Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.9s (14.7%)

Memory

43.9MiB live, 2 853.6MiB allocated

Samples

747.0ms	1 947×	1	valid
729.0ms	6 309×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-exp: 484.0ms (41.3% of total)

ival-cos: 272.0ms (23.2% of total)

ival-mult: 119.0ms (10.1% of total)

ival-neg: 82.0ms (7% of total)

ival-add: 61.0ms (5.2% of total)

ival-div: 50.0ms (4.3% of total)

ival-sub: 48.0ms (4.1% of total)

adjust: 44.0ms (3.8% of total)

ival-true: 6.0ms (0.5% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess137.0ms (1.1%)

Memory

-14.2MiB live, 70.5MiB allocated

Algorithm

1×	egg-herbie

Rules

1 266×	`times-frac`
1 252×	`lower-fma.f64`
1 252×	`lower-fma.f32`
1 150×	`unsub-neg`
770×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	216
1	162	211
2	455	210
3	1527	210
4	5062	210
0	14	15
0	23	15
1	36	15
2	62	15
3	123	15
4	279	15
5	508	15
6	699	15
7	1099	15
8	1574	15
9	1756	15
10	1805	15
11	1813	15
12	1813	15
0	1813	14

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs K)

explain670.0ms (5.2%)

Memory

-32.8MiB live, 293.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
128	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	120	(-1.505941844955672e-13 -8.542467865594436e-151 1.3091800945206565e+47 9.34968623184897e-72)	-	`(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	120	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	41	0

Confusion

	Predicted +	Predicted -
+	38	0
-	103	115

Precision

0.2695035460992908

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	38	0	0
-	103	1	114

Precision?

0.2676056338028169

Recall?

1.0

Freqs

test

number	freq
0	115
1	121
2	20

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

138.0ms	198×	1	valid
110.0ms	264×	0	valid
85.0ms	50×	2	valid

Compiler

Compiled 164 to 60 computations (63.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-exp: 122.0ms (40.1% of total)

ival-cos: 92.0ms (30.3% of total)

adjust: 67.0ms (22% of total)

ival-mult: 9.0ms (3% of total)

ival-sub: 4.0ms (1.3% of total)

ival-add: 4.0ms (1.3% of total)

ival-div: 3.0ms (1% of total)

ival-neg: 2.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	86.3%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify69.0ms (0.5%)

Memory

19.8MiB live, 59.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 252×	`lower-fma.f64`
1 252×	`lower-fma.f32`
564×	`lower-*.f32`
560×	`lower-*.f64`
270×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	23	61
1	36	61
2	62	61
3	123	61
4	279	61
5	508	61
6	699	61
7	1099	61
8	1574	61
9	1756	61
10	1805	61
11	1813	61
12	1813	61
0	1813	60

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize113.0ms (0.9%)

Memory

-17.2MiB live, 98.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
✓	accuracy	99.9%	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	53.7%	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

31.0ms	99×	1	valid
14.0ms	132×	0	valid
14.0ms	25×	2	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-exp: 23.0ms (51% of total)

ival-cos: 8.0ms (17.7% of total)

ival-mult: 4.0ms (8.9% of total)

adjust: 3.0ms (6.7% of total)

ival-sub: 2.0ms (4.4% of total)

ival-add: 2.0ms (4.4% of total)

ival-div: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Counts

5 → 132

Calls

Call 1

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

Outputs
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<alt (+ 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))))))))))>
#<alt (+ 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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))>
#<alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))>
#<alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>

Calls

33 calls:

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

simplify273.0ms (2.1%)

Memory

35.6MiB live, 453.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
5 948×	`lower-+.f64`
5 948×	`lower-+.f32`
5 120×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1758
1	453	1758
2	1467	1648
3	3574	1648
0	8162	1568

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 128

Calls

Call 1

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

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

rewrite211.0ms (1.6%)

Memory

-0.8MiB live, 288.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 096×	`lower-fma.f64`
4 096×	`lower-fma.f32`
3 120×	`lower-*.f32`
3 116×	`lower-*.f64`
1 830×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37

Stop Event

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

Counts

5 → 264

Calls

Call 1

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

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

eval46.0ms (0.4%)

Memory: -29.8MiB live, 88.6MiB allocated
Compiler: Compiled 11 329 to 1 132 computations (90% saved)

prune55.0ms (0.4%)

Memory

7.1MiB live, 128.7MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	380	12	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	12	393

Accuracy

100.0%

Counts

393 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	99.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
	99.9%	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
	50.6%	(+.f64 (.f64 (.f64 J (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.2%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	91.3%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	86.1%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	91.1%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	88.4%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	83.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U))
	72.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U))

Compiler

Compiled 586 to 364 computations (37.9% saved)

simplify264.0ms (2%)

Memory

30.6MiB live, 382.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	cost-diff	320	(fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64)))
✓	cost-diff	320	(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	cost-diff	320	(fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))
✓	cost-diff	0	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) K)
✓	cost-diff	0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	0	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
✓	cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)

Rules

15 928×	`lower-fma.f32`
15 912×	`lower-fma.f64`
4 414×	`lower-*.f32`
4 376×	`lower-*.f64`
2 542×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	585
0	100	585
1	210	585
2	500	574
3	1249	542
4	2761	542
5	5110	542
0	8380	527

Stop Event

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

Calls

Call 1

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

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

localize347.0ms (2.7%)

Memory

-33.2MiB live, 649.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f64 J #s(literal 1/3 binary64))
✓	accuracy	99.3%	(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓	accuracy	94.0%	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
✓	accuracy	91.1%	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	99.9%	(.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
✓	accuracy	93.1%	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
✓	accuracy	88.4%	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	99.9%	(.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))
✓	accuracy	99.9%	(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
✓	accuracy	99.9%	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	82.7%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) K)
✓	accuracy	100.0%	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	accuracy	99.9%	(fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
✓	accuracy	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))

Samples

122.0ms	99×	1	valid
85.0ms	132×	0	valid
49.0ms	25×	2	valid

Compiler

Compiled 431 to 54 computations (87.5% saved)

Precisions

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

ival-mult: 62.0ms (34.7% of total)

ival-cos: 37.0ms (20.7% of total)

ival-exp: 26.0ms (14.5% of total)

ival-add: 17.0ms (9.5% of total)

adjust: 13.0ms (7.3% of total)

const: 12.0ms (6.7% of total)

ival-div: 6.0ms (3.4% of total)

ival-sinh: 3.0ms (1.7% of total)

ival-sub: 2.0ms (1.1% 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)

series59.0ms (0.5%)

Memory

27.1MiB live, 145.3MiB allocated

Counts

29 → 780

Calls

Call 1

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

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

Calls

195 calls:

Time	Variable		Point	Expression
10.0ms	J	@	0	(+ (* (* l l) (+ (* (* l l) (* J (+ (* (* l l) 1/2520) 1/60))) (* J 1/3))) (* J 2))
4.0ms	l	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
2.0ms	l	@	-inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)
1.0ms	J	@	0	(+ (* l (* l (* J (+ (* (* l l) 1/60) 1/3)))) (* J 2))
1.0ms	K	@	inf	(+ (* (* (* J (cos (* K 1/2))) (sinh l)) 2) U)

simplify342.0ms (2.6%)

Memory

13.6MiB live, 635.7MiB allocated

Algorithm

1×	egg-herbie

Rules

17 100×	`lower-fma.f64`
17 100×	`lower-fma.f32`
7 194×	`lower-*.f64`
7 194×	`lower-*.f32`
5 044×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	379	10759
1	1288	10523
2	3968	9926
0	8117	9366

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 754

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ (* -1/16 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/2 (* J (- (exp l) (/ 1 (exp l))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* 1/768 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* 1/2 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/16 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/92160 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/768 (* J (- (exp l) (/ 1 (exp l))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* l (cos (* 1/2 K))))
(* l (+ (* 1/6 (* J (* (pow l 2) (cos (* 1/2 K))))) (* J (cos (* 1/2 K)))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/120 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/6 (* J (cos (* 1/2 K))))))))
(* l (+ (* J (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/6 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/5040 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/120 (* J (cos (* 1/2 K))))))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* 1/2 (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
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(* J (- (exp l) (exp (* -1 l))))
(* 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) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))))
(* 1/2520 (* J (pow l 6)))
(* (pow l 6) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 6)))
(* (pow l 6) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 6) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* J (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* -1 (* J (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)) 2)))
(* -1 (* J (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)) 2)))
(* -1 (* J (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)) 2)))
(* -1 (* J (- (* (pow l 2) (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)) 2)))
(* 1/3 J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))
(+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))))
(* 1/2520 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* 1/2520 (* J (pow l 4)))
(* (pow l 4) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 4) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 4) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* J (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)))
(* -1 (* J (- (* -1 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))) 1/3)))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* J (+ 1/3 (* 1/60 (pow l 2))))
(* 1/3 J)
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(+ (* 1/60 (* J (pow l 2))) (* 1/3 J))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/60 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/3 (* J l))
(* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))
(* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))
(* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))
(* 1/60 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))
(* 1/60 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))
(* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))
(* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (* l (+ 1/3 (* 1/60 (pow l 2)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (- (exp l) (exp (* -1 l))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* J (+ 1/60 (* 1/2520 (pow l 2))))
(* 1/60 J)
(+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))
(+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))
(+ (* 1/2520 (* J (pow l 2))) (* 1/60 J))
(* 1/2520 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* 1/2520 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 2) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)
(* 1/3 J)

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

rewrite350.0ms (2.7%)

Memory

-10.7MiB live, 390.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 218×	`lower-*.f32`
6 180×	`lower-*.f64`
3 564×	`lower-/.f32`
3 562×	`lower-/.f64`
3 556×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	458
0	100	436
1	374	435
2	2687	435
0	8175	432

Stop Event

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

Counts

29 → 501

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
(fma.f64 J (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 J (.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (sinh.f64 l) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 (.f64 (sinh.f64 l) #s(literal 2 binary64)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (sinh.f64 l) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (*.f64 U U)))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) (.f64 #s(literal 2 binary64) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (*.f64 U U))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (*.f64 U U))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (.f64 U U))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (neg.f64 (.f64 U U)))) (neg.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 3 binary64)) (.f64 U (.f64 U U)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) (.f64 #s(literal 2 binary64) U))))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))) (.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 9 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 6 binary64)) (-.f64 (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U))) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) (.f64 #s(literal 2 binary64) U)) #s(literal 3 binary64)))) (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 6 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U)))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))) (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 6 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 U (.f64 U U)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 4 binary64)) (fma.f64 (.f64 U U) (.f64 U U) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) (.f64 #s(literal 2 binary64) U)) #s(literal 2 binary64)))) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal 4 binary64)) (.f64 (.f64 U U) (.f64 U U))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) (neg.f64 U))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1/3600 binary64) (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64)))) (neg.f64 (-.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/151200 binary64))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/16003008000 binary64)) #s(literal 1/216000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal 1/3600 binary64)) (.f64 (*.f64 l l) #s(literal 1/151200 binary64)))))
(.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))))
(*.f64 J #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) J)

eval185.0ms (1.4%)

Memory: -4.3MiB live, 353.5MiB allocated
Compiler: Compiled 42 363 to 2 837 computations (93.3% saved)

prune117.0ms (0.9%)

Memory

23.7MiB live, 232.1MiB allocated

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1 240	15	1 255
Fresh	6	1	7
Picked	4	1	5
Done	0	0	0
Total	1 250	17	1 267

Accuracy

100.0%

Counts

1 267 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	92.2%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
	91.3%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	71.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	80.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	86.1%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
▶	88.4%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
▶	99.9%	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
▶	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
	45.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
▶	47.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	48.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 K K) (.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64))) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))))
	51.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	44.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
▶	54.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 J (.f64 l #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 722 to 452 computations (37.4% saved)

simplify210.0ms (1.6%)

Memory

-22.6MiB live, 286.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 K #s(literal 1/2 binary64))
✓	cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	0	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
✓	cost-diff	320	(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U)
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
✓	cost-diff	0	(fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U)
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
✓	cost-diff	0	(*.f64 l #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	128	(+.f64 (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
✓	cost-diff	320	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
✓	cost-diff	768	(/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))

Rules

5 058×	`lower-fma.f32`
5 040×	`lower-fma.f64`
3 854×	`lower-*.f32`
3 826×	`lower-*.f64`
2 712×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	486
0	97	478
1	190	478
2	388	474
3	987	464
4	2313	464
5	4399	464
6	7973	464
0	8670	456

Stop Event

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

Calls

Call 1

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

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

localize727.0ms (5.6%)

Memory

38.0MiB live, 1 037.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
✓	accuracy	99.9%	(*.f64 l #s(literal 1/60 binary64))
✓	accuracy	99.7%	(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
✓	accuracy	98.8%	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U)
✓	accuracy	99.9%	(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64)))
✓	accuracy	98.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
✓	accuracy	99.9%	(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
✓	accuracy	99.8%	(.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
✓	accuracy	98.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
✓	accuracy	75.6%	#s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64)))
✓	accuracy	100.0%	(fma.f64 J (*.f64 l #s(literal 2 binary64)) U)
✓	accuracy	100.0%	(*.f64 l #s(literal 2 binary64))
✓	accuracy	98.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
✓	accuracy	93.4%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	99.9%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.8%	(/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))

Samples

423.0ms	124×	5	exit
113.0ms	107×	1	valid
54.0ms	11×	0	valid
21.0ms	14×	2	valid

Compiler

Compiled 369 to 61 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 487.0ms

ival-cos: 182.0ms (37.4% of total)

adjust: 114.0ms (23.4% of total)

ival-mult: 89.0ms (18.3% of total)

ival-add: 29.0ms (6% of total)

ival-exp: 24.0ms (4.9% of total)

const: 18.0ms (3.7% of total)

ival-div: 13.0ms (2.7% of total)

ival-sinh: 12.0ms (2.5% of total)

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

exact: 1.0ms (0.2% of total)

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

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

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

series52.0ms (0.4%)

Memory

-40.0MiB live, 44.1MiB allocated

Counts

25 → 696

Calls

Call 1

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

Outputs
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (/ 1/2 l)>
#<alt (/ (+ 1/2 (* -1/12 (pow l 2))) l)>
#<alt (/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)>
#<alt (/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
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#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))>
#<alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))>
#<alt (+ 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))))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))>
#<alt (* 2 l)>
#<alt (+ (* -1/4 (* (pow K 2) l)) (* 2 l))>
#<alt (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))>
#<alt (+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt (* 2 (* l (cos (* 1/2 K))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 2 J)>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))>
#<alt (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))>
#<alt (* 1/60 (* J (pow l 4)))>
#<alt (* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))>
#<alt (* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))>
#<alt (* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))>
#<alt (* 1/60 (* J (pow l 4)))>
#<alt (* (pow l 4) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))>
#<alt (* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))>
#<alt (* (pow l 4) (+ (* 1/60 J) (+ (* 1/3 (/ J (pow l 2))) (* 2 (/ J (pow l 4))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* J (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))>
#<alt (* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))>
#<alt (* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))>
#<alt (* -1 (* J (- (* -1 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))) 2)))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<alt (+ 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))))))))))>
#<alt (+ 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)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/384 K)>
#<alt (* K (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* K (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* K (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* -1/46080 (pow K 3))>
#<alt (* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 3) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* -1/46080 (pow K 3))>
#<alt (* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))>
#<alt (* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))>
#<alt (* -1 (* (pow K 3) (- 1/46080 (* 1/384 (/ 1 (pow K 2))))))>
#<alt 1/384>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (+ 1/384 (* -1/46080 (pow K 2)))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* -1/46080 (pow K 2))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* (pow K 2) (- (* 1/384 (/ 1 (pow K 2))) 1/46080))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* J (- (exp l) (exp (* -1 l))))>
#<alt (* 1/3 (* J l))>
#<alt (* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))>
#<alt (* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))>
#<alt (* l (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))>
#<alt (* 1/60 (* J (pow l 3)))>
#<alt (* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/60 J) (* 1/3 (/ J (pow l 2)))))>
#<alt (* 1/60 (* J (pow l 3)))>
#<alt (* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))>
#<alt (* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))>
#<alt (* -1 (* (pow l 3) (+ (* -1/3 (/ J (pow l 2))) (* -1/60 J))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* J (* l (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>
#<alt (* 1/60 l)>

Calls

174 calls:

Time	Variable		Point	Expression
26.0ms	K	@	0	(/ (* J (cos (* K 1/2))) (/ 1 (* 2 (sinh l))))
1.0ms	J	@	0	(+ (* J (* l 2)) U)
1.0ms	l	@	-inf	(/ 1 (* 2 (sinh l)))
1.0ms	l	@	inf	(/ 1 (* 2 (sinh l)))
1.0ms	K	@	0	(* K (+ (* (* K K) -1/46080) 1/384))

simplify317.0ms (2.4%)

Memory

49.1MiB live, 396.7MiB allocated

Algorithm

1×	egg-herbie

Rules

13 472×	`lower-fma.f64`
13 472×	`lower-fma.f32`
6 156×	`lower-*.f64`
6 156×	`lower-*.f32`
3 496×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	370	8564
1	1160	8492
2	3415	8086
3	6878	8030
0	8318	7504

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 658

Calls

Call 1

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

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

rewrite332.0ms (2.6%)

Memory

-18.1MiB live, 528.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 816×	`lower-fma.f32`
6 798×	`lower-fma.f64`
5 298×	`lower-*.f32`
5 270×	`lower-*.f64`
3 838×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	367
0	97	349
1	371	349
2	2542	349
0	9131	345

Stop Event

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

Counts

25 → 550

Calls

Call 1

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

Outputs
(+.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (exp.f64 l)) (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (neg.f64 (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 (exp.f64 l) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)))) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (.f64 K (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (.f64 K (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64)))) (neg.f64 (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
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(.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)))
(.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64)) K)
(+.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))
(+.f64 (.f64 (.f64 K K) #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K))) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (/.f64 #s(literal 1/147456 binary64) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(-.f64 (/.f64 #s(literal 1/147456 binary64) (-.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))) (/.f64 (.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K))) (-.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))))
(fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))
(fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))
(fma.f64 (*.f64 K #s(literal -1/46080 binary64)) K #s(literal 1/384 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64)))))
(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) (+.f64 #s(literal 1/147456 binary64) (-.f64 (.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64)))))
(/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64)) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))) (neg.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))) (neg.f64 (+.f64 #s(literal 1/147456 binary64) (-.f64 (.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K))) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64))) (neg.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(/.f64 (-.f64 #s(literal 1/147456 binary64) (.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)))) (-.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K))) (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))) (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) #s(literal 1/147456 binary64))) (.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64)))) (neg.f64 (neg.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/147456 binary64) (.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K))))) (neg.f64 (-.f64 #s(literal 1/384 binary64) (.f64 (.f64 K K) #s(literal -1/46080 binary64)))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (.f64 K K) #s(literal -1/17694720 binary64)))) (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64)) (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 K (.f64 K K)) (.f64 (.f64 K (.f64 K K)) #s(literal -1/97844723712000 binary64)) #s(literal 1/56623104 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) (-.f64 #s(literal 1/147456 binary64) (.f64 (*.f64 K K) #s(literal -1/17694720 binary64))))))
(.f64 (fma.f64 #s(literal 1/2123366400 binary64) (.f64 (.f64 K K) (.f64 K K)) #s(literal -1/147456 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 K (*.f64 K #s(literal -1/46080 binary64)) #s(literal -1/384 binary64))))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) l) J (*.f64 J #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(+.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)))
(+.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l)))
(fma.f64 #s(literal 1/3 binary64) (.f64 J l) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (*.f64 J l)))
(fma.f64 (.f64 J l) #s(literal 1/3 binary64) (.f64 (.f64 J l) (.f64 l (*.f64 l #s(literal 1/60 binary64)))))
(fma.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 (*.f64 J l) #s(literal 1/3 binary64)))
(fma.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l) (.f64 #s(literal 1/3 binary64) (*.f64 J l)))
(/.f64 (.f64 (.f64 J l) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (.f64 (.f64 J l) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64))) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (.f64 J l)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)) (.f64 J l)) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 J l) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (.f64 (.f64 J l) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (.f64 J l))) (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)) (.f64 J l))) (neg.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64))))) (.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (-.f64 (.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l)) (-.f64 (.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))) (.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))))))
(.f64 J (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) J)
(*.f64 l #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) l)

eval248.0ms (1.9%)

Memory: 4.7MiB live, 439.8MiB allocated
Compiler: Compiled 33 531 to 2 273 computations (93.2% saved)

prune188.0ms (1.4%)

Memory

23.2MiB live, 343.2MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 312	14	1 326
Fresh	5	6	11
Picked	3	2	5
Done	0	1	1
Total	1 320	23	1 343

Accuracy

100.0%

Counts

1 343 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
▶	92.2%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
	91.3%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
▶	80.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	86.1%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
	89.8%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
	57.3%	(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
▶	63.9%	(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
▶	71.4%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
	80.9%	(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
✓	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
	48.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
	45.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))) (.f64 l #s(literal 2 binary64)))) J U))
	51.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
	42.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K))) K) K))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	47.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 K (.f64 K #s(literal -1/46080 binary64))))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 l (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	51.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
✓	54.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
	14.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 #s(literal 2 binary64) l))) (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (*.f64 l l))))))
	32.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 l l)) (.f64 U U)) (fma.f64 J (.f64 #s(literal 2 binary64) l) (neg.f64 U)))))
▶	20.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))

Compiler

Compiled 1 038 to 634 computations (38.9% saved)

simplify205.0ms (1.6%)

Memory

-28.0MiB live, 245.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
✓	cost-diff	0	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
✓	cost-diff	0	(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
✓	cost-diff	0	#s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))
✓	cost-diff	0	(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
✓	cost-diff	320	(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
✓	cost-diff	0	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
✓	cost-diff	0	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
✓	cost-diff	320	(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 l (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))
✓	cost-diff	0	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64)))))
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
✓	cost-diff	0	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	0	(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)

Rules

6 360×	`lower-fma.f32`
6 340×	`lower-fma.f64`
4 318×	`lower-*.f32`
4 290×	`lower-*.f64`
1 906×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	564
0	102	554
1	197	554
2	394	546
3	921	536
4	2140	536
5	3613	536
6	6873	536
0	8129	522

Stop Event

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

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))
(fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(*.f64 l l)
l
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 l (.f64 l l))
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64)))))
#s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))
(.f64 l (.f64 J #s(literal 2 binary64)))
l
(*.f64 J #s(literal 2 binary64))
J
#s(literal 2 binary64)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
(.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))
l
(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 l #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 J l)
J
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
#s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
K
(*.f64 K #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
(.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))
l
(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(*.f64 l #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 J l)
J
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
J
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sinh.f64 l)
l
#s(literal 2 binary64)
U

Outputs
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(fma.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) U)
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
J
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(*.f64 K #s(literal 1/2 binary64))
K
#s(literal 1/2 binary64)
#s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))
#s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))
(fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)
(fma.f64 (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)
(fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))
(fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))) #s(literal 1/6 binary64))
(*.f64 l l)
l
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64))
#s(literal 1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 l (.f64 l l))
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64)))))
#s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))
(.f64 l (.f64 J #s(literal 2 binary64)))
l
(*.f64 J #s(literal 2 binary64))
J
#s(literal 2 binary64)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 J l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
(.f64 J (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(.f64 J (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(*.f64 l #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 J l)
J
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) U)
#s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
K
(*.f64 K #s(literal -1/8 binary64))
#s(literal -1/8 binary64)
#s(literal 1 binary64)
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 (.f64 J l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))
(.f64 (.f64 J l) (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
(.f64 J (fma.f64 (.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(.f64 J (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
(fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(*.f64 l #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
(*.f64 J l)
J
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) U)
(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
(.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) (*.f64 J (sinh.f64 l)))
(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
J
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(literal 1 binary64)
(sinh.f64 l)
l
#s(literal 2 binary64)
U

localize353.0ms (2.7%)

Memory

-4.0MiB live, 472.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	99.9%	(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
✓	accuracy	99.8%	(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
✓	accuracy	56.7%	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
✓	accuracy	99.8%	(*.f64 l #s(literal 1/60 binary64))
✓	accuracy	99.3%	(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
✓	accuracy	88.4%	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	53.7%	#s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))
✓	accuracy	99.8%	(*.f64 l #s(literal 1/60 binary64))
✓	accuracy	99.3%	(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
✓	accuracy	88.4%	#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
✓	accuracy	56.7%	#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 J #s(literal 2 binary64))
✓	accuracy	78.4%	#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64)))))
✓	accuracy	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
✓	accuracy	50.3%	#s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))
✓	accuracy	99.8%	(.f64 l (.f64 l l))
✓	accuracy	99.8%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.2%	(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
✓	accuracy	89.6%	#s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))

Samples

109.0ms	107×	1	valid
100.0ms	135×	0	valid
18.0ms	14×	2	valid

Compiler

Compiled 387 to 61 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-cos: 54.0ms (28.8% of total)

ival-mult: 51.0ms (27.2% of total)

const: 22.0ms (11.7% of total)

ival-add: 21.0ms (11.2% of total)

ival-exp: 20.0ms (10.7% of total)

adjust: 13.0ms (6.9% of total)

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

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

exact: 1.0ms (0.5% of total)

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

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

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

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

series22.0ms (0.2%)

Memory

-2.2MiB live, 35.6MiB allocated

Counts

25 → 660

Calls

Call 1

Inputs
#<alt (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)>
#<alt (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))>
#<alt (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))>
#<alt (cos.f64 (*.f64 K #s(literal 1/2 binary64)))>
#<alt #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))>
#<alt #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64)))))>
#<alt #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))>
#<alt (.f64 l (.f64 J #s(literal 2 binary64)))>
#<alt (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))>
#<alt (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)>
#<alt #s(approx (cos (* K 1/2)) #s(literal 1 binary64))>
#<alt #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))>
#<alt (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)>
#<alt #s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))>
#<alt (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))>
#<alt (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)>
#<alt (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))>
#<alt (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))>
#<alt #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))>
#<alt (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))>
#<alt (.f64 l (.f64 l l))>
#<alt (*.f64 J #s(literal 2 binary64))>
#<alt (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))>
#<alt (*.f64 l #s(literal 1/60 binary64))>
#<alt (sinh.f64 l)>

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

Calls

165 calls:

Time	Variable		Point	Expression
6.0ms	l	@	inf	(+ (* (* l l) 1/5040) 1/120)
0.0ms	l	@	-inf	(* l (* l l))
0.0ms	l	@	0	(* l (* l l))
0.0ms	J	@	0	(* l (* J 2))
0.0ms	l	@	0	(* l (* J 2))

simplify439.0ms (3.4%)

Memory

38.1MiB live, 487.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 984×	`lower-fma.f64`
14 984×	`lower-fma.f32`
6 290×	`lower-*.f64`
6 290×	`lower-*.f32`
4 044×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	344	8036
1	1128	7952
2	3461	7538
3	7407	7520
0	8414	7060

Stop Event

1×	iter limit
1×	node limit

Counts

660 → 628

Calls

Call 1

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

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

rewrite487.0ms (3.8%)

Memory

-14.3MiB live, 440.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 850×	`lower-fma.f32`
6 830×	`lower-fma.f64`
4 864×	`lower-*.f32`
4 836×	`lower-*.f64`
3 154×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	375
0	102	359
1	369	359
2	2527	359
0	8596	353

Stop Event

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

Counts

25 → 299

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)
(.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64)))))
#s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))
(.f64 l (.f64 J #s(literal 2 binary64)))
(fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (.f64 J #s(literal 2 binary64)))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
#s(approx (cos (* K 1/2)) #s(literal 1 binary64))
#s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64)))))
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
#s(approx (cos (* K 1/2)) (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)))
(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
(.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l))
(.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))
#s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))
(fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))
(.f64 l (.f64 l l))
(*.f64 J #s(literal 2 binary64))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(*.f64 l #s(literal 1/60 binary64))
(sinh.f64 l)

Outputs
(+.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))))
(+.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 2 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)) #s(literal 2 binary64)) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))))) (/.f64 (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 2 binary64)) (-.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))))))
(fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)) #s(literal 2 binary64))) U)
(fma.f64 J (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) #s(literal 2 binary64)) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)) #s(literal 2 binary64))) U)
(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)) #s(literal 2 binary64)) U)
(fma.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) U)
(fma.f64 (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))) U)
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l))) U)
(fma.f64 (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) #s(literal 2 binary64)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))))) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) #s(literal 2 binary64)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 2 binary64)) (.f64 U U))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))))) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 2 binary64)) (.f64 (.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) (.f64 #s(literal 2 binary64) U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))))) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (*.f64 l l)) l)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) #s(literal 2 binary64)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)))) #s(literal 2 binary64)) (.f64 U U)))))
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(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64)) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) #s(literal 1/14400 binary64))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) #s(literal 1/604800 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64)))) (neg.f64 (-.f64 #s(literal 1/120 binary64) (.f64 (.f64 l l) #s(literal 1/5040 binary64)))))
(pow.f64 (/.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (.f64 l l) #s(literal 1/604800 binary64)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal -1/120 binary64)) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/128024064000 binary64)) #s(literal 1/1728000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) (-.f64 #s(literal 1/14400 binary64) (.f64 (*.f64 l l) #s(literal 1/604800 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/25401600 binary64) #s(literal -1/14400 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal -1/120 binary64))))
(exp.f64 (*.f64 (log.f64 l) #s(literal 3 binary64)))
(pow.f64 l #s(literal 3 binary64))
(pow.f64 (*.f64 l l) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 l #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 3 binary64))
(.f64 l (.f64 l l))
(.f64 (.f64 l l) l)
(*.f64 (pow.f64 l #s(literal 3/2 binary64)) (pow.f64 l #s(literal 3/2 binary64)))
(*.f64 J #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) J)
(+.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(+.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) #s(literal 1/3 binary64)))
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)))
(+.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l)))
(fma.f64 #s(literal 1/3 binary64) (.f64 J l) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (*.f64 J l)))
(fma.f64 (.f64 J l) #s(literal 1/3 binary64) (.f64 (.f64 J l) (.f64 l (*.f64 l #s(literal 1/60 binary64)))))
(fma.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 (*.f64 J l) #s(literal 1/3 binary64)))
(fma.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l) (.f64 #s(literal 1/3 binary64) (*.f64 J l)))
(/.f64 (.f64 (.f64 J l) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) (-.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64))))
(/.f64 (.f64 (.f64 J l) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (.f64 J l)) (-.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (.f64 J l)) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 J l) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 J l) (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (.f64 J l))) (neg.f64 (-.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal 1/9 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (.f64 J l))) (neg.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) #s(literal 1/3 binary64)) (-.f64 (.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64))))) (.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (-.f64 (.f64 (.f64 (.f64 J l) #s(literal 1/3 binary64)) (.f64 (.f64 J l) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 J l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 J l) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l)) (-.f64 (.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))) (.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 J l)) (.f64 #s(literal 1/3 binary64) (.f64 J l))))))
(.f64 J (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 J l))
(.f64 (.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) J)
(*.f64 l #s(literal 1/60 binary64))
(*.f64 #s(literal 1/60 binary64) l)
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)) (/.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))) (/.f64 (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))) (.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(-.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(sinh.f64 l)
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))))
(/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (neg.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (-.f64 (.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))
(.f64 (cosh.f64 l) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))

eval210.0ms (1.6%)

Memory: 2.0MiB live, 267.6MiB allocated
Compiler: Compiled 32 391 to 1 395 computations (95.7% saved)

prune141.0ms (1.1%)

Memory

5.7MiB live, 294.0MiB allocated

Pruning

36 alts after pruning (30 fresh and 6 done)

	Pruned	Kept	Total
New	1 097	17	1 114
Fresh	2	13	15
Picked	2	3	5
Done	0	3	3
Total	1 101	36	1 137

Accuracy

100.0%

Counts

1 137 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	92.2%	(fma.f64 (.f64 (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) J) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64) U)
✓	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
	91.3%	(fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) #s(approx (+ (* (* l l) 1/5040) 1/120) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
	60.5%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
✓	80.9%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U)
	74.7%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U)
	74.3%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
	70.3%	(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
	86.1%	(fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
	89.8%	(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
	57.3%	(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
	61.7%	(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
	61.7%	(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
	59.7%	(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
	74.0%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (.f64 J (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (.f64 J #s(literal 1/3 binary64))) (*.f64 J #s(literal 2 binary64))))) U)
	71.4%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 J #s(literal 2 binary64))))) U)
✓	71.4%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
	68.1%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
	72.8%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U)
	68.1%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U)
	63.0%	(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
	80.9%	(+.f64 (/.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))) U)
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U))
✓	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 l #s(literal 2 binary64))) J U))
	45.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))) (.f64 l #s(literal 2 binary64)))) J U))
	51.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
	42.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 (.f64 (+.f64 #s(literal -1/46080 binary64) (/.f64 #s(literal 1/384 binary64) (.f64 K K))) K) K))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
	47.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 K (.f64 K #s(literal -1/46080 binary64))))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* K 1/2)) (* l 2)) J) U) (.f64 (.f64 l (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	51.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
✓	54.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
	14.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (fma.f64 (.f64 (.f64 J (.f64 J J)) #s(literal 8 binary64)) (.f64 l (.f64 l l)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J (.f64 #s(literal 2 binary64) l))) (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (*.f64 l l))))))
	32.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 l l)) (.f64 U U)) (fma.f64 J (.f64 #s(literal 2 binary64) l) (neg.f64 U)))))
	57.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (-.f64 U (.f64 (/.f64 (.f64 J (*.f64 l #s(literal -2 binary64))) U) U)))))
	20.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
✓	20.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))

Compiler

Compiled 2 076 to 785 computations (62.2% saved)

regimes203.0ms (1.6%)

Memory

-14.9MiB live, 300.3MiB allocated

Counts

59 → 1

Calls

Call 1

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

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

Calls

10 calls:

43.0ms	K
32.0ms	U
19.0ms	(/.f64 K #s(literal 2 binary64))
18.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.0ms	J

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes174.0ms (1.3%)

Memory

9.0MiB live, 383.4MiB allocated

Counts

55 → 1

Calls

Call 1

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

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

Calls

10 calls:

26.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
20.0ms	U
18.0ms	K
17.0ms	J
16.0ms	(/.f64 K #s(literal 2 binary64))

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes193.0ms (1.5%)

Memory

-26.0MiB live, 339.4MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)

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

Calls

10 calls:

33.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
27.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
22.0ms	J
19.0ms	l
17.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
92.2%	1	`J`
96.6%	3	`l`
96.7%	2	`K`
92.2%	1	`U`
92.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
96.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
96.7%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes54.0ms (0.4%)

Memory

27.0MiB live, 103.1MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (*.f64 l l) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)

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

Calls

3 calls:

22.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms	K
14.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
95.8%	2	`K`
95.8%	2	`(/.f64 K #s(literal 2 binary64))`
96.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes17.0ms (0.1%)

Memory

3.2MiB live, 40.3MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

14.0ms

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

Results

Accuracy	Segments	Branch
96.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes78.0ms (0.6%)

Memory

-17.7MiB live, 102.9MiB allocated

Counts

43 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

34.0ms	l
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
14.0ms	(/.f64 K #s(literal 2 binary64))
12.0ms	K

Results

Accuracy	Segments	Branch
96.7%	5	`l`
93.6%	2	`K`
93.6%	2	`(/.f64 K #s(literal 2 binary64))`
94.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes143.0ms (1.1%)

Memory

22.1MiB live, 212.7MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

44.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
15.0ms	K
14.0ms	U
14.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (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
93.2%	2	`K`
93.2%	2	`(/.f64 K #s(literal 2 binary64))`
86.2%	2	`U`
89.1%	3	`J`
88.6%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
88.6%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
88.5%	2	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
89.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
93.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 88 to 69 computations (21.6% saved)

regimes61.0ms (0.5%)

Memory

-9.2MiB live, 99.5MiB allocated

Counts

39 → 4

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms	(/.f64 K #s(literal 2 binary64))
14.0ms	l
11.0ms	K

Results

Accuracy	Segments	Branch
91.7%	4	`l`
82.7%	2	`K`
82.7%	2	`(/.f64 K #s(literal 2 binary64))`
88.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 25 to 21 computations (16% saved)

regimes78.0ms (0.6%)

Memory

17.5MiB live, 148.3MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

21.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
16.0ms	l
11.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
9.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
88.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
86.5%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
86.7%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
86.3%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
86.4%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.1%	5	`l`

Compiler

Compiled 71 to 55 computations (22.5% saved)

regimes122.0ms (0.9%)

Memory

-30.3MiB live, 245.5MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

(fma.f64 (*.f64 (*.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 l (*.f64 l l)) l))) #s(literal 2 binary64) U)

Calls

10 calls:

12.0ms	U
11.0ms	J
9.0ms	(/.f64 K #s(literal 2 binary64))
9.0ms	l
9.0ms	K

Results

Accuracy	Segments	Branch
78.6%	3	`K`
78.6%	3	`(/.f64 K #s(literal 2 binary64))`
77.1%	2	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
77.1%	2	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
74.7%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
74.7%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
74.7%	1	`U`
79.8%	3	`l`
74.7%	1	`J`
81.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes9.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (-.f64 U (.f64 (/.f64 (.f64 J (*.f64 l #s(literal -2 binary64))) U) U)))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))) (.f64 l #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(approx (+ (* (* K K) -1/46080) 1/384) (.f64 K (.f64 K #s(literal -1/46080 binary64))))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (*.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx (cos ( K 1/2)) (fma.f64 (.f64 K K) (fma.f64 K (.f64 K (fma.f64 K (.f64 K #s(literal -1/46080 binary64)) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64))) (.f64 l #s(literal 2 binary64))) J U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (/.f64 (-.f64 (.f64 (.f64 #s(literal 4 binary64) (.f64 J J)) (.f64 l l)) (.f64 U U)) (fma.f64 J (.f64 #s(literal 2 binary64) l) (neg.f64 U)))))
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)

Outputs

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

(fma.f64 (*.f64 (*.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (*.f64 l l) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
81.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

13.6MiB live, 13.6MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (-.f64 U (.f64 (/.f64 (.f64 J (*.f64 l #s(literal -2 binary64))) U) U)))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))) (.f64 l #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)

Outputs

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

(fma.f64 (*.f64 (*.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (*.f64 l l) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U)

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
79.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes27.0ms (0.2%)

Memory

-14.2MiB live, 25.2MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (-.f64 U (.f64 (/.f64 (.f64 J (*.f64 l #s(literal -2 binary64))) U) U)))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))) (.f64 l #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)) U))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (.f64 J l)) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 J (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l l) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)

Outputs

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

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

Calls

2 calls:

20.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
6.0ms	l

Results

Accuracy	Segments	Branch
77.9%	3	`l`
77.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes23.0ms (0.2%)

Memory

15.1MiB live, 53.8MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (-.f64 U (.f64 (/.f64 (.f64 J (*.f64 l #s(literal -2 binary64))) U) U)))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))) (.f64 l #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U)

Outputs

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
72.8%	1	`K`
72.8%	1	`(/.f64 K #s(literal 2 binary64))`
72.8%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
72.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
76.7%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes70.0ms (0.5%)

Memory

-24.3MiB live, 91.0MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 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 (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (-.f64 U (.f64 (/.f64 (.f64 J (*.f64 l #s(literal -2 binary64))) U) U)))))
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U)
(fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)
(fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))))))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* 1/2 K)) (fma.f64 K (.f64 K (fma.f64 (.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64))) #s(literal 1 binary64))) (.f64 J (.f64 l #s(literal 2 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (fma.f64 K (.f64 K (.f64 l (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)))) (.f64 l #s(literal 2 binary64)))) J U))

Outputs

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

(fma.f64 (*.f64 (*.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (*.f64 (*.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U)

Calls

10 calls:

30.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
5.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
4.0ms	U
4.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
70.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
70.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
70.3%	1	`K`
70.3%	1	`(/.f64 K #s(literal 2 binary64))`
70.3%	1	`U`
70.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
70.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
70.3%	1	`J`
70.3%	1	`l`
74.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes4.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
72.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
72.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes29.0ms (0.2%)

Memory

7.0MiB live, 44.2MiB allocated

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

7.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	l
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	U
2.0ms	K

Results

Accuracy	Segments	Branch
54.3%	1	`J`
56.6%	2	`U`
63.6%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
63.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
63.6%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
54.3%	1	`K`
54.3%	1	`(/.f64 K #s(literal 2 binary64))`
63.6%	3	`l`
63.6%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
58.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes12.0ms (0.1%)

Memory

-8.6MiB live, 27.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

5 calls:

4.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
2.0ms	l
2.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
2.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
2.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Results

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

Compiler

Compiled 63 to 48 computations (23.8% saved)

regimes24.0ms (0.2%)

Memory

-20.7MiB live, 40.4MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

9 calls:

9.0ms	U
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms	K
2.0ms	l

Results

Accuracy	Segments	Branch
54.3%	1	`K`
54.3%	1	`(/.f64 K #s(literal 2 binary64))`
54.3%	1	`U`
54.3%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
54.3%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
54.3%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
54.3%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
54.3%	1	`l`
54.3%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 88 to 69 computations (21.6% saved)

regimes18.0ms (0.1%)

Memory

2.0MiB live, 39.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

4.0ms	l
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	K
2.0ms	J
2.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
20.0%	1	`J`
20.0%	1	`l`
20.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
20.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
20.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
20.0%	1	`K`
20.0%	1	`U`
20.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
20.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
20.0%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9980853107545686	0.9990159817879452

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9980853107545686	0.9990159817879452

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9980853107545686	0.9990159817879452

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3621039115181571	0.40716522583015224

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08101191069270182	0.052284731098296316

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch67.0ms (0.5%)

Memory

3.2MiB live, 121.4MiB allocated

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
24.0ms	5.0743426764978484e+109	4.27930185987568e+122
18.0ms	8787510184.31619	3085206602505.641
20.0ms	-55.46262685818367	-0.08177300628212154

Samples

41.0ms

416×

valid

Compiler

Compiled 974 to 683 computations (29.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-cos: 8.0ms (27.5% of total)

ival-exp: 6.0ms (20.6% of total)

ival-mult: 5.0ms (17.2% of total)

ival-add: 3.0ms (10.3% of total)

ival-div: 2.0ms (6.9% of total)

ival-sub: 2.0ms (6.9% of total)

ival-neg: 2.0ms (6.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.08101191069270182	0.052284731098296316

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.2094405713563133	-0.2019799408778485

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.2094405713563133	-0.2019799408778485

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.1782958315715249	-0.14785972841767345

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0302869668521453e-13	0.00035649897324741
0.0ms	-0.0008521210277546709	-5.552891479965183e-12

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0302869668521453e-13	0.00035649897324741
0.0ms	-0.0008521210277546709	-5.552891479965183e-12

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify21.0ms (0.2%)

Memory

-6.5MiB live, 31.7MiB allocated

Algorithm

1×	egg-herbie

Rules

90×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`sub-neg_binary64`
4×	`neg-sub0_binary64`
4×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	201	1402
1	253	1402
2	258	1402
3	261	1402
4	262	1402

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 l #s(literal -3602879701896397/1125899906842624 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal 9000000000 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)) (if (<=.f64 l #s(literal 9499999999999999953376612799624380701529955288902014722577470785409908172559875353598179387365228682046532283603087261696 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))

Outputs
(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 (.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8998192055486251/9007199254740992 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 (.f64 l l) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 3602879701896397/9007199254740992 binary64)) (fma.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (fma.f64 #s(literal 1/3 binary64) (.f64 l l) #s(literal 2 binary64)))) U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 l #s(literal -3602879701896397/1125899906842624 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal 9000000000 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)) (if (<=.f64 l #s(literal 9499999999999999953376612799624380701529955288902014722577470785409908172559875353598179387365228682046532283603087261696 binary64)) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))))
(if (<=.f64 l #s(literal -3602879701896397/1125899906842624 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64))))) #s(literal 2 binary64) U) (if (<=.f64 l #s(literal 9000000000 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)) (if (<=.f64 l #s(literal 9499999999999999953376612799624380701529955288902014722577470785409908172559875353598179387365228682046532283603087261696 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) (sinh.f64 l)) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (sinh.f64 l) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 #s(approx (sinh l) (fma.f64 (fma.f64 (.f64 l l) (fma.f64 (.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 l (.f64 l l)) l)) (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64)))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7385903388887613/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l #s(approx (+ ( l (* (+ (* l (* l 1/60)) 1/3) (* J l))) (* J 2)) (.f64 l (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) l) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 (.f64 (.f64 J #s(approx (cos ( K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 (.f64 l l) (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) (fma.f64 #s(approx (cos (* K 1/2)) (fma.f64 K (.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))) #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U) (fma.f64 #s(approx (cos ( K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 (.f64 (.f64 J #s(approx (cos (* K 1/2)) #s(literal 1 binary64))) #s(approx (sinh l) (fma.f64 l (.f64 (.f64 l l) #s(literal 1/6 binary64)) l))) #s(literal 2 binary64) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 l #s(approx ( (+ (* l (* l 1/60)) 1/3) (* J l)) (.f64 J (.f64 l #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5404319552844595/36028797018963968 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U)) (fma.f64 #s(approx (cos (* K 1/2)) #s(literal 1 binary64)) #s(approx (* J (- (exp l) (exp (neg l)))) (.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) U))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* K 1/2)) (* l 2)) (.f64 l (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))) J U))))
(if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal -1152921504606847/2305843009213693952 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U))) (if (<=.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 3961408125713217/19807040628566084398385987584 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (.f64 l #s(literal 2 binary64)) U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 J (*.f64 l #s(literal 2 binary64)) U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) #s(approx (+ (* J (* l 2)) U) (.f64 l (.f64 J #s(literal 2 binary64))))))

soundness2.2s (17.1%)

Memory

-120.5MiB live, 1 648.2MiB allocated

Rules

17 100×	`lower-fma.f64`
17 100×	`lower-fma.f32`
16 158×	`lower-fma.f64`
16 158×	`lower-fma.f32`
14 984×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	458
0	100	436
1	374	435
2	2687	435
0	8175	432
0	379	10759
1	1288	10523
2	3968	9926
0	8117	9366
0	145	1758
1	453	1758
2	1467	1648
3	3574	1648
0	8162	1568
0	14	46
0	23	38
1	72	38
2	433	38
0	4485	37
0	344	8036
1	1128	7952
2	3461	7538
3	7407	7520
0	8414	7060
0	370	8564
1	1160	8492
2	3415	8086
3	6878	8030
0	8318	7504

Stop Event

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

Compiler

Compiled 2 806 to 1 367 computations (51.3% saved)

preprocess219.0ms (1.7%)

Memory: -14.0MiB live, 267.0MiB allocated
Remove: (abs K)
Compiler: Compiled 1 720 to 368 computations (78.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.9s (14.7%)

preprocess137.0ms (1.1%)

explain670.0ms (5.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify69.0ms (0.5%)

localize113.0ms (0.9%)

series14.0ms (0.1%)

simplify273.0ms (2.1%)

rewrite211.0ms (1.6%)

eval46.0ms (0.4%)

prune55.0ms (0.4%)

simplify264.0ms (2%)

localize347.0ms (2.7%)

series59.0ms (0.5%)

simplify342.0ms (2.6%)

rewrite350.0ms (2.7%)

eval185.0ms (1.4%)

prune117.0ms (0.9%)

simplify210.0ms (1.6%)

localize727.0ms (5.6%)

series52.0ms (0.4%)

simplify317.0ms (2.4%)

rewrite332.0ms (2.6%)

eval248.0ms (1.9%)

prune188.0ms (1.4%)

simplify205.0ms (1.6%)

localize353.0ms (2.7%)

series22.0ms (0.2%)

simplify439.0ms (3.4%)

rewrite487.0ms (3.8%)

eval210.0ms (1.6%)

prune141.0ms (1.1%)

regimes203.0ms (1.6%)

regimes174.0ms (1.3%)

regimes193.0ms (1.5%)

regimes54.0ms (0.4%)

regimes17.0ms (0.1%)

regimes78.0ms (0.6%)

regimes143.0ms (1.1%)

regimes61.0ms (0.5%)

regimes78.0ms (0.6%)

regimes122.0ms (0.9%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes27.0ms (0.2%)

regimes23.0ms (0.2%)

regimes70.0ms (0.5%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes29.0ms (0.2%)

regimes12.0ms (0.1%)

regimes24.0ms (0.2%)

regimes18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch67.0ms (0.5%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.2%)

soundness2.2s (17.1%)

preprocess219.0ms (1.7%)

end0.0ms (0%)

Profiling