7.7% of total)

adjust: 10.0ms (5.9% of total)

ival-sqrt: 5.0ms (3% of total)

ival-sub: 2.0ms (1.2% of total)

ival-pi: 1.0ms (0.6% of total)

exact: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series71.0ms (0.9%)

Memory

-14.2MiB live, 115.2MiB allocated

Counts

19 → 151

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))
(pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64))
(.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J))
(.f64 (.f64 K K) J)
(sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)

Outputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -2 (* J (cos (* 1/2 K))))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(* -2 J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(* (pow J 2) (- (* 1/2 (pow K 2)) 2))
(* J (pow K 2))
(* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) U)) (* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI))))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 3))))))
(+ (* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI))))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 5))) (* 2 (/ (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI))))) (pow U 3))))))))
(* -2 (* J (sin (* 1/2 (+ K (PI))))))
(/ (* J (pow (cos (* 1/2 K)) 2)) U)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U))
(* (pow J 2) (+ (* -2 (/ (pow (cos (* -1/2 K)) 2) U)) (* -1 (/ U (pow J 2)))))
(* J (+ (* -2 (sin (* 1/2 (+ K (PI))))) (* -1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (sin (* 1/2 (+ K (PI))))) (+ (* -1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (sin (* 1/2 (+ K (PI))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (sin (* 1/2 (+ K (PI))))) (+ (* -1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (sin (* 1/2 (+ K (PI))))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (sin (* 1/2 (+ K (PI))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (sin (* 1/2 (+ K (PI))))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (sin (* 1/2 (+ K (PI))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (sin (* 1/2 (+ K (PI)))))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (sin (* 1/2 (+ K (PI))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (sin (* 1/2 (+ K (PI))))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (sin (* 1/2 (+ K (PI))))))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
(* -1/2 (/ U J))
(+ (* -1/2 (/ U J)) (* -1/16 (/ (* (pow K 2) U) J)))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* 1/2 (* (pow K 2) (+ (* -1/64 (/ U J)) (* 1/384 (/ U J))))))))
(+ (* -1/2 (/ U J)) (* (pow K 2) (+ (* -1/16 (/ U J)) (* (pow K 2) (+ (* 1/2 (* (pow K 2) (+ (* -1/46080 (/ U J)) (+ (* 1/3072 (/ U J)) (* 1/8 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))) (* 1/2 (+ (* -1/64 (/ U J)) (* 1/384 (/ U J)))))))))
(+ (* -2 J) (* 1/4 (* J (pow K 2))))
(+ (* -2 J) (* (pow K 2) (+ (* -1/192 (* J (pow K 2))) (* 1/4 J))))
(+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))
(- (* -2 (/ (pow J 2) U)) U)
(- (+ (* -2 (/ (pow J 2) U)) (* 1/2 (/ (* (pow J 2) (pow K 2)) U))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (* (pow J 2) (pow K 2)) U)) (* 1/2 (/ (pow J 2) U))))) U)
(- (+ (* -2 (/ (pow J 2) U)) (* (pow K 2) (+ (* 1/2 (/ (pow J 2) U)) (* (pow K 2) (+ (* -1/24 (/ (pow J 2) U)) (* 1/720 (/ (* (pow J 2) (pow K 2)) U))))))) U)
(* -2 (pow J 2))
(+ (* -2 (pow J 2)) (* 1/2 (* (pow J 2) (pow K 2))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* 1/2 (* K (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* K (+ (* -1/8 (* K (sin (* 1/2 (PI))))) (* 1/2 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* K (+ (* 1/2 (cos (* 1/2 (PI)))) (* K (+ (* -1/8 (sin (* 1/2 (PI)))) (* -1/48 (* K (cos (* 1/2 (PI))))))))))
(* -2 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -1 (* (* J (* K (cos (* 1/2 (PI))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))
(+ (* -2 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* K (+ (* -2 (* K (+ (* -1/8 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* (pow U 2) (sin (* 1/2 (PI)))) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* -1 (* (* J (cos (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))
(+ (* -2 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* K (+ (* -1 (* (* J (cos (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* K (+ (* -2 (* K (+ (* -1/48 (* (* J (cos (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/64 (* (/ (* (pow U 2) (cos (* 1/2 (PI)))) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))) (* -2 (+ (* -1/8 (* (* J (sin (* 1/2 (PI)))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (* (pow U 2) (sin (* 1/2 (PI)))) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))))
(* -2 (* J (sin (* 1/2 (PI)))))
(+ (* -2 (* J (sin (* 1/2 (PI))))) (* -1 (* J (* K (cos (* 1/2 (PI)))))))
(+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* -1 (* J (cos (* 1/2 (PI))))) (* 1/4 (* J (* K (sin (* 1/2 (PI)))))))))
(+ (* -2 (* J (sin (* 1/2 (PI))))) (* K (+ (* -1 (* J (cos (* 1/2 (PI))))) (* K (+ (* 1/24 (* J (* K (cos (* 1/2 (PI)))))) (* 1/4 (* J (sin (* 1/2 (PI))))))))))
(+ 1 (* -1/4 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(/ J U)
(+ (* -1/4 (/ (* J (pow K 2)) U)) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/48 (/ (* J (pow K 2)) U)))) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/1440 (/ (* J (pow K 2)) U)) (* 1/48 (/ J U)))))) (/ J U))
(/ 1 U)
(+ (* -1/4 (/ (pow K 2) U)) (/ 1 U))
(+ (* (pow K 2) (- (* 1/48 (/ (pow K 2) U)) (* 1/4 (/ 1 U)))) (/ 1 U))
(+ (* (pow K 2) (- (* (pow K 2) (+ (* -1/1440 (/ (pow K 2) U)) (* 1/48 (/ 1 U)))) (* 1/4 (/ 1 U)))) (/ 1 U))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* 1/2 (* (pow J 2) (pow K 2)))
(* (pow K 2) (+ (* -2 (/ (pow J 2) (pow K 2))) (* 1/2 (pow J 2))))
(sin (* 1/2 (+ K (PI))))
(* -2 (* (* J (sin (* 1/2 (+ K (PI))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(pow (cos (* 1/2 K)) 2)
(/ (pow (cos (* 1/2 K)) 2) U)
(sin (* 1/2 (- (PI) (* -1 K))))
(* -2 (* (* J (sin (* 1/2 (- (PI) (* -1 K))))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* J (sin (* 1/2 (- (PI) (* -1 K))))))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(/ (+ (* -2 (* (pow J 2) (pow (cos (* -1/2 K)) 2))) (* -1 (pow U 2))) U)
(+ (* -2 (* J (sin (* 1/2 (+ K (PI)))))) (* -1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (sin (* 1/2 (+ K (PI)))))) (* (pow U 2) (+ (* -1/4 (/ (sin (* 1/2 (+ K (PI)))) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (sin (* 1/2 (+ K (PI)))))) (* (pow U 2) (+ (* -1/4 (/ (sin (* 1/2 (+ K (PI)))) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (sin (* 1/2 (+ K (PI)))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4)))))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4))))))))

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	K	@	inf	((sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2)))) (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2) (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (* (* K K) J) (sin (/ (+ (PI) K) 2)) (* (* (* -2 J) (sin (/ (+ (PI) K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sin (/ (+ (PI) K) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U))
11.0ms	J	@	inf	((sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2)))) (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2) (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (* (* K K) J) (sin (/ (+ (PI) K) 2)) (* (* (* -2 J) (sin (/ (+ (PI) K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sin (/ (+ (PI) K) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U))
8.0ms	U	@	inf	((sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2)))) (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2) (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (* (* K K) J) (sin (/ (+ (PI) K) 2)) (* (* (* -2 J) (sin (/ (+ (PI) K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sin (/ (+ (PI) K) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U))
8.0ms	J	@	0	((sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2)))) (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2) (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (* (* K K) J) (sin (/ (+ (PI) K) 2)) (* (* (* -2 J) (sin (/ (+ (PI) K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sin (/ (+ (PI) K) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U))
7.0ms	J	@	-inf	((sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2))) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2)))) (pow (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) 2) (* (neg U) (/ 1/2 (* (cos (* 1/2 K)) J))) (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* -2 J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (* (* K K) J) (sin (/ (+ (PI) K) 2)) (* (* (* -2 J) (sin (/ (+ (PI) K) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* -2 J) (sin (/ (+ (PI) K) 2))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (pow (cos (* 1/2 K)) 2) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/ (pow (cos (* 1/2 K)) 2) U))

simplify236.0ms (3%)

Memory

7.4MiB live, 283.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	777	5689
1	2951	5496
0	8542	5245

Stop Event

1×	iter limit
1×	node limit

Counts

151 → 150

Calls

Call 1

Inputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
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(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4)))))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4))))))))

Outputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (/.f64 U J) #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (.f64 J J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 J) J) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal 2 binary64) (pow.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) #s(literal 3 binary64))) (.f64 J J) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 U #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64)))))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) #s(literal 3 binary64))) #s(literal 2 binary64) (.f64 (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64))) #s(literal -4 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(/.f64 (.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(/.f64 (.f64 (/.f64 U J) #s(literal -1/2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* -2 (* J (cos (* 1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 U)
(neg.f64 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64)))))) (.f64 J J) (neg.f64 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 3 binary64))) #s(literal 2 binary64))) (.f64 J J) (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -2 binary64))) (*.f64 J J) (neg.f64 U))
(* -2 J)
(*.f64 #s(literal -2 binary64) J)
(- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) U)) U)
(fma.f64 (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal -2 binary64) (neg.f64 U))
(* (pow J 2) (- (* 1/2 (pow K 2)) 2))
(.f64 (fma.f64 (.f64 K K) #s(literal 1/2 binary64) #s(literal -2 binary64)) (*.f64 J J))
(* J (pow K 2))
(.f64 (.f64 K K) J)
(* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K))))
(.f64 (neg.f64 U) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) U)) (* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) U) #s(literal -2 binary64) (.f64 (neg.f64 U) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(+ (* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI))))) U)) (* 2 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 3))))))
(fma.f64 (.f64 #s(literal -2 binary64) (-.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) U)) (.f64 (.f64 J J) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 U #s(literal 3 binary64))))))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(+ (* -1 (/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI))))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 5))) (* 2 (/ (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI))))) (pow U 3))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 J J) (/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 5 binary64)))) #s(literal -4 binary64) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 U #s(literal 3 binary64)))) #s(literal 2 binary64))) (.f64 J J) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) U)) #s(literal -2 binary64))) (.f64 J J) (.f64 (neg.f64 U) (/.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* -2 (* J (sin (* 1/2 (+ K (PI))))))
(.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (*.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))))
(/ (* J (pow (cos (* 1/2 K)) 2)) U)
(.f64 J (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U))
1
#s(literal 1 binary64)
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 4 binary64)) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (.f64 (/.f64 (/.f64 (pow.f64 U #s(literal 6 binary64)) (pow.f64 J #s(literal 6 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) #s(literal 1/1024 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (.f64 (/.f64 U J) (/.f64 U J)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* -2 (* J (cos (* -1/2 K))))
(.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64))) J)
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64)))) J)
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -1/4 binary64) (.f64 J J)) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/512 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 U #s(literal 6 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 U #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64))))))) J)
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
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(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
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(* J (+ (* -2 (sin (* 1/2 (+ K (PI))))) (+ (* -1/4 (/ (* (pow U 2) (sin (* 1/2 (+ K (PI))))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (sin (* 1/2 (+ K (PI))))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (sin (* 1/2 (+ K (PI))))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
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(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)) U)
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(.f64 (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64)) U)
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) U) (/.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) U)
(* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4)))))))
(.f64 (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) U)
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (neg.f64 U) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 (pow.f64 J #s(literal 5 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal 2 binary64) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (fma.f64 (/.f64 (.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))
U
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 (/.f64 (.f64 J J) U) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) #s(literal -1 binary64)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(.f64 (neg.f64 U) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) (-.f64 (.f64 (/.f64 (.f64 J J) U) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))))
(* -1 (* U (+ 1 (* 2 (/ (* (pow J 2) (pow (cos (* -1/2 K)) 2)) (pow U 2))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal 2 binary64) U) (.f64 (.f64 J J) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)) #s(literal 1 binary64)))
(/ (* U (sin (* 1/2 (+ K (PI))))) (cos (* 1/2 K)))
(/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) U) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) U) (/.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4)))))))
(.f64 (neg.f64 U) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (pow (cos (* 1/2 K)) 5) (sin (* 1/2 (+ K (PI)))))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* 1/2 K)) (sin (* 1/2 (+ K (PI)))))) (pow U 2))) (+ (* -1 (/ (sin (* 1/2 (+ K (PI)))) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (sin (* 1/2 (+ K (PI)))))) (pow U 4))))))))
(.f64 (neg.f64 U) (fma.f64 (.f64 (pow.f64 J #s(literal 6 binary64)) (/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 5 binary64))) (pow.f64 U #s(literal 6 binary64)))) #s(literal -4 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) U) (fma.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64))) (pow.f64 U #s(literal 4 binary64)))) #s(literal 2 binary64) (/.f64 (neg.f64 (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))))

rewrite231.0ms (2.9%)

Memory

16.0MiB live, 207.1MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	66	352
0	101	350
1	391	314
2	3046	307
0	8213	307

Stop Event

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

Counts

19 → 487

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))
(pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64))
(.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J)))
#s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J))
#s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(*.f64 #s(literal -2 binary64) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U))
(fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J))
(.f64 (.f64 K K) J)
(sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J)
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U)

Outputs
(.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal 1/4 binary64)))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (sin.f64 (acos.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (cosh.f64 (asinh.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(.f64 (cosh.f64 (asinh.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -3 binary64)))) (pow.f64 (pow.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -4 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U)) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
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(/.f64 (fabs.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -1/2 binary64) K))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (sin.f64 (-.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) K))) (sin.f64 (fma.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (sin.f64 (-.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)) (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (.f64 K #s(literal 1/2 binary64)))) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) K) (*.f64 K #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (-.f64 (.f64 K #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 (-.f64 (.f64 K #s(literal 1/2 binary64)) (.f64 K #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (fma.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -1/2 binary64) K))) (sin.f64 (+.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)) (.f64 #s(literal -1/2 binary64) K))) (sin.f64 (fma.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 (fma.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64) (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K)))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)) (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) K) (.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 #s(literal -1/2 binary64) K (.f64 K #s(literal 1/2 binary64)))) (cos.f64 (-.f64 (.f64 #s(literal -1/2 binary64) K) (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (-.f64 (.f64 K #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 (-.f64 (.f64 K #s(literal 1/2 binary64)) (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) K))))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) K))))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(fabs.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(exp.f64 (.f64 (.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) K)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J) (pow.f64 U #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 J U))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (pow.f64 U #s(literal -1 binary64)) J))
(.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) J)
(.f64 J (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))
(pow.f64 (/.f64 U (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J)) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) J) (neg.f64 U))
(/.f64 (.f64 J (neg.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))) (neg.f64 U))
(/.f64 (.f64 J #s(literal 1 binary64)) (.f64 U (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J)) (neg.f64 U))
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J) U)
(/.f64 J (.f64 U (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 U (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) J)))
(.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 U #s(literal -1 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))
(.f64 (neg.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (pow.f64 (neg.f64 U) #s(literal -1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 U #s(literal -1 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 U #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U))
(pow.f64 (/.f64 (.f64 U (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (.f64 U (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) #s(literal -1 binary64)) U)
(/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) #s(literal 1 binary64)) U)
(/.f64 (neg.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 U (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (neg.f64 U))
(/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U)
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 U (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 U (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U))
(neg.f64 (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (neg.f64 U)))
(exp.f64 (.f64 (log.f64 (.f64 U (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))) #s(literal -1 binary64)))

eval155.0ms (2%)

Memory: -0.4MiB live, 240.2MiB allocated
Compiler: Compiled 29 208 to 3 463 computations (88.1% saved)

prune37.0ms (0.5%)

Memory

-3.7MiB live, 81.0MiB allocated

Pruning

26 alts after pruning (23 fresh and 3 done)

	Pruned	Kept	Total
New	638	6	644
Fresh	1	17	18
Picked	3	2	5
Done	0	1	1
Total	642	26	668

Accuracy

99.9%

Counts

668 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	73.3%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
✓	73.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))
	57.2%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	39.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (+.f64 (cosh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	29.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	26.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	26.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	26.5%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	29.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
▶	12.5%	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
	54.1%	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
	40.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	27.7%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
	52.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	29.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	39.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
▶	19.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
	10.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
✓	39.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	29.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 J K) K) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
	27.2%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 #s(approx (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (.f64 (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 K K))) U) U)))
	28.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
▶	25.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	30.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
	22.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))))

Compiler

Compiled 2 208 to 1 491 computations (32.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize174.0ms (2.2%)

Memory

-14.8MiB live, 298.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	0.125	(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
accuracy	0.12890625	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
accuracy	55.965542089801374	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
accuracy	2.877968127496035	(.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K)
accuracy	8.13354467678955	(/.f64 (*.f64 U U) J)
accuracy	28.589581469149802	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
accuracy	28.624939259688443	#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
accuracy	3.0556460265097924	(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)
accuracy	8.638082714750857	(.f64 (.f64 K K) J)
accuracy	34.06208424978592	#s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U))
accuracy	38.3130783340307	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
accuracy	0.0	(+.f64 #s(literal 0 binary64) U)
accuracy	0.0	(*.f64 U U)
accuracy	32.752592632622374	(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
accuracy	38.95913645465866	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
accuracy	0.171875	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
accuracy	0.21779252930532603	(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))
accuracy	8.20462060760862	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
accuracy	8.606019959380992	(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)))

Samples

126.0ms

256×

valid

Compiler

Compiled 1 003 to 153 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 39.0ms (38.9% of total)

ival-cos: 21.0ms (21% of total)

ival-div: 15.0ms (15% of total)

ival-add: 10.0ms (10% of total)

ival-pow2: 6.0ms (6% of total)

ival-sqrt: 3.0ms (3% of total)

ival-pow: 3.0ms (3% of total)

ival-sub: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series62.0ms (0.8%)

Memory

32.3MiB live, 109.1MiB allocated

Counts

20 → 119

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(*.f64 U U)
(+.f64 #s(literal 0 binary64) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U))
(.f64 (.f64 K K) J)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)
#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
(/.f64 (*.f64 U U) J)
(.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K)
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))

Outputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (cos (* -1/2 K)))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(/ (* J (pow (cos (* 1/2 K)) 2)) U)
(* J (pow K 2))
(/ (* J (+ 1 (* -1/4 (pow K 2)))) U)
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) J)
(/ (pow U 2) J)
(* -1/32 (/ (* K (pow U 2)) J))
(/ (+ (* -1/32 (* K (pow U 2))) (* 1/4 (* (pow J 2) K))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* 1/4 (* J K))
(* J (+ (* -1/32 (/ (* K (pow U 2)) (pow J 2))) (* 1/4 K)))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (/ (* J (- (* 1/4 (pow K 2)) 1)) U))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/4 K) (* 1/32 (/ (* K (pow U 2)) (pow J 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(/ J U)
(+ (* -1/4 (/ (* J (pow K 2)) U)) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/48 (/ (* J (pow K 2)) U)))) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/1440 (/ (* J (pow K 2)) U)) (* 1/48 (/ J U)))))) (/ J U))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(* K (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))
U
(+ U (* -1/8 (* (pow K 2) U)))
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -1/4 (/ (* J (pow K 2)) U))
(* (pow K 2) (+ (* -1/4 (/ J U)) (/ J (* (pow K 2) U))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(* U (cos (* -1/2 K)))
(cos (* -1/2 K))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(pow U 2)
(/ (+ J (* -1/4 (* J (pow K 2)))) U)
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(* (pow U 2) (+ (* -1/32 (/ K J)) (* 1/4 (/ (* J K) (pow U 2)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	U	@	0	((sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (- 0 (* U U)) (+ 0 U)) (* U U) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* (* K K) J) (/ (+ (* -1/4 (* (* K K) J)) J) U) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* U U) J) (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) U) (/ (* (cos (* -1/2 K)) U) (cos (* -1/2 K))) (cos (* -1/2 K)))
7.0ms	U	@	inf	((sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (- 0 (* U U)) (+ 0 U)) (* U U) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* (* K K) J) (/ (+ (* -1/4 (* (* K K) J)) J) U) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* U U) J) (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) U) (/ (* (cos (* -1/2 K)) U) (cos (* -1/2 K))) (cos (* -1/2 K)))
6.0ms	K	@	inf	((sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (- 0 (* U U)) (+ 0 U)) (* U U) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* (* K K) J) (/ (+ (* -1/4 (* (* K K) J)) J) U) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* U U) J) (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) U) (/ (* (cos (* -1/2 K)) U) (cos (* -1/2 K))) (cos (* -1/2 K)))
5.0ms	U	@	-inf	((sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (- 0 (* U U)) (+ 0 U)) (* U U) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* (* K K) J) (/ (+ (* -1/4 (* (* K K) J)) J) U) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* U U) J) (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) U) (/ (* (cos (* -1/2 K)) U) (cos (* -1/2 K))) (cos (* -1/2 K)))
5.0ms	J	@	-inf	((sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) (* (cos (* -1/2 K)) J) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (- 0 (* U U)) (+ 0 U)) (* U U) (+ 0 U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (/ (pow (cos (* 1/2 K)) 2) U) J) (* (* K K) J) (/ (+ (* -1/4 (* (* K K) J)) J) U) (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/ (* U U) J) (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (cos (* -1/2 K)) U) (/ (* (cos (* -1/2 K)) U) (cos (* -1/2 K))) (cos (* -1/2 K)))

simplify228.0ms (2.9%)

Memory

-22.4MiB live, 224.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	606	4113
1	2261	3929
0	9409	3719

Stop Event

1×	iter limit
1×	node limit

Counts

119 → 117

Calls

Call 1

Inputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 5))) (* 2 (/ (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3)) (pow U 3))))))))
(* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))
(* J (cos (* -1/2 K)))
(* -1 U)
(+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* -1 U))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 4)) (pow U 3))))))
(+ (* -1 U) (* (pow J 2) (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (* (pow J 2) (+ (* -4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 6)) (pow U 5))) (* 2 (/ (pow (cos (* 1/2 K)) 4) (pow U 3))))))))
(/ (* J (pow (cos (* 1/2 K)) 2)) U)
(* J (pow K 2))
(/ (* J (+ 1 (* -1/4 (pow K 2)))) U)
(* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K)))))
(/ (+ (* -2 (* (pow J 2) (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (cos (* -1/2 K))))) J)
(/ (pow U 2) J)
(* -1/32 (/ (* K (pow U 2)) J))
(/ (+ (* -1/32 (* K (pow U 2))) (* 1/4 (* (pow J 2) K))) J)
1
(+ 1 (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(+ 1 (+ (* -1/128 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/1024 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/8 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(* -2 (* J (cos (* -1/2 K))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))))
(* J (+ (* -2 (cos (* -1/2 K))) (+ (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (+ (* -1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4))))))))
(* -2 (* J (cos (* 1/2 K))))
(* J (+ (* -2 (cos (* 1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))))))
(* J (+ (* -2 (cos (* 1/2 K))) (+ (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (+ (* -1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3))))))))
(* J (+ (* -2 (cos (* -1/2 K))) (* -1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K)))))))
(* 1/4 (* J K))
(* J (+ (* -1/32 (/ (* K (pow U 2)) (pow J 2))) (* 1/4 K)))
(* -1 (* J (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (* (pow U 4) (cos (* -1/2 K))) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (+ (* 1/512 (/ (* (pow U 6) (cos (* -1/2 K))) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (+ (* 1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 2) (pow (cos (* 1/2 K)) 2)))) (* 2 (cos (* -1/2 K))))))))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K)))))))
(* -1 (* J (+ (* -1/64 (/ (pow U 4) (* (pow J 4) (pow (cos (* 1/2 K)) 3)))) (+ (* 1/512 (/ (pow U 6) (* (pow J 6) (pow (cos (* 1/2 K)) 5)))) (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* 1/2 K))))) (* 2 (cos (* 1/2 K))))))))
(* -1 (/ (* J (- (* 1/4 (pow K 2)) 1)) U))
(* -1 (* J (+ (* 1/4 (/ (pow U 2) (* (pow J 2) (cos (* -1/2 K))))) (* 2 (cos (* -1/2 K))))))
(* -1 (* J (+ (* -1/4 K) (* 1/32 (/ (* K (pow U 2)) (pow J 2))))))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* 1/32 (* (/ (* (pow K 2) (pow U 2)) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))
(+ (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))) (* (pow K 2) (+ (* 1/32 (* (/ (pow U 2) (pow J 2)) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* (pow K 2) (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* 1/2 (* (* (pow K 2) (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* -2 (* (pow K 2) (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))) (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))))))
(+ (* -2 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* (pow K 2) (+ (* -2 (+ (* -1/8 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/32 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/16 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* -1/46080 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (+ (* 1/12288 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))))) (* 1/32 (/ (* (pow U 2) (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (* (pow J 2) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))) (* -2 (+ (* -1/256 (* (/ (pow U 2) J) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2)))))))) (+ (* 1/384 (* J (sqrt (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))) (* 1/2 (* (* J (- (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))) (* 1/1024 (/ (pow U 4) (* (pow J 4) (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))) (sqrt (/ 1 (+ 1 (* 1/4 (/ (pow U 2) (pow J 2))))))))))))))))
(* 1/4 (/ (pow U 2) (pow J 2)))
(+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2)))))) (* 1/16 (/ (pow U 2) (pow J 2))))))
(+ (* 1/4 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* 1/16 (/ (pow U 2) (pow J 2))) (* (pow K 2) (+ (* -1/4 (* (pow K 2) (+ (* -1/1440 (/ (pow U 2) (pow J 2))) (+ (* 1/192 (/ (pow U 2) (pow J 2))) (* 1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))) (* -1/4 (+ (* -1/16 (/ (pow U 2) (pow J 2))) (* 1/48 (/ (pow U 2) (pow J 2))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(/ J U)
(+ (* -1/4 (/ (* J (pow K 2)) U)) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* 1/48 (/ (* J (pow K 2)) U)))) (/ J U))
(+ (* (pow K 2) (+ (* -1/4 (/ J U)) (* (pow K 2) (+ (* -1/1440 (/ (* J (pow K 2)) U)) (* 1/48 (/ J U)))))) (/ J U))
(+ (* -2 J) (* -1/4 (/ (pow U 2) J)))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))
(+ (* -2 J) (+ (* -1/4 (/ (pow U 2) J)) (* (pow K 2) (+ (* -1/32 (/ (pow U 2) J)) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (+ (* 1/4 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))) (* (pow K 2) (+ (* 1/23040 J) (* 1/4 (+ (* -1/46080 (/ (pow U 2) J)) (+ (* 1/3072 (/ (pow U 2) J)) (* 1/8 (+ (* -1/64 (/ (pow U 2) J)) (* 1/384 (/ (pow U 2) J)))))))))))))))))
(* K (+ (* -1/32 (/ (pow U 2) J)) (* 1/4 J)))
U
(+ U (* -1/8 (* (pow K 2) U)))
(+ U (* (pow K 2) (+ (* -1/8 U) (* 1/384 (* (pow K 2) U)))))
(+ U (* (pow K 2) (+ (* -1/8 U) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) U)) (* 1/384 U))))))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))
(* -2 (* (* J (cos (* -1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -2 (* (* J (cos (* 1/2 K))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow J 2) (pow (cos (* 1/2 K)) 2))))))))
(* -1/4 (/ (* J (pow K 2)) U))
(* (pow K 2) (+ (* -1/4 (/ J U)) (/ J (* (pow K 2) U))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* -1/2 K))))))
(* U (cos (* -1/2 K)))
(cos (* -1/2 K))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(pow U 2)
(/ (+ J (* -1/4 (* J (pow K 2)))) U)
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(* (pow U 2) (+ (* -1/32 (/ K J)) (* 1/4 (/ (* J K) (pow U 2)))))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))

Outputs
(* 1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1/2 binary64))
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (/ (* (pow J 2) (cos (* 1/2 K))) U)) J)
(/.f64 (fma.f64 (.f64 J J) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* -1 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 3)) (pow U 3))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 J) J) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64)) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)
(/ (+ (* 1/2 (/ U (cos (* 1/2 K)))) (* (pow J 2) (+ (* (pow J 2) (+ (* -1 (/ (pow (cos (* 1/2 K)) 3) (pow U 3))) (* 2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 5)) (pow U 5))))) (/ (cos (* 1/2 K)) U)))) J)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 J J)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 5 binary64))) (pow.f64 (neg.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) #s(literal 3 binary64))) (.f64 J J) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) (.f64 J J) (/.f64 (.f64 #s(literal 1/2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J)
(* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K))))
(/.f64 (.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) U)) (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))))
(fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (/.f64 (.f64 (neg.f64 U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(+ (* -1 (/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))) (* (pow J 2) (+ (* -2 (/ (* (cos (* -1/2 K)) (cos (* 1/2 K))) U)) (* 2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 3))))))
(fma.f64 (neg.f64 U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (.f64 (.f64 (.f64 J J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) #s(literal 3 binary64))))) (*.f64 J J)))
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(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(* U (cos (* -1/2 K)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(+ 1 (* (pow U 2) (+ (* -1/128 (/ (pow U 2) (* (pow J 4) (pow (cos (* 1/2 K)) 4)))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 4 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) #s(literal -1/128 binary64) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))) (.f64 U U) #s(literal 1 binary64))
(+ 1 (* (pow U 2) (+ (* (pow U 2) (- (* 1/1024 (/ (pow U 2) (* (pow J 6) (pow (cos (* 1/2 K)) 6)))) (* 1/128 (/ 1 (* (pow J 4) (pow (cos (* 1/2 K)) 4)))))) (* 1/8 (/ 1 (* (pow J 2) (pow (cos (* 1/2 K)) 2)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/1024 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 U U) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (/.f64 #s(literal -1/128 binary64) (.f64 (pow.f64 J #s(literal 4 binary64)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))))) (.f64 U U) (/.f64 #s(literal 1/8 binary64) (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))) (*.f64 U U) #s(literal 1 binary64))
(+ (* -2 (* J (cos (* -1/2 K)))) (* -1/4 (/ (* (pow U 2) (cos (* -1/2 K))) (* J (pow (cos (* 1/2 K)) 2)))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* 1/64 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))
(fma.f64 (fma.f64 (.f64 (.f64 U U) #s(literal 1/64 binary64)) (/.f64 (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 J #s(literal 3 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (cos (* -1/2 K)))) (* (pow U 2) (+ (* -1/4 (/ (cos (* -1/2 K)) (* J (pow (cos (* 1/2 K)) 2)))) (* (pow U 2) (+ (* -1/512 (/ (* (pow U 2) (cos (* -1/2 K))) (* (pow J 5) (pow (cos (* 1/2 K)) 6)))) (* 1/64 (/ (cos (* -1/2 K)) (* (pow J 3) (pow (cos (* 1/2 K)) 4)))))))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64)))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64))) (.f64 (/.f64 #s(literal 1/64 binary64) (pow.f64 J #s(literal 3 binary64))) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64))))) (.f64 U U))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* -1/4 (/ (pow U 2) (* J (cos (* 1/2 K))))))
(fma.f64 (/.f64 #s(literal -1/4 binary64) J) (/.f64 (.f64 U U) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* 1/64 (/ (pow U 2) (* (pow J 3) (pow (cos (* 1/2 K)) 3)))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (/.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64))) #s(literal 1/64 binary64) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(+ (* -2 (* J (cos (* 1/2 K)))) (* (pow U 2) (- (* (pow U 2) (+ (* -1/512 (/ (pow U 2) (* (pow J 5) (pow (cos (* 1/2 K)) 5)))) (* 1/64 (/ 1 (* (pow J 3) (pow (cos (* 1/2 K)) 3)))))) (* 1/4 (/ 1 (* J (cos (* 1/2 K))))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 (.f64 U U) (pow.f64 J #s(literal 5 binary64))) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64))) #s(literal -1/512 binary64) (/.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)))) (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(pow U 2)
(*.f64 U U)
(/ (+ J (* -1/4 (* J (pow K 2)))) U)
(/.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64)) J) U)
(+ (* -1/32 (/ (* K (pow U 2)) J)) (* 1/4 (* J K)))
(.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K)
(* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))
(.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) U)
(* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) U)
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
(* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) U)
(* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) U)
(* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) #s(literal -1 binary64)) U)
(* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1))
(.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)) U)
(* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) U)
(* (pow U 2) (- (* -2 (/ (* J (cos (* -1/2 K))) (pow U 2))) (* 1/4 (/ 1 (* J (cos (* -1/2 K)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))
(* (pow U 2) (+ (* -1/32 (/ K J)) (* 1/4 (/ (* J K) (pow U 2)))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) J) U) (/.f64 K U) (.f64 (/.f64 K J) #s(literal -1/32 binary64))) (.f64 U U))
(* -1/2 (/ U (* J (cos (* 1/2 K)))))
(.f64 (/.f64 (/.f64 U J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -1/2 binary64))
(* -1 (* U (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))
(.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2))))))
(.f64 (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64)))) (neg.f64 U))
(* -1 (* U (+ (* -1 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 4))) (+ (* 2 (/ (* (pow J 5) (pow (cos (* 1/2 K)) 5)) (pow U 6))) (+ (* 1/2 (/ 1 (* J (cos (* 1/2 K))))) (/ (* J (cos (* 1/2 K))) (pow U 2)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 5 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (pow.f64 U #s(literal 6 binary64))) (-.f64 (fma.f64 (/.f64 J U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal 3 binary64)) (pow.f64 U #s(literal 4 binary64))))) (neg.f64 U))
(/ (* U (cos (* -1/2 K))) (cos (* 1/2 K)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))))))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (neg.f64 U))
(* -1 (* U (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4)))))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (neg.f64 U))
(* -1 (* U (+ (* -4 (/ (* (pow J 6) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 5))) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (* (cos (* -1/2 K)) (cos (* 1/2 K)))) (pow U 2))) (+ (* -1 (/ (cos (* -1/2 K)) (cos (* 1/2 K)))) (* 2 (/ (* (pow J 4) (* (cos (* -1/2 K)) (pow (cos (* 1/2 K)) 3))) (pow U 4))))))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 5 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 6 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) (pow.f64 J #s(literal 4 binary64))) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 3 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 U #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) (/.f64 (neg.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))) (neg.f64 U))
(* -1 (* U (- (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) 1)))
(.f64 (fma.f64 (/.f64 #s(literal -2 binary64) U) (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) U) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4)))) 1)))
(.f64 (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64)) (neg.f64 U))
(* -1 (* U (- (+ (* -4 (/ (* (pow J 6) (pow (cos (* 1/2 K)) 6)) (pow U 6))) (+ (* -2 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) (pow U 2))) (* 2 (/ (* (pow J 4) (pow (cos (* 1/2 K)) 4)) (pow U 4))))) 1)))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) (pow.f64 J #s(literal 6 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 6 binary64)) (pow.f64 U #s(literal 6 binary64))) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 (.f64 (.f64 J J) (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64))) (.f64 U U)) (.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))))) #s(literal -1 binary64))) (neg.f64 U))

rewrite201.0ms (2.5%)

Memory

23.5MiB live, 181.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	385
0	116	357
1	457	331
2	3715	328
0	8981	326

Stop Event

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

Counts

20 → 553

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U))
(*.f64 U U)
(+.f64 #s(literal 0 binary64) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U))
(.f64 (.f64 K K) J)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)
#s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
(/.f64 (*.f64 U U) J)
(.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (*.f64 #s(literal 1/4 binary64) J)) K)
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))

Outputs
(.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sinh.f64 (acosh.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (exp.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))) #s(literal 2 binary64))
(/.f64 (sin.f64 (acos.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 4 binary64))) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (cosh.f64 (asinh.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -4 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (sinh.f64 (acosh.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (sinh.f64 (acosh.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(sin.f64 (acos.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(cosh.f64 (neg.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(cosh.f64 (asinh.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(cosh.f64 (asinh.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)))
(cos.f64 (asin.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(cos.f64 (asin.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(exp.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log1p.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) #s(literal -2 binary64))
(.f64 (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(.f64 (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 #s(literal -2 binary64) J))
(.f64 (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal -2 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal -2 binary64)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal -2 binary64))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(.f64 #s(literal -2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))))
(.f64 #s(literal -2 binary64) (.f64 J (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(.f64 J (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) #s(literal -2 binary64))))
(.f64 J (.f64 #s(literal -2 binary64) (.f64 (sin.f64 (acos.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))
(.f64 (pow.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) (pow.f64 U #s(literal 3 binary64))) #s(literal -2 binary64)) (pow.f64 U #s(literal -4 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) (*.f64 U U)) #s(literal -2 binary64)) (pow.f64 U #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (.f64 #s(literal 1/4 binary64) (*.f64 U U)))
(.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)))
(.f64 (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (fabs.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 (.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (pow.f64 U #s(literal -1 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))
(.f64 (.f64 (pow.f64 J #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U) #s(literal -2 binary64)))
(.f64 (pow.f64 J #s(literal -2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal -2 binary64) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -2 binary64)))
(.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) #s(literal -2 binary64)) (*.f64 U U))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) #s(literal -2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal -2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) J) U) #s(literal -2 binary64)))
(.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)))
(.f64 (.f64 U U) (pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 U U) (pow.f64 (pow.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal -1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) #s(literal -2 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (pow.f64 (.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 1 binary64)))
(.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))
(.f64 U (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 1 binary64)))
(.f64 U (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)) (/.f64 (/.f64 U (.f64 #s(literal -2 binary64) J)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (*.f64 #s(literal 2 binary64) J) U))))
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(-.f64 #s(literal 0 binary64) U)
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U
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(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
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(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal -1/2 binary64) K))))
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(+.f64 (.f64 (sin.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)))

eval110.0ms (1.4%)

Memory: -19.3MiB live, 211.0MiB allocated
Compiler: Compiled 39 402 to 3 409 computations (91.3% saved)

prune51.0ms (0.6%)

Memory

16.2MiB live, 108.2MiB allocated

Pruning

21 alts after pruning (18 fresh and 3 done)

	Pruned	Kept	Total
New	734	9	743
Fresh	9	9	18
Picked	5	0	5
Done	0	3	3
Total	748	21	769

Accuracy

99.9%

Counts

769 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	73.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64))))
✓	73.4%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))
	57.2%	(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
	39.3%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	39.1%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (+.f64 (cosh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	26.5%	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
✓	29.3%	(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
	54.1%	#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
	40.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	52.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	39.9%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
	7.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
	7.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 U U)))
✓	39.1%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
	11.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64))))
	28.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
	17.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (/.f64 (fma.f64 (.f64 (.f64 J J) K) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 U U) K) #s(literal -1/32 binary64))) J)) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
	25.4%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (.f64 (.f64 J K) #s(literal 1/4 binary64))) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))))
	30.5%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
	22.0%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))))
	12.6%	#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Compiler

Compiled 2 885 to 912 computations (68.4% saved)

regimes87.0ms (1.1%)

Memory

-7.0MiB live, 150.5MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 #s(approx (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (.f64 (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 K K))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (.f64 (.f64 J K) #s(literal 1/4 binary64))) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 J K) K) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (/.f64 (fma.f64 (.f64 (.f64 J J) K) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 U U) K) #s(literal -1/32 binary64))) J)) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 U U)))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))) U) (neg.f64 U)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64))))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (+.f64 (cosh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (sinh.f64 (log.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))

(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

6 calls:

15.0ms	U
14.0ms	J
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	K

Results

Accuracy	Segments	Branch
79.6%	2	`J`
73.4%	1	`K`
83.9%	2	`U`
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`
73.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
73.4%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes15.0ms (0.2%)

Memory

-5.6MiB live, 33.1MiB allocated

Counts

45 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 #s(approx (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (.f64 (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 K K))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (.f64 (.f64 J K) #s(literal 1/4 binary64))) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 J K) K) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (/.f64 (fma.f64 (.f64 (.f64 J J) K) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 U U) K) #s(literal -1/32 binary64))) J)) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 U U)))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))) U) (neg.f64 U)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64))))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 J #s(literal 2 binary64)) U)) #s(literal -2 binary64)) #s(literal 1 binary64))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 U) (/.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J))) #s(literal 2 binary64)))))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))

(*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64))))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

1 calls:

13.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
99.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes28.0ms (0.4%)

Memory

-19.3MiB live, 62.3MiB allocated

Counts

42 → 4

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 #s(approx (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (.f64 (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 K K))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (.f64 (.f64 J K) #s(literal 1/4 binary64))) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 J K) K) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (/.f64 (fma.f64 (.f64 (.f64 J J) K) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 U U) K) #s(literal -1/32 binary64))) J)) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 U U)))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))) U) (neg.f64 U)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1)) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (exp.f64 (*.f64 (log.f64 U) #s(literal 1 binary64))))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (pow.f64 (sqrt.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (/.f64 (.f64 J J) (*.f64 U U))) #s(literal -2 binary64) #s(literal -1 binary64)) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 U U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (/.f64 (fma.f64 (.f64 (.f64 #s(literal -2 binary64) J) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 (.f64 #s(literal -1/4 binary64) (.f64 U U)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) U) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (.f64 (fma.f64 (/.f64 (.f64 #s(literal -2 binary64) J) U) (/.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U) (/.f64 #s(literal -1/4 binary64) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J))) (.f64 U U))))

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

2 calls:

12.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

12.0ms

Results

Accuracy	Segments	Branch
76.7%	2	`U`
86.4%	4	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 25 to 20 computations (20% saved)

regimes10.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

27 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 #s(approx (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (.f64 (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 K K))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (.f64 (.f64 J K) #s(literal 1/4 binary64))) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 J K) K) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (/.f64 (fma.f64 (.f64 (.f64 J J) K) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 U U) K) #s(literal -1/32 binary64))) J)) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 U U)))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ (pow (* (cos (* 1/2 K)) (/ (* J 2) U)) -2) 1))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal -2 binary64) J)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (.f64 (+.f64 (PI.f64) K) #s(literal 1/2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (sin.f64 (/.f64 (+.f64 (PI.f64) K) #s(literal 2 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))))) U) J) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 #s(literal 1/2 binary64) K (PI.f64)))))) U) (neg.f64 U)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))

#s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

1 calls:

8.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
82.4%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes40.0ms (0.5%)

Memory

-9.8MiB live, 68.0MiB allocated

Counts

20 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 #s(approx (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (.f64 (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 K K))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (.f64 (.f64 J K) #s(literal 1/4 binary64))) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 J K) K) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/23040 binary64) (.f64 (.f64 K K) J) (.f64 #s(literal -1/192 binary64) J)) K) K (.f64 #s(literal 1/4 binary64) J)) (.f64 K K) (.f64 #s(literal -2 binary64) J))) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 U U) J) (.f64 #s(literal 1/4 binary64) J)) K) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (/.f64 (fma.f64 (.f64 (.f64 J J) K) #s(literal 1/4 binary64) (.f64 (.f64 (.f64 U U) K) #s(literal -1/32 binary64))) J)) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (*.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (pow.f64 U #s(literal -1 binary64)) (.f64 U U)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (*.f64 (*.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (*.f64 U U) J) #s(literal 1 binary64)))))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

6 calls:

7.0ms	K
7.0ms	U
6.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	J
6.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
45.3%	2	`K`
45.3%	2	`(/.f64 K #s(literal 2 binary64))`
55.4%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
56.3%	2	`U`
50.5%	2	`J`
67.8%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

regimes6.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

15 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 #s(approx (+ (* 1/2 (* (* (* K K) J) J)) (* (* -2 J) J)) (.f64 (.f64 (.f64 J J) #s(literal 1/2 binary64)) (.f64 K K))) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J) J) U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 (.f64 (.f64 J J) #s(literal -2 binary64)) (/.f64 #s(approx (pow (cos (* -1/2 K)) 2) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))) U) (neg.f64 U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* -2 J) (cos (* -1/2 K))) (/ (/ (* -1/4 (* U U)) J) (cos (* -1/2 K)))) (fma.f64 #s(approx (* (+ (* -1/32 (/ (* U U) J)) (* 1/4 J)) K) (.f64 (.f64 J K) #s(literal 1/4 binary64))) K (fma.f64 (/.f64 (.f64 U U) J) #s(literal -1/4 binary64) (.f64 #s(literal -2 binary64) J)))))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 J K) K) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) #s(approx (+ (* (* (* J J) -2) (/ (pow (cos (* -1/2 K)) 2) U)) (neg U)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 K K) J) J) (.f64 (*.f64 #s(literal -2 binary64) J) J)) U) U)))
(.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx (cos (/ K 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)))) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (*.f64 #s(literal -2 binary64) J) (neg.f64 U)))

(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

1 calls:

5.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
62.6%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))
(.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (*.f64 U U) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 U U)) (+.f64 #s(literal 0 binary64) U)))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

(*.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (*.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64)))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

1 calls:

2.0ms

(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (*.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
62.2%	3	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

Outputs

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U))

#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

4 calls:

2.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	J
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	U

Results

Accuracy	Segments	Branch
39.1%	1	`J`
50.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
39.1%	1	`U`
50.1%	2	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 30 to 29 computations (3.3% saved)

regimes8.0ms (0.1%)

Memory

-20.8MiB live, 18.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Outputs
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Calls

6 calls:

2.0ms	(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	K
1.0ms	J

Results

Accuracy	Segments	Branch
12.6%	1	`U`
12.6%	1	`J`
12.6%	1	`K`
12.6%	1	`(/.f64 K #s(literal 2 binary64))`
12.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
12.6%	1	`(.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)))))`

Compiler

Compiled 34 to 37 computations (-8.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0285129331952986e+307	+inf
0.0ms	-1.0831836520498498e+307	-1.179820209697488e+306

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0285129331952986e+307	+inf
0.0ms	-3.0988012829818057e+301	-1.9239184099643253e+297

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0285129331952986e+307	+inf
0.0ms	-1.0663846009039937e+174	-1.7372789061137476e+164
0.0ms	-3.0988012829818057e+301	-1.9239184099643253e+297

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0285129331952986e+307	+inf
0.0ms	-3.0988012829818057e+301	-1.9239184099643253e+297

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.0410841247289325e-270	3.868427977670062e-267
0.0ms	-5.4652217227288274e+278	-2.628555358309525e+277

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.0410841247289325e-270	3.868427977670062e-267
0.0ms	-3.0988012829818057e+301	-1.9239184099643253e+297

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-1.0410841247289325e-270	3.868427977670062e-267
0.0ms	-3.0988012829818057e+301	-1.9239184099643253e+297

Compiler

Compiled 27 to 23 computations (14.8% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-1.0410841247289325e-270	3.868427977670062e-267

Compiler

Compiled 27 to 23 computations (14.8% saved)

simplify69.0ms (0.9%)

Memory

-16.0MiB live, 103.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1239
1	120	1239
2	122	1239
3	128	1239
4	143	1239
5	156	1239
6	179	1239
7	216	1239
8	272	1239
9	350	1239
10	434	1239
11	563	1239
12	681	1239
13	804	1239
14	909	1239
15	1024	1239
16	1057	1239
17	1062	1239

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (.f64 #s(literal -2 binary64) J) (neg.f64 U))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (.f64 #s(literal -2 binary64) J) (neg.f64 U))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) U) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (.f64 #s(literal -2 binary64) J) (neg.f64 U))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -1000000000000000068957567536844582937679826098352437099093782830596656320642208754566186799616905285426599982929417458880300383900478261195703581718577367397759832385751351296 binary64)) #s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) #s(approx (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U))))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (.f64 #s(literal -2 binary64) J) (neg.f64 U))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) #s(approx (* (* (* (cos (* -1/2 K)) J) -2) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -500000000000000028986646137480196881632931284272850018302610192825694054359591218473274634784243508355170503009423368216796224091450092122192370027620186909274046412748162341857743352309860015738496128237632014104682468895074680421910417633003749639759411672687264932533616246784 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (.f64 #s(literal -2 binary64) J) (neg.f64 U))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2379227053564453/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (.f64 (.f64 #s(literal -2 binary64) J) (sqrt.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) J) (/.f64 (.f64 U U) J) #s(literal 1 binary64))))) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (.f64 #s(literal -2 binary64) J) (neg.f64 U))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2379227053564453/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) (.f64 #s(approx ( (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -20000000000000001050095205104088404974089371622163183098317082310236049159778163915727427501608957280874088876657677563538850464707208611512895843695734139656967744018531516074756604675895761801187379064699415998901622380779352817601493054855602849891585175776401136856762313389443927737309188010803200 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2379227053564453/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) (.f64 #s(approx (* (* -2 J) (cos (/ K 2))) (.f64 #s(literal -2 binary64) J)) #s(approx (sqrt (+ 1 (pow (/ U ( (* 2 J) (cos (/ K 2)))) 2))) #s(literal 1 binary64))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -2379227053564453/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

Outputs
(if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal -9999999999999999860310597602564577717002641838126363875249660735883565852672743849064846414228960666786379280392654615393353172850252103336275952370615397010730691664689375178569039851073146339641623266071126720011020169553304018596457812688561947201171488461172921822139066929851282122002676667750021070848 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (fma.f64 #s(approx (* (/ (pow (cos (* 1/2 K)) 2) U) J) (/.f64 J U)) (.f64 #s(literal -2 binary64) J) (neg.f64 U))) (if (<=.f64 (.f64 (.f64 (.f64 #s(literal -2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 19999999999999999720621195205129155434005283676252727750499321471767131705345487698129692828457921333572758560785309230786706345700504206672551904741230794021461383329378750357138079702146292679283246532142253440022040339106608037192915625377123894402342976922345843644278133859702564244005353335500042141696 binary64)) (.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) #s(literal -2 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)))
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(if (<=.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (/.f64 U (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -2 binary64)))) #s(literal -2379227053564453/2379227053564452900476899997039840896210016322655031134489234974905505051456646997672269303193850160943677958064308756880727336392871849132465328929763831401252753344715935798308298255734876378992382713251762299529708397931004608141051358304557852932819272168726630260518024558103494656 binary64)) #s(approx ( (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (neg.f64 U)) #s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U))
#s(approx (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) U)

soundness1.4s (17.6%)

Memory

37.3MiB live, 545.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	633	4307
1	2365	4138
0	9044	3917
0	77	385
0	116	357
1	457	331
2	3715	328
0	8981	326
0	777	5689
1	2951	5496
0	8542	5245
0	50	296
0	79	296
1	237	275
2	1661	271
0	9256	271
0	17	59
0	28	59
1	88	53
2	543	53
3	6439	53
0	8263	53
0	348	2456
1	1262	2334
2	6082	2330
0	8975	2198

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit

Compiler

Compiled 2 697 to 1 081 computations (59.9% saved)

preprocess252.0ms (3.2%)

Memory: -25.0MiB live, 211.7MiB allocated
Remove: (abs K)
Compiler: Compiled 4 016 to 790 computations (80.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze274.0ms (3.5%)

sample1.7s (21.6%)

explain302.0ms (3.8%)

preprocess172.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize64.0ms (0.8%)

series66.0ms (0.8%)

simplify213.0ms (2.7%)

rewrite196.0ms (2.5%)

eval100.0ms (1.3%)

prune13.0ms (0.2%)

simplify0.0ms (0%)

localize180.0ms (2.3%)

series76.0ms (1%)

simplify192.0ms (2.4%)

rewrite300.0ms (3.8%)

eval208.0ms (2.6%)

prune94.0ms (1.2%)

simplify0.0ms (0%)

localize268.0ms (3.4%)

series71.0ms (0.9%)

simplify236.0ms (3%)

rewrite231.0ms (2.9%)

eval155.0ms (2%)

prune37.0ms (0.5%)

simplify0.0ms (0%)

localize174.0ms (2.2%)

series62.0ms (0.8%)

simplify228.0ms (2.9%)

rewrite201.0ms (2.5%)

eval110.0ms (1.4%)

prune51.0ms (0.6%)

regimes87.0ms (1.1%)

regimes15.0ms (0.2%)

regimes28.0ms (0.4%)

regimes10.0ms (0.1%)

regimes40.0ms (0.5%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

regimes8.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify69.0ms (0.9%)

soundness1.4s (17.6%)

preprocess252.0ms (3.2%)

end0.0ms (0%)

Profiling