Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.2s (17.2%)

Memory

35.3MiB live, 3 889.3MiB allocated; 585ms collecting garbage

Samples

897.0ms	1 954×	1	valid
815.0ms	6 302×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-exp: 526.0ms (36.8% of total)

ival-cos: 320.0ms (22.4% of total)

adjust: 135.0ms (9.4% of total)

ival-mult: 135.0ms (9.4% of total)

ival-add: 113.0ms (7.9% of total)

ival-div: 78.0ms (5.5% of total)

ival-sub: 59.0ms (4.1% of total)

ival-neg: 48.0ms (3.4% of total)

ival-true: 7.0ms (0.5% of total)

exact: 6.0ms (0.4% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain408.0ms (3.2%)

Memory

18.6MiB live, 418.3MiB allocated; 76ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
132	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	118	(-1.3443163421373923e-198 5.91087896711755e+202 -1.292553629073826e+51 6.61167571503939e+185)	-	`(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	118	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	36	0

Confusion

	Predicted +	Predicted -
+	35	0
-	104	117

Precision

0.2517985611510791

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	35	0	0
-	104	0	117

Precision?

0.2517985611510791

Recall?

1.0

Freqs

test

number	freq
0	117
1	124
2	15

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

105.0ms	80×	2	valid
90.0ms	182×	1	valid
40.0ms	250×	0	valid

Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-exp: 112.0ms (54.8% of total)

ival-cos: 43.0ms (21% of total)

ival-sub: 16.0ms (7.8% of total)

adjust: 12.0ms (5.9% of total)

ival-mult: 10.0ms (4.9% of total)

ival-div: 4.0ms (2% of total)

ival-add: 4.0ms (2% of total)

ival-neg: 2.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess308.0ms (2.4%)

Memory

22.8MiB live, 212.9MiB allocated; 116ms collecting garbage

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: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.7%	(+.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)

simplify206.0ms (1.6%)

Memory

0.2MiB live, 161.9MiB allocated; 103ms collecting garbage

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

localize243.0ms (1.9%)

Memory

-4.3MiB live, 163.0MiB allocated; 140ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.00390625	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.05859375	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	30.5178183570234	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

152.0ms	91×	1	valid
43.0ms	125×	0	valid
21.0ms	40×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-cos: 115.0ms (61.5% of total)

ival-exp: 54.0ms (28.9% of total)

adjust: 6.0ms (3.2% of total)

ival-mult: 5.0ms (2.7% of total)

ival-sub: 2.0ms (1.1% of total)

ival-div: 2.0ms (1.1% of total)

ival-add: 2.0ms (1.1% of total)

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

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

-22.7MiB live, 28.0MiB allocated; 9ms collecting garbage

Counts

5 → 40

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)))

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)))))))
(- (exp l) (exp (neg 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 (* -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	l	@	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)))
3.0ms	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)))
2.0ms	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)))
2.0ms	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)))
2.0ms	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)))

simplify178.0ms (1.4%)

Memory

44.7MiB live, 225.4MiB allocated; 31ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	756
1	552	756
2	2179	646
3	5634	646
0	8490	597

Stop Event

1×	iter limit
1×	node limit

Counts

40 → 39

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)))))))
(- (exp l) (exp (neg 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 (* -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)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+ 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 K K) (.f64 #s(literal -1/8 binary64) J) 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 K K) (.f64 #s(literal -1/8 binary64) J) 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 K K) (*.f64 #s(literal -1/8 binary64) J) 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 K K) (*.f64 #s(literal -1/8 binary64) J) 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 (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)))

rewrite283.0ms (2.2%)

Memory

5.3MiB live, 382.9MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	23	38
1	74	38
2	506	38
3	5967	38
0	8124	37

Stop Event

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

Counts

5 → 270

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)))

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))))
(/.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 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64))))
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(.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) J)
(/.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)))))

eval68.0ms (0.5%)

Memory: -7.7MiB live, 146.2MiB allocated; 18ms collecting garbage
Compiler: Compiled 10 922 to 1 344 computations (87.7% saved)

prune16.0ms (0.1%)

Memory

-4.8MiB live, 41.5MiB allocated; 2ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	294	10	304
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	295	10	305

Accuracy

100.0%

Counts

305 → 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)
	52.3%	(+.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)
	92.4%	(+.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)
▶	85.7%	(+.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)
	84.2%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	66.5%	(+.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)
	74.5%	#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))
▶	66.5%	#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))
▶	84.2%	#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 516 to 408 computations (20.9% saved)

simplify119.0ms (0.9%)

Memory

-8.8MiB live, 224.3MiB allocated; 17ms collecting garbage

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

localize312.0ms (2.4%)

Memory

9.7MiB live, 480.1MiB allocated; 77ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.05078125	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	0.05859375	(.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	0.06640625	(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	5.714417193642777	#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	0.046875	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy	0.05859375	(.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	0.0859375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	11.470523412680834	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0.0859375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	0.1171875	(.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	3.764966924955329	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	10.525068791307273	#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	0.0625	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy	21.400481168434798	#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	0.00390625	(.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.015625	(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
accuracy	0.05859375	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))

Samples

86.0ms	91×	1	valid
76.0ms	125×	0	valid
59.0ms	40×	2	valid

Compiler

Compiled 368 to 49 computations (86.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 179.0ms

ival-mult: 59.0ms (32.9% of total)

ival-exp: 30.0ms (16.7% of total)

adjust: 22.0ms (12.3% of total)

ival-cos: 19.0ms (10.6% of total)

const: 15.0ms (8.4% of total)

ival-add: 15.0ms (8.4% of total)

ival-div: 12.0ms (6.7% of total)

ival-sub: 2.0ms (1.1% of total)

ival-sinh: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

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

series143.0ms (1.1%)

Memory

-8.3MiB live, 168.8MiB allocated; 90ms collecting garbage

Counts

26 → 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))
(*.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 (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))

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)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 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 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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
33.0ms	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))) (* -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) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
22.0ms	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))) (* -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) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
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))) (* -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) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
6.0ms	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))) (* -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) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))
6.0ms	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))) (* -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) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60))

simplify217.0ms (1.7%)

Memory

50.0MiB live, 285.7MiB allocated; 39ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	444	2474
1	1764	2387
2	7675	2382
0	8434	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)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 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 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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)))))))))
(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 (* J (cos (* -1/2 K))))
(.f64 (.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ (* 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)))
(* 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)))
(* 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 (.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)
(* 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 (.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 l l))) 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)))))
(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 J l) #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 J l) #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)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 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))
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))
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(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)))

rewrite304.0ms (2.4%)

Memory

-9.9MiB live, 373.1MiB allocated; 79ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	379
0	88	359
1	312	357
2	2224	357
0	8278	355

Stop Event

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

Counts

26 → 392

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))
(*.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 (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))

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)))))
(+.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 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 (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)))))
(+.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) U)
(+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (sinh.f64 l))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) #s(literal 2 binary64))
(.f64 (sinh.f64 l) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (neg.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 #s(literal 2 binary64) (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))
(fma.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))
(+.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))
(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(/.f64 (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64))))
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(-.f64 #s(literal 1/3 binary64) (.f64 (neg.f64 (.f64 l l)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 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 #s(literal 1/2520 binary64) (.f64 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 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) l) (.f64 #s(literal 1/3 binary64) l)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 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 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) l) (.f64 #s(literal 1/3 binary64) l)))))
(+.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))
(+.f64 #s(literal 1/3 binary64) (.f64 (.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l))
(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (*.f64 l l)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/3600 binary64)))) (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) #s(literal 1/60 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) #s(literal 1/60 binary64)) #s(literal 1/3600 binary64))) (.f64 (-.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) #s(literal 1/60 binary64)) (-.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) #s(literal 1/60 binary64))))
(/.f64 (fma.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 l l) #s(literal 1/151200 binary64)))) (.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) #s(literal 1/216000 binary64))) (.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64)))) (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)))) (-.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (*.f64 l l))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/3600 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (*.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64))) (neg.f64 (fma.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) #s(literal 1/151200 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/3600 binary64)) (-.f64 (.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #s(literal 1/60 binary64)))
(/.f64 (fma.f64 #s(literal 1/16003008000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/216000 binary64)) (+.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(/.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 l l) #s(literal 1/151200 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 #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 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 l) #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(fma.f64 l (fabs.f64 (*.f64 (neg.f64 l) #s(literal 1/2520 binary64))) #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 #s(literal 1/3600 binary64) (-.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 l l)))) (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (*.f64 l l)))))
(-.f64 (/.f64 (.f64 #s(literal 1/6350400 binary64) (pow.f64 l #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) #s(literal 1/60 binary64))) (/.f64 #s(literal 1/3600 binary64) (-.f64 (.f64 #s(literal 1/2520 binary64) (*.f64 l l)) #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 (.f64 l l)) #s(literal 1/2520 binary64)))
(+.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 l l) #s(literal 1/151200 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 l l) #s(literal 1/151200 binary64))))))
(+.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l l)) #s(literal 1/60 binary64))
(+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 l l)))

eval84.0ms (0.7%)

Memory: -13.8MiB live, 174.0MiB allocated; 16ms collecting garbage
Compiler: Compiled 23 746 to 2 676 computations (88.7% saved)

prune40.0ms (0.3%)

Memory

-11.8MiB live, 79.2MiB allocated; 7ms collecting garbage

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	540	29	569
Fresh	5	0	5
Picked	5	0	5
Done	0	0	0
Total	550	29	579

Accuracy

100.0%

Counts

579 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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)
▶	66.5%	(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)
	74.5%	(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)
	92.4%	(+.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)
	85.7%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	56.0%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (* l l) 1/3) 2) l) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	66.5%	#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))
	56.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
	46.8%	#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 (.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))) U))
	43.2%	#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))
	47.7%	#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 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
	84.2%	#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))
	71.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) #s(approx (* J (+ (* (* l l) 1/3) 2)) (.f64 (.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
	57.6%	#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))
▶	54.0%	#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))
	60.8%	#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))
	69.5%	#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))
	36.0%	#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))
	38.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 J l))) K) K (.f64 #s(literal -1/4 binary64) (.f64 J l))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
	45.3%	#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 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
▶	56.7%	#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)))
	70.5%	#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 (.f64 J l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)))
	27.8%	#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)))))
▶	72.3%	#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)))))
	70.6%	#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)))
	77.0%	#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)))
	47.0%	#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)))))
	88.6%	#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 (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)))))

Compiler

Compiled 2 338 to 1 712 computations (26.8% saved)

simplify133.0ms (1%)

Memory

58.0MiB live, 191.0MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	587
0	112	587
1	229	587
2	642	587
3	2219	587
4	7056	587
0	8533	580

Stop Event

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

Calls

Call 1

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

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

localize597.0ms (4.7%)

Memory

-68.7MiB live, 726.1MiB allocated; 284ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U))
accuracy	3.5886280635114307	(.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)))
accuracy	4.623173214208549	(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)))
accuracy	21.400481168434798	#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)))))
accuracy	0.00390625	(.f64 #s(approx ( (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)) #s(literal 2 binary64))
accuracy	0.015625	(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)
accuracy	0.09375	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l)
accuracy	29.42213148950585	#s(approx (* (sinh l) (cos (/ K -2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) l))
accuracy	0.19140625	(.f64 #s(literal 1/384 binary64) (.f64 K K))
accuracy	3.764966924955329	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	10.525068791307273	#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))
accuracy	29.652862066883667	#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	11.793628522983056	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
accuracy	21.400481168434798	#s(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 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	0.06640625	(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	0.09375	(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)
accuracy	5.714417193642777	#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))

Samples

223.0ms	125×	0	valid
192.0ms	91×	1	valid
82.0ms	40×	2	valid

Compiler

Compiled 403 to 73 computations (81.9% saved)

Precisions

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

ival-div: 145.0ms (35.7% of total)

ival-mult: 88.0ms (21.7% of total)

adjust: 58.0ms (14.3% of total)

ival-exp: 26.0ms (6.4% of total)

ival-cos: 26.0ms (6.4% of total)

ival-add: 23.0ms (5.7% of total)

ival-sub: 17.0ms (4.2% of total)

const: 16.0ms (3.9% of total)

ival-neg: 2.0ms (0.5% of total)

ival-sinh: 2.0ms (0.5% of total)

exact: 1.0ms (0.2% of total)

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

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

series69.0ms (0.5%)

Memory

35.1MiB live, 134.5MiB allocated; 14ms collecting garbage

Counts

27 → 147

Calls

Call 1

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

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (cos (* 1/2 K)))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 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)))
(* 2 (* J l))
(* 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)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (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 (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp 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)))))))))
(* 2 l)
(+ 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)))))
(+ 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 (cos (* 1/2 K)))
(* 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
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(/ (* l (cos (* 1/2 K))) U)
(* 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)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 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))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -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))))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/2 K)
(+ U (+ (* -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))))))))))
(+ 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)))
(* 1/2 (- (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)))))))))
l
(+ l (* -1/8 (* (pow K 2) l)))
(+ l (* (pow K 2) (+ (* -1/8 l) (* 1/384 (* (pow K 2) l)))))
(+ l (* (pow K 2) (+ (* -1/8 l) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) l)) (* 1/384 l))))))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* -1/4 (* J (* (pow K 2) l))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 1/384 (pow K 2))
(* -2 (/ (* J l) U))
(+ (* -2 (/ (* J l) U)) (* 1/4 (/ (* J (* (pow K 2) l)) U)))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J (* (pow K 2) l)) U)) (* 1/4 (/ (* J l) U)))))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* 1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J l) U)) (* 1/23040 (/ (* J (* (pow K 2) l)) U)))))))
(/ l U)
(+ (* -1/8 (/ (* (pow K 2) l) U)) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* 1/384 (/ (* (pow K 2) l) U)))) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) l) U)) (* 1/384 (/ l U)))))) (/ l U))
(cos (* 1/2 K))
(cos (* -1/2 K))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) 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 (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
8.0ms	l	@	0	((+ (* (* (cos (/ K 2)) J) (- (exp l) (exp (neg l)))) U) (* (cos (/ K 2)) J) (cos (/ K 2)) (/ K 2) (+ (* (* 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) (+ (* (* (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)) (+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (* (cos (* 1/2 K)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (- (exp l) (exp (neg l))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (* J (+ (* (* l l) 1/3) 2)) (* 1/384 (* K K)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (cos (* 1/2 K)) (/ l U)))
6.0ms	K	@	0	((+ (* (* (cos (/ K 2)) J) (- (exp l) (exp (neg l)))) U) (* (cos (/ K 2)) J) (cos (/ K 2)) (/ K 2) (+ (* (* 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) (+ (* (* (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)) (+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (* (cos (* 1/2 K)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (- (exp l) (exp (neg l))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (* J (+ (* (* l l) 1/3) 2)) (* 1/384 (* K K)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (cos (* 1/2 K)) (/ l U)))
6.0ms	l	@	-inf	((+ (* (* (cos (/ K 2)) J) (- (exp l) (exp (neg l)))) U) (* (cos (/ K 2)) J) (cos (/ K 2)) (/ K 2) (+ (* (* 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) (+ (* (* (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)) (+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (* (cos (* 1/2 K)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (- (exp l) (exp (neg l))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (* J (+ (* (* l l) 1/3) 2)) (* 1/384 (* K K)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (cos (* 1/2 K)) (/ l U)))
6.0ms	K	@	inf	((+ (* (* (cos (/ K 2)) J) (- (exp l) (exp (neg l)))) U) (* (cos (/ K 2)) J) (cos (/ K 2)) (/ K 2) (+ (* (* 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) (+ (* (* (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)) (+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (* (cos (* 1/2 K)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (- (exp l) (exp (neg l))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (* J (+ (* (* l l) 1/3) 2)) (* 1/384 (* K K)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (cos (* 1/2 K)) (/ l U)))
6.0ms	l	@	inf	((+ (* (* (cos (/ K 2)) J) (- (exp l) (exp (neg l)))) U) (* (cos (/ K 2)) J) (cos (/ K 2)) (/ K 2) (+ (* (* 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) (+ (* (* (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)) (+ (* (* (* (sinh l) (cos (/ K -2))) 2) J) U) (* (* (sinh l) (cos (/ K -2))) 2) (* (sinh l) (cos (/ K -2))) (* (cos (* 1/2 K)) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (- (exp l) (exp (neg l))) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (+ (* 1/2520 (* l l)) 1/60) (* J (+ (* (* l l) 1/3) 2)) (* 1/384 (* K K)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (cos (* 1/2 K)) (/ l U)))

simplify157.0ms (1.2%)

Memory

3.3MiB live, 189.8MiB allocated; 46ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	510	2652
1	1967	2552
0	8260	2370

Stop Event

1×	iter limit
1×	node limit

Counts

147 → 144

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (cos (* 1/2 K)))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 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)))
(* 2 (* J l))
(* 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)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (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 (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp 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)))))))))
(* 2 l)
(+ 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)))))
(+ 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 (cos (* 1/2 K)))
(* 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
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(/ (* l (cos (* 1/2 K))) U)
(* 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)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* 1/2 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(- (exp l) (exp (neg l)))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 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))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -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))))))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(- (exp l) (exp (* -1 l)))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* 1/2 K)
(+ U (+ (* -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))))))))))
(+ 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)))
(* 1/2 (- (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)))))))))
l
(+ l (* -1/8 (* (pow K 2) l)))
(+ l (* (pow K 2) (+ (* -1/8 l) (* 1/384 (* (pow K 2) l)))))
(+ l (* (pow K 2) (+ (* -1/8 l) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) l)) (* 1/384 l))))))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* -1/4 (* J (* (pow K 2) l))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 1/384 (pow K 2))
(* -2 (/ (* J l) U))
(+ (* -2 (/ (* J l) U)) (* 1/4 (/ (* J (* (pow K 2) l)) U)))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J (* (pow K 2) l)) U)) (* 1/4 (/ (* J l) U)))))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* 1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J l) U)) (* 1/23040 (/ (* J (* (pow K 2) l)) U)))))))
(/ l U)
(+ (* -1/8 (/ (* (pow K 2) l) U)) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* 1/384 (/ (* (pow K 2) l) U)))) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) l) U)) (* 1/384 (/ l U)))))) (/ l U))
(cos (* 1/2 K))
(cos (* -1/2 K))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) 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 (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(* J (cos (* 1/2 K)))
(.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) 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)
(+ 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)))
(+ 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 (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (+ 2 (* 1/3 (pow l 2))))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (/.f64 l U)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (+ (* (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 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)
(* 2 (* J l))
(.f64 (.f64 l J) #s(literal 2 binary64))
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
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(+ 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 (.f64 #s(literal 1/384 binary64) J) l) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 #s(literal -1/46080 binary64) J) (.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) K) K))) (.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 #s(literal -1/8 binary64) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (.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 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) J) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) K) K))) (.f64 K K))) (.f64 K K) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (.f64 (.f64 (*.f64 K K) #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) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (.f64 #s(literal 1/384 binary64) J) (.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) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/46080 binary64) J) (.f64 (.f64 K K) (-.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 (.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))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(fma.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (.f64 K K) (.f64 #s(literal -1/8 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))
(.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)))
(+ (* 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))))))))
(fma.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/768 binary64) (.f64 K K) #s(literal -1/16 binary64))) (.f64 K K) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64)))
(+ (* 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)))))))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/16 binary64) (.f64 K K) #s(literal 1/2 binary64)) (.f64 (.f64 (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/92160 binary64) (.f64 K K) #s(literal 1/768 binary64))) (.f64 K K)) (*.f64 K K)))
l
(+ l (* -1/8 (* (pow K 2) l)))
(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l)
(+ l (* (pow K 2) (+ (* -1/8 l) (* 1/384 (* (pow K 2) l)))))
(fma.f64 (.f64 l (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) l)
(+ l (* (pow K 2) (+ (* -1/8 l) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) l)) (* 1/384 l))))))
(fma.f64 (fma.f64 (.f64 (.f64 l (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) K) K (.f64 #s(literal -1/8 binary64) l)) (*.f64 K K) l)
(* -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) U)) 1))) (* -1/4 (* J (* (pow K 2) l))))
(fma.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) l)) J (.f64 (neg.f64 U) (-.f64 (.f64 (/.f64 (.f64 l J) U) #s(literal -2 binary64)) #s(literal 1 binary64))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (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 (neg.f64 U) (-.f64 (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)) #s(literal 1 binary64))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(fma.f64 (neg.f64 U) (-.f64 (.f64 (/.f64 (.f64 l J) U) #s(literal -2 binary64)) #s(literal 1 binary64)) (.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)))
(* 1/384 (pow K 2))
(.f64 #s(literal 1/384 binary64) (.f64 K K))
(* -2 (/ (* J l) U))
(.f64 (/.f64 (.f64 l J) U) #s(literal -2 binary64))
(+ (* -2 (/ (* J l) U)) (* 1/4 (/ (* J (* (pow K 2) l)) U)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 (*.f64 #s(literal -2 binary64) J) l)) U)
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J (* (pow K 2) l)) U)) (* 1/4 (/ (* J l) U)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 l J) (.f64 #s(literal -1/192 binary64) (.f64 (.f64 (.f64 K K) l) J))) U) (.f64 K K) (.f64 (/.f64 (.f64 l J) U) #s(literal -2 binary64)))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* 1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J l) U)) (* 1/23040 (/ (* J (* (pow K 2) l)) U)))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) J) (/.f64 l U) (.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))) U) (.f64 K K))) (.f64 K K) (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)))
(/ l U)
(/.f64 l U)
(+ (* -1/8 (/ (* (pow K 2) l) U)) (/ l U))
(/.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l) U)
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* 1/384 (/ (* (pow K 2) l) U)))) (/ l U))
(fma.f64 (/.f64 (.f64 l (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) U) (*.f64 K K) (/.f64 l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) l) U)) (* 1/384 (/ l U)))))) (/ l U))
(fma.f64 (fma.f64 (.f64 (/.f64 (.f64 l (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) U) K) K (.f64 (/.f64 l U) #s(literal -1/8 binary64))) (*.f64 K K) (/.f64 l U))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(.f64 (-.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)) (neg.f64 U))
(* -1 U)
(neg.f64 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 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 l U) (.f64 #s(literal 2 binary64) J) #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)
(* 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 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(.f64 (fma.f64 (.f64 (.f64 l J) (cos.f64 (.f64 #s(literal -1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(.f64 (-.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)) (neg.f64 U))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(.f64 (-.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)) (neg.f64 U))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(.f64 (-.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)) (neg.f64 U))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(.f64 (-.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)) (neg.f64 U))

rewrite228.0ms (1.8%)

Memory

-11.5MiB live, 299.8MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	451
0	112	441
1	401	441
2	2784	441
0	9467	434

Stop Event

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

Counts

27 → 263

Calls

Call 1

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

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

eval118.0ms (0.9%)

Memory: 16.7MiB live, 171.8MiB allocated; 14ms collecting garbage
Compiler: Compiled 20 377 to 2 014 computations (90.1% saved)

prune41.0ms (0.3%)

Memory

-27.7MiB live, 66.2MiB allocated; 14ms collecting garbage

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	387	15	402
Fresh	13	11	24
Picked	3	2	5
Done	0	0	0
Total	403	28	431

Accuracy

100.0%

Counts

431 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(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)
	48.8%	(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (fma.f64 (.f64 (.f64 l (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) K) K (.f64 #s(literal -1/8 binary64) l)) (*.f64 K K) l))) #s(literal 2 binary64)) J U)
	45.6%	(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (.f64 l (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) l))) #s(literal 2 binary64)) J U)
	49.9%	(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l))) #s(literal 2 binary64)) J U)
	68.3%	(fma.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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)
	76.5%	(fma.f64 (.f64 #s(approx (cos (/ K 2)) #s(literal 1 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)
	74.5%	(fma.f64 #s(approx (* (* (sinh l) (cos (/ K -2))) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
▶	66.5%	#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))
	56.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
	46.8%	#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 (.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))) U))
	43.2%	#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))
▶	47.7%	#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 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
	60.8%	#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))
	69.5%	#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))
	21.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
▶	56.7%	#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)))
	32.3%	#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 (pow.f64 (.f64 l J) #s(literal 2 binary64)) #s(literal 4 binary64) (.f64 (neg.f64 U) U)) (-.f64 (.f64 (.f64 l #s(literal 2 binary64)) J) U))))
	72.3%	#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 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) U)) #s(literal 1 binary64)))))
✓	72.3%	#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)))))
▶	55.4%	#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) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l) U))) #s(literal 1 binary64)))))
	40.3%	#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 #s(approx ( (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) J) (/.f64 l U) (.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))) U) (.f64 K K))) (.f64 K K) (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)))) #s(literal 1 binary64)))))
	60.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 l U) (.f64 #s(literal 2 binary64) J) #s(literal 1 binary64)) U))))
	53.7%	#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) l (/.f64 U J)) J))))
	18.4%	#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 (.f64 l J) #s(literal 2 binary64)))))
	70.6%	#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)))
	77.0%	#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)))
▶	88.6%	#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 (.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)) (neg.f64 U))))
	47.0%	#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 2 261 to 1 648 computations (27.1% saved)

simplify108.0ms (0.8%)

Memory

32.8MiB live, 124.1MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	661
0	108	657
1	213	657
2	538	657
3	1841	657
4	6057	657
0	8079	645

Stop Event

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

Calls

Call 1

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

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

localize284.0ms (2.2%)

Memory

-0.7MiB live, 292.8MiB allocated; 67ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) K)
accuracy	0.0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	0.0625	(fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
accuracy	21.400481168434798	#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	4.046909321323391	(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l)
accuracy	4.623173214208549	(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l) U)))
accuracy	21.400481168434798	#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) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l) U))) #s(literal 1 binary64)))))
accuracy	26.556078818737163	#s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l) U))
accuracy	0.01171875	(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
accuracy	0.0625	(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)
accuracy	21.400481168434798	#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))
accuracy	29.48572732546084	#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (+.f64 l l) J U)
accuracy	0.0	(+.f64 l l)
accuracy	11.793628522983056	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
accuracy	21.400481168434798	#s(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	1.4400971423128461	(.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
accuracy	2.8697809000204066	(.f64 (-.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)) (neg.f64 U))
accuracy	5.15675547267429	(/.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))
accuracy	10.525068791307273	#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 (.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)) (neg.f64 U))))

Samples

96.0ms	196×	0	valid
95.0ms	60×	1	valid

Compiler

Compiled 425 to 62 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-exp: 46.0ms (29.1% of total)

ival-mult: 44.0ms (27.8% of total)

ival-cos: 19.0ms (12% of total)

ival-div: 15.0ms (9.5% of total)

adjust: 11.0ms (7% of total)

ival-add: 11.0ms (7% of total)

ival-sub: 4.0ms (2.5% of total)

const: 4.0ms (2.5% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series117.0ms (0.9%)

Memory

11.1MiB live, 141.9MiB allocated; 35ms collecting garbage

Counts

28 → 105

Calls

Call 1

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

Outputs
(* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -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)))))
(* -2 (/ (* J (* l (cos (* -1/2 K)))) U))
(* l (+ (* -2 (/ (* J (cos (* -1/2 K))) U)) (* -1/3 (/ (* J (* (pow l 2) (cos (* -1/2 K)))) U))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(/ (* l (cos (* 1/2 K))) U)
(* l (+ 1 (* -1/8 (pow K 2))))
(* -1/3 (/ (* J (* (pow l 3) (cos (* -1/2 K)))) U))
(* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (* U (pow l 2)))) (* -1/3 (/ (* J (cos (* -1/2 K))) U))))
(* 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)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* -1 (* (pow l 3) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) U)) (* 2 (/ (* J (cos (* -1/2 K))) (* U (pow l 2)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 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))))))))
(* -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 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))
(+ (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* 1/8 (/ (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) U)))
(+ (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* (pow K 2) (+ (* -1/384 (/ (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) U)) (* 1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))))
(+ (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* (pow K 2) (+ (* 1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* (pow K 2) (+ (* -1/384 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* 1/46080 (/ (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) U)))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* 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 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(+ (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1))) (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))
(+ (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1))) (* (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))))))))))
(+ (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1))) (* (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)))))))))))
(+ 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 (* U (- (* -2 (/ (* J l) U)) 1)))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* -1/4 (* J (* (pow K 2) l))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(/ l U)
(+ (* -1/8 (/ (* (pow K 2) l) U)) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* 1/384 (/ (* (pow K 2) l) U)))) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) l) U)) (* 1/384 (/ l U)))))) (/ l U))
(* -2 (/ (* J l) U))
(+ (* -2 (/ (* J l) U)) (* 1/4 (/ (* J (* (pow K 2) l)) U)))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J (* (pow K 2) l)) U)) (* 1/4 (/ (* J l) U)))))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* 1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J l) U)) (* 1/23040 (/ (* J (* (pow K 2) l)) U)))))))
l
(+ l (* -1/8 (* (pow K 2) l)))
(* -1/2 K)
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(cos (* -1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* -1/8 (* (pow K 2) l))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
(* -1 U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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))))
(* -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)))

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	K	@	-inf	((/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (- (/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) 1) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l 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) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K)) (+ (* (* K K) -1/8) 1) (* (cos (* 1/2 K)) (/ l U)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (+ (* (* K K) -1/8) 1) l) (cos (* -1/2 K)) (* -1/2 K))
20.0ms	l	@	0	((/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (- (/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) 1) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l 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) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K)) (+ (* (* K K) -1/8) 1) (* (cos (* 1/2 K)) (/ l U)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (+ (* (* K K) -1/8) 1) l) (cos (* -1/2 K)) (* -1/2 K))
15.0ms	J	@	inf	((/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (- (/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) 1) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l 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) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K)) (+ (* (* K K) -1/8) 1) (* (cos (* 1/2 K)) (/ l U)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (+ (* (* K K) -1/8) 1) l) (cos (* -1/2 K)) (* -1/2 K))
6.0ms	J	@	0	((/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (- (/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) 1) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l 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) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K)) (+ (* (* K K) -1/8) 1) (* (cos (* 1/2 K)) (/ l U)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (+ (* (* K K) -1/8) 1) l) (cos (* -1/2 K)) (* -1/2 K))
5.0ms	l	@	inf	((/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (- (/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) 1) (neg U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l 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) (* (neg U) (- (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) 1)) (neg U) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K)) (+ (* (* K K) -1/8) 1) (* (cos (* 1/2 K)) (/ l U)) (* (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (* (+ (* (* K K) -1/8) 1) l) (cos (* -1/2 K)) (* -1/2 K))

simplify179.0ms (1.4%)

Memory

-34.0MiB live, 260.9MiB allocated; 35ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	380	2066
1	1380	2039
2	6089	2014
0	8241	1874

Stop Event

1×	iter limit
1×	node limit

Counts

105 → 103

Calls

Call 1

Inputs
(* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* -2 (/ (* J (* l (cos (* 1/2 K)))) U))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg 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)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -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)))))
(* -2 (/ (* J (* l (cos (* -1/2 K)))) U))
(* l (+ (* -2 (/ (* J (cos (* -1/2 K))) U)) (* -1/3 (/ (* J (* (pow l 2) (cos (* -1/2 K)))) U))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(/ (* l (cos (* 1/2 K))) U)
(* l (+ 1 (* -1/8 (pow K 2))))
(* -1/3 (/ (* J (* (pow l 3) (cos (* -1/2 K)))) U))
(* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (* U (pow l 2)))) (* -1/3 (/ (* J (cos (* -1/2 K))) U))))
(* 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)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* -1 (* (pow l 3) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) U)) (* 2 (/ (* J (cos (* -1/2 K))) (* U (pow l 2)))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 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))))))))
(* -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 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U))
(+ (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* 1/8 (/ (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) U)))
(+ (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* (pow K 2) (+ (* -1/384 (/ (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) U)) (* 1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))))
(+ (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* (pow K 2) (+ (* 1/8 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* (pow K 2) (+ (* -1/384 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) (* 1/46080 (/ (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))) U)))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* 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 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(+ (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1))) (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))))
(+ (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1))) (* (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))))))))))
(+ (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1))) (* (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)))))))))))
(+ 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 (* U (- (* -2 (/ (* J l) U)) 1)))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* -1/4 (* J (* (pow K 2) l))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* -1 (* U (- (* -2 (/ (* J l) U)) 1))) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(/ l U)
(+ (* -1/8 (/ (* (pow K 2) l) U)) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* 1/384 (/ (* (pow K 2) l) U)))) (/ l U))
(+ (* (pow K 2) (+ (* -1/8 (/ l U)) (* (pow K 2) (+ (* -1/46080 (/ (* (pow K 2) l) U)) (* 1/384 (/ l U)))))) (/ l U))
(* -2 (/ (* J l) U))
(+ (* -2 (/ (* J l) U)) (* 1/4 (/ (* J (* (pow K 2) l)) U)))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J (* (pow K 2) l)) U)) (* 1/4 (/ (* J l) U)))))
(+ (* -2 (/ (* J l) U)) (* (pow K 2) (+ (* 1/4 (/ (* J l) U)) (* (pow K 2) (+ (* -1/192 (/ (* J l) U)) (* 1/23040 (/ (* J (* (pow K 2) l)) U)))))))
l
(+ l (* -1/8 (* (pow K 2) l)))
(* -1/2 K)
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(cos (* -1/2 K))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* -1/8 (* (pow K 2) l))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
(* -1 U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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))))
(* -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)))

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

rewrite239.0ms (1.9%)

Memory

17.4MiB live, 291.6MiB allocated; 51ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	520
0	108	502
1	364	483
2	2492	483
0	8767	473

Stop Event

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

Counts

28 → 1 469

Calls

Call 1

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

Outputs
(.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (.f64 J (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)))
(.f64 #s(literal 1 binary64) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (.f64 J (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l))))
(.f64 (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (.f64 J (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l))) #s(literal 1 binary64))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) (neg.f64 U)))
(.f64 (.f64 J (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l)) (.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) #s(literal 1 binary64)))
(.f64 (.f64 J (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l)) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))
(.f64 J (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l) (/.f64 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (neg.f64 U)))
(.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) l) (.f64 J (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(.f64 (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 J l) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(/.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64)) (.f64 J l))) (.f64 U (-.f64 (.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64))))
(/.f64 (.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) K (PI.f64))) (.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 8 binary64)) (.f64 J l))) (.f64 U (fma.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 4 binary64) (.f64 (.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 4 binary64)) (.f64 J l))) (.f64 (neg.f64 U) (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) #s(literal 2 binary64))))
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#s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U))
(.f64 (.f64 #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) #s(literal -2 binary64)) J)
(.f64 (.f64 #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) J) #s(literal -2 binary64))
(.f64 (.f64 #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) (*.f64 #s(literal -2 binary64) J)) #s(literal 1 binary64))
(.f64 #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) (.f64 (.f64 #s(literal -2 binary64) J) #s(literal 1 binary64)))
(.f64 #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) (*.f64 #s(literal -2 binary64) J))
(.f64 (.f64 #s(literal -2 binary64) J) (.f64 #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) #s(literal 1 binary64)))
(.f64 (.f64 #s(literal -2 binary64) J) #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)))
(.f64 #s(literal -2 binary64) (.f64 (.f64 #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) J) #s(literal 1 binary64)))
(.f64 #s(literal -2 binary64) (.f64 #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) J))
(.f64 #s(literal 1 binary64) (.f64 #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U)) (*.f64 #s(literal -2 binary64) J)))
(.f64 J (.f64 #s(literal -2 binary64) #s(approx (* (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l) U))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)) l)
(.f64 l (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))
(/.f64 (.f64 l (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)))
(/.f64 (.f64 l (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64))) #s(literal 1 binary64)) l) (-.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 K #s(literal 6 binary64)) #s(literal 1 binary64)) l) (fma.f64 #s(literal 1/64 binary64) (pow.f64 K #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) l (*.f64 #s(literal 1 binary64) l))
(fma.f64 #s(literal 1 binary64) l (.f64 (.f64 #s(literal -1/8 binary64) (*.f64 K K)) l))
(fma.f64 l (.f64 #s(literal -1/8 binary64) (.f64 K K)) (*.f64 l #s(literal 1 binary64)))
(fma.f64 l #s(literal 1 binary64) (.f64 l (.f64 #s(literal -1/8 binary64) (*.f64 K K))))
(+.f64 (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) l) (.f64 #s(literal 1 binary64) l))
(+.f64 (.f64 #s(literal 1 binary64) l) (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) l))
(+.f64 (.f64 l (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 l #s(literal 1 binary64)))
(+.f64 (.f64 l #s(literal 1 binary64)) (.f64 l (.f64 #s(literal -1/8 binary64) (.f64 K K))))
(fma.f64 (sin.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 K #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) K))))
(sin.f64 (fma.f64 K #s(literal -1/2 binary64) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 K #s(literal -1/2 binary64)))))
(+.f64 (.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 #s(literal 0 binary64) (sin.f64 (.f64 #s(literal 1/2 binary64) K))))
(+.f64 (.f64 (sin.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(+.f64 (.f64 (sin.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 0 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) #s(literal 1 binary64)))
(*.f64 (neg.f64 K) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (neg.f64 K))
(*.f64 K #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) K)
(neg.f64 (*.f64 #s(literal 1/2 binary64) K))

eval115.0ms (0.9%)

Memory: -7.6MiB live, 148.2MiB allocated; 16ms collecting garbage
Compiler: Compiled 31 811 to 3 256 computations (89.8% saved)

prune66.0ms (0.5%)

Memory

16.4MiB live, 118.4MiB allocated; 5ms collecting garbage

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	606	26	632
Fresh	5	16	21
Picked	3	2	5
Done	0	2	2
Total	614	46	660

Accuracy

100.0%

Counts

660 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.5%	(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)
	48.8%	(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (fma.f64 (.f64 (.f64 l (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) K) K (.f64 #s(literal -1/8 binary64) l)) (*.f64 K K) l))) #s(literal 2 binary64)) J U)
	45.6%	(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (.f64 l (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) l))) #s(literal 2 binary64)) J U)
	49.9%	(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l))) #s(literal 2 binary64)) J U)
	68.3%	(fma.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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)
	76.5%	(fma.f64 (.f64 #s(approx (cos (/ K 2)) #s(literal 1 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)
	74.5%	(fma.f64 #s(approx (* (* (sinh l) (cos (/ K -2))) 2) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) J U)
	56.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (sin.f64 (fma.f64 #s(literal 1/2 binary64) K (/.f64 (PI.f64) #s(literal 2 binary64)))) U))
✓	66.5%	#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))
	46.8%	#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 (.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))) U))
	43.2%	#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))
	45.6%	#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)) #s(approx (+ (* (* K K) -1/8) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) U))
	34.5%	#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)) #s(approx (+ (* (* K K) -1/8) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) U))
	60.8%	#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))
	47.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.f64 J #s(literal 2 binary64))) l U))
	30.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U))
	26.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U))
	21.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
	57.5%	#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 (*.f64 J l) #s(literal 3 binary64)) #s(literal 8 binary64) 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 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
✓	56.7%	#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)))
	34.2%	#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 J J) J U)))
	53.1%	#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 l l) (*.f64 J #s(literal 2 binary64))) J U)))
	54.1%	#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 l l) #s(literal 4 binary64)) J U)))
	40.5%	#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 J l) #s(literal 2 binary64)) J U)))
	33.9%	#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 J J) #s(literal 4 binary64)) J U)))
	34.8%	#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 #s(literal 2 binary64)) (fabs.f64 J)) J U)))
	33.9%	#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 (fabs.f64 J) #s(literal 2 binary64)) J U)))
	47.9%	#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 l l) #s(literal 4 binary64) U)))
	34.2%	#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 J J) #s(literal 4 binary64) U)))
	49.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 J l)) #s(literal 2 binary64) U)))
	30.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
	36.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
	30.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
	16.1%	#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 J #s(literal 2 binary64) (.f64 (neg.f64 U) U)) (-.f64 (.f64 J #s(literal 2 binary64)) U))))
	72.3%	#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 (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) l) U)) #s(literal 1 binary64)))))
✓	72.3%	#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)))))
	39.1%	#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) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 #s(approx (+ ( (* K K) -1/8) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64))) l) U))) #s(literal 1 binary64)))))
	56.1%	#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) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 #s(approx (* (+ (* (* K K) -1/8) 1) l) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) l (/.f64 l (*.f64 K K))) K) K)) U))) #s(literal 1 binary64)))))
	40.3%	#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 #s(approx ( (* -2 J) (* (cos (* 1/2 K)) (/ l U))) (fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) J) (/.f64 l U) (.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))) U) (.f64 K K))) (.f64 K K) (.f64 (/.f64 (*.f64 l J) U) #s(literal -2 binary64)))) #s(literal 1 binary64)))))
	53.7%	#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 #s(literal 2 binary64) l (/.f64 U J)) J))))
	18.4%	#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 (.f64 l J) #s(literal 2 binary64)))))
	70.6%	#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)))
	77.0%	#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)))
	73.4%	#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 #s(approx (/ ( (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (/.f64 l U)) J)) #s(literal 1 binary64)) (neg.f64 U))))
	47.0%	#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 5 011 to 1 878 computations (62.5% saved)

regimes244.0ms (1.9%)

Memory

3.0MiB live, 318.7MiB allocated; 37ms collecting garbage

Counts

81 → 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)))
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#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 #s(approx (- (exp l) (exp (neg l))) #s(approx (* (+ (* (* l l) 1/3) 2) l) (.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) 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:

35.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
32.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
31.0ms	J
23.0ms	K
22.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

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

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes326.0ms (2.5%)

Memory

-10.0MiB live, 314.5MiB allocated; 68ms collecting garbage

Counts

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

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

(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 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:

100.0ms	l
51.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
40.0ms	(/.f64 K #s(literal 2 binary64))
24.0ms	J
20.0ms	(+.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
93.6%	1	`(/.f64 K #s(literal 2 binary64))`
93.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
93.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
93.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
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 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
93.6%	1	`J`
96.9%	3	`l`
93.6%	1	`K`
93.6%	1	`U`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes171.0ms (1.3%)

Memory

-22.5MiB live, 307.4MiB allocated; 37ms collecting garbage

Counts

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

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

7 calls:

47.0ms	K
23.0ms	(/.f64 K #s(literal 2 binary64))
22.0ms	J
21.0ms	l
18.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

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

Compiler

Compiled 17 to 37 computations (-117.6% saved)

regimes184.0ms (1.4%)

Memory

31.0MiB live, 319.8MiB allocated; 26ms collecting garbage

Counts

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

Calls

10 calls:

21.0ms	J
20.0ms	U
19.0ms	l
19.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
18.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
92.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.4%	1	`(/.f64 K #s(literal 2 binary64))`
92.4%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
92.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
92.4%	1	`J`
92.4%	1	`l`
92.4%	1	`K`
92.4%	1	`U`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes272.0ms (2.1%)

Memory

-38.0MiB live, 249.5MiB allocated; 25ms collecting garbage

Counts

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

(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 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:

65.0ms	(/.f64 K #s(literal 2 binary64))
42.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
20.0ms	l
19.0ms	J

Results

Accuracy	Segments	Branch
91.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
87.9%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
87.9%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
87.4%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
87.4%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
85.7%	1	`J`
93.8%	5	`l`
85.7%	1	`U`
90.9%	2	`(/.f64 K #s(literal 2 binary64))`
90.9%	2	`K`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes188.0ms (1.5%)

Memory

14.5MiB live, 59.0MiB allocated; 4ms collecting garbage

Counts

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

(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 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

3 calls:

155.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	K
14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
90.5%	2	`(/.f64 K #s(literal 2 binary64))`
90.5%	2	`K`
90.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes105.0ms (0.8%)

Memory

4.8MiB live, 93.8MiB allocated; 7ms collecting garbage

Counts

57 → 5

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

4 calls:

47.0ms	K
26.0ms	l
14.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
93.5%	5	`l`
85.2%	2	`(/.f64 K #s(literal 2 binary64))`
85.2%	2	`K`
85.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes131.0ms (1%)

Memory

-0.5MiB live, 143.4MiB allocated; 15ms collecting garbage

Counts

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

Outputs

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

Calls

7 calls:

42.0ms	J
19.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
17.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
13.0ms	l
13.0ms	U

Results

Accuracy	Segments	Branch
81.2%	3	`J`
76.5%	1	`U`
87.9%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
87.9%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
87.3%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
87.9%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
88.0%	3	`l`

Compiler

Compiled 45 to 56 computations (-24.4% saved)

regimes16.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
88.0%	3	`l`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes157.0ms (1.2%)

Memory

-24.0MiB live, 128.6MiB allocated; 18ms collecting garbage

Counts

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

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

8 calls:

43.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
37.0ms	l
20.0ms	K
13.0ms	(/.f64 K #s(literal 2 binary64))
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
78.6%	2	`(/.f64 K #s(literal 2 binary64))`
78.6%	2	`K`
81.6%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
84.9%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
80.7%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
82.3%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
82.3%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
82.6%	3	`l`

Compiler

Compiled 51 to 65 computations (-27.5% saved)

regimes18.0ms (0.1%)

Memory

-20.2MiB live, 23.7MiB allocated; 4ms collecting garbage

Counts

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

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 J #s(literal 2 binary64))) J U)))

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

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
84.5%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes12.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB allocated; 0ms collecting garbage

Counts

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

(fma.f64 (*.f64 #s(approx (cos (/ K 2)) #s(literal 1 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

1 calls:

10.0ms

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

Results

Accuracy	Segments	Branch
83.9%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes92.0ms (0.7%)

Memory

20.4MiB live, 65.7MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

7 calls:

39.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
10.0ms	l
9.0ms	J
9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
8.0ms	(+.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
73.4%	1	`J`
73.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
75.9%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
75.9%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
76.2%	2	`l`
80.8%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes26.0ms (0.2%)

Memory

-46.0MiB live, 9.8MiB allocated; 3ms collecting garbage

Counts

34 → 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) #s(approx (+ (* (* 2 l) J) U) (.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 #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 J 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 (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) (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 J l) #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 J #s(literal 2 binary64)) (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) (fma.f64 (.f64 (.f64 l l) (*.f64 J #s(literal 2 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) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) #s(approx (cos ( -1/2 K)) (fma.f64 #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 (.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) #s(approx (+ (* (* K K) -1/8) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64)))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 l U) (.f64 #s(literal 2 binary64) J) #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 #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))) (.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) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l))) #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 (fma.f64 J #s(literal 2 binary64) (.f64 (neg.f64 U) U)) (-.f64 (.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 (.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))
(fma.f64 (.f64 #s(approx ( (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (fma.f64 (.f64 l (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) l))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) 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) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (-.f64 #s(approx (/ ( (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (/.f64 l U)) J)) #s(literal 1 binary64)) (neg.f64 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)) #s(approx (+ (* (* K K) -1/8) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 K K)) #s(literal 1/8 binary64)) K) K))) 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 (fabs.f64 (*.f64 J l)) #s(literal 2 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 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) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (-.f64 #s(approx (/ (* (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (*.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (/.f64 l U)) J)) #s(literal 1 binary64)) (neg.f64 U))))

Calls

1 calls:

24.0ms

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

Results

Accuracy	Segments	Branch
80.4%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes58.0ms (0.5%)

Memory

2.5MiB live, 47.5MiB allocated; 4ms collecting garbage

Counts

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

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 (fabs.f64 (*.f64 J l)) #s(literal 2 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 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) #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

5 calls:

22.0ms	l
8.0ms	K
8.0ms	(/.f64 K #s(literal 2 binary64))
8.0ms	U
8.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
73.7%	2	`l`
70.6%	1	`U`
70.6%	1	`(/.f64 K #s(literal 2 binary64))`
70.6%	1	`K`
77.6%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 10 to 25 computations (-150% saved)

regimes22.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB allocated; 0ms collecting garbage

Counts

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

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 (fabs.f64 (*.f64 J l)) #s(literal 2 binary64) U)))

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

Calls

3 calls:

7.0ms

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

7.0ms

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

6.0ms

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

Results

Accuracy	Segments	Branch
74.1%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
74.1%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
76.8%	3	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 32 to 34 computations (-6.3% saved)

regimes32.0ms (0.3%)

Memory

1.0MiB live, 44.9MiB allocated; 4ms collecting garbage

Counts

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

Calls

4 calls:

14.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms	J
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
5.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
70.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
70.6%	1	`J`
70.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
74.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 19 to 28 computations (-47.4% saved)

regimes85.0ms (0.7%)

Memory

-32.0MiB live, 66.7MiB allocated; 9ms collecting garbage

Counts

16 → 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) #s(approx (+ (* (* 2 l) J) U) (.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 #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 J 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 (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) (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 J l) #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 J #s(literal 2 binary64)) (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) (fma.f64 (.f64 (.f64 l l) (*.f64 J #s(literal 2 binary64))) 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) #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 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 (*.f64 l l) (*.f64 J #s(literal 2 binary64))) J U)))

Calls

10 calls:

36.0ms	J
5.0ms	(/.f64 K #s(literal 2 binary64))
5.0ms	K
5.0ms	l
5.0ms	U

Results

Accuracy	Segments	Branch
61.8%	3	`J`
58.5%	2	`U`
60.3%	2	`(/.f64 K #s(literal 2 binary64))`
66.9%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
60.3%	2	`K`
66.1%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
68.0%	4	`l`
71.2%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
71.2%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
61.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes20.0ms (0.2%)

Memory

33.5MiB live, 33.5MiB allocated; 0ms collecting garbage

Counts

15 → 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) #s(approx (+ (* (* 2 l) J) U) (.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 #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 J 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 (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) (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 J l) #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 J #s(literal 2 binary64)) (fabs.f64 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 (*.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 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 (*.f64 J #s(literal 2 binary64)) (fabs.f64 J)) J U)))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
62.3%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
68.0%	5	`l`
63.2%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
65.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
65.4%	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)

regimes17.0ms (0.1%)

Memory

-31.9MiB live, 13.7MiB allocated; 4ms collecting garbage

Counts

14 → 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) #s(approx (+ (* (* 2 l) J) U) (.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 #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 J 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 (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) (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 J l) #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)))

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) #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 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

2 calls:

12.0ms

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

3.0ms

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

Results

Accuracy	Segments	Branch
65.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
65.4%	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)

regimes15.0ms (0.1%)

Memory

44.4MiB live, 44.4MiB allocated; 0ms collecting garbage

Counts

13 → 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) #s(approx (+ (* (* 2 l) J) U) (.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 #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 J 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 (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) (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 J l) #s(literal 2 binary64)) 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) 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

4 calls:

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

Results

Accuracy	Segments	Branch
56.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
58.8%	2	`l`
62.2%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
62.2%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 35 to 39 computations (-11.4% saved)

regimes29.0ms (0.2%)

Memory

-21.9MiB live, 24.3MiB allocated; 3ms collecting garbage

Counts

8 → 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) #s(approx (+ (* (* 2 l) J) U) (.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 #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)))

#s(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)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
56.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
56.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
60.5%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
60.5%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 40 to 43 computations (-7.5% saved)

regimes5.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

7 → 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) #s(approx (+ (* (* 2 l) J) U) (.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 #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) 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) J U)))

Calls

2 calls:

2.0ms

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

2.0ms

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

Results

Accuracy	Segments	Branch
60.5%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
60.5%	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)

regimes39.0ms (0.3%)

Memory

-15.8MiB live, 31.2MiB allocated; 2ms collecting garbage

Counts

4 → 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)))

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)))

Calls

10 calls:

23.0ms	U
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	l
2.0ms	K
2.0ms	J

Results

Accuracy	Segments	Branch
38.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
44.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
43.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
42.9%	3	`U`
44.6%	3	`l`
39.6%	2	`J`
40.1%	2	`(/.f64 K #s(literal 2 binary64))`
40.1%	2	`K`
44.1%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
44.1%	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 53 to 73 computations (-37.7% saved)

regimes30.0ms (0.2%)

Memory

-19.7MiB live, 33.5MiB allocated; 4ms collecting garbage

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

10 calls:

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

Results

Accuracy	Segments	Branch
36.7%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
36.7%	1	`J`
36.7%	1	`(/.f64 K #s(literal 2 binary64))`
36.7%	1	`K`
36.7%	1	`U`
36.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
36.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
36.7%	1	`l`
36.7%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
36.7%	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)

regimes11.0ms (0.1%)

Memory

21.0MiB live, 21.0MiB allocated; 0ms collecting garbage

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:

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

Results

Accuracy	Segments	Branch
30.2%	1	`(/.f64 K #s(literal 2 binary64))`
30.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
30.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
30.2%	1	`K`
30.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
30.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
30.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
30.2%	1	`l`
30.2%	1	`U`
30.2%	1	`J`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch106.0ms (0.8%)

Memory

11.1MiB live, 99.3MiB allocated; 9ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	3.896033540871976e+40	3.622487643675916e+45
77.0ms	2.7871041422537896e-11	2.0947979107162932e-8

Samples

24.0ms	206×	0	valid
15.0ms	66×	1	valid

Compiler

Compiled 1 004 to 769 computations (23.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-exp: 9.0ms (30.1% of total)

ival-cos: 7.0ms (23.4% of total)

ival-mult: 4.0ms (13.4% of total)

adjust: 2.0ms (6.7% of total)

ival-div: 2.0ms (6.7% of total)

ival-add: 2.0ms (6.7% of total)

ival-sub: 2.0ms (6.7% of total)

ival-neg: 1.0ms (3.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8366273442167497	0.8729556288832433

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.8366273442167497	0.8729556288832433

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch133.0ms (1%)

Memory

-11.3MiB live, 136.2MiB allocated; 18ms collecting garbage

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
55.0ms	3.663619551613251e+88	1.913423404582442e+94
22.0ms	0.23417102667373824	510975.54016044666
29.0ms	-8.520978954107405e+28	-1685176734646157800.0
18.0ms	-2.13183421780235e+104	-1.9447280780432807e+102

Samples

97.0ms

560×

valid

Compiler

Compiled 3 137 to 2 382 computations (24.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 41.0ms (54.1% of total)

ival-cos: 13.0ms (17.1% of total)

ival-exp: 9.0ms (11.9% of total)

ival-div: 3.0ms (4% of total)

ival-add: 3.0ms (4% of total)

ival-sub: 3.0ms (4% of total)

ival-neg: 2.0ms (2.6% of total)

ival-true: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

bsearch5.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.23417102667373824	510975.54016044666
2.0ms	-8.520978954107405e+28	-1685176734646157800.0

Compiler

Compiled 1 418 to 1 112 computations (21.6% saved)

bsearch4.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.23417102667373824	510975.54016044666
2.0ms	-8.520978954107405e+28	-1685176734646157800.0

Compiler

Compiled 1 570 to 1 188 computations (24.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0520469891835375	0.007207489124008533
0.0ms	-0.8417564372189914	-0.8328830520695779

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0520469891835375	0.007207489124008533
0.0ms	-0.8417564372189914	-0.8328830520695779

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0520469891835375	0.007207489124008533
0.0ms	-0.6846116553480482	-0.6751820080300913

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0520469891835375	0.007207489124008533
0.0ms	-0.6846116553480482	-0.6751820080300913

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0520469891835375	0.007207489124008533
0.0ms	-0.6846116553480482	-0.6751820080300913

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0520469891835375	0.007207489124008533
0.0ms	-0.6846116553480482	-0.6751820080300913

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.0520469891835375	0.007207489124008533
0.0ms	-0.6846116553480482	-0.6751820080300913

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.06241704524830327	-0.060000904430717296

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5647539947745323e+127	+inf
0.0ms	-1.8106086613875087e+90	-4.0051540491095706e-33

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.5647539947745323e+127	+inf
0.0ms	-1.8106086613875087e+90	-4.0051540491095706e-33

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.792574713501044e-151	6.4660837013156475e-49
0.0ms	-1.8106086613875087e+90	-4.0051540491095706e-33

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.792574713501044e-151	6.4660837013156475e-49

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7125044787879009e+292	3.132211768304212e+298

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7125044787879009e+292	3.132211768304212e+298

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.7125044787879009e+292	3.132211768304212e+298

Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify78.0ms (0.6%)

Memory

5.6MiB live, 97.2MiB allocated; 8ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	280	2748
1	397	2748
2	723	2748
3	2010	2748
4	6231	2748

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)
(if (<=.f64 l #s(literal 6195744825524975/302231454903657293676544 binary64)) (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) (if (<=.f64 l #s(literal 330000000000000013264860134658327195607367680 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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))) 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 #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)
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(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 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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)))

Outputs
(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(if (<=.f64 l #s(literal 6195744825524975/302231454903657293676544 binary64)) (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) (if (<=.f64 l #s(literal 330000000000000013264860134658327195607367680 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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)))
(if (or (<=.f64 l #s(literal 6195744825524975/302231454903657293676544 binary64)) (not (<=.f64 l #s(literal 330000000000000013264860134658327195607367680 binary64)))) (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) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 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 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7656119366529843/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos (/ K 2)) #s(literal 1 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))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 7656119366529843/9007199254740992 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)) (fma.f64 (.f64 #s(approx (cos (/ K 2)) #s(literal 1 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))
(if (<=.f64 l #s(literal -8199999999999999936136817877458420892109672340083240075380004692139275667998471495976616867881738567680 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) (.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 -1700000000000000000 binary64)) (fma.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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) (if (<=.f64 l #s(literal 320 binary64)) (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) (if (<=.f64 l #s(literal 719999999999999984914818126799335803340617190490233163182083262065778489497536796712501248000 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 #s(literal -2 binary64) J) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 #s(approx (* (+ (* (* K K) -1/8) 1) l) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) l (/.f64 l (.f64 K K))) K) K)) U))) #s(literal 1 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) (.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 -1700000000000000000 binary64)) (fma.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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) (if (<=.f64 l #s(literal 320 binary64)) (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) #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) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 #s(approx (* (+ (* (* K K) -1/8) 1) l) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) l (/.f64 l (*.f64 K K))) K) K)) U))) #s(literal 1 binary64)))))))
(if (<=.f64 l #s(literal -1700000000000000000 binary64)) (fma.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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) (if (<=.f64 l #s(literal 320 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) (.f64 (neg.f64 U) (-.f64 (.f64 (.f64 #s(literal -2 binary64) J) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 #s(approx (* (+ (* (* K K) -1/8) 1) l) (.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) l (/.f64 l (*.f64 K K))) K) K)) U))) #s(literal 1 binary64)))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/9007199254740992 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 l #s(literal 3 binary64)) #s(literal 8 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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 #s(approx (cos (/ K 2)) #s(literal 1 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/9007199254740992 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 J #s(literal 2 binary64))) J U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx (cos (/ K 2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 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 #s(approx (cos (/ K 2)) #s(literal 1 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 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 (fabs.f64 (.f64 J l)) #s(literal 2 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 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 #s(literal -2 binary64) J) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 #s(approx (+ ( (* K K) -1/8) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64))) l) U))) #s(literal 1 binary64))))) (fma.f64 (.f64 #s(approx (cos (/ K 2)) #s(literal 1 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 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 (fabs.f64 (.f64 J l)) #s(literal 2 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 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 #s(literal -2 binary64) J) #s(approx ( (cos (* 1/2 K)) (/ l U)) (/.f64 (.f64 #s(approx (+ ( (* K K) -1/8) 1) (.f64 (.f64 K K) #s(literal -1/8 binary64))) l) U))) #s(literal 1 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) (.f64 (-.f64 #s(approx (/ ( (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (/.f64 l U)) J)) #s(literal 1 binary64)) (neg.f64 U))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 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 (fabs.f64 (.f64 J l)) #s(literal 2 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #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) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (.f64 (-.f64 #s(approx (/ ( (* (* (+ (* (* l l) 1/3) 2) l) J) (cos (* -1/2 K))) (neg U)) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (/.f64 l U)) J)) #s(literal 1 binary64)) (neg.f64 U))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 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 (fabs.f64 (.f64 J l)) #s(literal 2 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #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) #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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -6124895493223875/9007199254740992 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 (fabs.f64 (.f64 J l)) #s(literal 2 binary64) U))) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (.f64 #s(approx (* (sinh l) (cos (/ K -2))) #s(approx (* (cos (* 1/2 K)) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) l))) #s(literal 2 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)))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1116892707587883/18014398509481984 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 (.f64 l l) (.f64 J #s(literal 2 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))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 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) #s(literal 4 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 50000000000000003758724345825910431373571453217620410674145455117888296262120760233227055054887901771413297751942626316333875200 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 (.f64 l l) (*.f64 J #s(literal 2 binary64))) J U)))))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 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) #s(literal 4 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 50000000000000003758724345825910431373571453217620410674145455117888296262120760233227055054887901771413297751942626316333875200 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 (.f64 J #s(literal 2 binary64)) (fabs.f64 J)) 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 -999999999999999966484112715463900049825186092620125502979674597309179755437379230686511104 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) #s(literal 4 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 7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 7371020360979573/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 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 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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 J J) #s(literal 4 binary64) U))))
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(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 20000000000000000265131979567148325361373122179172920071264062955884985453808506429231958836078724999454749277131784181976245949300014051569103476605493463371814790630510549293722116375116429235158992403665324705171077671147273195044215123421883037120057498753668190357102577928230111451021312 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)))

derivations2.3s (18.3%)

Memory

6.9MiB live, 2 093.4MiB allocated; 300ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	756
1	552	756
2	2179	646
3	5634	646
0	8490	597
0	74	520
0	108	502
1	364	483
2	2492	483
0	8767	473
0	380	2066
1	1380	2039
2	6089	2014
0	8241	1874
0	444	2474
1	1764	2387
2	7675	2382
0	8434	2209
0	72	451
0	112	441
1	401	441
2	2784	441
0	9467	434
0	510	2652
1	1967	2552
0	8260	2370
0	14	46
0	23	38
1	74	38
2	506	38
3	5967	38
0	8124	37
0	52	379
0	88	359
1	312	357
2	2224	357
0	8278	355

Stop Event

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

Compiler

Compiled 2 748 to 288 computations (89.5% saved)

preprocess236.0ms (1.8%)

Memory: -21.8MiB live, 219.1MiB allocated; 30ms collecting garbage
Remove: (abs K)
Compiler: Compiled 5 550 to 628 computations (88.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage