Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

-30.1MiB live, 1.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.2s (23.8%)

Memory

-45.2MiB live, 2 022.3MiB allocated

Samples

680.0ms	6 431×	0	valid
630.0ms	1 825×	1	valid

Precisions

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

ival-exp: 396.0ms (37.1% of total)

ival-cos: 246.0ms (23.1% of total)

ival-div: 119.0ms (11.2% of total)

ival-mult: 116.0ms (10.9% of total)

ival-add: 52.0ms (4.9% of total)

ival-sub: 47.0ms (4.4% of total)

adjust: 41.0ms (3.8% of total)

ival-neg: 34.0ms (3.2% of total)

ival-true: 6.0ms (0.6% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain263.0ms (2.9%)

Memory

11.1MiB live, 295.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
143	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	122	(-6.461796290046231e+90 -3.5474430251736974e-183 -7.247150519666094e+247 1.162863212339436e+299)	-	`(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	122	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	41	0

Confusion

	Predicted +	Predicted -
+	39	0
-	104	113

Precision

0.2727272727272727

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	39	0	0
-	104	0	113

Precision?

0.2727272727272727

Recall?

1.0

Freqs

test

number	freq
0	113
1	123
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

95.0ms	214×	1	valid
28.0ms	60×	2	valid
24.0ms	238×	0	valid

Compiler

Compiled 141 to 46 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-exp: 63.0ms (56.8% of total)

ival-cos: 17.0ms (15.3% of total)

ival-mult: 9.0ms (8.1% of total)

adjust: 7.0ms (6.3% of total)

ival-sub: 4.0ms (3.6% of total)

ival-add: 4.0ms (3.6% of total)

ival-div: 3.0ms (2.7% of total)

ival-neg: 2.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

preprocess118.0ms (1.3%)

Memory

17.0MiB live, 116.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.4%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify108.0ms (1.2%)

Memory

-9.8MiB live, 117.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize71.0ms (0.8%)

Memory

6.4MiB live, 67.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
accuracy	0.00390625	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
accuracy	0.0625	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	32.898475362568504	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

32.0ms	107×	1	valid
17.0ms	30×	2	valid
12.0ms	119×	0	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-exp: 26.0ms (54.2% of total)

ival-cos: 8.0ms (16.7% of total)

ival-mult: 5.0ms (10.4% of total)

adjust: 4.0ms (8.3% of total)

ival-sub: 2.0ms (4.2% of total)

ival-add: 2.0ms (4.2% of total)

ival-div: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

4 → 35

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))))

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))))))))))
(* 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
2.0ms	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)))))
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)))))
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)))))
1.0ms	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)))))
1.0ms	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)))))

simplify134.0ms (1.5%)

Memory

-16.1MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	712
1	513	712
2	2082	602
3	5799	602
0	8486	557

Stop Event

1×	iter limit
1×	node limit

Counts

35 → 34

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

rewrite208.0ms (2.3%)

Memory

-8.1MiB live, 122.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	42
0	23	34
1	74	34
2	506	34
3	5967	34
0	8124	33

Stop Event

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

Counts

4 → 242

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))))

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

eval31.0ms (0.3%)

Memory: 23.7MiB live, 54.9MiB allocated
Compiler: Compiled 9 844 to 1 173 computations (88.1% saved)

prune36.0ms (0.4%)

Memory

-27.5MiB live, 13.2MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	263	8	271
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	264	8	272

Accuracy

100.0%

Counts

272 → 8

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)
▶	95.7%	(+.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)
	94.2%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	88.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	92.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)) U)
	77.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
▶	67.0%	#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))
	85.6%	#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 452 to 342 computations (24.3% saved)

simplify109.0ms (1.2%)

Memory

13.8MiB live, 72.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.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)
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)) U)
cost-diff	7	(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)))
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	1	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff	1	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	0	(*.f64 #s(literal 2 binary64) 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	56	598
0	97	598
1	202	582
2	644	574
3	2743	574
0	8186	556

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

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

localize228.0ms (2.5%)

Memory

15.3MiB live, 170.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(.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))))
accuracy	4.037438333488911	(.f64 J (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)))
accuracy	5.33833495191182	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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))
accuracy	5.6398224876399174	(.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))
accuracy	0.05859375	(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	0.0625	(.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	0.25896015237560377	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	3.805546882840623	#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	0.0625	(.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	0.08984375	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	8.908069655557197	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0.0	(*.f64 #s(literal -1/2 binary64) K)
accuracy	0.0	(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy	0.2504015247310343	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy	21.286361923460593	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
accuracy	0.0	(cos.f64 (/.f64 K #s(literal -2 binary64)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.01171875	(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
accuracy	0.0703125	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64))))

Samples

104.0ms	107×	1	valid
48.0ms	119×	0	valid
33.0ms	30×	2	valid

Compiler

Compiled 441 to 53 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-mult: 51.0ms (36% of total)

ival-exp: 23.0ms (16.2% of total)

ival-cos: 21.0ms (14.8% of total)

adjust: 13.0ms (9.2% of total)

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

const: 11.0ms (7.8% of total)

ival-div: 3.0ms (2.1% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series79.0ms (0.9%)

Memory

-19.8MiB live, 74.1MiB allocated

Counts

30 → 151

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

Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* J l))
(* 2 J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* J (* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (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)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))))
(* -1 (* J (* l (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 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 (* 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))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))
2
(+ 2 (* 1/3 (pow l 2)))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))
(* 1/3 J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(* 1/3 (* J (cos (* -1/2 K))))
(+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))
(* (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)))
(- (exp l) (exp (neg l)))
(* 1/60 (* J (* (pow l 4) (cos (* -1/2 K)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/60 (* J (* (pow l 5) (cos (* -1/2 K)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/60 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (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)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 4))) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K))))))))
(+ 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))))))))
(+ (* -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))))))))))
(+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (+ (* 1/192 J) (* (pow K 2) (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))))
(* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (+ (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))) (* (pow K 2) (* l (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/2 K)
(* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* J (+ 1/3 (* 1/60 (pow l 2)))))
(+ (* J (+ 1/3 (* 1/60 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 1/3 (* 1/60 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 1/3 (* 1/60 (pow l 2)))))))))
(+ (* J (+ 1/3 (* 1/60 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/384 (* J (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(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))))
(* -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)))

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	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) (* (* 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))) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l)) (* J (+ (* 1/60 (* l l)) 1/3)) (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))))
14.0ms	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) (* (* 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))) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l)) (* J (+ (* 1/60 (* l l)) 1/3)) (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))))
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) (* (* 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))) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l)) (* J (+ (* 1/60 (* l l)) 1/3)) (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))))
6.0ms	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) (* (* 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))) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l)) (* J (+ (* 1/60 (* l l)) 1/3)) (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))))
5.0ms	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) (* (* 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))) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l)) (* J (+ (* 1/60 (* l l)) 1/3)) (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))))

simplify194.0ms (2.1%)

Memory

0.0MiB live, 96.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	491	3224
1	1992	3107
0	8765	2874

Stop Event

1×	iter limit
1×	node limit

Counts

151 → 149

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)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* J (* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (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)))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))))
(* -1 (* J (* l (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))))
(* 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 (* 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))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))))
2
(+ 2 (* 1/3 (pow l 2)))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K))))))
(* 1/3 J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(* 1/3 (* J (cos (* -1/2 K))))
(+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))
(* (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)))
(- (exp l) (exp (neg l)))
(* 1/60 (* J (* (pow l 4) (cos (* -1/2 K)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/60 (* J (* (pow l 5) (cos (* -1/2 K)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/60 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (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)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 4))) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K))))))))
(+ 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))))))))
(+ (* -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))))))))))
(+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (+ (* 1/192 J) (* (pow K 2) (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))))
(* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (+ (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))) (* (pow K 2) (* l (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(* -1/2 K)
(* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ (* -1/8 (* J (* (pow K 2) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* J (+ 1/3 (* 1/60 (pow l 2)))))
(+ (* J (+ 1/3 (* 1/60 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 1/3 (* 1/60 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 1/3 (* 1/60 (pow l 2)))))))))
(+ (* J (+ 1/3 (* 1/60 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/384 (* J (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(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))))
(* -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)))

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

rewrite170.0ms (1.9%)

Memory

7.7MiB live, 104.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	488
0	97	466
1	358	449
2	2643	449
0	8423	443

Stop Event

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

Counts

30 → 414

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

Outputs
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) U)) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) U) (.f64 U U))) (.f64 (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) U) (-.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (*.f64 J #s(literal 2 binary64)))) U)))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) #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 (sinh.f64 l) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64))))) (pow.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) (*.f64 J #s(literal 2 binary64)))) #s(literal 2 binary64)))))
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(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) U)
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(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
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eval82.0ms (0.9%)

Memory: -4.9MiB live, 119.3MiB allocated
Compiler: Compiled 27 138 to 2 985 computations (89% saved)

prune16.0ms (0.2%)

Memory

5.7MiB live, 37.0MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	578	10	588
Fresh	3	0	3
Picked	5	0	5
Done	0	0	0
Total	586	10	596

Accuracy

100.0%

Counts

596 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)
	85.3%	(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
▶	89.0%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	80.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
▶	67.0%	#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))
	66.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
▶	37.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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))))
	38.7%	#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 (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 #s(literal 2 binary64) l) J U))))
	45.5%	#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 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
▶	59.3%	#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 #s(literal 2 binary64) l) J U)))

Compiler

Compiled 732 to 528 computations (27.9% saved)

simplify115.0ms (1.2%)

Memory

0.9MiB live, 126.7MiB allocated

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	(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))
cost-diff	0	#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)))
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 (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))))
cost-diff	4	(fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (*.f64 J l)))
cost-diff	0	#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))))
cost-diff	0	(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) 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 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (.f64 #s(literal 2 binary64) l))))
cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #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))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff	2	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	719
0	112	710
1	255	678
2	773	660
3	3360	660
0	8338	645

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (.f64 #s(literal 2 binary64) l))))
J
#s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l))
(.f64 #s(literal 1/3 binary64) (.f64 l l))
#s(literal 1/3 binary64)
(*.f64 l l)
l
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #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
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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))
(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)
#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))))
(.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)))
J
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#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 (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 (+ (* (* (* 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)))
(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))
(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 (fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (.f64 J l))) K)
(fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (*.f64 J l)))
#s(literal -1/23040 binary64)
(.f64 (.f64 (*.f64 K K) l) J)
(.f64 (.f64 K K) l)
(*.f64 K K)
K
l
J
(.f64 #s(literal 1/192 binary64) (.f64 J l))
#s(literal 1/192 binary64)
(*.f64 J l)
(.f64 #s(literal -1/4 binary64) (.f64 J l))
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
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)
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
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (.f64 #s(literal 2 binary64) l))))
(.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #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))
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(.f64 #s(literal 1/3 binary64) (.f64 l l))
(.f64 (.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(*.f64 l l)
l
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #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 #s(literal 2 binary64) J) l 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) J) l U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l 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)) J)) l)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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))
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l 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)) J)) l))
(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)
(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l 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)) J)) l)
#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))))
#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l 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)) J))
(.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)))
(.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)) J)
J
(fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#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 (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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 l J) (fma.f64 (.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l 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 (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (.f64 (.f64 (.f64 l J) (fma.f64 (.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l 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))
(fma.f64 (fma.f64 (.f64 (.f64 (.f64 l J) (fma.f64 (.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J))) (.f64 K K) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))
(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)))
(fma.f64 (.f64 (.f64 (.f64 l J) (fma.f64 (.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64))) K) K (.f64 #s(literal -1/4 binary64) (.f64 l J)))
(.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)
(.f64 (.f64 (.f64 l J) (fma.f64 (.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64))) K)
(fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (*.f64 J l)))
(.f64 (.f64 l J) (fma.f64 (*.f64 #s(literal -1/23040 binary64) K) K #s(literal 1/192 binary64)))
#s(literal -1/23040 binary64)
(.f64 (.f64 (*.f64 K K) l) J)
(.f64 (.f64 K K) l)
(*.f64 K K)
K
l
J
(.f64 #s(literal 1/192 binary64) (.f64 J l))
(.f64 (.f64 l J) #s(literal 1/192 binary64))
#s(literal 1/192 binary64)
(*.f64 J l)
(*.f64 l J)
(.f64 #s(literal -1/4 binary64) (.f64 J l))
(.f64 #s(literal -1/4 binary64) (.f64 l J))
#s(literal -1/4 binary64)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
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) (fma.f64 (.f64 (.f64 l J) #s(literal 2 binary64)) (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 l J) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (+.f64 J J) l)
(.f64 (.f64 l J) #s(literal 2 binary64))
(+.f64 J J)
(*.f64 #s(literal 2 binary64) J)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
U

localize322.0ms (3.5%)

Memory

8.2MiB live, 151.8MiB allocated

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	0.2504015247310343	(fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
accuracy	21.286361923460593	#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	8.03362578010193	(.f64 (.f64 (*.f64 K K) l) J)
accuracy	9.245840332325926	(.f64 (.f64 K K) l)
accuracy	21.286361923460593	#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))))
accuracy	27.98801754383382	#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)))
accuracy	0.06640625	(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)
accuracy	1.8843311855552856	(.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)))
accuracy	5.33833495191182	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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))
accuracy	23.87560894556522	#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))))
accuracy	0.0	(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
accuracy	0.0	(*.f64 #s(literal 2 binary64) l)
accuracy	10.604116035519407	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
accuracy	21.286361923460593	#s(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	0.04296875	(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l))
accuracy	0.0625	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.1875	(.f64 #s(literal 1/3 binary64) (.f64 l l))
accuracy	8.908069655557197	#s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))

Samples

163.0ms	107×	1	valid
79.0ms	119×	0	valid
36.0ms	30×	2	valid

Compiler

Compiled 462 to 63 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 74.0ms (42.1% of total)

ival-add: 28.0ms (15.9% of total)

ival-exp: 24.0ms (13.6% of total)

adjust: 15.0ms (8.5% of total)

ival-cos: 15.0ms (8.5% of total)

const: 15.0ms (8.5% of total)

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

ival-div: 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)

exact: 0.0ms (0% of total)

series58.0ms (0.6%)

Memory

2.5MiB live, 62.6MiB allocated

Counts

27 → 123

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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))
(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)
#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (*.f64 J l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 (+ (* (* (* 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)))
(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 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (+.f64 J J) l)
(+.f64 J J)
#s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))
(.f64 #s(literal 1/3 binary64) (.f64 l l))
(.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)))
(.f64 (.f64 K K) l)
(.f64 (.f64 (*.f64 K K) l) J)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* J (* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(* J (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* J (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))))
(* 2 (* J l))
(* 2 J)
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (* (pow K 2) 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)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))))
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ 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 (* l (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))))
(* -1 (* J (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))))
(* -1 (* J (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l))))))))))
(* 2 l)
(* l (+ 2 (* 1/3 (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))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* l (+ (* 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))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))
(* l (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
(* 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 (pow l 2))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* (pow K 2) l)
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/60 (* J (* (pow l 5) (cos (* -1/2 K)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/60 (* J (* (pow l 4) (cos (* -1/2 K)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (/ U l))))
(- (exp l) (exp (neg l)))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(+ 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))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 4))) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K))))))))
(* -1 (* l (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))
(* -1 (* l (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))))))
(- (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))))))))))
(+ 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))))))))
(* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (+ (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))) (* (pow K 2) (* l (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))
(+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (+ (* 1/192 J) (* (pow K 2) (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))))
(* 1/192 (* J l))
(+ (* -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)))
(* -1/2 K)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* -1/23040 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (+ (* 2 (/ (* J l) (pow K 6))) (/ U (pow K 6)))))))
(cos (* -1/2 K))
(+ (* 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 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)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
10.0ms	J	@	0	((+ (* (* 1/3 (* l l)) l) (* 2 l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* 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) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (- (exp l) (exp (neg l))) (* 1/3 (* l l)) (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (* (* K K) l) (* (* (* K K) l) J) (cos (* -1/2 K)) (* -1/2 K))
8.0ms	l	@	-inf	((+ (* (* 1/3 (* l l)) l) (* 2 l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* 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) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (- (exp l) (exp (neg l))) (* 1/3 (* l l)) (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (* (* K K) l) (* (* (* K K) l) J) (cos (* -1/2 K)) (* -1/2 K))
6.0ms	J	@	-inf	((+ (* (* 1/3 (* l l)) l) (* 2 l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* 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) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (- (exp l) (exp (neg l))) (* 1/3 (* l l)) (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (* (* K K) l) (* (* (* K K) l) J) (cos (* -1/2 K)) (* -1/2 K))
6.0ms	l	@	inf	((+ (* (* 1/3 (* l l)) l) (* 2 l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* 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) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (- (exp l) (exp (neg l))) (* 1/3 (* l l)) (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (* (* K K) l) (* (* (* K K) l) J) (cos (* -1/2 K)) (* -1/2 K))
6.0ms	J	@	inf	((+ (* (* 1/3 (* l l)) l) (* 2 l)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (+ (* (* 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) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (- (exp l) (exp (neg l))) (* 1/3 (* l l)) (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (* (* K K) l) (* (* (* K K) l) J) (cos (* -1/2 K)) (* -1/2 K))

simplify151.0ms (1.6%)

Memory

-7.4MiB live, 83.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	442	2716
1	1723	2659
0	8039	2451

Stop Event

1×	iter limit
1×	node limit

Counts

123 → 122

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* J (* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(* J (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* J (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))))
(* 2 (* J l))
(* 2 J)
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (* (pow K 2) 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)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))))
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ 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 (* l (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))))
(* -1 (* J (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))))
(* -1 (* J (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l))))))))))
(* 2 l)
(* l (+ 2 (* 1/3 (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))))))))))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* l (+ (* 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))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 1/3 (* J (cos (* -1/2 K)))))))
(* l (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
(* 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 (pow l 2))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* (pow K 2) l)
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/60 (* J (* (pow l 5) (cos (* -1/2 K)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/60 (* J (* (pow l 4) (cos (* -1/2 K)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))))))
(* l (+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (/ U l))))
(- (exp l) (exp (neg l)))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(+ 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))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 4))) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K))))))))
(* -1 (* l (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))
(* -1 (* l (+ (* -2 J) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2))))))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* (pow K 2) (+ (* 1/4 J) (* (pow K 2) (+ (* -1/192 J) (* 1/23040 (* J (pow K 2)))))))))))
(- (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))))))))))
(+ 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))))))))
(* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (+ (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))) (* (pow K 2) (* l (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))
(+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (+ (* 1/192 J) (* (pow K 2) (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))))
(* 1/192 (* J l))
(+ (* -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)))
(* -1/2 K)
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* -1/23040 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* -1/23040 (* J (* (pow K 6) l)))
(* (pow K 6) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2)))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (* 1/192 (/ (* J l) (pow K 2))))))
(* (pow K 6) (+ (* -1/4 (/ (* J l) (pow K 4))) (+ (* -1/23040 (* J l)) (+ (* 1/192 (/ (* J l) (pow K 2))) (+ (* 2 (/ (* J l) (pow K 6))) (/ U (pow K 6)))))))
(cos (* -1/2 K))
(+ (* 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 (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))) U))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* 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)) 1)))

Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* J (* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(.f64 (fma.f64 (pow.f64 l #s(literal 3 binary64)) (.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J)
(* J (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(.f64 (fma.f64 (.f64 (.f64 l l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) #s(literal 2 binary64))) J)
(* J (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))
(.f64 (.f64 l (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) J)
(+ U (* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (.f64 #s(literal 2 binary64) l)) J U)
(* 2 (* J l))
(.f64 (.f64 J l) #s(literal 2 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) J)
(* J (* (pow K 2) l))
(.f64 (.f64 (*.f64 K K) 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)
(* 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)
(* J (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l)))))))
(.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J)
(* J (+ (* 2 l) (+ (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))) (/ U J))))
(.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (fma.f64 #s(literal 2 binary64) l (/.f64 U J))) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(neg.f64 (.f64 (neg.f64 J) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(.f64 (neg.f64 J) (fma.f64 (.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) J)))
(* -1 (* J (* l (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))))
(.f64 (neg.f64 (.f64 J l)) (fma.f64 (.f64 (.f64 (neg.f64 l) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -2 binary64) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
(* -1 (* J (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))))
(.f64 (neg.f64 J) (fma.f64 (.f64 (.f64 (neg.f64 l) l) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(* -1 (* J (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))
(.f64 (neg.f64 J) (.f64 l (fma.f64 #s(literal 1/23040 binary64) (*.f64 K K) #s(literal -1/192 binary64))))
(* -1 (* J (+ (* -2 l) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l)))))))))
(.f64 (neg.f64 J) (fma.f64 (fma.f64 (.f64 l (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal -2 binary64) l)))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* (pow K 2) (+ (* 1/4 l) (* (pow K 2) (+ (* -1/192 l) (* 1/23040 (* (pow K 2) l))))))))))
(.f64 (neg.f64 J) (fma.f64 (fma.f64 (.f64 l (fma.f64 #s(literal 1/23040 binary64) (.f64 K K) #s(literal -1/192 binary64))) (.f64 K K) (.f64 #s(literal 1/4 binary64) l)) (.f64 K K) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) 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)
(+ 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 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) 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 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J)) l (fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/60 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) U))
(* 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 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) 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))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/60 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/2520 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 l l))) (.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))) (* 2 J)))
(.f64 (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (.f64 #s(literal 2 binary64) J)) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #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)))))))
(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)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K))))))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) 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))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/60 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* 2 (* J (cos (* -1/2 K))))
(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(+ (* 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 #s(literal 2 binary64) J) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 (.f64 (.f64 (.f64 l l) J) #s(literal 1/60 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))) (*.f64 l l)))
(* l (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J)))
(.f64 (.f64 l (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) J)
(+ U (* l (+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (.f64 (.f64 K K) J) #s(literal -1/23040 binary64) (.f64 #s(literal 1/192 binary64) J)) K) K (.f64 #s(literal -1/4 binary64) J)) (.f64 K K) (*.f64 #s(literal 2 binary64) J)) l U)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #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 (pow l 2))
(.f64 (.f64 l l) #s(literal 1/3 binary64))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) J)
(* (pow K 2) l)
(.f64 (.f64 K K) l)
(* 1/3 (pow l 3))
(*.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(.f64 (+.f64 (/.f64 #s(literal 2 binary64) (.f64 l l)) #s(literal 1/3 binary64)) (pow.f64 l #s(literal 3 binary64)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(.f64 (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* 1/60 (* J (* (pow l 5) (cos (* -1/2 K)))))
(.f64 (.f64 #s(literal 1/60 binary64) (.f64 (pow.f64 l #s(literal 5 binary64)) J)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))) (pow.f64 l #s(literal 5 binary64)))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(.f64 (fma.f64 (/.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (pow.f64 l #s(literal 4 binary64))) (.f64 #s(literal 2 binary64) J) (fma.f64 (.f64 #s(literal 1/60 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 l l)))) (pow.f64 l #s(literal 5 binary64)))
(* 1/60 (* J (* (pow l 4) (cos (* -1/2 K)))))
(.f64 (.f64 (.f64 (pow.f64 l #s(literal 4 binary64)) J) #s(literal 1/60 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(.f64 (pow.f64 l #s(literal 4 binary64)) (fma.f64 (.f64 #s(literal 1/60 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 (.f64 #s(literal 1/3 binary64) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
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(* U (+ 1 (+ (* 2 (/ (* J l) U)) (/ (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))) U))))
(fma.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) J) (.f64 K K) (.f64 (.f64 #s(literal -1/4 binary64) J) l)) (.f64 K K) (.f64 (*.f64 J l) #s(literal 2 binary64))) U) U U)
(* -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 (- (* -2 (/ (* J l) U)) 1)))
(.f64 (neg.f64 U) (-.f64 (.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64)) #s(literal 1 binary64)))
(* -1 (* U (- (* -1 (/ (+ (* 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)) 1)))
(.f64 (neg.f64 U) (-.f64 (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) J) (.f64 K K) (.f64 (.f64 #s(literal -1/4 binary64) J) l)) (.f64 K K) (.f64 (.f64 J l) #s(literal 2 binary64))) (neg.f64 U)) #s(literal 1 binary64)))

rewrite187.0ms (2%)

Memory

15.2MiB live, 111.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	593
0	112	566
1	433	534
2	3155	534
0	8471	525

Stop Event

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

Counts

27 → 355

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (.f64 #s(literal 2 binary64) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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))
(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)
#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))))
(fma.f64 #s(literal -1/23040 binary64) (.f64 (.f64 (.f64 K K) l) J) (.f64 #s(literal 1/192 binary64) (*.f64 J l)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 (+ (* (* (* 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)))
(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 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (+.f64 J J) l)
(+.f64 J J)
#s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))
(.f64 #s(literal 1/3 binary64) (.f64 l l))
(.f64 J (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)))
(.f64 (.f64 K K) l)
(.f64 (.f64 (*.f64 K K) l) J)
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)

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

eval89.0ms (1%)

Memory: -19.6MiB live, 109.3MiB allocated
Compiler: Compiled 36 007 to 2 652 computations (92.6% saved)

prune30.0ms (0.3%)

Memory

-8.4MiB live, 53.1MiB allocated

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	504	15	519
Fresh	2	3	5
Picked	3	2	5
Done	0	0	0
Total	509	20	529

Accuracy

100.0%

Counts

529 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.3%	(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
▶	79.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
✓	80.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
	74.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
✓	67.0%	#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))
	43.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.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))
	45.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
▶	46.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U))
	66.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
	19.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
▶	59.3%	#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 l l) J U)))
	41.1%	#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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))))
	45.5%	#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 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
▶	44.0%	#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 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.f64 (.f64 J l) #s(literal 2 binary64) U))))
	55.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U)))
	52.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
	24.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
	62.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #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))))
	43.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))

Compiler

Compiled 1 708 to 1 175 computations (31.2% saved)

simplify102.0ms (1.1%)

Memory

10.8MiB live, 108.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
cost-diff	2	(+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)
cost-diff	0	(.f64 (.f64 (*.f64 K K) J) #s(literal -1/4 binary64))
cost-diff	0	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.f64 (.f64 J l) #s(literal 2 binary64) 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 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.f64 (.f64 J l) #s(literal 2 binary64) U))))
cost-diff	4	(fma.f64 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.f64 (.f64 J l) #s(literal 2 binary64) U))
cost-diff	0	(+.f64 J J)
cost-diff	0	(*.f64 (+.f64 J J) l)
cost-diff	0	(fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #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	(sinh.f64 l)
cost-diff	0	(*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64))
cost-diff	0	(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	573
0	99	573
1	221	553
2	699	534
3	2994	534
0	8348	507

Stop Event

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

Calls

Call 1

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

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

localize227.0ms (2.5%)

Memory

-8.0MiB live, 152.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.25	(.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l)
accuracy	1.4373923959084078	(fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J)
accuracy	5.33833495191182	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l))
accuracy	23.87560894556522	#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J))
accuracy	5.281609745280027	(fma.f64 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.f64 (.f64 J l) #s(literal 2 binary64) U))
accuracy	9.38541222797691	(.f64 (.f64 K K) J)
accuracy	21.286361923460593	#s(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) J) #s(literal -1/4 binary64)) l (fma.f64 (.f64 J l) #s(literal 2 binary64) U))))
accuracy	23.189707858824313	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.f64 (.f64 J l) #s(literal 2 binary64) U)))
accuracy	0.0	(*.f64 K K)
accuracy	0.2504015247310343	(fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
accuracy	21.286361923460593	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U))
accuracy	30.263418440676706	#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	0.0	(fma.f64 (+.f64 l l) J U)
accuracy	0.0	(+.f64 l l)
accuracy	10.604116035519407	#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
accuracy	21.286361923460593	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.01171875	(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
accuracy	0.0703125	(*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))
accuracy	27.631388608887672	#s(approx (cos (/ K -2)) #s(literal 1 binary64))

Samples

117.0ms	122×	1	valid
48.0ms	120×	0	valid
17.0ms	14×	2	valid

Compiler

Compiled 355 to 66 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 139.0ms

ival-mult: 48.0ms (34.5% of total)

ival-exp: 20.0ms (14.4% of total)

ival-cos: 19.0ms (13.7% of total)

ival-add: 19.0ms (13.7% of total)

adjust: 17.0ms (12.2% of total)

const: 8.0ms (5.7% of total)

ival-div: 3.0ms (2.2% of total)

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

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

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

exact: 1.0ms (0.7% of total)

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

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

series59.0ms (0.6%)

Memory

17.6MiB live, 54.9MiB allocated

Counts

27 → 146

Calls

Call 1

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

Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(* -1/4 (* J (pow K 2)))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(* J (pow K 2))
(* J (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* J (+ 1 (* (pow l 2) (+ 1/3 (* 1/60 (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 (+ (* 2 l) (/ U J)))
(* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l)))
(* J (+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* 1/4 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l))))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (* l (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))))
(* -1 (* J (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 1)))
(+ 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 l)
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* 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) (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))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 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)))))))
J
(+ J (* 1/3 (* J (pow l 2))))
(+ J (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* 1/3 l)
(* l (+ 1/3 (* 1/60 (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)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U l))))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* 1/60 (* J (* (pow l 5) (cos (* -1/2 K)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/60 (* J (* (pow l 4) (cos (* -1/2 K)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (/ J (pow l 4)))))
(* 1/60 (pow l 3))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 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 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 4))) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K))))))))
(+ 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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* J (- (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))))))))))
(* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (+ (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))) (* (pow K 2) (* l (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (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)))
(pow K 2)
(+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (+ (* 1/192 J) (* (pow K 2) (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(cos (* -1/2 K))
(+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	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) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) J) -1/4) (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* K K) (* (* K K) J) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (* (+ (* 1/60 (* l l)) 1/3) l))
6.0ms	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) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) J) -1/4) (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* K K) (* (* K K) J) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (* (+ (* 1/60 (* l l)) 1/3) l))
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) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) J) -1/4) (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* K K) (* (* K K) J) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (* (+ (* 1/60 (* l l)) 1/3) l))
5.0ms	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) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) J) -1/4) (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* K K) (* (* K K) J) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (* (+ (* 1/60 (* l l)) 1/3) l))
5.0ms	l	@	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) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (+ J J) l) (cos (* -1/2 K))) U) (* (+ J J) l) (+ J J) (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* (* K K) J) -1/4) (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (cos (/ K -2)) (cos (* -1/2 K)) (* K K) (* (* K K) J) (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (* (+ (* 1/60 (* l l)) 1/3) l))

simplify139.0ms (1.5%)

Memory

5.3MiB live, 88.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	517	3057
1	2012	2948
0	8578	2729

Stop Event

1×	iter limit
1×	node limit

Counts

146 → 143

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(+ U (* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l))))
(* -1/4 (* J (pow K 2)))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(* J (pow K 2))
(* J (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(* J (+ 1 (* (pow l 2) (+ 1/3 (* 1/60 (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 (+ (* 2 l) (/ U J)))
(* J (+ (* -1/4 (* (pow K 2) l)) (* 2 l)))
(* J (+ (* -1/4 (* (pow K 2) l)) (+ (* 2 l) (/ U J))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* 1/4 (* (pow K 2) l)))))
(* -1 (* J (+ (* -2 l) (+ (* -1 (/ U J)) (* 1/4 (* (pow K 2) l))))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))
(* -1 (* J (* l (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))))
(* -1 (* J (+ (* -2 (cos (* -1/2 K))) (* -1 (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 1)))
(+ 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 l)
(+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* 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) (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))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* 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)))))))
J
(+ J (* 1/3 (* J (pow l 2))))
(+ J (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))
(* 1/3 l)
(* l (+ 1/3 (* 1/60 (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)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (/ U l))))
(* 1/60 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))
(* 1/60 (* J (* (pow l 5) (cos (* -1/2 K)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 5) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* 1/60 (* J (* (pow l 4) (cos (* -1/2 K)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 4) (+ (* 1/60 (* J (cos (* -1/2 K)))) (+ (* 1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 4))))))
(* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (/ J (pow l 4)))))
(* 1/60 (pow l 3))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 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 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* 1/4 (* J (pow K 2))))))
(* -1 (* l (+ (* -2 J) (+ (* -1 (/ U l)) (* 1/4 (* J (pow K 2)))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* -1 (* (pow l 5) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 5) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 4))) (+ (* -1/3 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/60 (* J (cos (* -1/2 K))))))))
(+ 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 (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(* J (- (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))))))))))
(* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J)))))))
(+ (* l (+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))) (* (pow K 2) (+ (* l (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))))) (* (pow K 2) (+ (* l (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))) (* (pow K 2) (* l (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (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)))
(pow K 2)
(+ (* 2 J) (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* 1/192 J))))))))
(+ (* 2 J) (+ (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) (* (pow K 2) (+ (* -1/4 J) (+ (* -1/8 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (* (pow K 2) (+ (* 1/384 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))) (+ (* 1/192 J) (* (pow K 2) (+ (* -1/23040 J) (* -1/46080 (* J (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))))))))))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (+ (* 2 (/ (* J l) (pow K 2))) (/ U (pow K 2)))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2))))))))
(cos (* -1/2 K))
(+ (* 2 (* J (cos (* -1/2 K)))) (* J (* (pow l 2) (* (cos (* -1/2 K)) (+ 1/3 (* 1/60 (pow l 2)))))))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (+ (* -1/4 (/ (* J (* (pow K 2) l)) U)) (* 2 (/ (* J l) U)))))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))) U)) 1)))

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

rewrite191.0ms (2.1%)

Memory

5.4MiB live, 132.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	518
0	99	506
1	400	468
2	3268	468
0	8597	451

Stop Event

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

Counts

27 → 694

Calls

Call 1

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

Outputs
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (pow.f64 U #s(literal 3 binary64)))) (.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (fma.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 U (.f64 (.f64 J (sinh.f64 l)) (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (-.f64 (.f64 (.f64 J (sinh.f64 l)) (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) U)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l)) #s(literal 3 binary64)) (.f64 J #s(literal 2 binary64)) (pow.f64 U #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 U U)) (-.f64 (.f64 (.f64 J (sinh.f64 l)) (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) U))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l)) #s(literal 3 binary64)) (.f64 J #s(literal 2 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (sinh.f64 l)) (*.f64 J U)))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l)) #s(literal 3 binary64)) (.f64 J #s(literal 2 binary64)) (pow.f64 U #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))))) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64))))
(fma.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) U)
(fma.f64 (.f64 J (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l)) J) #s(literal 2 binary64) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l)) U)
(fma.f64 J (.f64 (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (sinh.f64 l)) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (sinh.f64 l)) J U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l)) J) U)
(fma.f64 (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l)) (.f64 J #s(literal 2 binary64)) U)
(fma.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) (.f64 J #s(literal 2 binary64))) U)
(fma.f64 (sinh.f64 l) (.f64 (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) J) U)
(fma.f64 (sinh.f64 l) (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (.f64 J #s(literal 2 binary64))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) U)) (/.f64 (.f64 U U) (-.f64 (.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64)))) U)))
(-.f64 U (.f64 (neg.f64 J) (.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (sinh.f64 l))))
(-.f64 U (.f64 (neg.f64 (.f64 (*.f64 #s(literal 2 binary64) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) (sinh.f64 l))) J))
(-.f64 U (.f64 (neg.f64 (.f64 #s(approx (cos (/ K -2)) #s(literal 1 binary64)) (sinh.f64 l))) (*.f64 J #s(literal 2 binary64))))
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(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (.f64 J #s(literal 2 binary64)))) l)) U)
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(*.f64 (neg.f64 K) (neg.f64 K))
(*.f64 K K)
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(pow.f64 (neg.f64 (neg.f64 K)) #s(literal 2 binary64))
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(neg.f64 (*.f64 K (neg.f64 K)))
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(fabs.f64 (*.f64 (neg.f64 K) K))
(fabs.f64 (*.f64 K (neg.f64 K)))
(fabs.f64 (neg.f64 (*.f64 K K)))
(fabs.f64 (*.f64 K K))
(exp.f64 (*.f64 (log.f64 (neg.f64 K)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 K) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 K) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 K) #s(literal 2 binary64))))
(.f64 (.f64 J (neg.f64 K)) (neg.f64 K))
(.f64 (.f64 J K) K)
(.f64 (neg.f64 K) (.f64 (neg.f64 K) J))
(.f64 (.f64 K K) J)
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#s(approx (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (.f64 J #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 3 binary64)) (fma.f64 J (-.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64))) (.f64 (fma.f64 J (-.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64))) (pow.f64 J #s(literal 3 binary64)))) (pow.f64 (fma.f64 J (-.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64))) #s(literal 2 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 J (-.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 J J)) (-.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) J))
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 J J (-.f64 (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (.f64 (.f64 (*.f64 l l) J) J)))))
(/.f64 (+.f64 (pow.f64 J #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 J (-.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64))))
(fma.f64 (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) l) l) J J)
(fma.f64 (.f64 (.f64 J l) (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) l J)
(fma.f64 (.f64 (.f64 l l) J) (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) J)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) l) (*.f64 J l) J)
(fma.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (.f64 (*.f64 l l) J) J)
(fma.f64 (.f64 J l) (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) l) J)
(fma.f64 J (.f64 l (.f64 (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) l)) J)
(fma.f64 l (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) J)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) J)) (/.f64 (.f64 J J) (-.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (*.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) J)))
(-.f64 J (.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (.f64 J l))) l))
(-.f64 J (.f64 (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) l)) (.f64 J l)))
(-.f64 J (.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) (.f64 (.f64 l l) J)))
(-.f64 J (.f64 (neg.f64 (.f64 J l)) (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) l)))
(+.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 3 binary64)) (fma.f64 J (-.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 J #s(literal 3 binary64)) (fma.f64 J (-.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))) (pow.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))) J)
(+.f64 J (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) l)
(.f64 l (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/9 binary64)) l) (-.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/216000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) l) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (.f64 l (-.f64 (.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/9 binary64))) (-.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(/.f64 (.f64 l (fma.f64 #s(literal 1/216000 binary64) (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/3600 binary64) (pow.f64 l #s(literal 4 binary64)) (-.f64 #s(literal 1/9 binary64) (.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(fma.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) l (*.f64 #s(literal 1/3 binary64) l))
(fma.f64 #s(literal 1/3 binary64) l (.f64 (.f64 (*.f64 l l) #s(literal 1/60 binary64)) l))
(fma.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)) (*.f64 l #s(literal 1/3 binary64)))
(fma.f64 l #s(literal 1/3 binary64) (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64))))
(+.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) l) (.f64 #s(literal 1/3 binary64) l))
(+.f64 (.f64 #s(literal 1/3 binary64) l) (.f64 (.f64 (.f64 l l) #s(literal 1/60 binary64)) l))
(+.f64 (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64))) (.f64 l #s(literal 1/3 binary64)))
(+.f64 (.f64 l #s(literal 1/3 binary64)) (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64))))

eval104.0ms (1.1%)

Memory: -4.2MiB live, 127.1MiB allocated
Compiler: Compiled 35 526 to 3 211 computations (91% saved)

prune60.0ms (0.7%)

Memory

-11.4MiB live, 111.1MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	625	28	653
Fresh	7	6	13
Picked	2	3	5
Done	0	2	2
Total	634	39	673

Accuracy

100.0%

Counts

673 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	85.3%	(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
	70.5%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64))))) l)) U)
	79.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
	72.9%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) J)) l)) U)
	74.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
✓	80.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
	74.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
	38.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
✓	67.0%	#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))
	43.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 (.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))
	45.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
✓	46.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U))
	66.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
	29.4%	#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))) J) (.f64 J #s(literal 2 binary64)) U))
	23.4%	#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 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
	75.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
	54.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
✓	59.3%	#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 l l) J U)))
	37.5%	#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 J J) J U)))
	44.7%	#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 (.f64 J l) #s(literal 2 binary64)) J U)))
	39.8%	#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)) (.f64 #s(literal 4 binary64) (.f64 J J))) J U)))
	40.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (.f64 J #s(literal 2 binary64)) (fabs.f64 J)) J U)))
	39.5%	#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 #s(literal 2 binary64)) J) J U)))
	46.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 (fabs.f64 (.f64 J l)) #s(literal 2 binary64)) J U)))
	37.5%	#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 (fabs.f64 J) #s(literal 2 binary64)) J U)))
	39.5%	#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 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
	55.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U)))
	51.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 J l)) #s(literal 2 binary64) U)))
	52.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
	32.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
	29.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
	39.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
	32.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
	26.6%	#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 #s(literal 4 binary64) (.f64 J J) (.f64 (neg.f64 U) U)) (-.f64 (*.f64 J #s(literal 2 binary64)) U))))
	24.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
	62.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #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 (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
	7.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
	23.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))

Compiler

Compiled 4 349 to 1 627 computations (62.6% saved)

regimes143.0ms (1.6%)

Memory

10.8MiB live, 143.1MiB allocated

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #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(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 2 binary64)) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.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)) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #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)

Calls

10 calls:

16.0ms	K
16.0ms	J
15.0ms	(/.f64 K #s(literal 2 binary64))
15.0ms	U
15.0ms	l

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)

regimes135.0ms (1.5%)

Memory

0.8MiB live, 127.0MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #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(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))

Outputs

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

Calls

10 calls:

17.0ms	U
15.0ms	J
14.0ms	K
14.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	l

Results

Accuracy	Segments	Branch
97.4%	2	`(/.f64 K #s(literal 2 binary64))`
98.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
95.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
95.7%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
95.7%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
95.7%	1	`J`
95.7%	1	`l`
97.4%	2	`K`
95.7%	1	`U`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes133.0ms (1.4%)

Memory

-11.0MiB live, 124.0MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #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(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

10 calls:

16.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	l
14.0ms	J
14.0ms	K
14.0ms	U

Results

Accuracy	Segments	Branch
94.2%	1	`J`
94.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
94.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
94.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
94.2%	1	`l`
94.2%	1	`U`
94.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
96.6%	2	`(/.f64 K #s(literal 2 binary64))`
96.6%	2	`K`
97.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes44.0ms (0.5%)

Memory

7.2MiB live, 41.0MiB allocated

Counts

56 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) l (*.f64 #s(literal 2 binary64) l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
94.2%	2	`(/.f64 K #s(literal 2 binary64))`
94.2%	2	`K`
96.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes97.0ms (1.1%)

Memory

-21.1MiB live, 107.6MiB allocated

Counts

54 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal -1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Outputs

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

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

Calls

8 calls:

14.0ms	l
13.0ms	U
13.0ms	J
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms	(+.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
91.4%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
91.4%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
91.8%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
91.8%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.4%	3	`J`
96.1%	5	`l`
88.5%	2	`U`
95.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 49 to 63 computations (-28.6% saved)

regimes88.0ms (1%)

Memory

13.7MiB live, 44.8MiB allocated

Counts

53 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)

Outputs

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

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

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

Calls

7 calls:

13.0ms	l
13.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	J
13.0ms	K
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
91.8%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
91.6%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
87.9%	2	`J`
91.4%	3	`l`
85.3%	1	`(/.f64 K #s(literal 2 binary64))`
85.3%	1	`K`
90.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 38 to 52 computations (-36.8% saved)

regimes47.0ms (0.5%)

Memory

-12.7MiB live, 19.0MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))

Outputs

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

Calls

3 calls:

23.0ms

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

11.0ms

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

10.0ms

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

Results

Accuracy	Segments	Branch
90.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
91.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
91.4%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 32 to 34 computations (-6.3% saved)

regimes93.0ms (1%)

Memory

12.9MiB live, 43.9MiB allocated

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.f64 J #s(literal 2 binary64)) U)))
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #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 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 l l))) J U)))

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

Calls

8 calls:

15.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
12.0ms	J
12.0ms	U
12.0ms	l
11.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
85.3%	1	`J`
85.3%	1	`U`
85.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
85.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
85.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
85.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
85.3%	1	`l`
87.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 49 to 63 computations (-28.6% saved)

regimes162.0ms (1.8%)

Memory

-11.8MiB live, 53.5MiB allocated

Counts

48 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 J #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 l #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 J) #s(literal 2 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 J J) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) l)) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (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 #s(literal 2 binary64)) 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 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 (fabs.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 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) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 (.f64 (.f64 K K) J) l) #s(literal -1/4 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 #s(literal 4 binary64) (*.f64 J J)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #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 (*.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 (.f64 (+.f64 J J) l) #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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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)) (.f64 #s(literal 4 binary64) (.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) #s(approx (+ (* (* 2 l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( -1/2 K)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) J) (.f64 J #s(literal 2 binary64)) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 #s(approx (* (+ (* 1/60 (* l l)) 1/3) l) (.f64 #s(literal 1/3 binary64) l)) (.f64 J l) J) 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 l #s(literal 2 binary64) (+.f64 U (.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 K K) J)) l)))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (+ (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) J) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #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 (.f64 (.f64 (.f64 K K) J) #s(literal -1/4 binary64)) l (fma.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 (.f64 (.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (.f64 #s(literal 2 binary64) l) J U))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U)
#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) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 J J) (.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) (fma.f64 (.f64 (+.f64 J J) l) #s(approx (cos ( -1/2 K)) (fma.f64 (-.f64 (.f64 #s(literal 1/384 binary64) (.f64 K K)) #s(literal 1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) l) (*.f64 J l) J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 (fma.f64 (.f64 (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #s(literal 1/3 binary64)) (*.f64 J l)) l J) J)) l)) U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (fma.f64 l #s(literal 2 binary64) (.f64 (.f64 (.f64 l l) J) (fma.f64 (.f64 #s(literal 1/60 binary64) l) l #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) #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))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ (* (* (+ (* -1/23040 (* (* (* K K) l) J)) (* 1/192 (* J l))) K) K) (* -1/4 (* J l))) (* K K)) (+ (* (* 2 l) J) U)) (.f64 (fma.f64 (fma.f64 (.f64 l (fma.f64 (.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) (.f64 K K) (.f64 #s(literal -1/4 binary64) l)) (.f64 K K) (*.f64 #s(literal 2 binary64) l)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (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 #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 (fma.f64 (.f64 #s(literal -1/4 binary64) J) l (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal 1/192 binary64))) K) K (fma.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 (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))))
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (+ (* (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) l) (fma.f64 (.f64 l (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64))) J (.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 l l) J)) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) (.f64 #s(literal -1/4 binary64) J)) (.f64 (*.f64 K K) l))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 8 binary64) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 l #s(literal 9 binary64)) (*.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 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 l l))) J U)))

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

Calls

10 calls:

39.0ms	K
37.0ms	J
12.0ms	U
12.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	l

Results

Accuracy	Segments	Branch
80.0%	1	`(/.f64 K #s(literal 2 binary64))`
80.0%	1	`K`
82.2%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
82.2%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
80.0%	1	`U`
82.2%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
82.2%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
83.3%	3	`J`
82.2%	2	`l`
82.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes87.0ms (1%)

Memory

9.1MiB live, 40.9MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

10 calls:

18.0ms	J
8.0ms	K
8.0ms	(/.f64 K #s(literal 2 binary64))
8.0ms	U
8.0ms	l

Results

Accuracy	Segments	Branch
74.0%	1	`U`
74.0%	1	`(/.f64 K #s(literal 2 binary64))`
74.0%	1	`K`
74.0%	1	`J`
74.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
74.0%	1	`l`
74.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
74.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
74.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
76.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes9.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Counts

29 → 2

Calls

Call 1

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

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 (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 l l))) J U)))

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
76.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes66.0ms (0.7%)

Memory

3.1MiB live, 34.5MiB allocated

Counts

26 → 2

Calls

Call 1

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

Calls

10 calls:

10.0ms	U
7.0ms	J
7.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	K
7.0ms	l

Results

Accuracy	Segments	Branch
64.1%	2	`(/.f64 K #s(literal 2 binary64))`
63.9%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
64.2%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
64.1%	2	`K`
65.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
65.8%	3	`J`
64.6%	2	`l`
62.0%	1	`U`
65.7%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
64.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes65.0ms (0.7%)

Memory

-20.7MiB live, 14.1MiB allocated

Counts

23 → 3

Calls

Call 1

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

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

Calls

4 calls:

47.0ms	l
6.0ms	J
6.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
5.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
65.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
64.0%	3	`J`
66.7%	4	`l`
62.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 14 to 24 computations (-71.4% saved)

regimes32.0ms (0.3%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

22 → 3

Calls

Call 1

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

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

6 calls:

6.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	K
5.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
4.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
4.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
64.8%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
62.4%	2	`(/.f64 K #s(literal 2 binary64))`
62.4%	2	`K`
64.7%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
64.7%	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 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 46 to 54 computations (-17.4% saved)

regimes26.0ms (0.3%)

Memory

-17.2MiB live, 14.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

6 calls:

8.0ms	U
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
62.6%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
62.6%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
61.8%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
59.3%	1	`U`
61.8%	2	`l`
61.7%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 44 to 52 computations (-18.2% saved)

regimes25.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated

Counts

12 → 2

Calls

Call 1

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

Calls

7 calls:

4.0ms	(/.f64 K #s(literal 2 binary64))
4.0ms	l
4.0ms	J
4.0ms	K
3.0ms	(+.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
61.8%	2	`l`
59.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
59.3%	1	`(/.f64 K #s(literal 2 binary64))`
59.3%	1	`K`
59.3%	1	`J`
59.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
59.3%	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 38 to 52 computations (-36.8% saved)

regimes9.0ms (0.1%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

Calls

3 calls:

3.0ms	l
2.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
59.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
61.0%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
61.0%	2	`l`

Compiler

Compiled 15 to 21 computations (-40% saved)

regimes28.0ms (0.3%)

Memory

-22.9MiB live, 8.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

4 calls:

19.0ms	l
3.0ms	K
3.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

Accuracy	Segments	Branch
59.3%	1	`(/.f64 K #s(literal 2 binary64))`
59.3%	1	`K`
59.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
59.3%	1	`l`

Compiler

Compiled 11 to 22 computations (-100% saved)

regimes17.0ms (0.2%)

Memory

15.5MiB live, 15.5MiB allocated

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:

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

Results

Accuracy	Segments	Branch
44.2%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
44.2%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
44.2%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
39.1%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
45.1%	3	`l`
44.1%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
41.6%	2	`J`
45.2%	3	`U`
39.1%	1	`(/.f64 K #s(literal 2 binary64))`
39.1%	1	`K`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes35.0ms (0.4%)

Memory

-21.8MiB live, 10.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

26.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
2.0ms	J
2.0ms	l
1.0ms	U
1.0ms	(+.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
39.1%	1	`J`
39.1%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
39.1%	1	`l`
39.1%	1	`U`
39.1%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
39.1%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
39.1%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`

Compiler

Compiled 45 to 56 computations (-24.4% saved)

regimes10.0ms (0.1%)

Memory

12.8MiB live, 12.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	K
1.0ms	J
1.0ms	U
1.0ms	(+.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
32.8%	1	`J`
32.8%	1	`U`
32.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
32.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
32.8%	1	`(/.f64 K #s(literal 2 binary64))`
32.8%	1	`K`
32.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
32.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
32.8%	1	`l`
32.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.771739089685623	0.7782699740806945

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.771739089685623	0.7782699740806945

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6569390255503381	0.6984000944930915

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.6569390255503381	0.6984000944930915

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.5740358821031674e+236	1.4212586026063652e+287
0.0ms	-1.313268069829931e+290	-5.358328614523342e-185

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06597636633761961	0.12117853154440919

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06597636633761961	0.12117853154440919

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06597636633761961	0.12117853154440919

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06597636633761961	0.12117853154440919

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06597636633761961	0.12117853154440919

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.33892410354901426	0.3528423505547239

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4212586026063652e+287	+inf
0.0ms	-1.5869962052728688e+236	-5.358328614523342e-185

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.4212586026063652e+287	+inf
0.0ms	-1.5869962052728688e+236	-5.358328614523342e-185

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	4.864674221919681e+302	+inf

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch15.0ms (0.2%)

Memory

4.9MiB live, 4.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.6571201127846724	10.110991730759569

Samples

9.0ms

96×

valid

Compiler

Compiled 456 to 351 computations (23% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-exp: 2.0ms (29.2% of total)

ival-cos: 2.0ms (29.2% of total)

ival-mult: 1.0ms (14.6% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.6571201127846724	10.110991730759569

Compiler

Compiled 450 to 345 computations (23.3% saved)

bsearch0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.0	1.5921927568369887e-252

Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify72.0ms (0.8%)

Memory

-15.5MiB live, 16.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	234	1580
1	356	1555
2	789	1551
3	3003	1551

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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6980579422424269/9007199254740992 binary64)) (+.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 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6980579422424269/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5944751508129055/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5944751508129055/9007199254740992 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 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #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 -100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840 binary64)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #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 200000000000000010633203932531929807120677891504902019467139459740877830445843311891900085826986098180514433636250241879259008902761073077463384326180408077533983407946684470268995013675256664624709275670582961344224738611407182763130880 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64))) l U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U))) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (.f64 J (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)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) (+.f64 #s(approx (+ (* (* (+ (* 1/60 (* l l)) 1/3) l) (* J l)) J) (fma.f64 (.f64 #s(literal 1/3 binary64) J) (.f64 l l) J)) J)) l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3152519739159347/9007199254740992 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64))) J)))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 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)) (.f64 #s(literal 4 binary64) (.f64 J J))) J U)))))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64))) J)))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 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 l #s(literal 10 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 (fabs.f64 (.f64 J l)) #s(literal 2 binary64)) J U))))
(if (<=.f64 l #s(literal 10 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)) 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)))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 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 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6980579422424269/9007199254740992 binary64)) (+.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 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 6980579422424269/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (*.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5944751508129055/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 5944751508129055/9007199254740992 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 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #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 -100000000000000006172783352786715688699437231096301125831005285053881337653967155894253917094446479669431045845149126131034590785433956171738211535366987228554259102109161882186134743033813753627273385960246277244994846257890348030815401124236704201912132575831851305036088950921132601507840 binary64)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #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 200000000000000010633203932531929807120677891504902019467139459740877830445843311891900085826986098180514433636250241879259008902761073077463384326180408077533983407946684470268995013675256664624709275670582961344224738611407182763130880 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J #s(literal 2 binary64))) l U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) J U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (+.f64 J J) l) (cos.f64 (.f64 #s(literal -1/2 binary64) K)) U)) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U))) (fma.f64 (.f64 (.f64 (sinh.f64 l) #s(approx (cos (/ K -2)) #s(literal 1 binary64))) #s(literal 2 binary64)) J U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/36028797018963968 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 l l))) J U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx (+ ( (* 2 J) (cos (* -1/2 K))) (* (* (cos (* -1/2 K)) (* J (+ (* 1/60 (* l l)) 1/3))) (* l l))) #s(approx (* J (+ (* (+ (* 1/60 (* l l)) 1/3) (* l l)) 2)) (fma.f64 (.f64 (.f64 l l) J) #s(literal 1/3 binary64) (*.f64 #s(literal 2 binary64) J)))) l)) U))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3152519739159347/9007199254740992 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 (sqrt.f64 (.f64 #s(literal 4 binary64) (.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 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)))))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64))) J)))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 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)) (.f64 #s(literal 4 binary64) (.f64 J J))) J U)))))
(if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -100000000000000005316601966265964903560338945752451009733569729870438915222921655945950042913493049090257216818125120939629504451380536538731692163090204038766991703973342235134497506837628332312354637835291480672112369305703591381565440 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* (* (* K K) J) -1/4) l) (+ (* (* J l) 2) U)) (.f64 (.f64 l (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64))) J)))) (if (<=.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 200000000000000015050434704988037438722854160965167277038508879412704868603093142005078215279324239847878441835103054282802083936344411179354042575387724407831277773948574398143209308142533538198452142423795932681473765005821980690868707107361404506676857273350929369698615436038683754496 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 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) #s(literal 500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 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 l #s(literal 10 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 (fabs.f64 (.f64 J l)) #s(literal 2 binary64)) J U))))
(if (<=.f64 l #s(literal 10 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)) 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)))
(if (<=.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 0 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 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)))

soundness1.7s (18.4%)

Memory

17.1MiB live, 800.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	593
0	112	566
1	433	534
2	3155	534
0	8471	525
0	14	42
0	23	34
1	74	34
2	506	34
3	5967	34
0	8124	33
0	69	518
0	99	506
1	400	468
2	3268	468
0	8597	451
0	442	2716
1	1723	2659
0	8039	2451
0	56	488
0	97	466
1	358	449
2	2643	449
0	8423	443
0	491	3224
1	1992	3107
0	8765	2874
0	132	712
1	513	712
2	2082	602
3	5799	602
0	8486	557
0	517	3057
1	2012	2948
0	8578	2729

Stop Event

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

Compiler

Compiled 3 191 to 1 697 computations (46.8% saved)

preprocess165.0ms (1.8%)

Memory: 9.5MiB live, 158.5MiB allocated
Remove: (abs K)
Compiler: Compiled 3 214 to 532 computations (83.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.2s (23.8%)

explain263.0ms (2.9%)

preprocess118.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify108.0ms (1.2%)

localize71.0ms (0.8%)

series15.0ms (0.2%)

simplify134.0ms (1.5%)

rewrite208.0ms (2.3%)

eval31.0ms (0.3%)

prune36.0ms (0.4%)

simplify109.0ms (1.2%)

localize228.0ms (2.5%)

series79.0ms (0.9%)

simplify194.0ms (2.1%)

rewrite170.0ms (1.9%)

eval82.0ms (0.9%)

prune16.0ms (0.2%)

simplify115.0ms (1.2%)

localize322.0ms (3.5%)

series58.0ms (0.6%)

simplify151.0ms (1.6%)

rewrite187.0ms (2%)

eval89.0ms (1%)

prune30.0ms (0.3%)

simplify102.0ms (1.1%)

localize227.0ms (2.5%)

series59.0ms (0.6%)

simplify139.0ms (1.5%)

rewrite191.0ms (2.1%)

eval104.0ms (1.1%)

prune60.0ms (0.7%)

regimes143.0ms (1.6%)

regimes135.0ms (1.5%)

regimes133.0ms (1.4%)

regimes44.0ms (0.5%)

regimes97.0ms (1.1%)

regimes88.0ms (1%)

regimes47.0ms (0.5%)

regimes93.0ms (1%)

regimes162.0ms (1.8%)

regimes87.0ms (1%)

regimes9.0ms (0.1%)

regimes66.0ms (0.7%)

regimes65.0ms (0.7%)

regimes32.0ms (0.3%)

regimes26.0ms (0.3%)

regimes25.0ms (0.3%)

regimes9.0ms (0.1%)

regimes28.0ms (0.3%)

regimes17.0ms (0.2%)

regimes35.0ms (0.4%)

regimes10.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify72.0ms (0.8%)

soundness1.7s (18.4%)

preprocess165.0ms (1.8%)

end0.0ms (0%)

Profiling