Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

sample2.4s (23.9%)

Memory

48.7MiB live, 2 602.2MiB allocated

Samples

1.1s	6 393×	0	valid
906.0ms	1 863×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.6s

ival-exp: 571.0ms (35% of total)

ival-cos: 366.0ms (22.4% of total)

ival-mult: 304.0ms (18.6% of total)

ival-div: 136.0ms (8.3% of total)

adjust: 88.0ms (5.4% of total)

ival-sub: 59.0ms (3.6% of total)

ival-add: 55.0ms (3.4% of total)

ival-neg: 37.0ms (2.3% of total)

ival-true: 7.0ms (0.4% of total)

exact: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain274.0ms (2.7%)

Memory

5.0MiB live, 410.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	0	-	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	-	`K`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	135	(6.322898763244336e-41 -4.1262726007320756e+241 -1.4736621206546837e+238 1.459044830727883e-269)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
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	-	-	`J`
0	0	-	-	`U`
0	1	(-1.50298393666487e+37 113.2301733485463 6.196425610673756e-103 3.7390467513920694e-224)	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`l`
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	135
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	45
`exp.f64`	`(exp.f64 (neg.f64 l))`	sensitivity	1

Confusion

	Predicted +	Predicted -
+	40	0
-	113	103

Precision

0.26143790849673204

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	113	0	103

Precision?

0.26143790849673204

Recall?

1.0

Freqs

test

number	freq
0	103
1	125
2	28

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

73.0ms	198×	1	valid
35.0ms	268×	0	valid
28.0ms	46×	2	valid

Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-exp: 51.0ms (49.4% of total)

ival-cos: 19.0ms (18.4% of total)

ival-mult: 10.0ms (9.7% of total)

adjust: 7.0ms (6.8% of total)

ival-sub: 4.0ms (3.9% of total)

ival-div: 4.0ms (3.9% of total)

ival-add: 4.0ms (3.9% of total)

ival-neg: 2.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

preprocess94.0ms (0.9%)

Memory

14.0MiB live, 91.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	216
1	162	211
2	457	210
3	1541	210
4	5276	210
0	14	15
0	23	15
1	36	15
2	62	15
3	125	15
4	283	15
5	510	15
6	699	15
7	1186	15
8	1729	15
9	1919	15
10	2004	15
11	2015	15
12	2015	15
0	2015	14

Stop Event

1×	iter limit
1×	saturated
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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)

Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify53.0ms (0.5%)

Memory

-1.4MiB live, 36.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	23	61
1	36	61
2	62	61
3	125	61
4	283	61
5	510	61
6	699	61
7	1186	61
8	1729	61
9	1919	61
10	2004	61
11	2015	61
12	2015	61
0	2015	60

Stop Event

1×	iter limit
1×	saturated
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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
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

localize93.0ms (0.9%)

Memory

1.0MiB live, 158.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 l)
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.078125	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	29.528092346869983	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

52.0ms	99×	1	valid
18.0ms	134×	0	valid
12.0ms	23×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-exp: 24.0ms (41.6% of total)

ival-mult: 12.0ms (20.8% of total)

ival-cos: 9.0ms (15.6% of total)

adjust: 4.0ms (6.9% of total)

ival-sub: 3.0ms (5.2% of total)

ival-div: 2.0ms (3.5% of total)

ival-add: 2.0ms (3.5% of total)

ival-neg: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory

-13.9MiB live, 24.3MiB allocated

Counts

6 → 44

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

Outputs
U
(+ U (* 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 (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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))))))))))
(* 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)))))))
(* 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
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (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)))))))))))
(+ (* -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))))))))))
(+ 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))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	K	@	inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
3.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	K	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	l	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))

simplify120.0ms (1.2%)

Memory

8.5MiB live, 120.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	769
1	491	769
2	1550	659
3	3733	659
0	8314	602

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

Inputs
U
(+ U (* 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 (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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))))))))))
(* 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)))))))
(* 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
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (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)))))))))))
(+ (* -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))))))))))
(+ 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))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))

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

rewrite165.0ms (1.6%)

Memory

-5.4MiB live, 171.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	23	40
1	72	40
2	433	40
0	4500	39

Stop Event

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

Counts

6 → 270

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

Outputs
(.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (fma.f64 U (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (.f64 (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)) #s(literal -1 binary64)) (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(.f64 (neg.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(.f64 (fma.f64 (neg.f64 U) U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U))))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (.f64 U U)) (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64))))
(.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (pow.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))) (fma.f64 U U (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
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(*.f64 (exp.f64 l) #s(literal 1 binary64))
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(exp.f64 l)

eval70.0ms (0.7%)

Memory: -9.8MiB live, 70.7MiB allocated
Compiler: Compiled 9 884 to 1 222 computations (87.6% saved)

prune10.0ms (0.1%)

Memory

28.7MiB live, 28.7MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	296	9	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	297	9	306

Accuracy

100.0%

Counts

306 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
▶	99.9%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
▶	51.1%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	95.4%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	95.0%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	90.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	73.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
▶	67.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
	88.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Compiler

Compiled 520 to 360 computations (30.8% saved)

simplify109.0ms (1.1%)

Memory

13.5MiB live, 121.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	1	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	2	(.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
cost-diff	2	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))))
cost-diff	8	(/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	1	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	1	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) J)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
cost-diff	0	(*.f64 K #s(literal -1/2 binary64))
cost-diff	0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	518
0	99	506
1	184	470
2	442	468
3	1816	452
4	4510	452
5	5495	452
0	8465	448

Stop Event

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

Calls

Call 1

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

Outputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
K
#s(literal -1/2 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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 (*.f64 #s(literal 2 binary64) l) J) U))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(.f64 (.f64 #s(literal 2 binary64) l) J)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l)) J))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
(.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#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
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
(.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l 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
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (.f64 J #s(literal 2 binary64)) U)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))))
(.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))
(*.f64 (cosh.f64 l) #s(literal 2 binary64))
(cosh.f64 l)
l
#s(literal 2 binary64)
(.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 4 binary64) (cosh.f64 l)) (*.f64 J (sinh.f64 l)))
(.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))
(.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (sinh.f64 l) J)
(*.f64 J (sinh.f64 l))
(sinh.f64 l)
J
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U

localize655.0ms (6.4%)

Memory

-24.9MiB live, 845.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)))
accuracy	0.078125	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.6054659979416279	(/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))
accuracy	0.6166190917673424	(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))))
accuracy	0.00390625	(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)
accuracy	0.01171875	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
accuracy	0.078125	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.7137890961714335	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
accuracy	0.00390625	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	0.00390625	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy	0.078125	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.769005892826594	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.04296875	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy	0.8305893961025789	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
accuracy	0.0	(sinh.f64 l)
accuracy	0.0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.0234375	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.06640625	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))

Samples

436.0ms	123×	5	exit
117.0ms	99×	1	valid
32.0ms	23×	2	valid
5.0ms	11×	0	valid

Compiler

Compiled 409 to 55 computations (86.6% saved)

Precisions

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

ival-cos: 197.0ms (39.2% of total)

ival-mult: 110.0ms (21.9% of total)

adjust: 85.0ms (16.9% of total)

ival-exp: 27.0ms (5.4% of total)

ival-add: 27.0ms (5.4% of total)

const: 16.0ms (3.2% of total)

ival-div: 12.0ms (2.4% of total)

ival-sub: 11.0ms (2.2% of total)

ival-cosh: 10.0ms (2% of total)

ival-sinh: 6.0ms (1.2% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series75.0ms (0.7%)

Memory

29.0MiB live, 104.5MiB allocated

Counts

28 → 118

Calls

Call 1

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

Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(/ 1 (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (* (+ (exp l) (/ 1 (exp l))) (- (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)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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)))))))))
(+ 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)))))))))
(* 2 l)
(* 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))))))))))
(* 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)))))))
(* 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))))))))
(/ 1/2 (* J l))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(* 4 (* J l))
(* l (+ (* 8/3 (* J (pow l 2))) (* 4 J)))
(* l (+ (* 4 J) (* (pow l 2) (+ (* 8/15 (* J (pow l 2))) (* 8/3 J)))))
(* l (+ (* 4 J) (* (pow l 2) (+ (* 8/3 J) (* (pow l 2) (+ (* 16/315 (* J (pow l 2))) (* 8/15 J)))))))
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))))))))
2
(+ 2 (* 1/3 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (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))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(+ 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)))))))))))
(- (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)))
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)))
(* -1/2 K)
(+ 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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J 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))))))))))
(* 1/2 K)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	l	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (* (* (cosh l) 2) (* (* (sinh l) J) 2)) (+ (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))) U) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* l l) 1/3) 2) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))))
10.0ms	J	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (* (* (cosh l) 2) (* (* (sinh l) J) 2)) (+ (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))) U) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* l l) 1/3) 2) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))))
9.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (* (* (cosh l) 2) (* (* (sinh l) J) 2)) (+ (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))) U) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* l l) 1/3) 2) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))))
8.0ms	l	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (* (* (cosh l) 2) (* (* (sinh l) J) 2)) (+ (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))) U) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* l l) 1/3) 2) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))))
6.0ms	J	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (* (* (cosh l) 2) (* (* (sinh l) J) 2)) (+ (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))) U) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* (+ (* (* l l) 1/3) 2) l) (+ (* (* l l) 1/3) 2) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (* (/ 1 (/ (* (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2)))) (cos (/ K 2))))

simplify219.0ms (2.1%)

Memory

-24.8MiB live, 218.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	2088
1	1357	2052
2	4048	1816
0	8086	1683

Stop Event

1×	iter limit
1×	node limit

Counts

118 → 116

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(/ 1 (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (* (+ (exp l) (/ 1 (exp l))) (- (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)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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)))))))))
(+ 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)))))))))
(* 2 l)
(* 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))))))))))
(* 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)))))))
(* 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))))))))
(/ 1/2 (* J l))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(* 4 (* J l))
(* l (+ (* 8/3 (* J (pow l 2))) (* 4 J)))
(* l (+ (* 4 J) (* (pow l 2) (+ (* 8/15 (* J (pow l 2))) (* 8/3 J)))))
(* l (+ (* 4 J) (* (pow l 2) (+ (* 8/3 J) (* (pow l 2) (+ (* 16/315 (* J (pow l 2))) (* 8/15 J)))))))
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))))))))
2
(+ 2 (* 1/3 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (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))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(+ 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)))))))))))
(- (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)))
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)))
(* -1/2 K)
(+ 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 (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J 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))))))))))
(* 1/2 K)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))

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

rewrite235.0ms (2.3%)

Memory

38.7MiB live, 270.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	415
0	99	397
1	340	351
2	2285	349
0	8704	345

Stop Event

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

Counts

28 → 756

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U)) (pow.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 J U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)))
(/.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (.f64 J U)))))
(/.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (.f64 U U))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))))
(fma.f64 (.f64 J (.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) #s(literal 2 binary64) U)
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (*.f64 J #s(literal 2 binary64)) U)
(fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) J) U)
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) J U)
(fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) U)
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (-.f64 U (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (neg.f64 U))))
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(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (.f64 (.f64 (.f64 #s(literal 4 binary64) (*.f64 J (sinh.f64 l))) (cosh.f64 l)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J)
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))))
(.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (cosh.f64 l) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (/.f64 #s(literal 1/2 binary64) (.f64 J (sinh.f64 l)))))))
(.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (neg.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal -1 binary64)))))
(.f64 (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(.f64 (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(.f64 (cosh.f64 l) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (cosh.f64 l) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J))
(.f64 J (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 (pow.f64 (.f64 J (sinh.f64 l)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (pow.f64 (.f64 J (sinh.f64 l)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (cosh.f64 l) #s(literal 2 binary64)))) (neg.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))))
(/.f64 (neg.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cosh.f64 l))) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 #s(literal 4 binary64) (.f64 J (sinh.f64 l))))))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (.f64 J (sinh.f64 l))))
(/.f64 (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (.f64 J (sinh.f64 l))))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))
(/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal -1 binary64)))
(/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 (cosh.f64 l) #s(literal 2 binary64))) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))))
(/.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (cosh.f64 l)) (/.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 #s(literal 4 binary64) (.f64 J (sinh.f64 l)))))
(/.f64 (.f64 #s(literal -1 binary64) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J (sinh.f64 l)))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J (sinh.f64 l)))))
(/.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal -2 binary64)))) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))

eval184.0ms (1.8%)

Memory: -19.7MiB live, 197.5MiB allocated
Compiler: Compiled 28 426 to 3 773 computations (86.7% saved)

prune37.0ms (0.4%)

Memory

6.8MiB live, 43.7MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	877	10	887
Fresh	3	1	4
Picked	5	0	5
Done	0	0	0
Total	885	11	896

Accuracy

100.0%

Counts

896 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
	63.5%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	78.8%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	67.6%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
▶	99.9%	(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))) U)
	67.6%	(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ ( (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/.f64 #s(literal 1/2 binary64) (*.f64 J l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	67.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
▶	37.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
	46.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
▶	54.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
▶	33.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 680 to 492 computations (27.6% saved)

simplify130.0ms (1.3%)

Memory

6.7MiB live, 80.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff	0	(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
cost-diff	0	(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
cost-diff	0	(.f64 (.f64 J l) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
cost-diff	0	(.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
cost-diff	4	(fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff	0	(*.f64 #s(literal 2 binary64) J)
cost-diff	0	(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff	0	(/.f64 K #s(literal -2 binary64))
cost-diff	0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
cost-diff	0	(/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))
cost-diff	1	(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))) U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	408
0	77	408
1	147	402
2	331	402
3	782	402
4	1685	394
5	2735	394
6	5283	394
0	8195	377

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))) U)
(/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))
#s(literal 1/2 binary64)
(*.f64 J (sinh.f64 l))
J
(sinh.f64 l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
(*.f64 J l)
J
l
(fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))
(*.f64 K K)
K
#s(literal 1/192 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J l) #s(literal 2 binary64))
(*.f64 J l)
J
l
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U

Outputs
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))) U)
(fma.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) J) U)
(/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))
(.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) J))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
(/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 l) J))
#s(literal 1/2 binary64)
(*.f64 J (sinh.f64 l))
(*.f64 (sinh.f64 l) J)
J
(sinh.f64 l)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U))
(fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) J) l U)
(.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) J) l)
(*.f64 J l)
(*.f64 l J)
J
l
(fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
(*.f64 K K)
K
#s(literal 1/192 binary64)
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 2 binary64))
(.f64 (.f64 J l) #s(literal 2 binary64))
(.f64 (.f64 l J) #s(literal 2 binary64))
(*.f64 J l)
(*.f64 l J)
J
l
#s(literal 2 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))) U))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U)
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(*.f64 J (cos.f64 (/.f64 K #s(literal -2 binary64))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
K
#s(literal -2 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U

localize570.0ms (5.6%)

Memory

6.2MiB live, 437.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy	0.02734375	(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U)
accuracy	0.05078125	(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
accuracy	0.8305893961025789	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
accuracy	0.015625	(.f64 (.f64 J l) #s(literal 2 binary64))
accuracy	0.0859375	(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	0.8305893961025789	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	21.934926226758797	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	0.28839098177788325	(fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy	0.8305893961025789	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
accuracy	5.976696068861333	(.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
accuracy	15.838248502552515	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy	0.0	(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
accuracy	0.0	(*.f64 #s(literal 2 binary64) J)
accuracy	0.8305893961025789	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy	6.088998132259088	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy	0.0	(sinh.f64 l)
accuracy	0.0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy	0.109375	(/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))
accuracy	0.6248220416561285	(/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))

Samples

419.0ms	123×	5	exit
80.0ms	60×	1	valid
27.0ms	73×	0	valid

Compiler

Compiled 289 to 48 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

ival-cos: 204.0ms (49.4% of total)

ival-mult: 64.0ms (15.5% of total)

adjust: 51.0ms (12.4% of total)

ival-exp: 38.0ms (9.2% of total)

ival-add: 18.0ms (4.4% of total)

ival-div: 13.0ms (3.2% of total)

const: 12.0ms (2.9% of total)

ival-sinh: 6.0ms (1.5% of total)

ival-sub: 4.0ms (1% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

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

series72.0ms (0.7%)

Memory

-31.1MiB live, 121.6MiB allocated

Counts

21 → 107

Calls

Call 1

Inputs
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))) U)
(/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))
(sinh.f64 l)

Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(/ 1 (* J (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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))))))))))
(+ 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 (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(/ 1/2 (* J l))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) 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))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U 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)))))))))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
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)))
(* -1/2 K)
(+ 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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
18.0ms	l	@	0	((+ (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) U) (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (/ 1/2 (* J (sinh l))) (sinh l))
9.0ms	J	@	0	((+ (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) U) (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (/ 1/2 (* J (sinh l))) (sinh l))
6.0ms	J	@	-inf	((+ (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) U) (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (/ 1/2 (* J (sinh l))) (sinh l))
6.0ms	l	@	-inf	((+ (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) U) (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (/ 1/2 (* J (sinh l))) (sinh l))
6.0ms	J	@	inf	((+ (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) U) (/ (cos (/ K -2)) (/ 1/2 (* J (sinh l)))) (cos (/ K -2)) (/ K -2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (/ 1/2 (* J (sinh l))) (sinh l))

simplify222.0ms (2.2%)

Memory

16.9MiB live, 245.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	1939
1	1232	1911
2	3850	1708
0	8157	1557

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 104

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(/ 1 (* J (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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))))))))))
(+ 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 (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(/ 1/2 (* J l))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) 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))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U 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)))))))))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* 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)))))))))
(+ (* 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))))))))))
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)))
(* -1/2 K)
(+ 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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))

Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) l) J)
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (cos (* -1/2 K)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
(/ 1 (* J (- (exp l) (/ 1 (exp l)))))
(/.f64 (/.f64 #s(literal 1 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(.f64 (fma.f64 l (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(.f64 (fma.f64 l (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l 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 (fma.f64 (.f64 (.f64 (.f64 l l) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) l U)
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* 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 (fma.f64 (.f64 (.f64 (.f64 l l) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) l)
(* 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 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) J (.f64 #s(literal 1/2520 binary64) (.f64 (.f64 l l) J)))))) l)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l 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 (fma.f64 (.f64 (.f64 (.f64 l l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) l U)
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(/ 1/2 (* J l))
(/.f64 #s(literal 1/2 binary64) (*.f64 l J))
(/ (+ (* -1/12 (/ (pow l 2) J)) (* 1/2 (/ 1 J))) l)
(/.f64 (fma.f64 (/.f64 (*.f64 l l) J) #s(literal -1/12 binary64) (/.f64 #s(literal 1/2 binary64) J)) l)
(/ (+ (* (pow l 2) (- (* 7/720 (/ (pow l 2) J)) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) J) (fma.f64 (.f64 #s(literal 7/720 binary64) l) l #s(literal -1/12 binary64))) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) J)) l)
(/ (+ (* (pow l 2) (- (* (pow l 2) (+ (* -31/30240 (/ (pow l 2) J)) (* 7/720 (/ 1 J)))) (* 1/12 (/ 1 J)))) (* 1/2 (/ 1 J))) l)
(/.f64 (fma.f64 (fma.f64 (/.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal -31/30240 binary64) l) l #s(literal 7/720 binary64)) (/.f64 #s(literal -1/12 binary64) J)) (*.f64 l l) (/.f64 #s(literal 1/2 binary64) J)) l)
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/6 binary64) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(.f64 (fma.f64 J (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(.f64 (fma.f64 J (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J 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)))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* 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 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* 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))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)))) (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(* -1/2 K)
(*.f64 #s(literal -1/2 binary64) K)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J 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 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)))) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 l (fma.f64 #s(literal 1/192 binary64) J (.f64 #s(literal -1/23040 binary64) (.f64 (.f64 K K) J)))) (fma.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))
(* -1/4 (* J l))
(.f64 #s(literal -1/4 binary64) (.f64 l J))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) l) J)
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 l (fma.f64 #s(literal 1/192 binary64) J (.f64 #s(literal -1/23040 binary64) (.f64 (.f64 K K) J)))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))
J
(+ J (* -1/8 (* J (pow K 2))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (.f64 J (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) J) K) K (fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) J))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* 1/192 (* J (* (pow K 4) l)))
(.f64 (.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) J) #s(literal 1/192 binary64))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(.f64 (.f64 (.f64 l J) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 K K)) #s(literal 1/192 binary64))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (fma.f64 (*.f64 l J) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)) (/.f64 U (pow.f64 K #s(literal 4 binary64))))) (pow.f64 K #s(literal 4 binary64)))
(* 1/192 (* J (* (pow K 2) l)))
(.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(.f64 (.f64 (.f64 l J) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 K K)) #s(literal 1/192 binary64))) (*.f64 K K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (.f64 l J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (.f64 l J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 l J) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))

rewrite158.0ms (1.6%)

Memory

-24.9MiB live, 255.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	335
0	77	327
1	270	321
2	1882	315
0	8903	304

Stop Event

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

Counts

21 → 380

Calls

Call 1

Inputs
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))) U)
(/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal -2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
(.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 J l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U)
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J)
(/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))
(sinh.f64 l)

Outputs
(.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (.f64 U U)) (pow.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -3 binary64)) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (fma.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))))))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)))) (neg.f64 (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -3 binary64)) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))) (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1 binary64) U)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (.f64 U U)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1 binary64) U)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (-.f64 (.f64 U U) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 1 binary64) U)) (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal -3 binary64)) (pow.f64 U #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))
(fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal -1 binary64)))) #s(literal 1/2 binary64) U)
(fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (.f64 (sinh.f64 l) J) #s(literal -1 binary64))) #s(literal 2 binary64) U)
(fma.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) J)) (sinh.f64 l) U)
(fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (.f64 (neg.f64 J) (sinh.f64 l)) #s(literal -1 binary64))) U)
(fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) (.f64 (neg.f64 J) (sinh.f64 l)) U)
(fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l)) J U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J) (sinh.f64 l) U)
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (*.f64 (sinh.f64 l) J) #s(literal 1 binary64)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 (sinh.f64 l) J) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)) #s(literal -1 binary64)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (pow.f64 (/.f64 #s(literal -1/2 binary64) (.f64 (sinh.f64 l) J)) #s(literal -1 binary64)) U)
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (.f64 (sinh.f64 l) J) #s(literal -1 binary64))) U)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 (pow.f64 (.f64 (sinh.f64 l) J) #s(literal -1 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -1 binary64)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 (.f64 (sinh.f64 l) J) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 (pow.f64 (.f64 (sinh.f64 l) J) #s(literal -1 binary64)))) U)
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (-.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal -2 binary64)) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(+.f64 U (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (sinh.f64 l) J) #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal -1 binary64))) #s(literal 2 binary64))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 #s(literal 1/2 binary64) J)) (sinh.f64 l))
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(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1/2 binary64)) (*.f64 (neg.f64 J) (sinh.f64 l)))
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l)) J)
(.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J) (sinh.f64 l))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 (.f64 (sinh.f64 l) J) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (sinh.f64 l) J))
(.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (pow.f64 (pow.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
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(.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal -1 binary64))))
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(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 (sinh.f64 l) J) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 J (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)))
(.f64 #s(literal -2 binary64) (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal -1 binary64)))))
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(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 (sinh.f64 l) J))) #s(literal -1/2 binary64))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 l) J)))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 (sinh.f64 l) J)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)))
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(fma.f64 (.f64 (.f64 l J) #s(literal 1/192 binary64)) (.f64 K K) (.f64 #s(literal -1/4 binary64) (*.f64 l J)))
(fma.f64 (.f64 (.f64 l J) (.f64 K K)) #s(literal 1/192 binary64) (.f64 #s(literal -1/4 binary64) (*.f64 l J)))
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(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) U)))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) U)))) (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 l J)) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) J U)
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64) U)
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) J U)
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 l J)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 l J) U)
(fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (.f64 #s(literal 2 binary64) l) (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 2 binary64) l) U)
(fma.f64 (.f64 l J) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 l (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 l J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 #s(literal 2 binary64) (.f64 l (.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 l (.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 J (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) U)
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) U)
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (*.f64 #s(literal 2 binary64) l) J) U)
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))) (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (-.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(+.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) U)
(+.f64 U (.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)
(.f64 (/.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l))) (/.f64 (pow.f64 J #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) J) #s(literal -1 binary64)) (pow.f64 (sinh.f64 l) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -1 binary64)) (pow.f64 J #s(literal -1 binary64)))
(*.f64 (pow.f64 (sinh.f64 l) #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) J))
(*.f64 (pow.f64 J #s(literal -1 binary64)) (pow.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 J #s(literal -1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (sinh.f64 l) J) #s(literal -1 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 J #s(literal -1 binary64)) (/.f64 (sinh.f64 l) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) J) (pow.f64 (sinh.f64 l) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (sinh.f64 l) J) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal -1/2 binary64) (pow.f64 (.f64 (neg.f64 J) (sinh.f64 l)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) J)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (sinh.f64 l) J) #s(literal -1 binary64)))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) (neg.f64 J))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) J))) (neg.f64 (neg.f64 (sinh.f64 l))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) J)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) J)) (neg.f64 (sinh.f64 l)))
(/.f64 (/.f64 #s(literal 1/2 binary64) J) (sinh.f64 l))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 J) (sinh.f64 l)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 J) (sinh.f64 l)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)))))
(/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 J) (sinh.f64 l))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 l) J))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (sinh.f64 l) J)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (cosh.f64 l) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sinh.f64 l) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 l) #s(literal 2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sinh.f64 l) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sinh.f64 l) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sinh.f64 l) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(sinh.f64 l)
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))

eval100.0ms (1%)

Memory: 25.2MiB live, 223.0MiB allocated
Compiler: Compiled 21 940 to 2 117 computations (90.4% saved)

prune86.0ms (0.8%)

Memory

-24.4MiB live, 61.4MiB allocated

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	512	15	527
Fresh	4	2	6
Picked	3	2	5
Done	0	0	0
Total	519	19	538

Accuracy

100.0%

Counts

538 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
▶	78.8%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	67.6%	(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (/ 1/2 (* J (sinh l))) (/.f64 #s(literal 1/2 binary64) (*.f64 l J)))) U)
	44.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
▶	45.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
	44.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
▶	54.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
✓	54.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
▶	44.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
	45.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
	53.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
	33.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
✓	33.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	33.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
	48.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
	25.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
	55.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	51.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
	24.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 1 586 to 1 092 computations (31.1% saved)

simplify119.0ms (1.2%)

Memory

17.0MiB live, 132.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
cost-diff	0	#s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64)))
cost-diff	0	(fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U)))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
cost-diff	0	#s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J)
cost-diff	0	(fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
cost-diff	0	(*.f64 l J)
cost-diff	0	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
cost-diff	0	(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff	0	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	494
0	94	494
1	182	494
2	375	494
3	694	486
4	1155	486
5	2846	486
6	7635	486
0	8197	472

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 l J)
l
J
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))
#s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64)))
(.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))
(.f64 (.f64 (*.f64 K K) l) J)
(.f64 (.f64 K K) l)
(*.f64 K K)
K
l
J
#s(literal 1/192 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J

Outputs
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) #s(literal 2 binary64)) (sinh.f64 l) U)
(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (sinh.f64 l))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 l J)
(*.f64 J l)
l
J
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J #s(literal 2 binary64)) l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
(fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(fma.f64 (.f64 (.f64 J #s(literal 2 binary64)) l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J)
(.f64 #s(approx (cos (/ K -2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
#s(literal -1/8 binary64)
(*.f64 K K)
K
#s(literal 1 binary64)
J
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 J #s(literal 2 binary64)) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 J #s(literal 2 binary64)) l U)))
(fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))
(fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 J #s(literal 2 binary64)) l U))
#s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64)))
(.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))
(.f64 (.f64 (*.f64 K K) l) J)
(.f64 (.f64 K K) l)
(*.f64 K K)
K
l
J
#s(literal 1/192 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) l U)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) #s(literal 2 binary64))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) #s(literal 2 binary64)))
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J

localize242.0ms (2.4%)

Memory

-14.6MiB live, 309.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
accuracy	0.11328125	(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy	20.703598096586965	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
accuracy	29.636291778288545	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
accuracy	8.631727990144416	(.f64 (.f64 (*.f64 K K) l) J)
accuracy	20.703598096586965	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
accuracy	25.761574406075596	#s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64)))
accuracy	27.851303792889883	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U)))
accuracy	0.0390625	(fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
accuracy	0.12109375	(.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J)
accuracy	20.703598096586965	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
accuracy	33.6811049703563	#s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 l J)
accuracy	0.0078125	(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
accuracy	14.433128594711805	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
accuracy	20.703598096586965	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
accuracy	0.0	(sinh.f64 l)
accuracy	0.0234375	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.06640625	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy	30.34391328578124	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

124.0ms	196×	0	valid
66.0ms	60×	1	valid

Compiler

Compiled 298 to 61 computations (79.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-cos: 62.0ms (38.6% of total)

ival-mult: 50.0ms (31.1% of total)

ival-add: 16.0ms (10% of total)

ival-exp: 14.0ms (8.7% of total)

adjust: 6.0ms (3.7% of total)

const: 5.0ms (3.1% of total)

ival-div: 3.0ms (1.9% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

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

series65.0ms (0.6%)

Memory

19.6MiB live, 132.1MiB allocated

Counts

22 → 112

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 l J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))
#s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(sinh.f64 l)
(.f64 (.f64 (*.f64 K K) l) J)

Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* J l)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (* (pow K 2) 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) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(+ 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)))))))))
(* 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)))))))))
(* 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))))))))
(+ 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 (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(* 2 (* l (cos (* 1/2 K))))
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))))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U 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)))))))))))
(- (+ (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)))
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)))
(+ 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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	l	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 l) (cos (* 1/2 K))) J) (* (* 2 l) (cos (* 1/2 K))) (sinh l) (* (* (* K K) l) J))
8.0ms	J	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 l) (cos (* 1/2 K))) J) (* (* 2 l) (cos (* 1/2 K))) (sinh l) (* (* (* K K) l) J))
7.0ms	l	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 l) (cos (* 1/2 K))) J) (* (* 2 l) (cos (* 1/2 K))) (sinh l) (* (* (* K K) l) J))
6.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 l) (cos (* 1/2 K))) J) (* (* 2 l) (cos (* 1/2 K))) (sinh l) (* (* (* K K) l) J))
5.0ms	U	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* l J) 2) U) (* l J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (/ K -2)) J) (* 2 l)) U) (* (cos (/ K -2)) J) (cos (/ K -2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (* (* J l) (+ (* (* K K) 1/192) -1/4)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* 2 l) (cos (* 1/2 K))) J) (* (* 2 l) (cos (* 1/2 K))) (sinh l) (* (* (* K K) l) J))

simplify192.0ms (1.9%)

Memory

-28.1MiB live, 212.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	415	1959
1	1370	1895
2	4294	1730
0	8235	1576

Stop Event

1×	iter limit
1×	node limit

Counts

112 → 109

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J l)))
(* J l)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* J (cos (* -1/2 K)))
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (* (pow K 2) 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) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(+ 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)))))))))
(* 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)))))))))
(* 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))))))))
(+ 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 (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(* 2 (* l (cos (* 1/2 K))))
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))))))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U 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)))))))))))
(- (+ (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)))
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)))
(+ 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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(cos (* -1/2 K))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))

Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* J l)
(*.f64 J l)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (cos (* -1/2 K)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) l) J)
(* 2 (* J (* l (cos (* 1/2 K)))))
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* J (* (pow K 2) l))
(.f64 (.f64 (*.f64 K K) l) J)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* 2 (* J l))
(.f64 (.f64 J l) #s(literal 2 binary64))
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* J (+ (* 2 l) (+ (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))) (/ U J))))
(.f64 (fma.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l) (/.f64 U J)) J)
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* -1 (* J (+ (* -2 l) (+ (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U J))))))
(.f64 (fma.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U J)) J)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (.f64 J (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l 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 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l l) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))) l U)
(* 2 (* l (cos (* -1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64))) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)))
(* 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)))))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (pow.f64 l #s(literal 4 binary64)) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))))) l)
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l 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 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))) l U)
(+ U (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* 2 (* l (cos (* 1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/6 binary64) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64)) (.f64 l l) #s(literal 1/6 binary64)) l)
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* l (+ (* 2 J) (+ (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4))) (/ U l))))
(.f64 (fma.f64 J (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(.f64 (fma.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U l)) l)
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(* -1 (* l (+ (* -2 J) (+ (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))) (* -1 (/ U l))))))
(.f64 (fma.f64 J (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) (/.f64 U l)) l)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J 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 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 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)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 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)))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J 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)))))))))))
(+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))))))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+.f64 (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 J (.f64 l (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(fma.f64 (.f64 J (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) J)
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) J) K) K (fma.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) J))
(* -1/4 (* J l))
(.f64 #s(literal -1/4 binary64) (.f64 J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(.f64 (.f64 (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) l) J)
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 J (.f64 l (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64))))))
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(fma.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) (.f64 (pow.f64 K #s(literal 4 binary64)) (.f64 l (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)))))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* 1/192 (* J (* (pow K 4) l)))
(.f64 (.f64 (*.f64 (pow.f64 K #s(literal 4 binary64)) l) J) #s(literal 1/192 binary64))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(.f64 (.f64 (.f64 J l) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 K K)) #s(literal 1/192 binary64))) (pow.f64 K #s(literal 4 binary64)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (+ (* 2 (/ (* J l) (pow K 4))) (/ U (pow K 4))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/4 binary64) l) K) (/.f64 J K) (fma.f64 (*.f64 J l) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1/192 binary64)) (/.f64 U (pow.f64 K #s(literal 4 binary64))))) (pow.f64 K #s(literal 4 binary64)))
(* 1/192 (* J (* (pow K 2) l)))
(.f64 (.f64 (.f64 (.f64 K K) l) #s(literal 1/192 binary64)) J)
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(.f64 (.f64 (.f64 J l) (+.f64 (/.f64 #s(literal -1/4 binary64) (.f64 K K)) #s(literal 1/192 binary64))) (*.f64 K K))
(+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64)))
(+ U (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))))
(fma.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))) U))))
(.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) J #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (/.f64 (.f64 J l) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (fma.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (+ (* 2 (* J l)) (* J (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4))))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 #s(literal -1 binary64) (/.f64 (.f64 (.f64 J l) (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64))) U)))

rewrite201.0ms (2%)

Memory

29.1MiB live, 184.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	419
0	94	411
1	318	411
2	1880	411
0	8297	397

Stop Event

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

Counts

22 → 291

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U))
(fma.f64 (*.f64 l J) #s(literal 2 binary64) U)
(*.f64 l J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U)
(.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J)
#s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U)))
(fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))
#s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J))
(.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)
(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(sinh.f64 l)
(.f64 (.f64 (*.f64 K K) l) J)

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (.f64 U U)) (pow.f64 (fma.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)) #s(literal -1 binary64)))
(.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (.f64 U U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U U)) (fma.f64 (.f64 J #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l U) (-.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l U) (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K))) (pow.f64 (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K)) #s(literal 2 binary64))) (fma.f64 (pow.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) #s(literal 3 binary64)) (pow.f64 K #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 J #s(literal 2 binary64)) l U) #s(literal 3 binary64)))))
(fma.f64 (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (fma.f64 (pow.f64 (.f64 J l) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)) (pow.f64 (-.f64 (.f64 (.f64 J #s(literal 2 binary64)) l) U) #s(literal -1 binary64)) (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K)))
(fma.f64 (fma.f64 (pow.f64 (.f64 J l) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (.f64 J l) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 U (-.f64 U (.f64 (.f64 J #s(literal 2 binary64)) l)))) #s(literal -1 binary64)) (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K)))
(fma.f64 (.f64 J #s(literal 2 binary64)) l (+.f64 U (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
(fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 J #s(literal 2 binary64)) l U))
(fma.f64 (.f64 J l) #s(literal 2 binary64) (+.f64 U (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
(fma.f64 (.f64 #s(literal 2 binary64) l) J (+.f64 U (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
(fma.f64 (.f64 K K) #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(fma.f64 J (.f64 #s(literal 2 binary64) l) (+.f64 U (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
(fma.f64 #s(literal 2 binary64) (.f64 J l) (+.f64 U (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
(fma.f64 l (.f64 J #s(literal 2 binary64)) (+.f64 U (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
(fma.f64 K (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) (fma.f64 (*.f64 J #s(literal 2 binary64)) l U))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K))) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K))) U)) (/.f64 (.f64 U U) (-.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))) U)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l U) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l U) (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K)))) (/.f64 (pow.f64 (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K)) #s(literal 2 binary64)) (-.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l U) (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K)) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K)) (fma.f64 (.f64 J #s(literal 2 binary64)) l U))) (/.f64 (pow.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l U) #s(literal 2 binary64)) (-.f64 (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K)) (fma.f64 (.f64 J #s(literal 2 binary64)) l U))))
(+.f64 (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) U) (.f64 (*.f64 J #s(literal 2 binary64)) l))
(+.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))) U)
(+.f64 (.f64 (.f64 J #s(literal 2 binary64)) l) (+.f64 U (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
(+.f64 (.f64 #s(approx ( (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K)) (fma.f64 (.f64 J #s(literal 2 binary64)) l U))
(+.f64 (fma.f64 (.f64 J #s(literal 2 binary64)) l U) (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K)))
(+.f64 U (fma.f64 (.f64 J #s(literal 2 binary64)) l (.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (*.f64 K K))))
#s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64))) l)))
#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64))) l))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64))) l)
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J l)) #s(literal 2 binary64))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) (.f64 J l))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J) (.f64 #s(literal 2 binary64) l))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) (.f64 J #s(literal 2 binary64)))
(.f64 (.f64 (.f64 J #s(literal 2 binary64)) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 J #s(literal 2 binary64)) l))
(.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l))
(.f64 (.f64 J l) (.f64 #s(literal 2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 (.f64 #s(literal 2 binary64) l) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J))
(.f64 J (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)))
(.f64 #s(literal 2 binary64) (.f64 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 #s(literal 2 binary64) (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))
(.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l) J))
(.f64 l (.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
(.f64 l (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)))
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64)) l)
(.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) #s(literal 2 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l))
(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l))
(.f64 l (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(.f64 (/.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(.f64 (cosh.f64 l) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (sinh.f64 l) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -2 binary64))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (pow.f64 (exp.f64 l) #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(sinh.f64 l)
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(-.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))) (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (/.f64 (/.f64 (pow.f64 (exp.f64 l) #s(literal -3 binary64)) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 K K) J) l)
(.f64 (.f64 J (*.f64 K K)) l)
(.f64 (.f64 J K) (*.f64 l K))
(.f64 (.f64 (*.f64 K K) l) J)
(.f64 (.f64 J l) (*.f64 K K))
(.f64 (.f64 K K) (*.f64 J l))
(.f64 J (.f64 (*.f64 K K) l))
(.f64 l (.f64 (*.f64 K K) J))
(.f64 K (.f64 (*.f64 l K) J))
(.f64 K (.f64 K (*.f64 J l)))

eval72.0ms (0.7%)

Memory: 1.0MiB live, 124.1MiB allocated
Compiler: Compiled 19 356 to 1 707 computations (91.2% saved)

prune34.0ms (0.3%)

Memory

-1.8MiB live, 74.1MiB allocated

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	374	8	382
Fresh	6	6	12
Picked	1	4	5
Done	0	2	2
Total	381	20	401

Accuracy

100.0%

Counts

401 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.1%	(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
✓	78.8%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	75.4%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	75.0%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	71.3%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
	67.6%	(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (/ 1/2 (* J (sinh l))) (/.f64 #s(literal 1/2 binary64) (*.f64 l J)))) U)
	44.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
✓	45.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
✓	54.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
✓	54.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
	53.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
	33.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
✓	33.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
✓	33.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
	26.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
	25.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
	55.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	51.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
	20.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
	24.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 2 330 to 829 computations (64.4% saved)

regimes169.0ms (1.7%)

Memory

2.0MiB live, 159.7MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (/ 1/2 (* J (sinh l))) (/.f64 #s(literal 1/2 binary64) (*.f64 l J)))) U)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ ( (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/.f64 #s(literal 1/2 binary64) (*.f64 J l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (cosh.f64 l) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))

Outputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Calls

10 calls:

39.0ms	J
27.0ms	U
19.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
14.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	K

Results

Accuracy	Segments	Branch
99.9%	1	`J`
99.9%	1	`l`
99.9%	1	`K`
99.9%	1	`U`
99.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
99.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
99.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
99.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
99.9%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
99.9%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes144.0ms (1.4%)

Memory

10.7MiB live, 196.7MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (/ 1/2 (* J (sinh l))) (/.f64 #s(literal 1/2 binary64) (*.f64 l J)))) U)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ ( (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/.f64 #s(literal 1/2 binary64) (*.f64 J l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))

Outputs

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

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

Calls

10 calls:

31.0ms	l
17.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
15.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	U
13.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Results

Accuracy	Segments	Branch
95.4%	1	`J`
95.4%	1	`l`
97.3%	2	`K`
95.4%	1	`U`
95.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
95.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
95.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
95.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
97.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.3%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes46.0ms (0.5%)

Memory

13.0MiB live, 57.9MiB allocated

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (/ 1/2 (* J (sinh l))) (/.f64 #s(literal 1/2 binary64) (*.f64 l J)))) U)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ ( (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/.f64 #s(literal 1/2 binary64) (*.f64 J l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

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

Calls

3 calls:

22.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms	(/.f64 K #s(literal 2 binary64))
11.0ms	K

Results

Accuracy	Segments	Branch
97.3%	2	`K`
97.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.3%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes147.0ms (1.4%)

Memory

-39.8MiB live, 207.8MiB allocated

Counts

35 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (/ 1/2 (* J (sinh l))) (/.f64 #s(literal 1/2 binary64) (*.f64 l J)))) U)
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ ( (cosh l) 2) (* (* (cosh l) 2) (* (* (sinh l) J) 2))) (/.f64 #s(literal 1/2 binary64) (*.f64 J l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Calls

10 calls:

26.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
25.0ms	l
19.0ms	J
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms	U

Results

Accuracy	Segments	Branch
97.6%	5	`l`
90.9%	1	`U`
90.9%	1	`J`
90.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
90.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
90.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
90.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
95.4%	2	`K`
95.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.4%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes45.0ms (0.4%)

Memory

9.6MiB live, 47.4MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Outputs

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

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Calls

3 calls:

25.0ms	K
10.0ms	(/.f64 K #s(literal 2 binary64))
9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
94.7%	2	`K`
94.7%	2	`(/.f64 K #s(literal 2 binary64))`
94.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes101.0ms (1%)

Memory

1.9MiB live, 201.2MiB allocated

Counts

31 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Outputs

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Calls

10 calls:

14.0ms	(/.f64 K #s(literal 2 binary64))
11.0ms	l
11.0ms	U
11.0ms	J
10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
89.1%	3	`J`
89.4%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
78.8%	1	`U`
90.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
90.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
87.7%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
89.4%	3	`l`
84.4%	2	`K`
84.4%	2	`(/.f64 K #s(literal 2 binary64))`
89.7%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes80.0ms (0.8%)

Memory

25.8MiB live, 64.7MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) (.f64 #s(literal 2 binary64) l) U))

Outputs

(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Calls

5 calls:

46.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
9.0ms	l
9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
7.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
88.2%	3	`l`
88.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
87.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
87.9%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
87.9%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 39 to 46 computations (-17.9% saved)

regimes11.0ms (0.1%)

Memory

-24.7MiB live, 14.0MiB allocated

Counts

28 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))

Outputs

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

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Calls

1 calls:

8.0ms

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
87.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes55.0ms (0.5%)

Memory

-2.6MiB live, 75.8MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l) #s(literal 2 binary64))))

Outputs

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

(fma.f64 (*.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Calls

7 calls:

8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
8.0ms	l
8.0ms	J
8.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
78.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
78.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
78.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
78.8%	1	`l`
78.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
82.2%	2	`J`
84.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes30.0ms (0.3%)

Memory

12.5MiB live, 50.8MiB allocated

Counts

23 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (fma.f64 J (fma.f64 (.f64 (.f64 K K) l) (/.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) U) (*.f64 (/.f64 l U) #s(literal 2 binary64))) #s(literal 1 binary64)) U))))

Outputs

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

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

Calls

4 calls:

8.0ms	K
7.0ms	J
7.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
75.4%	1	`J`
75.4%	1	`K`
75.4%	1	`(/.f64 K #s(literal 2 binary64))`
81.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes8.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))

Outputs

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

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

Calls

1 calls:

6.0ms

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
80.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes10.0ms (0.1%)

Memory

-25.6MiB live, 12.3MiB allocated

Counts

20 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 #s(approx (* (* J l) (+ (* (* K K) 1/192) -1/4)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) l) (.f64 K K)) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))

Outputs

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

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

Calls

1 calls:

9.0ms

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
80.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes36.0ms (0.3%)

Memory

27.6MiB live, 66.0MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))
(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* (* J l) (+ (* (* K K) 1/192) -1/4)) (* K K)) (+ (* (* 2 J) l) U)) (.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (.f64 K K) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 l J) (fma.f64 (fma.f64 #s(literal 1/192 binary64) (.f64 K K) #s(literal -1/4 binary64)) (*.f64 K K) #s(literal 2 binary64)) U)))

Outputs

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

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

Calls

7 calls:

7.0ms	l
5.0ms	U
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
4.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
71.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
71.3%	1	`U`
71.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
71.3%	1	`l`
71.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
71.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
77.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes44.0ms (0.4%)

Memory

-23.3MiB live, 64.7MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 l J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) J) (*.f64 #s(literal 2 binary64) l) U))

Outputs

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

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

Calls

10 calls:

9.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	l
4.0ms	J
4.0ms	K
4.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.1%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
55.0%	1	`U`
59.1%	2	`l`
59.2%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
59.2%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
59.1%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
55.0%	1	`J`
58.4%	3	`K`
58.4%	3	`(/.f64 K #s(literal 2 binary64))`
60.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes4.0ms (0%)

Memory

3.8MiB live, 3.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
59.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes16.0ms (0.2%)

Memory

16.1MiB live, 16.1MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

6 calls:

3.0ms	l
3.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
58.8%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
60.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
60.6%	3	`l`
58.9%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
58.9%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
57.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 47 to 55 computations (-17% saved)

regimes50.0ms (0.5%)

Memory

-24.1MiB live, 14.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

42.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	l
2.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
59.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
57.7%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
57.8%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
57.8%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
59.5%	3	`l`

Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes40.0ms (0.4%)

Memory

-5.1MiB live, 31.9MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

10 calls:

25.0ms	U
2.0ms	J
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	l
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
54.0%	1	`U`
54.0%	1	`J`
54.0%	1	`K`
54.0%	1	`(/.f64 K #s(literal 2 binary64))`
54.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
54.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
54.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
54.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
54.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
54.0%	1	`l`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes12.0ms (0.1%)

Memory

30.6MiB live, 30.6MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

1.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
1.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
1.0ms	l

Results

Accuracy	Segments	Branch
20.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
20.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
20.1%	1	`U`
20.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
20.1%	1	`l`
20.1%	1	`J`
20.1%	1	`K`
20.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
20.1%	1	`(/.f64 K #s(literal 2 binary64))`
20.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.434805954783827e-23	5.4012656750878215e-20

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.434805954783827e-23	5.4012656750878215e-20

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.992940801539079	0.9954444897916017

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3156380654226066	0.3175068634582459

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1335764359231262e+286	+inf
0.0ms	-1.6781485667667893e+58	-357.1378251592064

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03928792275512748	0.003131603682647315

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03928792275512748	0.003131603682647315

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch6.0ms (0.1%)

Memory

-36.9MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.3671839692607974	-0.21688542266440514

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.3671839692607974	-0.21688542266440514

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.3671839692607974	-0.21688542266440514

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03928792275512748	0.003131603682647315

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03928792275512748	0.003131603682647315

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03928792275512748	0.003131603682647315

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03928792275512748	0.003131603682647315

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch37.0ms (0.4%)

Memory

27.3MiB live, 61.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.7775097376940953e+28	6.653155039553235e+28
21.0ms	-1.2128633503939067e+35	-1.3784569499426683e+29

Samples

25.0ms

208×

valid

Compiler

Compiled 1 115 to 806 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-cos: 8.0ms (43.4% of total)

ival-exp: 3.0ms (16.3% of total)

ival-mult: 3.0ms (16.3% of total)

ival-div: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

ival-sub: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory

7.2MiB live, 43.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	6.653155039553235e+28	4.7507441265956964e+33
1.0ms	-1.2128633503939067e+35	-1.3784569499426683e+29

Samples

17.0ms

144×

valid

Compiler

Compiled 1 548 to 1 119 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 3.0ms (23.3% of total)

ival-cos: 3.0ms (23.3% of total)

ival-exp: 2.0ms (15.5% of total)

ival-mult: 2.0ms (15.5% of total)

ival-div: 1.0ms (7.8% of total)

ival-sub: 1.0ms (7.8% of total)

ival-neg: 1.0ms (7.8% of total)

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

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

exact: 0.0ms (0% of total)

simplify113.0ms (1.1%)

Memory

-7.5MiB live, 77.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	191	1250
1	244	1250
2	320	1250
3	443	1250
4	762	1208
5	1494	1208
6	3571	1208
7	7108	1208

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5692549928996307/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -9999999999999999438119489974413630815797154428513196965888 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 40000000000000001319544441363478699417083520460180314547390332566952102911144359515659154874345297651440469526517609593602352808846070463447296324668951162364530823708308233521804472831690438299749571920194575166617207694888593244900050884667283337052501378615669149173199628334975156224 binary64)) (fma.f64 #s(approx ( (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(if (<=.f64 l #s(literal -4300000000000000001061393793024 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 37999999999999998855659651072 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 l #s(literal -4300000000000000001061393793024 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 67000000000000000065632468992 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))

Outputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5692549928996307/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -9999999999999999438119489974413630815797154428513196965888 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 40000000000000001319544441363478699417083520460180314547390332566952102911144359515659154874345297651440469526517609593602352808846070463447296324668951162364530823708308233521804472831690438299749571920194575166617207694888593244900050884667283337052501378615669149173199628334975156224 binary64)) (fma.f64 #s(approx ( (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) (fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) J U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos (/ K -2)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) J) (.f64 #s(literal 2 binary64) l) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/288230376151711744 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
(if (<=.f64 l #s(literal -4300000000000000001061393793024 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 37999999999999998855659651072 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 #s(approx ( (* 2 l) (cos (* 1/2 K))) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J)))))
(if (<=.f64 l #s(literal -4300000000000000001061393793024 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 67000000000000000065632468992 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
(if (or (<=.f64 l #s(literal -4300000000000000001061393793024 binary64)) (not (<=.f64 l #s(literal 67000000000000000065632468992 binary64)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 l J) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* l J) 2) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))

soundness1.6s (16.1%)

Memory

-3.4MiB live, 1 034.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	2088
1	1357	2052
2	4048	1816
0	8086	1683
0	14	48
0	23	40
1	72	40
2	433	40
0	4500	39
0	58	415
0	99	397
1	340	351
2	2285	349
0	8704	345
0	52	335
0	77	327
1	270	321
2	1882	315
0	8903	304
0	157	769
1	491	769
2	1550	659
3	3733	659
0	8314	602
0	415	1959
1	1370	1895
2	4294	1730
0	8235	1576
0	385	1939
1	1232	1911
2	3850	1708
0	8157	1557

Stop Event

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

Compiler

Compiled 2 142 to 1 085 computations (49.3% saved)

preprocess196.0ms (1.9%)

Memory: 2.8MiB live, 114.8MiB allocated
Remove: (abs K)
Compiler: Compiled 2 570 to 430 computations (83.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.4s (23.9%)

explain274.0ms (2.7%)

preprocess94.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify53.0ms (0.5%)

localize93.0ms (0.9%)

series23.0ms (0.2%)

simplify120.0ms (1.2%)

rewrite165.0ms (1.6%)

eval70.0ms (0.7%)

prune10.0ms (0.1%)

simplify109.0ms (1.1%)

localize655.0ms (6.4%)

series75.0ms (0.7%)

simplify219.0ms (2.1%)

rewrite235.0ms (2.3%)

eval184.0ms (1.8%)

prune37.0ms (0.4%)

simplify130.0ms (1.3%)

localize570.0ms (5.6%)

series72.0ms (0.7%)

simplify222.0ms (2.2%)

rewrite158.0ms (1.6%)

eval100.0ms (1%)

prune86.0ms (0.8%)

simplify119.0ms (1.2%)

localize242.0ms (2.4%)

series65.0ms (0.6%)

simplify192.0ms (1.9%)

rewrite201.0ms (2%)

eval72.0ms (0.7%)

prune34.0ms (0.3%)

regimes169.0ms (1.7%)

regimes144.0ms (1.4%)

regimes46.0ms (0.5%)

regimes147.0ms (1.4%)

regimes45.0ms (0.4%)

regimes101.0ms (1%)

regimes80.0ms (0.8%)

regimes11.0ms (0.1%)

regimes55.0ms (0.5%)

regimes30.0ms (0.3%)

regimes8.0ms (0.1%)

regimes10.0ms (0.1%)

regimes36.0ms (0.3%)

regimes44.0ms (0.4%)

regimes4.0ms (0%)

regimes16.0ms (0.2%)

regimes50.0ms (0.5%)

regimes40.0ms (0.4%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch37.0ms (0.4%)

bsearch27.0ms (0.3%)

simplify113.0ms (1.1%)

soundness1.6s (16.1%)

preprocess196.0ms (1.9%)

end0.0ms (0%)

Profiling