Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

1.4MiB live, 1.4MiB 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)

sample4.8s (17.1%)

Memory

138.4MiB live, 6 724.0MiB allocated

Samples

2.0s	6 474×	0	valid
1.9s	1 782×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 3.1s

ival-exp: 1.1s (36.6% of total)

ival-cos: 817.0ms (26.1% of total)

ival-mult: 333.0ms (10.6% of total)

ival-div: 242.0ms (7.7% of total)

ival-add: 223.0ms (7.1% of total)

adjust: 162.0ms (5.2% of total)

ival-sub: 103.0ms (3.3% of total)

ival-neg: 76.0ms (2.4% of total)

exact: 13.0ms (0.4% of total)

ival-true: 11.0ms (0.4% of total)

ival-assert: 7.0ms (0.2% of total)

Bogosity

explain717.0ms (2.6%)

Memory

0.3MiB live, 1 306.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	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	116	(-2.5758622636160663e-29 -3.8997810933270557e-233 6.5792711438527525e+87 1.5975749123685681e-205)	-	`(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	0	-	-	`(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	116	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	37	0

Confusion

	Predicted +	Predicted -
+	36	0
-	98	122

Precision

0.26865671641791045

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	36	0	0
-	98	0	122

Precision?

0.26865671641791045

Recall?

1.0

Freqs

test

number	freq
0	122
1	115
2	19

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

200.0ms	200×	1	valid
55.0ms	262×	0	valid
48.0ms	50×	2	valid

Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 220.0ms

ival-exp: 119.0ms (54.2% of total)

ival-cos: 30.0ms (13.7% of total)

ival-mult: 19.0ms (8.6% of total)

ival-sub: 17.0ms (7.7% of total)

adjust: 15.0ms (6.8% of total)

ival-div: 7.0ms (3.2% of total)

ival-add: 7.0ms (3.2% of total)

ival-neg: 4.0ms (1.8% of total)

ival-true: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

preprocess275.0ms (1%)

Memory

13.8MiB live, 464.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	216
1	188	214
2	460	214
3	1699	214
0	14	15
0	23	15
1	44	15
2	91	15
3	288	15
4	1473	13
0	9642	12

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.0%	(+.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)

simplify252.0ms (0.9%)

Memory

83.7MiB live, 510.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	23	61
1	44	61
2	91	61
3	288	61
4	1473	53
0	9642	52

Stop Event

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

Calls

Call 1

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

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

localize985.0ms (3.5%)

Memory

-281.9MiB live, 475.5MiB 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	0.060878759768442016	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	29.764803047946373	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

842.0ms	100×	1	valid
53.0ms	25×	2	valid
37.0ms	131×	0	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 856.0ms

ival-exp: 753.0ms (87.9% of total)

adjust: 63.0ms (7.4% of total)

ival-cos: 15.0ms (1.8% of total)

ival-mult: 10.0ms (1.2% of total)

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

ival-add: 4.0ms (0.5% of total)

ival-div: 3.0ms (0.4% of total)

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

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.2%)

Memory

11.7MiB live, 110.5MiB allocated

Counts

6 → 44

Calls

Call 1

Inputs
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.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))))
(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)))))
(* 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 (* 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)))))))
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)
(- (exp l) (exp (* -1 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))))
(+ 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
19.0ms	K	@	-inf	((- (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)))) (cos (/ K 2)) (exp l))
5.0ms	J	@	0	((- (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)))) (cos (/ K 2)) (exp l))
4.0ms	K	@	0	((- (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)))) (cos (/ K 2)) (exp l))
4.0ms	l	@	0	((- (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)))) (cos (/ K 2)) (exp l))
3.0ms	J	@	-inf	((- (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)))) (cos (/ K 2)) (exp l))

simplify541.0ms (1.9%)

Memory

107.3MiB live, 633.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	783
1	604	783
2	2360	673
3	5981	673
0	8293	619

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

rewrite438.0ms (1.6%)

Memory

9.4MiB live, 654.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	23	40
1	74	40
2	506	40
3	5967	40
0	8124	39

Stop Event

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

Counts

6 → 299

Calls

Call 1

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

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

eval141.0ms (0.5%)

Memory: -29.3MiB live, 207.2MiB allocated
Compiler: Compiled 11 737 to 1 539 computations (86.9% saved)

prune55.0ms (0.2%)

Memory

-22.0MiB live, 82.1MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	327	10	337
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	328	10	338

Accuracy

100.0%

Counts

338 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
	50.3%	(+.f64 (/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) l))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) U)
▶	93.6%	(+.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)
	91.3%	(+.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)
▶	88.0%	(+.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)
	60.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
	84.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
	77.0%	#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))
▶	60.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
▶	84.3%	#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 526 to 418 computations (20.5% saved)

simplify205.0ms (0.7%)

Memory

64.2MiB live, 507.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	489
0	88	489
1	178	489
2	528	489
3	2113	489
4	7338	489
0	8337	475

Stop Event

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

Calls

Call 1

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

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

localize860.0ms (3.1%)

Memory

-4.6MiB live, 1 415.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(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	0.060878759768442016	(.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	0.4729149089335294	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	4.978588050728246	#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	0.04296875	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy	0.060878759768442016	(.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	0.09375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	8.87144586804211	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0.08984375	(.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))))
accuracy	0.09375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	5.720665634946846	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	11.158191480226956	#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))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) K)
accuracy	0.0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	0.046875	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (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 -2 binary64)))
accuracy	0.0234375	(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
accuracy	0.04296875	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))

Samples

330.0ms	100×	1	valid
237.0ms	131×	0	valid
95.0ms	25×	2	valid

Compiler

Compiled 368 to 49 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 533.0ms

const: 129.0ms (24.2% of total)

ival-add: 112.0ms (21% of total)

ival-mult: 89.0ms (16.7% of total)

ival-exp: 75.0ms (14.1% of total)

ival-cos: 71.0ms (13.3% of total)

adjust: 40.0ms (7.5% of total)

ival-div: 6.0ms (1.1% of total)

ival-sub: 4.0ms (0.8% of total)

ival-sinh: 3.0ms (0.6% of total)

ival-neg: 2.0ms (0.4% of total)

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

exact: 1.0ms (0.2% of total)

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

series243.0ms (0.9%)

Memory

-0.3MiB live, 331.8MiB allocated

Counts

27 → 131

Calls

Call 1

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

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))
(* 2 J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -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)))))))))
(* l (cos (* -1/2 K)))
(* l (+ (cos (* -1/2 K)) (* 1/6 (* (pow l 2) (cos (* -1/2 K))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* -1/2 K)))) (* 1/6 (cos (* -1/2 K)))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* -1/2 K)))) (* 1/120 (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))))))))
(+ 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 (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* 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))))))))))
(* 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))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/60
(+ 1/60 (* 1/2520 (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))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 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))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* 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) (/ 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)))
(+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* 1/768 (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/92160 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/768 (- (exp l) (/ 1 (exp l)))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 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))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
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)))
(+ (* -1/8 (* 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)
(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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
64.0ms	l	@	-inf	((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* 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))) (cos (/ K -2)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
37.0ms	J	@	inf	((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* 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))) (cos (/ K -2)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
36.0ms	U	@	0	((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* 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))) (cos (/ K -2)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
18.0ms	K	@	0	((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* 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))) (cos (/ K -2)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
14.0ms	J	@	0	((+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (sinh l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* 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))) (cos (/ K -2)) (* -1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))

simplify434.0ms (1.6%)

Memory

55.6MiB live, 509.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	2474
1	1764	2387
2	7664	2382
0	8423	2209

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 129

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))
(* 2 J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -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)))))))))
(* l (cos (* -1/2 K)))
(* l (+ (cos (* -1/2 K)) (* 1/6 (* (pow l 2) (cos (* -1/2 K))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* -1/2 K)))) (* 1/6 (cos (* -1/2 K)))))))
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* -1/2 K)))) (* 1/120 (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))))))))
(+ 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 (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* 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))))))))))
(* 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))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/60
(+ 1/60 (* 1/2520 (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))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 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))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* 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) (/ 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)))
(+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* 1/768 (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))
(+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/92160 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/768 (- (exp l) (/ 1 (exp l)))))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* 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))))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
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)))
(+ (* -1/8 (* 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)
(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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* 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 (+ 2 (* 1/3 (pow l 2))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) 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)))) (/ 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)
(* 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #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)))))
(neg.f64 (.f64 (neg.f64 J) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(neg.f64 (.f64 (neg.f64 J) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(.f64 (neg.f64 J) (fma.f64 (.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(.f64 (neg.f64 J) (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/60 binary64)) (.f64 (.f64 l l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) l U)
(* 2 (* l (cos (* -1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (.f64 #s(literal 1/2 binary64) 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)))))))
(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 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) 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)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.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))) (.f64 l l)) (.f64 l l))) l)
(* l (cos (* -1/2 K)))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)
(* l (+ (cos (* -1/2 K)) (* 1/6 (* (pow l 2) (cos (* -1/2 K))))))
(.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 l l) #s(literal 1 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l)
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* -1/2 K)))) (* 1/6 (cos (* -1/2 K)))))))
(.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/120 binary64) (.f64 l l) #s(literal 1/6 binary64))) (.f64 l l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) l)
(* l (+ (cos (* -1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* -1/2 K)))) (* 1/120 (cos (* -1/2 K)))))))))
(.f64 (fma.f64 (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/5040 binary64) (.f64 l l) #s(literal 1/120 binary64))) (.f64 l l) (.f64 #s(literal 1/6 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) 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)
(+ 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 (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
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(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
1
#s(literal 1 binary64)
(+ 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 (-.f64 (.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 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(fma.f64 (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.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 (fma.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.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 (fma.f64 (.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (fma.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (.f64 (.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (.f64 K K))) (.f64 K K) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(* -1/2 K)
(*.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 (.f64 (neg.f64 J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) #s(literal 1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 (.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 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(.f64 (neg.f64 U) (-.f64 (/.f64 (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (neg.f64 U)) #s(literal 1 binary64)))

rewrite421.0ms (1.5%)

Memory

11.1MiB live, 557.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	383
0	88	363
1	312	361
2	2224	361
0	8278	359

Stop Event

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

Counts

27 → 404

Calls

Call 1

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

Outputs
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U) (.f64 U U))) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))) (.f64 (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))) (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (.f64 U U)) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U))
(/.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))))
(/.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64))))
(fma.f64 (.f64 J (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) J) #s(literal 2 binary64) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) J U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) J) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (.f64 J #s(literal 2 binary64)) U)
(fma.f64 (sinh.f64 l) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) J) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))) (/.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))))
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)) (/.f64 (.f64 U U) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)))
(-.f64 U (.f64 (neg.f64 J) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(-.f64 U (.f64 (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) J))
(-.f64 U (.f64 (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) (*.f64 J #s(literal 2 binary64))))
(-.f64 U (.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))
(-.f64 U (.f64 (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
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(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 (.f64 l l) (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 l) (.f64 (neg.f64 l) (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
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(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))
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eval335.0ms (1.2%)

Memory: -35.7MiB live, 407.0MiB allocated
Compiler: Compiled 23 963 to 2 730 computations (88.6% saved)

prune276.0ms (1%)

Memory

-13.7MiB live, 211.2MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	554	27	581
Fresh	5	0	5
Picked	4	1	5
Done	0	0	0
Total	563	28	591

Accuracy

100.0%

Counts

591 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
	93.6%	(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) 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)) U)
	60.5%	(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
	77.0%	(fma.f64 #s(approx (* (* (sinh l) (cos (/ K -2))) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
▶	93.6%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) 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)
	91.3%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #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)
	60.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
▶	41.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
	43.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
	60.5%	#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 #s(literal 2 binary64))) l U))
	84.3%	#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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
	70.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
	55.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	57.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	58.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	70.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	84.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) U))
	34.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
	36.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
	70.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l U))
	41.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
▶	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
▶	57.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
▶	25.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	68.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
	73.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	77.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
	52.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 2 212 to 1 598 computations (27.8% saved)

simplify442.0ms (1.6%)

Memory

36.8MiB live, 662.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))
cost-diff	0	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
cost-diff	0	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
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 J) l) (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 J) l) (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 #s(literal 2 binary64) J)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) J) l)
cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
cost-diff	0	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) 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 (.f64 #s(literal 1/2520 binary64) 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 (.f64 #s(literal 1/2520 binary64) 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 (.f64 #s(literal 1/2520 binary64) 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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	584
0	100	584
1	196	584
2	538	584
3	1683	584
4	5647	584
0	8015	573

Stop Event

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

Calls

Call 1

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

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

localize643.0ms (2.3%)

Memory

85.2MiB live, 1 287.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J))
accuracy	0.05078125	(fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))
accuracy	8.787640906011827	(.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
accuracy	0.015625	(.f64 (.f64 J l) #s(literal 2 binary64))
accuracy	0.11166000976844202	(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	32.42868131568474	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	0.046875	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U)
accuracy	0.41237516557343723	(.f64 #s(literal 1/384 binary64) (.f64 K K))
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
accuracy	28.954639813483436	#s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
accuracy	0.0	(*.f64 #s(literal 2 binary64) l)
accuracy	10.21932950053622	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
accuracy	0.05078125	(fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
accuracy	0.060878759768442016	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) 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	0.06640625	(fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))
accuracy	4.978588050728246	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))

Samples

292.0ms	100×	1	valid
158.0ms	131×	0	valid
60.0ms	25×	2	valid

Compiler

Compiled 370 to 56 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-mult: 180.0ms (47.1% of total)

ival-exp: 43.0ms (11.2% of total)

ival-cos: 38.0ms (9.9% of total)

const: 34.0ms (8.9% of total)

adjust: 30.0ms (7.8% of total)

ival-add: 26.0ms (6.8% of total)

ival-sub: 16.0ms (4.2% of total)

ival-div: 9.0ms (2.4% of total)

ival-neg: 5.0ms (1.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series857.0ms (3.1%)

Memory

-177.5MiB live, 317.3MiB allocated

Counts

24 → 94

Calls

Call 1

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

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))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(/ U J)
(/ (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) 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 (+ (* 2 l) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* l (cos (* 1/2 K))))
(+ (* 2 (* l (cos (* 1/2 K)))) (/ 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)))))
(+ 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))))))))))
(* 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))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(- (exp l) (exp (neg 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 (cos (* 1/2 K))) (/ U (* J l))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 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))))))
(+ 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)))
(* -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 (cos (* 1/2 K))) (* -1 (/ U (* J 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))))))))))
(+ 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 (* (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 (* J (* (pow K 2) l))) (* J (+ (* 2 l) (/ U J))))
(+ (* J (+ (* 2 l) (/ U J))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* J (+ (* 2 l) (/ U J))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ (* 2 l) (/ U J))
(+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J)))
(+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))) (/ U J)))
(+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ U J)))
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)))
(* 1/384 (pow K 2))
(cos (* -1/2 K))
(* 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 (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J)))
(* -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 (- (* -2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J))))

Calls

12 calls:

Time	Variable		Point	Expression
693.0ms	l	@	-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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (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) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) J) (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) (+ (* (* 1/2520 l) l) 1/60) (+ (* (+ (* (* 1/2520 l) l) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/384 (* K K)))
74.0ms	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (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) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) J) (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) (+ (* (* 1/2520 l) l) 1/60) (+ (* (+ (* (* 1/2520 l) l) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/384 (* K K)))
28.0ms	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (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) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) J) (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) (+ (* (* 1/2520 l) l) 1/60) (+ (* (+ (* (* 1/2520 l) l) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/384 (* K K)))
12.0ms	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (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) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) J) (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) (+ (* (* 1/2520 l) l) 1/60) (+ (* (+ (* (* 1/2520 l) l) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/384 (* K K)))
8.0ms	l	@	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (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) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) J) (+ (* (* 2 l) (cos (* 1/2 K))) (/ U J)) (+ (* (* 1/2520 l) l) 1/60) (+ (* (+ (* (* 1/2520 l) l) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/384 (* K K)))

simplify328.0ms (1.2%)

Memory

48.2MiB live, 594.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	292	1525
1	1087	1519
2	4390	1517
0	8259	1409

Stop Event

1×	iter limit
1×	node limit

Counts

94 → 93

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))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(/ U J)
(/ (+ U (* 2 (* J (* l (cos (* 1/2 K)))))) 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 (+ (* 2 l) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* l (cos (* 1/2 K))))
(+ (* 2 (* l (cos (* 1/2 K)))) (/ 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)))))
(+ 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))))))))))
(* 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))))))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(- (exp l) (exp (neg 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 (cos (* 1/2 K))) (/ U (* J l))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 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))))))
(+ 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)))
(* -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 (cos (* 1/2 K))) (* -1 (/ U (* J 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))))))))))
(+ 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 (* (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 (* J (* (pow K 2) l))) (* J (+ (* 2 l) (/ U J))))
(+ (* J (+ (* 2 l) (/ U J))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* J (+ (* 2 l) (/ U J))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(+ (* 2 l) (/ U J))
(+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J)))
(+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))) (/ U J)))
(+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ U J)))
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)))
(* 1/384 (pow K 2))
(cos (* -1/2 K))
(* 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 (+ (* 2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J)))
(* -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 (- (* -2 (/ (* l (cos (* 1/2 K))) U)) (/ 1 J))))

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

rewrite351.0ms (1.3%)

Memory

7.2MiB live, 658.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	461
0	100	445
1	355	445
2	2413	445
0	8445	434

Stop Event

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

Counts

24 → 261

Calls

Call 1

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

Outputs
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(/.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (*.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 l))) l #s(literal 1/60 binary64))
(fma.f64 (fabs.f64 (*.f64 #s(literal 1/2520 binary64) l)) l #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) (neg.f64 l)) (neg.f64 l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 l (fabs.f64 (*.f64 #s(literal 1/2520 binary64) l)) #s(literal 1/60 binary64))
(fma.f64 l (*.f64 #s(literal 1/2520 binary64) l) #s(literal 1/60 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 (.f64 (.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 (*.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))
(-.f64 #s(literal 1/60 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/2520 binary64) l)) l))
(-.f64 #s(literal 1/60 binary64) (.f64 #s(literal -1/2520 binary64) (.f64 l l)))
(-.f64 #s(literal 1/60 binary64) (.f64 (neg.f64 l) (.f64 #s(literal 1/2520 binary64) l)))
(+.f64 (/.f64 (.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))) (/.f64 #s(literal 1/216000 binary64) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (*.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))))))
(+.f64 (.f64 (.f64 l l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64)))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64)))) #s(literal 1/27 binary64))) (.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64)))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/9 binary64)) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64)))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (*.f64 l #s(literal 1/3 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64)))))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) (neg.f64 l)) (neg.f64 l) #s(literal 1/3 binary64))
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64))
(fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (neg.f64 l) (.f64 (neg.f64 l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(fma.f64 l (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) #s(literal 1/3 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l)) l))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 l l)) (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))))
(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))) (*.f64 l l)))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) (.f64 l #s(literal 1/3 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l))
#s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1/384 binary64) (neg.f64 K))) K)
(.f64 (fabs.f64 (.f64 #s(literal 1/384 binary64) K)) K)
(.f64 (.f64 #s(literal 1/384 binary64) (neg.f64 K)) (neg.f64 K))
(.f64 (.f64 #s(literal 1/384 binary64) K) K)
(.f64 (neg.f64 K) (.f64 (neg.f64 K) #s(literal 1/384 binary64)))
(.f64 (.f64 K K) #s(literal 1/384 binary64))
(.f64 #s(literal 1/384 binary64) (.f64 K K))
(.f64 K (fabs.f64 (.f64 (neg.f64 K) #s(literal 1/384 binary64))))
(.f64 K (fabs.f64 (.f64 #s(literal 1/384 binary64) K)))
(.f64 K (.f64 #s(literal 1/384 binary64) K))
(sqrt.f64 (*.f64 #s(literal 1/147456 binary64) (pow.f64 K #s(literal 4 binary64))))
(fabs.f64 (neg.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64))))
(fabs.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)))

eval202.0ms (0.7%)

Memory: -39.1MiB live, 391.2MiB allocated
Compiler: Compiled 17 030 to 1 697 computations (90% saved)

prune184.0ms (0.7%)

Memory

-0.4MiB live, 359.8MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	325	15	340
Fresh	8	14	22
Picked	5	0	5
Done	0	1	1
Total	338	30	368

Accuracy

100.0%

Counts

368 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
	93.6%	(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	77.0%	(fma.f64 #s(approx (* (* (sinh l) (cos (/ K -2))) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
▶	93.6%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	91.3%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( (* 1/2520 l) l) 1/60) #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)
▶	60.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
	41.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
	43.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
▶	84.3%	#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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
	70.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
	41.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
	57.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	58.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	70.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	84.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) U))
	36.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
	70.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l U))
	20.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
▶	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
	21.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U)) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U) (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U)))))
	25.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
	25.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
	68.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
	34.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
	54.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	39.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
▶	19.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
	73.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	77.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))
	52.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 2 448 to 1 750 computations (28.5% saved)

simplify235.0ms (0.8%)

Memory

28.5MiB live, 563.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff	0	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #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 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
cost-diff	0	(+.f64 J J)
cost-diff	0	(*.f64 (+.f64 J J) l)
cost-diff	0	(fma.f64 (.f64 (+.f64 J J) l) (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 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
cost-diff	0	#s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
cost-diff	4	(fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64)))
cost-diff	0	(+.f64 l l)
cost-diff	0	(fma.f64 (+.f64 l l) J U)
cost-diff	0	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) 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 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) 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 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) 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 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	573
0	107	569
1	219	569
2	607	557
3	2185	557
4	6721	557
0	8708	548

Stop Event

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

Calls

Call 1

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

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

localize874.0ms (3.1%)

Memory

71.7MiB live, 1 490.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08984375	(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))))
accuracy	0.375	(*.f64 #s(literal 1/3 binary64) l)
accuracy	5.720665634946846	(.f64 J (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))
accuracy	11.158191480226956	#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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) K)
accuracy	0.0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	0.046875	(fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
accuracy	10.238758362446346	(.f64 (.f64 K K) l)
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
accuracy	26.607642334911034	#s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))
accuracy	32.42868131568474	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64)))))
accuracy	0.0	(fma.f64 (+.f64 l l) J U)
accuracy	0.0	(+.f64 l l)
accuracy	10.21932950053622	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
accuracy	25.228528720246025	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
accuracy	0.060878759768442016	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.06640625	(fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64))
accuracy	0.10546875	(.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l)
accuracy	4.978588050728246	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))

Samples

438.0ms	100×	1	valid
136.0ms	131×	0	valid
105.0ms	25×	2	valid

Compiler

Compiled 381 to 64 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 596.0ms

ival-mult: 234.0ms (39.3% of total)

adjust: 103.0ms (17.3% of total)

const: 69.0ms (11.6% of total)

ival-cos: 65.0ms (10.9% of total)

ival-add: 65.0ms (10.9% of total)

ival-exp: 48.0ms (8.1% of total)

ival-sub: 4.0ms (0.7% of total)

ival-div: 3.0ms (0.5% of total)

exact: 2.0ms (0.3% of total)

ival-neg: 2.0ms (0.3% of total)

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

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

series133.0ms (0.5%)

Memory

-10.3MiB live, 309.8MiB allocated

Counts

26 → 107

Calls

Call 1

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

Calls

12 calls:

Time	Variable		Point	Expression
33.0ms	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) (cos (* -1/2 K)) (* (+ (* (* 1/2520 l) l) 1/60) l) (+ (* (* 1/2520 l) l) 1/60) (* (* K K) l) (* -1/2 K) (* J (+ (* (* 1/3 l) l) 2)) (* 1/3 l))
13.0ms	l	@	-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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) (cos (* -1/2 K)) (* (+ (* (* 1/2520 l) l) 1/60) l) (+ (* (* 1/2520 l) l) 1/60) (* (* K K) l) (* -1/2 K) (* J (+ (* (* 1/3 l) l) 2)) (* 1/3 l))
13.0ms	l	@	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) (cos (* -1/2 K)) (* (+ (* (* 1/2520 l) l) 1/60) l) (+ (* (* 1/2520 l) l) 1/60) (* (* K K) l) (* -1/2 K) (* J (+ (* (* 1/3 l) l) 2)) (* 1/3 l))
11.0ms	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) (cos (* -1/2 K)) (* (+ (* (* 1/2520 l) l) 1/60) l) (+ (* (* 1/2520 l) l) 1/60) (* (* K K) l) (* -1/2 K) (* J (+ (* (* 1/3 l) l) 2)) (* 1/3 l))
11.0ms	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))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* 1/3 l) l) 2))) (cos (* -1/2 K)) (* (+ (* (* 1/2520 l) l) 1/60) l) (+ (* (* 1/2520 l) l) 1/60) (* (* K K) l) (* -1/2 K) (* J (+ (* (* 1/3 l) l) 2)) (* 1/3 l))

simplify441.0ms (1.6%)

Memory

-20.8MiB live, 744.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	1896
1	1309	1865
2	5952	1844
0	8240	1708

Stop Event

1×	iter limit
1×	node limit

Counts

107 → 106

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))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J l))
(* 2 J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 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 (+ (* 2 l) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ 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) (* 1/4 (* (pow K 2) l)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -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)))))))))
(* 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)))))))
(* 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))))))))
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 1/60 l)
(* l (+ 1/60 (* 1/2520 (pow l 2))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(* (pow K 2) l)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(* 1/3 l)
(- (exp l) (exp (neg l)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* 1/2520 (pow l 3))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ 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)))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -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)))))))))))
(+ (* -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))))))))))
(+ 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 (* (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)))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
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)
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(cos (* -1/2 K))
(* 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 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* -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 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))

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

rewrite782.0ms (2.8%)

Memory

61.0MiB live, 939.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	456
0	107	434
1	383	405
2	2668	405
0	8444	397

Stop Event

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

Counts

26 → 1 248

Calls

Call 1

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

Outputs
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(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J)) #s(literal 2 binary64))) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J)) #s(literal 2 binary64)) (.f64 U U)) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J)) U))
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(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J)) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J)) #s(literal 2 binary64))))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) J) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l))) J U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J) U)
(fma.f64 (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) l) l #s(literal 1/3 binary64)) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
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(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 l #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 J #s(literal 3/2 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 l #s(literal 9 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 J #s(literal 9 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 J #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 l #s(literal 6 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (.f64 J J) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 J #s(literal 3 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 l #s(literal 3 binary64)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) (.f64 l l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) l (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 #s(literal 2 binary64) l) J (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 #s(literal 2 binary64) (fabs.f64 (.f64 l J)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 l J) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 #s(literal 2 binary64) (fabs.f64 J) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 #s(literal 2 binary64) (.f64 l J) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 #s(literal 2 binary64) l (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 l l) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) J) (*.f64 #s(literal 2 binary64) l))
(fma.f64 l (.f64 (.f64 #s(literal 1/3 binary64) l) J) (*.f64 #s(literal 2 binary64) l))
(fma.f64 l (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 J (.f64 (.f64 #s(literal 1/3 binary64) l) l) (*.f64 #s(literal 2 binary64) l))
(fma.f64 J (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(fma.f64 J #s(literal 2 binary64) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J) (.f64 #s(literal -2 binary64) J))
(-.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J) (.f64 (neg.f64 J) #s(literal 2 binary64)))
(+.f64 (fma.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J J) J)
(+.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J) (.f64 #s(literal 2 binary64) l))
(+.f64 (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))
(*.f64 #s(literal 1/3 binary64) l)
(*.f64 l #s(literal 1/3 binary64))

eval409.0ms (1.5%)

Memory: 30.1MiB live, 676.0MiB allocated
Compiler: Compiled 38 617 to 3 928 computations (89.8% saved)

prune527.0ms (1.9%)

Memory

44.2MiB live, 478.8MiB allocated

Pruning

42 alts after pruning (39 fresh and 3 done)

	Pruned	Kept	Total
New	814	27	841
Fresh	12	12	24
Picked	3	2	5
Done	0	1	1
Total	829	42	871

Accuracy

100.0%

Counts

871 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
	77.0%	(fma.f64 #s(approx (* (* (sinh l) (cos (/ K -2))) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
✓	60.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
	41.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
	58.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))) l U))
	59.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (fma.f64 (.f64 l l) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))) l U))
	48.7%	#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 #s(literal 2 binary64) l)) l U))
	41.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
	57.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	58.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
	33.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
	36.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
	72.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
	58.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
	55.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
	51.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
✓	51.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
	30.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
	66.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
	50.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
	42.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
	46.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
	33.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
	47.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
	31.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
	51.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
	50.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
	30.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
	43.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
	25.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
	33.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
	26.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
	13.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
	25.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
	25.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
	68.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64)))))
	34.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
	54.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 l J) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	8.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
	22.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 l (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))) J)))))
	73.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
	77.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)))

Compiler

Compiled 4 727 to 1 689 computations (64.3% saved)

regimes673.0ms (2.4%)

Memory

-31.0MiB live, 1 287.9MiB allocated

Counts

80 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) 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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l 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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 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)) (fma.f64 (.f64 l l) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))) l 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)) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) 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 #s(approx (+ ( 1/2520 (* l l)) 1/60) #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 #s(approx (+ ( (* 1/2520 l) l) 1/60) #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 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) 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)) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) 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)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U)) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U) (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) 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 #s(approx (* (* (sinh l) (cos (/ K -2))) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J 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 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 (.f64 #s(literal 3 binary64) l))) (cos.f64 (/.f64 K #s(literal -2 binary64)))) J) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))) U)

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

Calls

10 calls:

90.0ms	J
76.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
74.0ms	U
69.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
68.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
100.0%	1	`J`
100.0%	1	`l`
100.0%	1	`K`
100.0%	1	`U`
100.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
100.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
100.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
100.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
100.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
100.0%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes1.4s (5.1%)

Memory

-48.4MiB live, 1 115.7MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) 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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l 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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 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)) (fma.f64 (.f64 l l) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))) l 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)) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) 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 #s(approx (+ ( 1/2520 (* l l)) 1/60) #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 #s(approx (+ ( (* 1/2520 l) l) 1/60) #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 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) 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)) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) 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)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2520 binary64) 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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U)) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) U) (-.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) 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 #s(approx (* (* (sinh l) (cos (/ K -2))) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)

Outputs

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

Calls

10 calls:

881.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
94.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
73.0ms	K
68.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
60.0ms	U

Results

Accuracy	Segments	Branch
93.6%	1	`J`
93.6%	1	`l`
93.6%	1	`K`
93.6%	1	`U`
93.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
93.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
93.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
93.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
93.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
93.6%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes548.0ms (2%)

Memory

72.4MiB live, 1 048.4MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) 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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l 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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 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)) (fma.f64 (.f64 l l) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))) l 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)) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) 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 #s(approx (+ ( 1/2520 (* l l)) 1/60) #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 #s(approx (+ ( (* 1/2520 l) l) 1/60) #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 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)

Outputs

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

Calls

10 calls:

71.0ms	J
61.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
55.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
49.0ms	(/.f64 K #s(literal 2 binary64))
43.0ms	U

Results

Accuracy	Segments	Branch
93.6%	1	`U`
93.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
93.6%	1	`J`
93.6%	1	`l`
93.6%	1	`K`
93.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
93.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
93.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
93.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
93.6%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes570.0ms (2%)

Memory

-39.6MiB live, 962.2MiB allocated

Counts

69 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) 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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l 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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 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)) (fma.f64 (.f64 l l) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))) l 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)) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) 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 #s(approx (+ ( 1/2520 (* l l)) 1/60) #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 #s(approx (+ ( (* 1/2520 l) l) 1/60) #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

(+.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)

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))

Calls

10 calls:

106.0ms	(/.f64 K #s(literal 2 binary64))
68.0ms	J
67.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
58.0ms	U
53.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
91.3%	1	`U`
91.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
91.3%	1	`J`
91.3%	1	`l`
91.3%	1	`K`
93.0%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
93.0%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
91.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
91.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
91.3%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes662.0ms (2.4%)

Memory

44.6MiB live, 804.3MiB allocated

Counts

66 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) 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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l 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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))) #s(literal 1 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 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)) (fma.f64 (.f64 l l) #s(literal 4 binary64) (.f64 (.f64 (.f64 #s(literal 1/3 binary64) l) l) J))) l 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)) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (*.f64 #s(literal 1/3 binary64) l) l) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 U J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) 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)

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))

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

Calls

10 calls:

261.0ms	l
70.0ms	(/.f64 K #s(literal 2 binary64))
66.0ms	J
63.0ms	K
35.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
92.5%	3	`l`
88.0%	1	`K`
88.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
88.0%	1	`(/.f64 K #s(literal 2 binary64))`
88.0%	1	`J`
89.8%	2	`U`
88.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
88.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
90.7%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
90.7%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes174.0ms (0.6%)

Memory

33.4MiB live, 269.6MiB allocated

Counts

60 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) 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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l 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 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))

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

Calls

3 calls:

78.0ms

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

55.0ms

34.0ms

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

Results

Accuracy	Segments	Branch
90.9%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
90.9%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
91.4%	3	`l`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes99.0ms (0.4%)

Memory

15.1MiB live, 117.3MiB allocated

Counts

57 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) U))

Outputs

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

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))

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

Calls

1 calls:

90.0ms

Results

Accuracy	Segments	Branch
91.4%	3	`l`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes560.0ms (2%)

Memory

-1.3MiB live, 876.6MiB allocated

Counts

56 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l 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 #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 (.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) l 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)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 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 #s(literal 2 binary64))) l U))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))

Calls

10 calls:

74.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
73.0ms	l
73.0ms	J
64.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
61.0ms	U

Results

Accuracy	Segments	Branch
90.8%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
90.8%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
83.5%	4	`J`
81.7%	3	`K`
87.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
88.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
80.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
81.7%	3	`(/.f64 K #s(literal 2 binary64))`
79.9%	3	`U`
92.3%	4	`l`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes95.0ms (0.3%)

Memory

36.6MiB live, 140.5MiB allocated

Counts

48 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) l)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (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) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 2 binary64) l)) l U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))

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

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))

Calls

2 calls:

63.0ms

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

27.0ms

(+.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
90.8%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
90.8%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 28 to 27 computations (3.6% saved)

regimes222.0ms (0.8%)

Memory

-6.5MiB live, 330.7MiB allocated

Counts

43 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal 1/384 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal -1/46080 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U)))

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))

Calls

5 calls:

77.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
51.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
38.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
27.0ms	l
22.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
79.5%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
77.5%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
77.5%	2	`l`
84.2%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
84.2%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 43 to 48 computations (-11.6% saved)

regimes55.0ms (0.2%)

Memory

15.9MiB live, 120.4MiB allocated

Counts

40 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 J J) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (fabs.f64 J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (.f64 #s(approx (+ ( (* 2 l) (cos (* 1/2 K))) (/ U J)) (/.f64 U J)) J)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) #s(literal 4 binary64)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) (fabs.f64 J)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) #s(approx (+ (* (* (* (* K K) l) J) -1/4) (* (* l J) 2)) (.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J J) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) 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 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) 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) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) #s(literal 1 binary64)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (.f64 (*.f64 l J) #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 K K) #s(literal 1/384 binary64)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.f64 (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)) K) K) #s(literal 1/8 binary64)) (.f64 K K) #s(literal 1 binary64))) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) l) (-.f64 (.f64 #s(literal 2 binary64) l) U)) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (.f64 U U))) (.f64 (-.f64 (.f64 #s(literal 2 binary64) l) U) (-.f64 (*.f64 #s(literal 2 binary64) l) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.f64 (.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) J)) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 6 binary64)) (*.f64 #s(literal 2 binary64) l) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))

Outputs

#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))

Calls

2 calls:

27.0ms

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

22.0ms

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

Results

Accuracy	Segments	Branch
80.5%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
80.5%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 28 to 27 computations (3.6% saved)

regimes591.0ms (2.1%)

Memory

-165.3MiB live, 454.7MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

68.0ms	K
64.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
48.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
31.0ms	J
26.0ms	U

Results

Accuracy	Segments	Branch
73.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
73.1%	1	`l`
74.7%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.1%	1	`U`
73.1%	1	`K`
73.1%	1	`(/.f64 K #s(literal 2 binary64))`
73.1%	1	`J`
77.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
73.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes196.0ms (0.7%)

Memory

31.1MiB live, 344.8MiB allocated

Counts

20 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

44.0ms	(/.f64 K #s(literal 2 binary64))
33.0ms	J
22.0ms	l
15.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
15.0ms	K

Results

Accuracy	Segments	Branch
73.0%	3	`l`
66.3%	1	`U`
73.0%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
69.4%	2	`J`
73.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
67.9%	2	`K`
67.9%	2	`(/.f64 K #s(literal 2 binary64))`
73.0%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
70.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes155.0ms (0.6%)

Memory

11.7MiB live, 247.8MiB allocated

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

34.0ms	U
32.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
15.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	l
13.0ms	K

Results

Accuracy	Segments	Branch
57.3%	3	`U`
58.2%	3	`K`
58.2%	3	`(/.f64 K #s(literal 2 binary64))`
63.3%	4	`J`
56.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
64.2%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
63.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
67.3%	4	`l`
66.3%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
66.3%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes24.0ms (0.1%)

Memory

60.2MiB live, 60.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

7.0ms

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

7.0ms

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

Results

Accuracy	Segments	Branch
61.3%	3	`l`
62.8%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
62.8%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 29 to 31 computations (-6.9% saved)

regimes136.0ms (0.5%)

Memory

-73.3MiB live, 138.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

10 calls:

57.0ms	U
26.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
7.0ms	J
7.0ms	l
7.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
51.7%	1	`U`
51.7%	1	`K`
51.7%	1	`(/.f64 K #s(literal 2 binary64))`
51.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
51.7%	1	`l`
51.7%	1	`J`
51.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
51.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
51.7%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
51.7%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes79.0ms (0.3%)

Memory

-12.4MiB live, 105.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

5.0ms	l
5.0ms	U
4.0ms	K
4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	(+.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
37.8%	3	`J`
33.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
33.4%	1	`K`
38.7%	3	`U`
36.0%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
33.4%	1	`(/.f64 K #s(literal 2 binary64))`
37.9%	3	`l`
33.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
36.4%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
39.3%	4	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes28.0ms (0.1%)

Memory

59.0MiB live, 59.0MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

4.0ms	(+.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))))
4.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
4.0ms	U
3.0ms	l

Results

Accuracy	Segments	Branch
33.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
33.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
33.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
33.4%	1	`J`
33.4%	1	`l`
33.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
33.4%	1	`U`

Compiler

Compiled 43 to 55 computations (-27.9% saved)

regimes42.0ms (0.1%)

Memory

-26.8MiB live, 77.9MiB 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 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))

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

Calls

10 calls:

15.0ms	K
4.0ms	U
3.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
3.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
26.0%	1	`J`
26.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
26.0%	1	`l`
26.0%	1	`K`
26.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
26.0%	1	`(/.f64 K #s(literal 2 binary64))`
26.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
26.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
26.0%	1	`U`
26.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

3.9MiB live, 3.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.361935282920078e-102	+inf

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch170.0ms (0.6%)

Memory

-13.9MiB live, 196.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
63.0ms	2.9372216939485005e+79	9.683797794658964e+85
33.0ms	378387626.27675223	11751893305.459873

Samples

73.0ms

256×

valid

Compiler

Compiled 1 228 to 967 computations (21.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-cos: 11.0ms (28.4% of total)

ival-exp: 9.0ms (23.2% of total)

ival-mult: 8.0ms (20.6% of total)

ival-div: 3.0ms (7.7% of total)

ival-add: 3.0ms (7.7% of total)

ival-sub: 2.0ms (5.2% of total)

ival-neg: 2.0ms (5.2% of total)

ival-true: 1.0ms (2.6% of total)

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

exact: 0.0ms (0% of total)

bsearch8.0ms (0%)

Memory

19.8MiB live, 19.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.9372216939485005e+79	9.683797794658964e+85
3.0ms	378387626.27675223	11751893305.459873

Compiler

Compiled 1 284 to 1 009 computations (21.4% saved)

bsearch7.0ms (0%)

Memory

14.2MiB live, 14.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
3.0ms	2.9372216939485005e+79	9.683797794658964e+85
3.0ms	378387626.27675223	11751893305.459873

Compiler

Compiled 1 284 to 1 009 computations (21.4% saved)

bsearch2.0ms (0%)

Memory

4.7MiB live, 4.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.361935282920078e-102	+inf
0.0ms	-inf	-1.2808307936583683e+193

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	6.361935282920078e-102	+inf
0.0ms	-inf	-1.2808307936583683e+193

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7561466009383025e+31	9.2326606114903e+34
0.0ms	-1.2808307936583683e+193	-3.8314684745374135e+186

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.7561466009383025e+31	9.2326606114903e+34

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08331007051540949	-0.05476584572193428

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7561466009383025e+31	9.2326606114903e+34
0.0ms	-1.2808307936583683e+193	-3.8314684745374135e+186

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	3.7561466009383025e+31	9.2326606114903e+34
0.0ms	-1.2808307936583683e+193	-3.8314684745374135e+186

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.7561466009383025e+31	9.2326606114903e+34

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch184.0ms (0.7%)

Memory

-5.3MiB live, 243.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
57.0ms	1.6452262277952264e-29	4.447588426059584e-28
117.0ms	-2.084255275782939e-215	-7.513892537897823e-227

Samples

99.0ms	196×	0	valid
46.0ms	76×	1	valid

Compiler

Compiled 1 174 to 905 computations (22.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 123.0ms

ival-exp: 85.0ms (69% of total)

ival-cos: 15.0ms (12.2% of total)

ival-mult: 8.0ms (6.5% of total)

ival-sub: 3.0ms (2.4% of total)

ival-div: 3.0ms (2.4% of total)

adjust: 3.0ms (2.4% of total)

ival-add: 3.0ms (2.4% of total)

ival-neg: 2.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

simplify135.0ms (0.5%)

Memory

37.6MiB live, 247.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	176	1698
1	241	1698
2	429	1698
3	1262	1698
4	4607	1698

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) 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)) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) (+.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) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U))))
(if (<=.f64 l #s(literal 2700000000 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) (if (<=.f64 l #s(literal 94999999999999994488169700123549150507398221570116778180359052610744099441334856712192 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(if (<=.f64 l #s(literal 2700000000 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 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U)) (if (<=.f64 l #s(literal 94999999999999994488169700123549150507398221570116778180359052610744099441334856712192 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(if (<=.f64 l #s(literal 2700000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) U)) (if (<=.f64 l #s(literal 94999999999999994488169700123549150507398221570116778180359052610744099441334856712192 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 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 6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 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 #s(literal 2 binary64))) l U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) 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 -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 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 6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U))) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) #s(literal 4 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l)) J U))) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U))) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
(if (<=.f64 U #s(literal -5730324903256125/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U))) (if (<=.f64 U #s(literal 5887396732412085/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))

Outputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) 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)) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 #s(literal 1/2520 binary64) l) l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) 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 6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) (+.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) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U))))
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(if (<=.f64 l #s(literal 2700000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) J)) (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) U)) (if (<=.f64 l #s(literal 94999999999999994488169700123549150507398221570116778180359052610744099441334856712192 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 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 6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 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 #s(literal 2 binary64))) l U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) 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 -inf.0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 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 6304320991423117/630432099142311667396464641602297820881275828327447146687172694467931548343955369782628260078158650252906047844909056 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) l) #s(literal 9 binary64)) J U))) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.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 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 #s(literal 2 binary64) l) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1080863910568919/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) #s(literal 4 binary64) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l)) J U))) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal -10000000000000000662275133196073022890814778906781692175574718614061870706920546714670378554471083956139627305190456203824330868103505742897540916997511012040520808812168041334151877325366493184 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 l l) (.f64 #s(literal 2 binary64) l) U))) (if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U)))))
(if (<=.f64 (+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 50000000000000002683081102196736 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 l l) #s(literal 4 binary64) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
(if (<=.f64 U #s(literal -5730324903256125/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U))) (if (<=.f64 U #s(literal 5887396732412085/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))))
(if (or (<=.f64 U #s(literal -5730324903256125/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584 binary64)) (not (<=.f64 U #s(literal 5887396732412085/356811923176489970264571492362373784095686656 binary64)))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))

soundness3.1s (11.2%)

Memory

66.9MiB live, 4 490.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	383
0	88	363
1	312	361
2	2224	361
0	8278	359
0	14	48
0	23	40
1	74	40
2	506	40
3	5967	40
0	8124	39
0	69	456
0	107	434
1	383	405
2	2668	405
0	8444	397
0	65	461
0	100	445
1	355	445
2	2413	445
0	8445	434
0	444	2474
1	1764	2387
2	7664	2382
0	8423	2209
0	157	783
1	604	783
2	2360	673
3	5981	673
0	8293	619

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

Compiler

Compiled 3 756 to 1 904 computations (49.3% saved)

preprocess519.0ms (1.9%)

Memory: -103.7MiB live, 1 056.2MiB allocated
Remove: (abs K)
Compiler: Compiled 3 450 to 412 computations (88.1% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample4.8s (17.1%)

explain717.0ms (2.6%)

preprocess275.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify252.0ms (0.9%)

localize985.0ms (3.5%)

series51.0ms (0.2%)

simplify541.0ms (1.9%)

rewrite438.0ms (1.6%)

eval141.0ms (0.5%)

prune55.0ms (0.2%)

simplify205.0ms (0.7%)

localize860.0ms (3.1%)

series243.0ms (0.9%)

simplify434.0ms (1.6%)

rewrite421.0ms (1.5%)

eval335.0ms (1.2%)

prune276.0ms (1%)

simplify442.0ms (1.6%)

localize643.0ms (2.3%)

series857.0ms (3.1%)

simplify328.0ms (1.2%)

rewrite351.0ms (1.3%)

eval202.0ms (0.7%)

prune184.0ms (0.7%)

simplify235.0ms (0.8%)

localize874.0ms (3.1%)

series133.0ms (0.5%)

simplify441.0ms (1.6%)

rewrite782.0ms (2.8%)

eval409.0ms (1.5%)

prune527.0ms (1.9%)

regimes673.0ms (2.4%)

regimes1.4s (5.1%)

regimes548.0ms (2%)

regimes570.0ms (2%)

regimes662.0ms (2.4%)

regimes174.0ms (0.6%)

regimes99.0ms (0.4%)

regimes560.0ms (2%)

regimes95.0ms (0.3%)

regimes222.0ms (0.8%)

regimes55.0ms (0.2%)

regimes591.0ms (2.1%)

regimes196.0ms (0.7%)

regimes155.0ms (0.6%)

regimes24.0ms (0.1%)

regimes136.0ms (0.5%)

regimes79.0ms (0.3%)

regimes28.0ms (0.1%)

regimes42.0ms (0.1%)

bsearch1.0ms (0%)

bsearch170.0ms (0.6%)

bsearch8.0ms (0%)

bsearch7.0ms (0%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch184.0ms (0.7%)

simplify135.0ms (0.5%)

soundness3.1s (11.2%)

preprocess519.0ms (1.9%)

end0.0ms (0%)

Profiling