Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.8s (1.2%)

Memory

56.2MiB live, 2 751.1MiB allocated

Samples

704.0ms	1 885×	1	valid
699.0ms	6 371×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-exp: 447.0ms (39.5% of total)

ival-cos: 288.0ms (25.4% of total)

ival-mult: 140.0ms (12.4% of total)

ival-sub: 55.0ms (4.9% of total)

ival-div: 54.0ms (4.8% of total)

ival-add: 51.0ms (4.5% of total)

adjust: 44.0ms (3.9% of total)

ival-neg: 36.0ms (3.2% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain260.0ms (0.2%)

Memory

-8.1MiB live, 426.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
127	0	-	1	(-2.4075127481592874e+138 -0.007459790262638955 5.636536160223046e+71 -29255828.69068139)	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	0	-	`K`
0	0	-	0	-	`(neg.f64 l)`
0	0	-	0	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	0	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	111	(-1.6930688480731033e-286 2.0236518073151336e+82 3.4026264280918605e+263 8.171584734183877e+148)	0	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	0	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	0	-	`J`
0	0	-	0	-	`U`
0	1	(-2614995.7031393517 153.96020443641603 4.895613177028103e-152 1.775128760620368e-245)	0	-	`(exp.f64 (neg.f64 l))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 l)`
0	0	-	0	-	`l`
0	0	-	0	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	111	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	36	1
`exp.f64`	`(exp.f64 (neg.f64 l))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	35	0
-	93	128

Precision

0.2734375

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	93	0	128

Precision?

0.2734375

Recall?

1.0

Freqs

test

number	freq
0	128
1	108
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	184×	1	valid
42.0ms	270×	0	valid
31.0ms	58×	2	valid

Compiler

Compiled 145 to 46 computations (68.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

ival-exp: 48.0ms (47.6% of total)

ival-cos: 17.0ms (16.9% of total)

ival-mult: 11.0ms (10.9% of total)

adjust: 7.0ms (6.9% of total)

ival-div: 6.0ms (5.9% of total)

ival-sub: 4.0ms (4% of total)

ival-add: 4.0ms (4% of total)

ival-neg: 2.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

preprocess234.0ms (0.2%)

Memory

30.2MiB live, 338.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 668×	`lower-fma.f64`
6 668×	`lower-fma.f32`
4 074×	`lower-+.f32`
4 072×	`lower-+.f64`
2 548×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	214
1	220	211
2	732	210
3	3812	197
0	14	15
0	23	15
1	50	15
2	139	15
3	620	14
4	3703	14
0	8501	13

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

(fma.f64 J (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Symmetry

(abs K)

Samples

1.0ms	1×	2	valid
0.0ms	1×	0	valid

Compiler

Compiled 66 to 43 computations (34.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

adjust: 0.0ms (0% of total)

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

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

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

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

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

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

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.1%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify717.0ms (0.5%)

Memory

4.3MiB live, 1 184.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff	0	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	128	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Rules

6 668×	`lower-fma.f64`
6 668×	`lower-fma.f32`
4 074×	`lower-+.f32`
4 072×	`lower-+.f64`
2 548×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	23	61
1	50	61
2	139	61
3	620	57
4	3703	57
0	8501	56

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

Outputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J (.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 J (+.f64 (sinh.f64 l) (sinh.f64 l)))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (sinh.f64 l) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

Samples

206.0ms	3 633×	0	valid
27.0ms	61×	2	valid
15.0ms	86×	1	valid

Compiler

Compiled 28 488 to 26 238 computations (7.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-add: 52.0ms (34.4% of total)

ival-exp: 33.0ms (21.9% of total)

ival-cos: 20.0ms (13.2% of total)

ival-mult: 11.0ms (7.3% of total)

ival-neg: 10.0ms (6.6% of total)

ival-div: 9.0ms (6% of total)

ival-sinh: 6.0ms (4% of total)

ival-true: 4.0ms (2.6% of total)

adjust: 3.0ms (2% of total)

ival-assert: 2.0ms (1.3% of total)

exact: 2.0ms (1.3% of total)

ival-sub: 1.0ms (0.7% of total)

localize108.0ms (0.1%)

Memory

21.4MiB live, 135.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy	0.0078125	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.07650375976844201	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	29.101231292129427	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

39.0ms	92×	1	valid
27.0ms	135×	0	valid
25.0ms	29×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-exp: 34.0ms (47% of total)

ival-cos: 13.0ms (18% of total)

ival-sub: 7.0ms (9.7% of total)

ival-mult: 7.0ms (9.7% of total)

adjust: 4.0ms (5.5% of total)

ival-div: 2.0ms (2.8% of total)

ival-add: 2.0ms (2.8% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0%)

Memory

-16.0MiB live, 28.7MiB allocated

Counts

4 → 120

Calls

Call 1

Inputs
#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())

Outputs
#s(alt U (taylor 0 J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor 0 J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J))) (taylor inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J))))) (taylor -inf J) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt U (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))) (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))) (taylor 0 l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))) (taylor inf l) (#s(alt (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())) ())
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#s(alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))) (taylor 0 l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K)))))))))) (taylor 0 l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))) (taylor -inf l) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))) (taylor 0 K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (taylor -inf K) (#s(alt (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor 0 J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor -inf J) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (* J l)) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))))) (taylor 0 l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (neg l)))) (taylor inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())
#s(alt (* J (- (exp l) (exp (* -1 l)))) (taylor -inf l) (#s(alt (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (patch (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #<representation binary64>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
1.0ms	l	@	-inf	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	l	@	inf	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	J	@	0	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms	l	@	0	(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)

simplify10.7s (7.2%)

Memory

-404.2MiB live, 16 121.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 464×	`lower-fma.f64`
13 464×	`lower-fma.f32`
6 006×	`lower-*.f64`
6 006×	`lower-*.f32`
3 828×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1722
1	520	1722
2	2247	1612
3	7341	1612
0	8374	1538

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 l (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (+.f64 J J) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l l))) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.f64 K K) (.f64 J #s(literal -1/8 binary64)) J) U)
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) U))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(fma.f64 (.f64 K K) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.f64 K K) (.f64 J #s(literal -1/8 binary64)) J) U))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 U (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 U (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 U (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U)) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 U (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 U (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(fma.f64 U (.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 J U)) U)
(* 2 l)
(+.f64 l l)
(* l (+ 2 (* 1/3 (pow l 2))))
(.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 l (+.f64 J J)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(.f64 l (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (+.f64 J J) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(.f64 l (fma.f64 (.f64 l l) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l l))) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (.f64 K K))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(fma.f64 K (.f64 K (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (.f64 K K))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.f64 K K) (*.f64 J #s(literal -1/8 binary64)) J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 J (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 2 (* J l))
(*.f64 l (+.f64 J J))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(.f64 l (+.f64 J (fma.f64 (.f64 J (.f64 l l)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(.f64 l (+.f64 J (fma.f64 l (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (.f64 J #s(literal 1/3 binary64)))) J)))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Samples

3.0s	21 488×	0	valid
2.9s	8 511×	1	valid
566.0ms	1 128×	2	valid
62.0ms	402×	0	exit
6.0ms	32×	1	exit

Compiler

Compiled 613 811 to 464 578 computations (24.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.8s

ival-exp: 1.8s (38.4% of total)

ival-mult: 1.1s (22% of total)

ival-cos: 726.0ms (15.1% of total)

ival-add: 319.0ms (6.6% of total)

ival-neg: 252.0ms (5.2% of total)

adjust: 222.0ms (4.6% of total)

ival-sub: 141.0ms (2.9% of total)

const: 138.0ms (2.9% of total)

ival-div: 43.0ms (0.9% of total)

ival-true: 31.0ms (0.6% of total)

ival-assert: 15.0ms (0.3% of total)

exact: 15.0ms (0.3% of total)

rewrite272.0ms (0.2%)

Memory

17.6MiB live, 409.3MiB allocated

Rules

8 732×	`lower-fma.f64`
8 732×	`lower-fma.f32`
5 070×	`lower-*.f32`
5 066×	`lower-*.f64`
3 186×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	23	34
1	85	34
2	638	34
0	8318	33

Stop Event

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

Counts

4 → 424

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Outputs
(+.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) U)
(+.f64 U (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(+.f64 U (neg.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (.f64 J (sinh.f64 l))))))
(+.f64 U (.f64 (neg.f64 (neg.f64 J)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(+.f64 U (.f64 (neg.f64 (.f64 #s(literal -2 binary64) (.f64 J (sinh.f64 l)))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(+.f64 U (.f64 (neg.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64)))) (.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(+.f64 (/.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(+.f64 (/.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
(+.f64 (/.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)) (.f64 U U))) (/.f64 (.f64 U (.f64 U U)) (fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)) (.f64 U U))))
(+.f64 (/.f64 (.f64 U (.f64 U U)) (fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)) (.f64 U U))) (/.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)) (.f64 U U))))
(-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (.f64 J (sinh.f64 l)))))
(-.f64 (/.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (+.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (.f64 J (sinh.f64 l)))))) (/.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (+.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal -2 binary64) (*.f64 J (sinh.f64 l)))))))
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 J (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(fma.f64 J (/.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (/.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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))))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(fma.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (/.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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))))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) J) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (pow.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (pow.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
(fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)) (.f64 U U))) (/.f64 (.f64 U (.f64 U U)) (fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)) (.f64 U U))))
(fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(fma.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))))
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(fma.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
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(/.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (.f64 l #s(literal -2 binary64))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (.f64 l #s(literal -2 binary64)))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) J) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))))
(/.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) J) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 #s(literal 2 binary64) (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) J))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))))
(.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))))) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J)
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (.f64 J (sinh.f64 l)))
(.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64))) (sinh.f64 l))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sinh.f64 l))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))))
(.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(+.f64 (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) (.f64 J (exp.f64 l)))
(+.f64 (.f64 J (exp.f64 l)) (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 J (sinh.f64 l)) (.f64 J (sinh.f64 l)))
(+.f64 (.f64 J (cosh.f64 l)) (.f64 J (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 J (-.f64 (exp.f64 l) (cosh.f64 l))) (.f64 J (sinh.f64 l)))
(+.f64 (.f64 (cosh.f64 l) J) (.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) J))
(+.f64 (.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) J) (.f64 J (sinh.f64 l)))
(-.f64 (.f64 J (exp.f64 l)) (.f64 (neg.f64 J) (neg.f64 (exp.f64 (neg.f64 l)))))
(-.f64 (.f64 J (exp.f64 l)) (.f64 (exp.f64 (neg.f64 l)) J))
(fma.f64 J (exp.f64 l) (*.f64 J (neg.f64 (exp.f64 (neg.f64 l)))))
(fma.f64 J (sinh.f64 l) (*.f64 J (sinh.f64 l)))
(fma.f64 J (cosh.f64 l) (*.f64 J (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l)))))
(fma.f64 J (neg.f64 (exp.f64 (neg.f64 l))) (*.f64 J (exp.f64 l)))
(fma.f64 J (-.f64 (exp.f64 l) (cosh.f64 l)) (*.f64 J (sinh.f64 l)))
(fma.f64 (exp.f64 l) J (*.f64 J (neg.f64 (exp.f64 (neg.f64 l)))))
(fma.f64 (sinh.f64 l) J (*.f64 J (sinh.f64 l)))
(fma.f64 (cosh.f64 l) J (*.f64 (-.f64 (sinh.f64 l) (exp.f64 (neg.f64 l))) J))
(fma.f64 (neg.f64 (exp.f64 (neg.f64 l))) J (*.f64 J (exp.f64 l)))
(fma.f64 #s(literal -1 binary64) (.f64 (exp.f64 (neg.f64 l)) J) (.f64 J (exp.f64 l)))
(fma.f64 (-.f64 (exp.f64 l) (cosh.f64 l)) J (*.f64 J (sinh.f64 l)))
(fma.f64 (.f64 J #s(literal -1 binary64)) (exp.f64 (neg.f64 l)) (.f64 J (exp.f64 l)))
(/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))))
(/.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))))
(/.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (neg.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (+.f64 (pow.f64 (.f64 J (exp.f64 l)) #s(literal 3 binary64)) (pow.f64 (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) #s(literal 3 binary64))) (fma.f64 (.f64 J (exp.f64 l)) (.f64 J (exp.f64 l)) (-.f64 (.f64 (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) (.f64 J (neg.f64 (exp.f64 (neg.f64 l))))) (.f64 (.f64 J (exp.f64 l)) (.f64 J (neg.f64 (exp.f64 (neg.f64 l))))))))
(/.f64 (-.f64 (.f64 (.f64 J (exp.f64 l)) (.f64 J (exp.f64 l))) (.f64 (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))))) (-.f64 (.f64 J (exp.f64 l)) (.f64 J (neg.f64 (exp.f64 (neg.f64 l))))))
(/.f64 (.f64 J #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 (.f64 J (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 J (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (.f64 l #s(literal -2 binary64))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (.f64 (.f64 J #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 1 binary64) J) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 (.f64 (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) J) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (.f64 l #s(literal -2 binary64)))) J) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (/.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) #s(literal 2 binary64)) (cosh.f64 l))
(.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
(.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))
(.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))
(.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))) J))
(.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (/.f64 J (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))))))
(.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) J))
(.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (/.f64 J (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (.f64 J #s(literal 2 binary64)) (sinh.f64 l))
(.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))
(.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))))
(.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 J (cosh.f64 l)))
(.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64)))) (cosh.f64 l)))
(.f64 (/.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (+.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 l #s(literal -2 binary64)))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 l #s(literal -2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l)) #s(literal 1 binary64)))))
(.f64 (/.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 l #s(literal -2 binary64)))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))
(.f64 (/.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 (/.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (+.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 l l)) (expm1.f64 (.f64 l #s(literal -2 binary64)))))

eval70.0ms (0%)

Memory: -24.8MiB live, 128.6MiB allocated
Compiler: Compiled 17 620 to 1 767 computations (90% saved)

prune125.0ms (0.1%)

Memory

-2.5MiB live, 211.7MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	524	16	540
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	525	16	541

Accuracy

100.0%

Counts

541 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.3%	(fma.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)))))) (/.f64 (pow.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
▶	33.6%	(fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
▶	99.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	31.5%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (pow.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
	38.1%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	49.9%	(+.f64 (.f64 (.f64 J (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	94.7%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	92.8%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	88.2%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	89.9%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (+.f64 J (fma.f64 (.f64 J (.f64 l l)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.5%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (+.f64 J (fma.f64 l (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (.f64 J #s(literal 1/3 binary64)))) J)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	83.8%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	21.5%	(.f64 (/.f64 (-.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (.f64 U U)) (-.f64 (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(literal 3 binary64)) (.f64 U (.f64 U U)))) (fma.f64 U (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U) (pow.f64 (.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))))
▶	63.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U))
	83.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
▶	77.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Compiler

Compiled 1 090 to 560 computations (48.6% saved)

simplify3.4s (2.2%)

Memory

95.6MiB live, 5 582.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	192	(/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
cost-diff	512	(.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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)))))))
cost-diff	640	(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
cost-diff	14656	(fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
cost-diff	0	(exp.f64 l)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
cost-diff	128	(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
cost-diff	6400	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	128	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
cost-diff	0	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U))
cost-diff	0	(sinh.f64 l)
cost-diff	0	(*.f64 #s(literal 2 binary64) (sinh.f64 l))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff	128	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)

Rules

6 678×	`lower-fma.f32`
6 664×	`lower-fma.f64`
5 358×	`lower-*.f32`
5 328×	`lower-*.f64`
2 066×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	494
0	104	488
1	238	465
2	757	450
3	3800	429
0	8443	422

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
#s(literal 2 binary64)
(sinh.f64 l)
l
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
(*.f64 l (+.f64 J J))
l
(+.f64 J J)
J
U
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
J
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
l
(fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(*.f64 l l)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
U
(fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l)))
J
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
#s(literal 2 binary64)
(sinh.f64 l)
l
(+.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))))))
#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)))))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
(/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(neg.f64 U)
U
(/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
(*.f64 U (neg.f64 U))

Outputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (+.f64 J J) (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
#s(literal 2 binary64)
(sinh.f64 l)
l
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l (+.f64 J J)) U))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l (+.f64 J J)) U)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
(*.f64 l (+.f64 J J))
l
(+.f64 J J)
J
U
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))
J
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 l l)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (sinh.f64 l) (+.f64 J J) U))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(fma.f64 (sinh.f64 l) (+.f64 J J) U)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
U
(fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sinh.f64 l) (fma.f64 (cos.f64 K) J J)) (sinh.f64 l)) (+.f64 J J)) (.f64 U U)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (sinh.f64 l) (+.f64 J J)) (neg.f64 U)))
(.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 (sinh.f64 l) (fma.f64 (cos.f64 K) J J))
(.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (sinh.f64 l) (+.f64 J J))
J
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
#s(literal 2 binary64)
(sinh.f64 l)
l
(+.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))))))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
#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 #s(literal 1/2 binary64) (cos.f64 K))
(cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))))
(cos.f64 K)
(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
K
(*.f64 K #s(literal 1/2 binary64))
K
(/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
(/.f64 (.f64 (sinh.f64 l) (+.f64 J J)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 (sinh.f64 l) (+.f64 J J)) (neg.f64 U)))
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (sinh.f64 l) (+.f64 J J)) (neg.f64 U))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(neg.f64 U)
U
(/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
(/.f64 (.f64 U U) (fma.f64 (.f64 (sinh.f64 l) (+.f64 J J)) (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64))) U))
(*.f64 U (neg.f64 U))
(neg.f64 (*.f64 U U))

Samples

1.3s	20 171×	0	valid
136.0ms	125×	4	exit
51.0ms	48×	2	valid
51.0ms	83×	1	valid
41.0ms	58×	2	exit
37.0ms	228×	1	exit

Compiler

Compiled 211 113 to 166 797 computations (21% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-cos: 325.0ms (31.3% of total)

ival-mult: 252.0ms (24.2% of total)

ival-add: 141.0ms (13.6% of total)

const: 98.0ms (9.4% of total)

ival-sinh: 61.0ms (5.9% of total)

ival-div: 43.0ms (4.1% of total)

adjust: 38.0ms (3.7% of total)

ival-true: 19.0ms (1.8% of total)

ival-sub: 16.0ms (1.5% of total)

ival-neg: 15.0ms (1.4% of total)

ival-assert: 10.0ms (1% of total)

ival-cosh: 9.0ms (0.9% of total)

exact: 9.0ms (0.9% of total)

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

localize292.0ms (0.2%)

Memory

-4.8MiB live, 469.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
accuracy	0.27598474150476143	(+.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))))))
accuracy	2.7976143464778778	(/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
accuracy	11.077377046806781	(/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
accuracy	0	(exp.f64 l)
accuracy	0.00390625	(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
accuracy	4.821706343744824	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
accuracy	29.101231292129427	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
accuracy	0.01171875	(.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
accuracy	0.07650375976844201	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.18359375	(.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
accuracy	0.9573761662198168	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
accuracy	0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.041347509768442016	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)
accuracy	1.2062706870694564	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U))
accuracy	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
accuracy	0.0078125	(sinh.f64 l)
accuracy	0.0234375	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
accuracy	0.078125	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))

Samples

95.0ms	92×	1	valid
72.0ms	125×	1	exit
39.0ms	29×	2	valid
5.0ms	10×	0	valid

Compiler

Compiled 433 to 54 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-mult: 45.0ms (27.6% of total)

ival-exp: 31.0ms (19% of total)

adjust: 25.0ms (15.4% of total)

ival-cos: 25.0ms (15.4% of total)

ival-add: 16.0ms (9.8% of total)

const: 9.0ms (5.5% of total)

ival-div: 6.0ms (3.7% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series141.0ms (0.1%)

Memory

-8.9MiB live, 222.2MiB allocated

Counts

25 → 684

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (patch (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (sinh.f64 l)) (patch (.f64 #s(literal 2 binary64) (sinh.f64 l)) #<representation binary64>) () ())
#s(alt (sinh.f64 l) (patch (sinh.f64 l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U) (patch (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (patch (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/2 binary64) K) (patch (.f64 #s(literal 1/2 binary64) K) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (patch (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (patch (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (patch (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) #<representation binary64>) () ())
#s(alt #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (patch #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (patch (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) (patch (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) #<representation binary64>) () ())
#s(alt (exp.f64 l) (patch (exp.f64 l) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))) (patch (fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) (patch (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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))))))) (patch (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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))))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (cos.f64 (.f64 K #s(literal 1/2 binary64))) (patch (cos.f64 (.f64 K #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) (patch (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())
#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())

Outputs
#s(alt U (taylor 0 l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (- (exp l) (/ 1 (exp l))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))) (taylor 0 K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor inf K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (taylor -inf K) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
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#s(alt (+ (* U (+ (/ 1 (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))) (/ U (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (+ (* U (+ (* U (+ (/ 1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ U (* (pow J 3) (* (pow (cos (* 1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ 1 (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (cos (* 1/2 K)))) (taylor 0 U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) (taylor inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* J (- (exp l) (/ 1 (exp l))))) (* -1 (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U))) U) (taylor inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* J (- (exp l) (/ 1 (exp l))))) (+ (* -1 (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))))) U) (taylor inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (* J (- (exp l) (/ 1 (exp l))))) (+ (* -1 (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (+ (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3)))))) U) (taylor inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) (taylor -inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* J (- (exp l) (/ 1 (exp l)))) (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) U)) (taylor -inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)) (* J (- (exp l) (/ 1 (exp l))))) U)) (taylor -inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (+ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 4))) U)) U))) U)) (* J (- (exp l) (/ 1 (exp l))))) U)) (taylor -inf U) (#s(alt (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (patch (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1/4 (pow K 2))) (taylor 0 K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4))) (taylor 0 K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4))) (taylor 0 K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/2 (cos K))) (taylor -inf K) (#s(alt (+.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)))))) (patch (+.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)))))) #<representation binary64>) () ())) ())

Calls

171 calls:

Time	Variable		Point	Expression
13.0ms	l	@	inf	(+ (* (* (* J (* 2 (sinh l))) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (/ (* J (* 2 (sinh l))) (+ (* J (* (* 2 (sinh l)) (cos (* K 1/2)))) (neg U)))) (/ (* U (neg U)) (+ (* J (* (* 2 (sinh l)) (cos (* K 1/2)))) (neg U))))
7.0ms	l	@	inf	(/ (* J (* 2 (sinh l))) (+ (* J (* (* 2 (sinh l)) (cos (* K 1/2)))) (neg U)))
4.0ms	K	@	0	(+ (* (* (* J (* 2 (sinh l))) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (/ (* J (* 2 (sinh l))) (+ (* J (* (* 2 (sinh l)) (cos (* K 1/2)))) (neg U)))) (/ (* U (neg U)) (+ (* J (* (* 2 (sinh l)) (cos (* K 1/2)))) (neg U))))
4.0ms	J	@	inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
4.0ms	K	@	inf	(+ (* (* (* J (* 2 (sinh l))) (+ 1/2 (* 1/2 (cos (* 2 (* K 1/2)))))) (/ (* J (* 2 (sinh l))) (+ (* J (* (* 2 (sinh l)) (cos (* K 1/2)))) (neg U)))) (/ (* U (neg U)) (+ (* J (* (* 2 (sinh l)) (cos (* K 1/2)))) (neg U))))

simplify1.4min (55.6%)

Memory

1 190.4MiB live, 124 604.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 696×	`lower-fma.f64`
8 696×	`lower-fma.f32`
7 502×	`lower-*.f64`
7 502×	`lower-*.f32`
5 744×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1028	14679
1	3937	14217
0	9264	13615

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 639

Calls

Call 1

Inputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* l (cos (* 1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
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(* J (* (+ 1/2 (* 1/2 (cos K))) (- (exp l) (/ 1 (exp l)))))
(* J (* (+ 1/2 (* 1/2 (cos K))) (- (exp l) (/ 1 (exp l)))))
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(* (pow U 2) (- (* -1 (/ U (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (/ 1 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))))
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U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (- (+ 1 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))))
(* U (- (+ 1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) (* -1 (/ (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))))))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
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(* -1 (* U (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) U)) (* (pow J 2) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) U)) (* -1 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))) U)) 1)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ (* J (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))) U))))
(+ U (* J (+ (* J (+ (/ (* J (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2)) (/ (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)) U))) (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(* -1 (/ (pow U 2) (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(/ (+ (* -1 (/ (pow U 2) (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 3) (* J (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)
(/ (+ (* -1 (/ (pow U 2) (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))))) J)
(/ (+ (* -1 (/ (pow U 2) (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) (+ (* -1 (/ (pow U 3) (* J (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) (+ (* -1 (/ (pow U 4) (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))))) (* -1 (/ (pow U 5) (* (pow J 3) (* (pow (cos (* 1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4)))))))) J)
(* -1 (/ (pow U 2) (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))))
(* -1 (/ (+ (/ (pow U 2) (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (/ (pow U 3) (* J (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow U 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (pow U 4) (* J (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3)))))) J)) (/ (pow U 2) (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) J))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (/ (pow U 4) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 3))) (/ (pow U 5) (* J (* (pow (cos (* 1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 4))))) J)) (* -1 (/ (pow U 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 2))))) J)) (/ (pow U 2) (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))) J))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
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(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* l (+ (* 4 (/ (* (pow J 2) (pow (cos (* 1/2 K)) 2)) U)) (* l (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 8 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 3)) (pow U 2))))))))))
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(* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* -1/8 (/ (* J (* (pow K 2) (* (pow U 2) (- (exp l) (/ 1 (exp l)))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))
(+ (* -1 (/ (pow U 2) (- (* J (- (exp l) (/ 1 (exp l)))) U))) (* (pow K 2) (+ (* -1/8 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* (pow K 2) (+ (* -1/64 (/ (* (pow J 2) (* (pow U 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/384 (/ (* J (* (pow U 2) (- (exp l) (/ 1 (exp l))))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))))
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(* -1 (/ (pow U 2) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
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(* -1 (/ (pow U 2) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
1
(+ 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)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/3 l)
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* 1/60 (pow l 3))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 3))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* 1/60 (pow l 5))
(* (pow l 5) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 1/60 (pow l 5))
(* (pow l 5) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 2))) 1/60)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 2))) 1/60)))
(* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))
(* J (+ (* -1 (/ (* J (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow U 2))) (* -1 (/ (- (exp l) (/ 1 (exp l))) U))))
(* J (+ (* -1 (/ (- (exp l) (/ 1 (exp l))) U)) (* J (+ (* -1 (/ (* J (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 3))) (* -1 (/ (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow U 2)))))))
(* J (+ (* -1 (/ (- (exp l) (/ 1 (exp l))) U)) (* J (+ (* -1 (/ (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow U 2))) (* J (+ (* -1 (/ (* J (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 4))) (* -1 (/ (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow U 3)))))))))
(/ 1 (cos (* 1/2 K)))
(+ (/ 1 (cos (* 1/2 K))) (/ U (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))))
(+ (/ 1 (cos (* 1/2 K))) (+ (/ U (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))) (/ (pow U 2) (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2))))))
(+ (/ 1 (cos (* 1/2 K))) (+ (/ U (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))) (+ (/ (pow U 2) (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ (pow U 3) (* (pow J 3) (* (pow (cos (* 1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 3)))))))
(/ 1 (cos (* 1/2 K)))
(+ (/ 1 (cos (* 1/2 K))) (/ U (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))))
(+ (* -1 (/ (+ (* -1 (/ U (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (pow U 2) (* J (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2)))))) J)) (/ 1 (cos (* 1/2 K))))
(+ (* -1 (/ (+ (* -1 (/ U (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))) (* -1 (/ (+ (/ (pow U 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2))) (/ (pow U 3) (* J (* (pow (cos (* 1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 3))))) J))) J)) (/ 1 (cos (* 1/2 K))))
(* -2 (/ (* J l) U))
(* l (+ (* -4 (/ (* (pow J 2) (* l (cos (* 1/2 K)))) (pow U 2))) (* -2 (/ J U))))
(* l (+ (* -2 (/ J U)) (* l (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* 2 (* l (- (* -1/6 (/ J U)) (* 4 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 2)) (pow U 3))))))))))
(* l (+ (* -2 (/ J U)) (* l (+ (* -4 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2))) (* l (+ (* -2 (* l (+ (* -2 (/ (* J (* (cos (* 1/2 K)) (- (* -1/6 (/ J U)) (* 4 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 2)) (pow U 3)))))) U)) (* 1/3 (/ (* (pow J 2) (cos (* 1/2 K))) (pow U 2)))))) (* 2 (- (* -1/6 (/ J U)) (* 4 (/ (* (pow J 3) (pow (cos (* 1/2 K)) 2)) (pow U 3)))))))))))
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(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
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(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
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(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (- (exp l) (/ 1 (exp l)))) U))
(+ (* 1/8 (/ (* (pow J 2) (* (pow K 2) (pow (- (exp l) (/ 1 (exp l))) 2))) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/128 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/768 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))))) (* 1/8 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))) (/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(+ (* (pow K 2) (+ (* 1/8 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (* (pow K 2) (+ (* -2 (* (pow K 2) (+ (* -1/92160 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))) (+ (* 1/6144 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/8 (/ (* J (* (+ (* -1/128 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/768 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2)))) (- (exp l) (/ 1 (exp l))))) (- (* J (- (exp l) (/ 1 (exp l)))) U))))))) (* -2 (+ (* -1/128 (/ (* (pow J 3) (pow (- (exp l) (/ 1 (exp l))) 3)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 3))) (* 1/768 (/ (* (pow J 2) (pow (- (exp l) (/ 1 (exp l))) 2)) (pow (- (* J (- (exp l) (/ 1 (exp l)))) U) 2))))))))) (/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (- (exp l) (/ 1 (exp l)))) U)))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ (* J (- (exp l) (/ 1 (exp l)))) (- (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U))
(/ 1 (cos (* 1/2 K)))
(+ (/ 1 (cos (* 1/2 K))) (/ U (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))))
(+ (* U (+ (/ 1 (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))) (/ U (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2)))))) (/ 1 (cos (* 1/2 K))))
(+ (* U (+ (* U (+ (/ 1 (* (pow J 2) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 2)))) (/ U (* (pow J 3) (* (pow (cos (* 1/2 K)) 4) (pow (- (exp l) (/ 1 (exp l))) 3)))))) (/ 1 (* J (* (pow (cos (* 1/2 K)) 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (cos (* 1/2 K))))
(* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))
(/ (+ (* -1 (* J (- (exp l) (/ 1 (exp l))))) (* -1 (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U))) U)
(/ (+ (* -1 (* J (- (exp l) (/ 1 (exp l))))) (+ (* -1 (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))))) U)
(/ (+ (* -1 (* J (- (exp l) (/ 1 (exp l))))) (+ (* -1 (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (+ (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3)))))) U)
(* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))
(* -1 (/ (+ (* J (- (exp l) (/ 1 (exp l)))) (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)) (* J (- (exp l) (/ 1 (exp l))))) U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (+ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 4))) U)) U))) U)) (* J (- (exp l) (/ 1 (exp l))))) U))
1
(+ 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)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))
(+ 1/2 (* 1/2 (cos K)))

Outputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 J (.f64 (+.f64 l l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 J (.f64 l l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (+.f64 J J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
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K
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(/.f64 (-.f64 (neg.f64 (fma.f64 (.f64 J J) (/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64))) U) (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J (.f64 J J))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) (.f64 U U)))) (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) U)
(/ (+ (* -1 (* J (- (exp l) (/ 1 (exp l))))) (+ (* -1 (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) (+ (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (pow U 2))) (* -1 (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 4))) (pow U 3)))))) U)
(/.f64 (+.f64 (neg.f64 (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64))) U))) (neg.f64 (fma.f64 (.f64 J (.f64 J J)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) (.f64 U U)) (/.f64 (.f64 (pow.f64 J #s(literal 4 binary64)) (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64)))) (.f64 U (.f64 U U)))))) U)
(* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U))
(/.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (neg.f64 U))
(* -1 (/ (+ (* J (- (exp l) (/ 1 (exp l)))) (/ (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2))) U)) U))
(/.f64 (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J J)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64))) U)) (neg.f64 U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) U))) U)) (* J (- (exp l) (/ 1 (exp l))))) U))
(/.f64 (-.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (/.f64 (neg.f64 (fma.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J (*.f64 J J))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64))) U))) U)) (neg.f64 U))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow J 2) (* (cos (* 1/2 K)) (pow (- (exp l) (/ 1 (exp l))) 2)))) (* -1 (/ (+ (* (pow J 3) (* (pow (cos (* 1/2 K)) 2) (pow (- (exp l) (/ 1 (exp l))) 3))) (/ (* (pow J 4) (* (pow (cos (* 1/2 K)) 3) (pow (- (exp l) (/ 1 (exp l))) 4))) U)) U))) U)) (* J (- (exp l) (/ 1 (exp l))))) U))
(/.f64 (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 (neg.f64 (fma.f64 (.f64 J J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 2 binary64))) (/.f64 (fma.f64 (pow.f64 J #s(literal 4 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 4 binary64))) U) (.f64 (.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J (.f64 J J))) (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3 binary64)))) U))) (neg.f64 U))) (neg.f64 U))
1
#s(literal 1 binary64)
(+ 1 (* -1/4 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/48 (pow K 2)) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/48 (* -1/1440 (pow K 2)))) 1/4)))
(fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/1440 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))
(+ 1/2 (* 1/2 (cos K)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 K) #s(literal 1/2 binary64))

Samples

23.1s	43 468×	1	valid
21.1s	143 475×	0	valid
3.5s	4 968×	2	valid
1.4s	6 497×	0	exit
911.0ms	2 932×	1	exit
16.0ms	8×	2	exit

Compiler

Compiled 6 965 168 to 3 845 600 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.6s

ival-exp: 12.2s (29.3% of total)

ival-mult: 8.4s (20.2% of total)

ival-cos: 7.5s (18.1% of total)

ival-neg: 2.7s (6.6% of total)

ival-add: 2.6s (6.2% of total)

ival-div: 1.8s (4.4% of total)

adjust: 1.7s (4.2% of total)

const: 1.1s (2.7% of total)

ival-sub: 1.1s (2.6% of total)

ival-pow: 997.0ms (2.4% of total)

ival-pow2: 850.0ms (2% of total)

ival-true: 201.0ms (0.5% of total)

exact: 166.0ms (0.4% of total)

ival-assert: 100.0ms (0.2% of total)

ival-pi: 71.0ms (0.2% of total)

ival-cosh: 33.0ms (0.1% of total)

ival-sinh: 12.0ms (0% of total)

rewrite361.0ms (0.2%)

Memory

36.3MiB live, 549.5MiB allocated

Rules

6 882×	`lower-*.f32`
6 852×	`lower-*.f64`
5 330×	`lower-fma.f32`
5 316×	`lower-fma.f64`
3 588×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	363
0	104	297
1	423	289
2	3217	289
0	10680	288

Stop Event

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

Counts

25 → 789

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(exp.f64 l)
(fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
(.f64 #s(literal 2 binary64) (.f64 K #s(literal 1/2 binary64)))
(.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (+.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 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
(.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U)))
(+.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))))))

Outputs
(+.f64 U (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)))
(+.f64 (/.f64 (neg.f64 (.f64 U U)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)))
(+.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)
(+.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) (neg.f64 (neg.f64 U)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) (.f64 #s(literal 1 binary64) U))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (/.f64 (neg.f64 (.f64 U U)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l))) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)))) (/.f64 (.f64 U (.f64 U U)) (fma.f64 U (-.f64 U (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l))) (pow.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 6 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U) #s(literal -3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (neg.f64 (.f64 U U)))) (pow.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U) #s(literal 2 binary64))))) (/.f64 (neg.f64 (pow.f64 (/.f64 (.f64 U U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U) #s(literal -2 binary64)) (/.f64 (-.f64 (.f64 (.f64 U U) (.f64 U U)) (.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (neg.f64 (.f64 U U)))) (pow.f64 (-.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U) #s(literal 2 binary64))))))
(+.f64 (-.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 0 binary64)) U)
(-.f64 U (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(-.f64 U (.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64))) (.f64 (sinh.f64 l) (+.f64 J J))))
(-.f64 U (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) J))
(-.f64 U (.f64 (neg.f64 J) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))))
(-.f64 U (.f64 (neg.f64 (.f64 (sinh.f64 l) (+.f64 J J))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(-.f64 (/.f64 (neg.f64 (.f64 U U)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (.f64 (neg.f64 (.f64 (sinh.f64 l) (+.f64 J J))) (.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (/.f64 (.f64 (sinh.f64 l) (+.f64 J J)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)))))
(-.f64 (/.f64 (neg.f64 (.f64 U U)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (.f64 (neg.f64 (.f64 (.f64 (sinh.f64 l) (+.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)))) (/.f64 (.f64 (sinh.f64 l) (+.f64 J J)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U))))
(-.f64 (/.f64 (neg.f64 (.f64 U U)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (.f64 (neg.f64 (/.f64 (.f64 (sinh.f64 l) (+.f64 J J)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U))) (.f64 (.f64 (sinh.f64 l) (+.f64 J J)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)))))
(-.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) (neg.f64 U))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (/.f64 (.f64 U U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (.f64 (neg.f64 U) (/.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) (.f64 (.f64 U U) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (neg.f64 (.f64 U U))) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U))) (/.f64 (pow.f64 (/.f64 (neg.f64 (.f64 U U)) (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (neg.f64 (.f64 U U))) (-.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U)
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) (neg.f64 (neg.f64 U)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) (.f64 #s(literal 1 binary64) U))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) U)
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(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (/.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64))
(fma.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))))))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 K (PI.f64)) (+.f64 K (PI.f64))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 K #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 K #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (fma.f64 K #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 K #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 K #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))) (cos.f64 (+.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 K #s(literal 1/2 binary64)))) (sin.f64 (+.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 K #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 K #s(literal -1/2 binary64)))) (sin.f64 (+.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))) (.f64 K #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fabs.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (fabs.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fabs.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))))))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (.f64 K #s(literal -1/2 binary64)))) (cos.f64 (.f64 K #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (cos.f64 (/.f64 (-.f64 (+.f64 K (PI.f64)) (+.f64 K (PI.f64))) #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 2 binary64) (fma.f64 K #s(literal 1/2 binary64) (.f64 (PI.f64) #s(literal 1/2 binary64))))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (+.f64 (cos.f64 (fma.f64 K #s(literal -1/2 binary64) (.f64 K #s(literal 1/2 binary64)))) (cos.f64 (.f64 K #s(literal 1 binary64))))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (fabs.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (fabs.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))))))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)))))))
(/.f64 (fabs.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))) #s(literal 1/4 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (fabs.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))))) (pow.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 4 binary64)))
(pow.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))))) #s(literal -1 binary64))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64)))))
(.f64 (+.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(.f64 (fabs.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (fabs.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64))) (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64))))
(.f64 (fabs.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fabs.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) (-.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))))
(.f64 (fabs.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (.f64 K #s(literal 1 binary64))))))))) (fabs.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1 binary64))) #s(literal -1/2 binary64))))))
(.f64 (fabs.f64 (+.f64 (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 (neg.f64 (fabs.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (neg.f64 (fabs.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64)))) (neg.f64 (cos.f64 (fma.f64 K #s(literal 1/2 binary64) (PI.f64)))))

eval295.0ms (0.2%)

Memory: 20.5MiB live, 561.9MiB allocated
Compiler: Compiled 87 960 to 4 247 computations (95.2% saved)

prune291.0ms (0.2%)

Memory

-22.9MiB live, 582.1MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 875	23	1 898
Fresh	9	2	11
Picked	4	1	5
Done	0	0	0
Total	1 888	26	1 914

Accuracy

100.0%

Counts

1 914 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	33.7%	(fma.f64 (.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (pow.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))) (/.f64 (.f64 U (neg.f64 U)) (fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (neg.f64 U))))
	74.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
▶	92.8%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	92.8%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U)
▶	94.7%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	31.4%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) U) (-.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) (sinh.f64 l)) #s(literal 2 binary64)) (*.f64 U U))))
	38.1%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (.f64 l #s(literal -2 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	82.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (+.f64 J J) (sinh.f64 l) U))
	63.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (+.f64 J J)) l U))
✓	63.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l (+.f64 J J)) U))
	48.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l (+.f64 J J)) U))
	49.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (*.f64 l (+.f64 J J)) U))
	52.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 l (+.f64 J J)) U))
	54.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) #s(literal 1 binary64)) (*.f64 l (+.f64 J J)) U))
	83.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
▶	57.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
▶	54.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U))
	78.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
▶	77.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
	74.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
	46.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 l (+.f64 J J)) (.f64 l (+.f64 J J))) (neg.f64 (.f64 U U))) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l (+.f64 J J)) (neg.f64 U))))
	46.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 l (+.f64 J J)) (neg.f64 U)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 K #s(literal 1 binary64))) #s(literal 1/2 binary64)) (.f64 (.f64 l (+.f64 J J)) (.f64 l (+.f64 J J))) (neg.f64 (*.f64 U U))))))
	48.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* l (+ J J))) U) (+.f64 U (fma.f64 l (+.f64 J J) (.f64 #s(literal -1/4 binary64) (.f64 (.f64 J (.f64 K K)) l))))))
	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* l (+ J J))) U) (.f64 J (.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
	75.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (fma.f64 (.f64 l l) (fma.f64 #s(literal 1/60 binary64) (.f64 J (.f64 l l)) (.f64 J #s(literal 1/3 binary64))) (+.f64 J J)) U)))
	70.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l)) (+.f64 J J)) U)))

Compiler

Compiled 1 256 to 690 computations (45.1% saved)

simplify3.0s (2%)

Memory

105.9MiB live, 5 537.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
cost-diff	128	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
cost-diff	0	#s(approx (exp l) #s(literal 1 binary64))
cost-diff	0	(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
cost-diff	0	(fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
cost-diff	0	(.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
cost-diff	0	(+.f64 l l)
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (+.f64 l l))
cost-diff	0	(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U))
cost-diff	0	(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
cost-diff	0	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)

Rules

7 418×	`lower-fma.f32`
7 394×	`lower-fma.f64`
5 078×	`lower-*.f32`
5 062×	`lower-*.f64`
1 656×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	520
0	93	520
1	216	515
2	815	515
3	4180	497
0	8163	489

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 l l)
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U))
(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U)
J
#s(approx (- (exp l) (exp (neg l))) (+.f64 l l))
(+.f64 l l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
J
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 l l)
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
(fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)
J
(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
#s(approx (exp l) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
U
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)))
#s(literal 2 binary64)
#s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))
(fma.f64 l (.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)
l
(.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(*.f64 l l)
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
U

Outputs
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 l l)
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (* 2 (sinh l)) (+.f64 l l)) U))
(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U)
(fma.f64 J #s(approx (* 2 (sinh l)) (+.f64 l l)) U)
J
#s(approx (- (exp l) (exp (neg l))) (+.f64 l l))
#s(approx (* 2 (sinh l)) (+.f64 l l))
(+.f64 l l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
J
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 l l)
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
(fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)
J
(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
#s(approx (exp l) #s(literal 1 binary64))
#s(literal 1 binary64)
(exp.f64 (neg.f64 l))
(neg.f64 l)
l
U
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)) (+.f64 J J)) U)
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))))
(.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)))
(.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))
#s(literal 2 binary64)
#s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))
#s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))
(fma.f64 l (.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)
(fma.f64 (fma.f64 l (.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)
l
(.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
(*.f64 l l)
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
J
U

Samples

1.2s	18 774×	0	valid
80.0ms	230×	1	valid
22.0ms	59×	2	valid
9.0ms	114×	1	exit

Compiler

Compiled 213 855 to 161 538 computations (24.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 826.0ms

ival-mult: 273.0ms (33% of total)

const: 239.0ms (28.9% of total)

ival-add: 123.0ms (14.9% of total)

ival-cos: 72.0ms (8.7% of total)

ival-cosh: 20.0ms (2.4% of total)

ival-sub: 20.0ms (2.4% of total)

ival-neg: 17.0ms (2.1% of total)

ival-true: 17.0ms (2.1% of total)

adjust: 13.0ms (1.6% of total)

ival-assert: 9.0ms (1.1% of total)

ival-sinh: 8.0ms (1% of total)

exact: 7.0ms (0.8% of total)

ival-expm1: 6.0ms (0.7% of total)

ival-pi: 2.0ms (0.2% of total)

localize250.0ms (0.2%)

Memory

6.1MiB live, 440.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
accuracy	0.1015625	(.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
accuracy	0.2824768524957217	(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
accuracy	5.891738448208647	#s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))
accuracy	0.00390625	(fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)
accuracy	11.32163478148939	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
accuracy	29.101231292129427	(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
accuracy	31.901348948266833	#s(approx (exp l) #s(literal 1 binary64))
accuracy	0.04296875	(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.27957753471369373	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
accuracy	5.889496593706718	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
accuracy	11.32163478148939	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
accuracy	0	(+.f64 l l)
accuracy	0.00390625	(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U)
accuracy	11.32163478148939	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U))
accuracy	30.731655510504478	#s(approx (- (exp l) (exp (neg l))) (+.f64 l l))
accuracy	0.037441259768442016	(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
accuracy	0.078125	(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
accuracy	0.48487479814957235	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
accuracy	4.749010972824444	#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))

Samples

91.0ms	92×	1	valid
56.0ms	135×	0	valid
34.0ms	29×	2	valid

Compiler

Compiled 340 to 50 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 37.0ms (26.2% of total)

ival-exp: 25.0ms (17.7% of total)

const: 20.0ms (14.2% of total)

ival-add: 19.0ms (13.5% of total)

adjust: 16.0ms (11.3% of total)

ival-cos: 13.0ms (9.2% of total)

ival-sub: 5.0ms (3.5% of total)

ival-div: 2.0ms (1.4% of total)

ival-sinh: 2.0ms (1.4% of total)

ival-neg: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series39.0ms (0%)

Memory

-3.9MiB live, 72.6MiB allocated

Counts

26 → 588

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())
#s(alt (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (patch (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (patch #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U)) #<representation binary64>) () ())
#s(alt (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U) (patch (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U) #<representation binary64>) () ())
#s(alt #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) (patch #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) #<representation binary64>) () ())
#s(alt (+.f64 l l) (patch (+.f64 l l) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)) (patch #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (patch (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) #<representation binary64>) () ())
#s(alt #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (patch #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (patch (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)) (patch #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)) #<representation binary64>) () ())
#s(alt (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U) (patch (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) (patch (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) #<representation binary64>) () ())
#s(alt #s(approx (exp l) #s(literal 1 binary64)) (patch #s(approx (exp l) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (patch (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (patch (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) #<representation binary64>) () ())
#s(alt #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)) (patch #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())

Outputs
#s(alt U (taylor 0 l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
#s(alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U) (patch (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U) #<representation binary64>) () ())) ())
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#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 1/3 (pow l 2))) (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow l 4)) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/60 (pow l 4)) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (patch (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow l 2))) (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow l 2))) (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/120 (pow l 2))) (taylor 0 l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow l 2)) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow l 2)) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) (patch (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow l 2)) (taylor 0 l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2)))) (taylor 0 l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2)))) (taylor 0 l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2)))) (taylor 0 l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow l 4)) (taylor inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/120 (pow l 4)) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2))))) (taylor -inf l) (#s(alt (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) (patch (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())

Calls

147 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(+ (* (* l l) 1/60) 1/3)
0.0ms	l	@	inf	(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
0.0ms	l	@	inf	(+ l l)
0.0ms	l	@	0	(+ l l)
0.0ms	l	@	inf	(* (* l l) (+ (* (* l l) 1/120) 1/6))

simplify43.8s (29.2%)

Memory

-9.5MiB live, 68 238.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 668×	`lower-fma.f64`
10 668×	`lower-fma.f32`
5 608×	`lower-*.f64`
5 608×	`lower-*.f32`
2 666×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	301	7425
1	1204	7365
2	4341	7106
0	8247	6666

Stop Event

1×	iter limit
1×	node limit

Counts

588 → 555

Calls

Call 1

Inputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* l (cos (* 1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
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(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 2 (* l (cos (* 1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* 1/2 K)))) (* 1/60 (cos (* 1/2 K)))))))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
(- (exp l) (/ 1 (exp l)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* 1/60 (pow l 4))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
1/6
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(+ 1/6 (* 1/120 (pow l 2)))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* 1/120 (pow l 2))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* 1/6 (pow l 2))
(* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))
(* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))
(* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))
(* 1/120 (pow l 4))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* 1/120 (pow l 4))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))

Outputs
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (+.f64 l l)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 l (fma.f64 (.f64 l l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (+.f64 J J))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U)
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 K (.f64 K (.f64 J (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))))) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K K)) J) U) (.f64 (.f64 K K) (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (.f64 K K))) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 J (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(fma.f64 U (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 U (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 U (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(fma.f64 U (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) U)
(* 2 (* l (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (+.f64 l l))
(* l (+ (* 1/3 (* (pow l 2) (cos (* 1/2 K)))) (* 2 (cos (* 1/2 K)))))
(.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(* l (+ (* 2 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* 1/2 K)))) (* 1/3 (cos (* 1/2 K)))))))
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1
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(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(.f64 l (.f64 l #s(literal 1/2520 binary64)))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(.f64 l (.f64 l #s(literal 1/2520 binary64)))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))
(fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/2520 (pow l 6))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 6 binary64)))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 6 binary64)))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 l l))) (*.f64 l l))) (pow.f64 l #s(literal 6 binary64)))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(.f64 (pow.f64 l #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/60 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 l l))) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))))))
(* 1/2520 (pow l 6))
(*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 6 binary64)))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (.f64 l l))) (pow.f64 l #s(literal 6 binary64)))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 (-.f64 #s(literal 1/60 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 l l))) (*.f64 l l))) (pow.f64 l #s(literal 6 binary64)))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(.f64 (pow.f64 l #s(literal 6 binary64)) (+.f64 #s(literal 1/2520 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1/60 binary64) (/.f64 #s(literal -1/3 binary64) (.f64 l l))) (*.f64 l l)) (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64))))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* 1/60 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* 1/60 (pow l 4))
(.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/60 binary64)))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/60 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 l l))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 l l))))
(* 1/60 (pow l 4))
(.f64 (.f64 l l) (.f64 (.f64 l l) #s(literal 1/60 binary64)))
(* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/60 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 l l))))
(* (pow l 4) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/60 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))) (.f64 l l))))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/120 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(+ 1/6 (* 1/120 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/120 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/120 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* (pow l 2) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(* 1/6 (pow l 2))
(.f64 l (.f64 l #s(literal 1/6 binary64)))
(* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))
(.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))
(.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))
(.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))
(* 1/120 (pow l 4))
(.f64 l (.f64 l (.f64 (.f64 l l) #s(literal 1/120 binary64))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 l l))))
(* 1/120 (pow l 4))
(.f64 l (.f64 l (.f64 (.f64 l l) #s(literal 1/120 binary64))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/120 (* 1/6 (/ 1 (pow l 2)))))
(.f64 (.f64 (.f64 l l) (.f64 l l)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 l l))))

Samples

15.3s	122 945×	0	valid
8.7s	26 631×	1	valid
2.5s	4 845×	2	valid
117.0ms	919×	0	exit
62.0ms	664×	1	exit

Compiler

Compiled 2 532 704 to 2 009 731 computations (20.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.6s

ival-exp: 6.5s (31.3% of total)

ival-mult: 4.5s (21.7% of total)

ival-cos: 3.3s (16.1% of total)

ival-neg: 1.8s (8.5% of total)

ival-add: 1.3s (6.2% of total)

const: 1.1s (5.5% of total)

adjust: 757.0ms (3.7% of total)

ival-sub: 571.0ms (2.8% of total)

ival-div: 397.0ms (1.9% of total)

ival-true: 150.0ms (0.7% of total)

ival-pow: 146.0ms (0.7% of total)

ival-assert: 76.0ms (0.4% of total)

exact: 66.0ms (0.3% of total)

ival-cosh: 34.0ms (0.2% of total)

ival-sinh: 11.0ms (0.1% of total)

rewrite369.0ms (0.2%)

Memory

42.7MiB live, 576.3MiB allocated

Rules

6 874×	`lower-fma.f32`
6 850×	`lower-fma.f64`
6 346×	`lower-*.f32`
6 330×	`lower-*.f64`
2 272×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	438
0	93	420
1	407	416
2	3481	416
0	9524	409

Stop Event

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

Counts

26 → 451

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
#s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U))
(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (+.f64 l l)) U)
#s(approx (- (exp l) (exp (neg l))) (+.f64 l l))
(+.f64 l l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
(fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)
(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
#s(approx (exp l) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
(.f64 (.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l)))
#s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))
(.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)))

Outputs
(+.f64 U (.f64 (.f64 J #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 J #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 J #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 J #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (/.f64 (.f64 U (.f64 U U)) (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 J #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(-.f64 U (.f64 (neg.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
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eval174.0ms (0.1%)

Memory: -2.1MiB live, 326.6MiB allocated
Compiler: Compiled 27 862 to 2 078 computations (92.5% saved)

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Memory: -4.4MiB live, 33.9MiB allocated

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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