Metrics for Maksimov and Kolovsky, Equation (4)

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

sample1.8s (13.4%)

Memory

13.5MiB live, 3 502.6MiB allocated

Samples

720.0ms	1 859×	1	valid
719.0ms	6 397×	0	valid

Precisions

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

ival-exp: 427.0ms (36.2% of total)

ival-cos: 316.0ms (26.8% of total)

ival-mult: 133.0ms (11.3% of total)

ival-add: 73.0ms (6.2% of total)

ival-sub: 69.0ms (5.8% of total)

ival-div: 57.0ms (4.8% of total)

ival-neg: 45.0ms (3.8% of total)

adjust: 43.0ms (3.6% of total)

ival-true: 7.0ms (0.6% of total)

exact: 6.0ms (0.5% of total)

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

Bogosity

preprocess112.0ms (0.8%)

Memory

14.8MiB live, 136.3MiB 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 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Symmetry

(abs K)

explain282.0ms (2.1%)

Memory

9.6MiB live, 392.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
132	0	-	2	(4.983061727118756e-172 0.015658582794384215 8.525385727338718e+93 6.8185143410091216e+187)	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	0	-	`K`
0	0	-	0	-	`(neg.f64 l)`
0	0	-	0	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	0	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	120	(3.2024539534191483e+158 1.0332881345322101e-125 8.435984662566469e+270 3.5383494523942116e+40)	0	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	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	-	0	-	`J`
0	0	-	0	-	`U`
0	0	-	0	-	`(exp.f64 (neg.f64 l))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(exp.f64 l)`
0	0	-	0	-	`l`
0	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	1

Confusion

	Predicted +	Predicted -
+	40	0
-	95	121

Precision

0.2962962962962963

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	40	0	0
-	95	0	121

Precision?

0.2962962962962963

Recall?

1.0

Freqs

test

number	freq
0	121
1	109
2	26

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms	178×	1	valid
46.0ms	68×	2	valid
41.0ms	266×	0	valid

Compiler

Compiled 164 to 60 computations (63.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 106.0ms

ival-exp: 52.0ms (49% of total)

ival-mult: 16.0ms (15.1% of total)

ival-cos: 15.0ms (14.1% of total)

adjust: 7.0ms (6.6% of total)

ival-sub: 4.0ms (3.8% of total)

ival-div: 4.0ms (3.8% of total)

ival-add: 4.0ms (3.8% of total)

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

ival-true: 1.0ms (0.9% of total)

ival-assert: 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

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.7%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify75.0ms (0.6%)

Memory

24.1MiB live, 60.7MiB 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 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 J (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

localize111.0ms (0.8%)

Memory

-73.7MiB live, 176.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	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	53.5%	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

34.0ms	89×	1	valid
20.0ms	34×	2	valid
15.0ms	133×	0	valid

Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-exp: 24.0ms (48.2% of total)

ival-cos: 8.0ms (16.1% of total)

ival-mult: 6.0ms (12.1% of total)

ival-sub: 4.0ms (8% of total)

adjust: 3.0ms (6% of total)

ival-div: 2.0ms (4% of total)

ival-add: 2.0ms (4% of total)

ival-neg: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

-7.8MiB live, 30.7MiB allocated

Counts

4 → 120

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)))>

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)))>

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	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)

simplify459.0ms (3.5%)

Memory

33.4MiB live, 579.2MiB allocated

Algorithm

1×	egg-herbie

Rules

15 664×	`lower-fma.f64`
15 664×	`lower-fma.f32`
5 762×	`lower-+.f64`
5 762×	`lower-+.f32`
4 998×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1686
1	422	1686
2	1391	1576
3	3444	1576
0	8364	1502

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 116

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)))

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

rewrite325.0ms (2.5%)

Memory

18.6MiB live, 251.2MiB 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	42
0	23	34
1	72	34
2	433	34
0	4485	33

Stop Event

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

Counts

4 → 262

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)))

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)
(fma.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 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 J J) (/.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)) (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 (pow.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (/.f64 (+.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 (+.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)))))) (/.f64 (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)))))
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(neg.f64 (/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (-.f64 (neg.f64 l) l))) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))
(/.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (-.f64 (exp.f64 (+.f64 l l)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 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) (cosh.f64 l)))
(/.f64 (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (-.f64 (neg.f64 l) l))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (+.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))))
(/.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 l #s(literal -2 binary64) (-.f64 (neg.f64 l) l)))))))
(/.f64 (-.f64 (exp.f64 (.f64 (.f64 l #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (+.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))))))
(/.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 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))
(/.f64 (-.f64 (.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (exp.f64 (.f64 l #s(literal -3 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (-.f64 (.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 l #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 l #s(literal -2 binary64) (-.f64 (neg.f64 l) l))))) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.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)))) #s(literal 1 binary64)) (.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (-.f64 (neg.f64 l) l)))) (neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 l))))
(/.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (cosh.f64 l))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (fma.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (*.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))))
(/.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)))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))) (.f64 (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))) (+.f64 (/.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 (exp.f64 (.f64 l #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(/.f64 (-.f64 (.f64 (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (+.f64 l l)) (.f64 #s(literal 2 binary64) (cosh.f64 l)))) (.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))))) (fma.f64 (exp.f64 (+.f64 l l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (/.f64 (exp.f64 (-.f64 (neg.f64 l) l)) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (.f64 l #s(literal 3 binary64)) #s(literal 3 binary64))) (exp.f64 (.f64 (.f64 l #s(literal -3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))) (+.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64))))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))) (+.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 (neg.f64 l) l) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 l #s(literal -2 binary64) (-.f64 (neg.f64 l) l))))))
(/.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)))
(.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(.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)))))))
(.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 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(*.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l))))
(.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (cosh.f64 l) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cosh.f64 l)))
(.f64 (neg.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (-.f64 (neg.f64 l) l))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (cosh.f64 l))))
(.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 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 l #s(literal -3 binary64)))) (+.f64 (exp.f64 (.f64 (+.f64 l l) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l)) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (-.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) l (+.f64 l l))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))
(.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (+.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (+.f64 (exp.f64 (+.f64 l l)) (expm1.f64 (-.f64 (neg.f64 l) l))))

eval131.0ms (1%)

Memory: 4.4MiB live, 80.1MiB allocated
Compiler: Compiled 11 089 to 1 113 computations (90% saved)

prune138.0ms (1%)

Memory

-18.2MiB live, 101.5MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	365	13	378
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	13	379

Accuracy

100.0%

Counts

379 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	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 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	51.9%	(+.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 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	94.3%	(+.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)
	96.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 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)
	87.8%	(+.f64 (.f64 (.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))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	94.4%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 (.f64 J (.f64 l l)) (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)
▶	91.0%	(+.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)
▶	86.3%	(+.f64 (.f64 #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))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	65.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (.f64 l #s(literal 2 binary64))))) U)
▶	65.3%	#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))
	86.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
▶	78.0%	#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 628 to 390 computations (37.9% saved)

simplify288.0ms (2.2%)

Memory

14.0MiB live, 259.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(exp.f64 l)
✓	cost-diff	0	(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
✓	cost-diff	0	#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))
✓	cost-diff	6400	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
✓	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	(.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓	cost-diff	0	#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)))))
✓	cost-diff	0	(.f64 #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))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	128	(+.f64 (.f64 #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))))) (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	(sinh.f64 l)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sinh.f64 l))
✓	cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
✓	cost-diff	0	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)

Rules

7 106×	`lower-fma.f32`
7 094×	`lower-fma.f64`
3 378×	`lower-*.f32`
3 346×	`lower-*.f64`
1 528×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	424
0	93	422
1	169	422
2	357	417
3	817	397
4	1544	397
5	2879	397
0	8423	388

Stop Event

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

Calls

Call 1

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

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

localize381.0ms (2.9%)

Memory

4.2MiB live, 273.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f64 l)
✓	accuracy	100.0%	(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)
✓	accuracy	83.6%	#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))
✓	accuracy	53.5%	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
✓	accuracy	99.8%	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.8%	(.f64 l (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))))
✓	accuracy	95.3%	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
✓	accuracy	91.1%	#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%	(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓	accuracy	99.4%	(*.f64 l #s(literal 1/3 binary64))
✓	accuracy	95.6%	(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓	accuracy	85.8%	#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)))))
✓	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	65.4%	#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%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
✓	accuracy	99.9%	(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))

Samples

107.0ms	34×	2	valid
71.0ms	89×	1	valid
53.0ms	133×	0	valid

Compiler

Compiled 330 to 47 computations (85.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-exp: 71.0ms (36.5% of total)

ival-mult: 67.0ms (34.4% of total)

ival-cos: 19.0ms (9.8% of total)

adjust: 11.0ms (5.6% of total)

ival-add: 11.0ms (5.6% of total)

const: 8.0ms (4.1% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series126.0ms (1%)

Memory

-1.3MiB live, 38.9MiB allocated

Counts

27 → 708

Calls

Call 1

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

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

Calls

177 calls:

Time	Variable		Point	Expression
7.0ms	J	@	0	(+ (* l (* l (* J (+ (* (* l l) 1/60) 1/3)))) (* J 2))
3.0ms	K	@	-inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
2.0ms	l	@	inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
2.0ms	l	@	-inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)
1.0ms	K	@	inf	(+ (* (* (* 2 (sinh l)) (cos (* K 1/2))) J) U)

simplify510.0ms (3.9%)

Memory

7.8MiB live, 669.0MiB allocated

Algorithm

1×	egg-herbie

Rules

16 082×	`lower-fma.f64`
16 082×	`lower-fma.f32`
6 692×	`lower-*.f64`
6 692×	`lower-*.f32`
4 496×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	369	9218
1	1252	9020
2	3752	8576
0	8186	8043

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 679

Calls

Call 1

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

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

rewrite396.0ms (3%)

Memory

-22.1MiB live, 805.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 256×	`lower-*.f32`
5 224×	`lower-*.f64`
5 204×	`lower-fma.f32`
5 192×	`lower-fma.f64`
3 722×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	343
0	93	319
1	302	319
2	1823	319
0	8303	317

Stop Event

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

Counts

27 → 558

Calls

Call 1

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

Outputs
(+.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(+.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) 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 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U)
(fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)
(fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 (sinh.f64 l) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) 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 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (/.f64 (.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (cosh.f64 l)) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 U U))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J U))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 U U)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J U)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 U U))) (neg.f64 (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(/.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (.f64 (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 9 binary64)) (.f64 (.f64 U (.f64 U U)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (-.f64 (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J U))) #s(literal 3 binary64)))) (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U)))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 6 binary64)) (.f64 (.f64 U U) (.f64 (.f64 U U) (.f64 U U)))) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 4 binary64)) (fma.f64 (.f64 U U) (.f64 U U) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J U))) #s(literal 2 binary64)))) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 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 (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J) #s(literal 2 binary64)) (.f64 U U)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))
(/.f64 (neg.f64 (-.f64 (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (fma.f64 (/.f64 (.f64 U U) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U)))))))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 U U))) #s(literal -1 binary64))
(.f64 (fma.f64 U (.f64 U U) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 U (-.f64 U (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (.f64 U U)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 U))))
(+.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (exp.f64 l)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (neg.f64 (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 (exp.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (cos.f64 (.f64 K #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (exp.f64 l) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (neg.f64 (exp.f64 (neg.f64 l)))))
(fma.f64 (exp.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))))) (+.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64)))
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(/.f64 (+.f64 (pow.f64 (.f64 (.f64 l (.f64 (.f64 l #s(literal 1/60 binary64)) J)) l) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 J #s(literal 1/3 binary64)) l) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 l (.f64 (.f64 l #s(literal 1/60 binary64)) J)) l) (.f64 (.f64 l (.f64 (.f64 l #s(literal 1/60 binary64)) J)) l) (-.f64 (.f64 (.f64 (.f64 J #s(literal 1/3 binary64)) l) (.f64 (.f64 J #s(literal 1/3 binary64)) l)) (.f64 (.f64 (.f64 l (.f64 (.f64 l #s(literal 1/60 binary64)) J)) l) (.f64 (.f64 J #s(literal 1/3 binary64)) l)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 l J)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 l J)) (.f64 #s(literal 1/3 binary64) (.f64 l J)) (-.f64 (.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l J)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/3 binary64) (.f64 l J)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J)) (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J)) (-.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l J)) (.f64 #s(literal 1/3 binary64) (.f64 l J))) (.f64 (.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l J)) (.f64 #s(literal 1/3 binary64) (.f64 l J))))))
(.f64 l (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))
(.f64 J (.f64 (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l))
(.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l J))
(.f64 (.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) l)
(.f64 (.f64 l J) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
(.f64 (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) J)
(+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))
(+.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))) (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (-.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 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))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l #s(literal 1/60 binary64)) l #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.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)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64))))
(/.f64 (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 (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (*.f64 l l) #s(literal 1/180 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)))))
(/.f64 (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 (neg.f64 (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 (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 #s(literal 1/9 binary64) (-.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 (*.f64 l l) #s(literal 1/180 binary64))))))
(/.f64 (neg.f64 (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 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)))) (-.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (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)) #s(literal 1/9 binary64))) (.f64 (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 (.f64 (fma.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 l l) (.f64 (.f64 l l) (.f64 l l))) #s(literal 1/5832000 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 (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (.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 (.f64 (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64))) (.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)))) #s(literal 1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (+.f64 #s(literal 1/81 binary64) (.f64 (.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 (-.f64 (.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)))) #s(literal 1/81 binary64)) #s(literal 1 binary64)) (.f64 (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 (neg.f64 (neg.f64 (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 (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 (neg.f64 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (.f64 (/.f64 (.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l))) (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))))
(pow.f64 (/.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)))) (fma.f64 (.f64 l (.f64 l l)) (.f64 (.f64 l (.f64 l l)) #s(literal 1/216000 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)) (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(.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 #s(literal 1 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 (fma.f64 #s(literal 1/3600 binary64) (.f64 (.f64 l l) (.f64 l l)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))

eval160.0ms (1.2%)

Memory: 28.7MiB live, 457.8MiB allocated
Compiler: Compiled 36 730 to 2 827 computations (92.3% saved)

prune157.0ms (1.2%)

Memory

-35.9MiB live, 295.2MiB allocated

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	1 218	19	1 237
Fresh	7	1	8
Picked	5	0	5
Done	0	0	0
Total	1 230	20	1 250

Accuracy

100.0%

Counts

1 250 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
	96.9%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U)
	94.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U)
	65.3%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	87.8%	(fma.f64 #s(approx (* (* 2 (sinh l)) (cos (* K 1/2))) (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U)
▶	99.9%	(+.f64 (.f64 (/.f64 J (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	65.3%	#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))
	83.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U))
	43.4%	#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 K (.f64 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))
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) (+.f64 l #s(literal 1 binary64))) (exp.f64 (neg.f64 l))) U))
▶	57.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
	81.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
▶	79.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (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))
	73.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)))) U))
▶	54.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U))
	46.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 l J))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 l J)) (.f64 #s(literal 2 binary64) (.f64 l J))) (+.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)))))) (neg.f64 (*.f64 U U))))))
	48.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	34.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (fma.f64 #s(literal 2 binary64) (.f64 J l) (fma.f64 (.f64 K K) (fma.f64 (.f64 J (.f64 l (.f64 K K))) (fma.f64 #s(literal -1/23040 binary64) (.f64 K K) #s(literal 1/192 binary64)) (.f64 J (.f64 l #s(literal -1/4 binary64)))) U))))
	29.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (cos (* 1/2 K)) (* J (* l 2))) U) (.f64 (.f64 #s(literal 2 binary64) (.f64 J l)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	72.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)))

Compiler

Compiled 856 to 524 computations (38.8% saved)

simplify221.0ms (1.7%)

Memory

10.8MiB live, 401.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

5 510×	`lower-fma.f32`
5 498×	`lower-fma.f64`
3 456×	`lower-*.f32`
3 438×	`lower-*.f64`
1 606×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	373
0	81	365
1	141	365
2	268	365
3	610	345
4	1304	345
5	3179	345
0	8033	340

Stop Event

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

Calls

Call 1

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

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

localize511.0ms (3.9%)

Memory

23.0MiB live, 857.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) #s(literal 2 binary64) U)
✓	accuracy	99.9%	(.f64 (.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l)
✓	accuracy	99.9%	(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
✓	accuracy	99.4%	#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))
✓	accuracy	100.0%	(fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U)
✓	accuracy	97.7%	#s(approx (exp l) #s(literal 1 binary64))
✓	accuracy	91.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
✓	accuracy	53.5%	(-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l)))
✓	accuracy	100.0%	(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
✓	accuracy	99.7%	(.f64 l (fma.f64 (.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))
✓	accuracy	99.6%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	accuracy	91.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (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))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) l)
✓	accuracy	100.0%	(fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U)
✓	accuracy	98.5%	#s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l))
✓	accuracy	91.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U))
✓	accuracy	100.0%	(+.f64 (.f64 (/.f64 J (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	99.9%	(.f64 (/.f64 J (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.9%	(/.f64 J (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))

Samples

309.0ms	122×	5	exit
75.0ms	89×	1	valid
34.0ms	34×	2	valid
4.0ms	11×	0	valid

Compiler

Compiled 281 to 41 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 353.0ms

ival-cos: 148.0ms (41.9% of total)

adjust: 57.0ms (16.1% of total)

ival-mult: 54.0ms (15.3% of total)

ival-exp: 33.0ms (9.3% of total)

ival-add: 26.0ms (7.4% of total)

ival-div: 11.0ms (3.1% of total)

const: 10.0ms (2.8% of total)

ival-sinh: 8.0ms (2.3% of total)

ival-sub: 5.0ms (1.4% of total)

ival-neg: 1.0ms (0.3% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory

-30.9MiB live, 47.6MiB allocated

Counts

23 → 636

Calls

Call 1

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

Outputs
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp 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) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
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#<alt (* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* 1/60 (pow l 3))>
#<alt (* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (* 1/60 (pow l 2))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* 1/60 (pow l 2))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>

Calls

159 calls:

Time	Variable		Point	Expression
8.0ms	l	@	0	(/ 1 (* 2 (sinh l)))
1.0ms	J	@	0	(/ J (/ 1 (* 2 (sinh l))))
1.0ms	l	@	inf	(/ 1 (* 2 (sinh l)))
1.0ms	J	@	inf	(+ (* (/ J (/ 1 (* 2 (sinh l)))) (cos (/ K 2))) U)
1.0ms	l	@	-inf	(/ 1 (* 2 (sinh l)))

simplify449.0ms (3.4%)

Memory

26.7MiB live, 825.4MiB allocated

Algorithm

1×	egg-herbie

Rules

16 882×	`lower-fma.f64`
16 882×	`lower-fma.f32`
6 098×	`lower-*.f64`
6 098×	`lower-*.f32`
3 646×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	7609
1	1103	7603
2	3185	7261
3	6547	7247
0	8572	6768

Stop Event

1×	iter limit
1×	node limit

Counts

636 → 598

Calls

Call 1

Inputs
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp 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) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
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
(+ 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))))))
(+ 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))))))
(* 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)))
(* 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)))))
(* 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) (/ 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)))))
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
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(+ U (* J (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
U
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* 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)))
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 l)
(* 2 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))))))
(+ 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
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (* J (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
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U
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U
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(* 2 l)
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(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
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(* (pow l 5) (+ 1/60 (+ (* 1/3 (/ 1 (pow l 2))) (/ 2 (pow l 4)))))
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U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
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(* 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)))
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U
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U
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U
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U
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(* J (- (exp l) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (+ (exp l) (/ U J)) (exp (neg l))))
(* J (- (exp l) (exp (neg l))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (exp (neg l)))) (* -1 (/ U J)))))
U
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U
(* U (+ 1 (/ (* J (- (exp l) (exp (neg l)))) U)))
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U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (exp (neg l)))) U)) 1)))
(* 2 l)
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(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
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(- (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 l)
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(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
U
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(* 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)))))
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U
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(+ 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))))))
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(+ 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))))))
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(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
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(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
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U
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U
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U
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(* 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)))
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(+ 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))))))
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(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
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(+ 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
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(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
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(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J l)
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(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (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 (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)))
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l
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(* 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))))
(* 1/3 l)
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(* l (+ 1/3 (* 1/60 (pow l 2))))
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* 1/60 (pow l 3))
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(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
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(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* 1/60 (pow l 2)))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* 1/60 (pow l 2))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))

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

rewrite370.0ms (2.8%)

Memory

-1.1MiB live, 513.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 672×	`lower-fma.f32`
4 660×	`lower-fma.f64`
4 196×	`lower-/.f32`
4 190×	`lower-/.f64`
4 108×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	310
0	81	282
1	283	282
2	1912	282
0	8238	277

Stop Event

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

Counts

23 → 552

Calls

Call 1

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

Outputs
(+.f64 (.f64 J (exp.f64 l)) (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))))
(+.f64 (.f64 (exp.f64 l) J) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) J))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J (sinh.f64 l)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l))) (.f64 (neg.f64 J) (.f64 #s(literal 2 binary64) (sinh.f64 l))))
(fma.f64 J (exp.f64 l) (*.f64 J (neg.f64 (exp.f64 (neg.f64 l)))))
(fma.f64 (exp.f64 l) J (*.f64 (neg.f64 (exp.f64 (neg.f64 l))) J))
(neg.f64 (.f64 (neg.f64 J) (.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))) (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))) (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (*.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))) (.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l)) (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) J)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l)))))
(/.f64 (neg.f64 J) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(/.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (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)))))
(/.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))))) (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (neg.f64 J)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(/.f64 (.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))) J) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))
(/.f64 (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) J) (.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))) #s(literal -1 binary64))
(/.f64 (neg.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (neg.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64)))))) (neg.f64 (.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(/.f64 (neg.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (neg.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (neg.f64 (.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 J))) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))) J)) (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(/.f64 (neg.f64 (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) J)) (neg.f64 (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(/.f64 (+.f64 (pow.f64 (.f64 J (exp.f64 l)) #s(literal 3 binary64)) (pow.f64 (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) #s(literal 3 binary64))) (fma.f64 (.f64 J (exp.f64 l)) (.f64 J (exp.f64 l)) (-.f64 (.f64 (.f64 J (neg.f64 (exp.f64 (neg.f64 l)))) (.f64 J (neg.f64 (exp.f64 (neg.f64 l))))) (.f64 (.f64 J (exp.f64 l)) (.f64 J (neg.f64 (exp.f64 (neg.f64 l))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (exp.f64 l) J) #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 l))) J) #s(literal 3 binary64))) (fma.f64 (.f64 (exp.f64 l) J) (.f64 (exp.f64 l) J) (-.f64 (.f64 (.f64 (neg.f64 (exp.f64 (neg.f64 l))) J) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) J)) (.f64 (.f64 (exp.f64 l) J) (.f64 (neg.f64 (exp.f64 (neg.f64 l))) J)))))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 J (sinh.f64 l))) #s(literal -1 binary64))
(.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))
(.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))
(.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)) #s(literal 1 binary64))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) J)
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 J) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (.f64 J (sinh.f64 l))))))
(*.f64 (neg.f64 J) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l))))
(.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(.f64 (.f64 J (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))))))
(.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l)))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l)))))
(.f64 (neg.f64 (neg.f64 J)) (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(.f64 (.f64 J (sinh.f64 l)) #s(literal 2 binary64))
(.f64 (.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64)))) J) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(.f64 (.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) J) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (.f64 J #s(literal 2 binary64)) (sinh.f64 l))
(.f64 (.f64 J #s(literal -1 binary64)) (*.f64 (sinh.f64 l) #s(literal -2 binary64)))
(.f64 (.f64 J #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l))))
(*.f64 (/.f64 J (/.f64 #s(literal 1 binary64) (sinh.f64 l))) #s(literal 2 binary64))
(.f64 (/.f64 J (pow.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -1/2 binary64))))
(.f64 (/.f64 J (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 l) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))))
(.f64 (/.f64 J (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))))
(.f64 (/.f64 J (/.f64 #s(literal -1/2 binary64) (.f64 (sinh.f64 l) #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (cosh.f64 l)))
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (/.f64 J (cosh.f64 l)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (sinh.f64 l))))
(/.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 l) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64)))))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) #s(literal -1 binary64))
(/.f64 (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l)))) (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))))
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(.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 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (-.f64 (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64)) (.f64 (.f64 l l) #s(literal 1/180 binary64))))))
(.f64 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64))))
(.f64 (neg.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 #s(literal 1 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 (fma.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 l l) (.f64 l l)) #s(literal 1/3600 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (.f64 l (*.f64 l #s(literal 1/60 binary64))))))

eval149.0ms (1.1%)

Memory: 14.9MiB live, 279.9MiB allocated
Compiler: Compiled 26 666 to 2 242 computations (91.6% saved)

prune130.0ms (1%)

Memory

4.8MiB live, 260.0MiB allocated

Pruning

31 alts after pruning (28 fresh and 3 done)

	Pruned	Kept	Total
New	1 132	18	1 150
Fresh	5	10	15
Picked	2	3	5
Done	0	0	0
Total	1 139	31	1 170

Accuracy

100.0%

Counts

1 170 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
	96.9%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U)
	94.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U)
	65.3%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
▶	99.9%	(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J)) U)
	87.8%	(fma.f64 #s(approx (* (* 2 (sinh l)) (cos (* K 1/2))) (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U)
	65.3%	(+.f64 (.f64 (/.f64 J #s(approx (/ 1 ( 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	65.3%	#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))
▶	43.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U))
	49.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U))
▶	83.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U))
▶	79.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) J U))
	43.4%	#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 K (.f64 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))
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) (+.f64 l #s(literal 1 binary64))) (exp.f64 (neg.f64 l))) U))
✓	57.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
	79.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (fma.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l l) (.f64 #s(literal 2 binary64) l))) U))
	49.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal -2 binary64)) (.f64 (fma.f64 (.f64 l l) (.f64 (.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal -4 binary64)) l)))) U))
	81.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
	81.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 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))
	79.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64)))) #s(literal 2 binary64)))) U))
	73.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(approx (+ (* (* l l) 1/60) 1/3) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) U))
✓	54.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U))
	21.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))) (.f64 J (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)))) (.f64 J (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))))))))
	22.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (-.f64 (.f64 (.f64 J (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))))) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U))) (.f64 (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U)) (.f64 U U))) (.f64 (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U)) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) (neg.f64 U)))))
	39.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (-.f64 (.f64 U U) (.f64 J (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)))))) (-.f64 U (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))))))
	40.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (.f64 (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U))) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U))))
	54.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U))))
	40.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U))) (/.f64 #s(literal 1 binary64) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) (neg.f64 U)))))
	48.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	29.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
▶	72.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)))

Compiler

Compiled 1 468 to 773 computations (47.3% saved)

simplify249.0ms (1.9%)

Memory

20.2MiB live, 438.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sinh.f64 l)
✓	cost-diff	0	(*.f64 J (sinh.f64 l))
✓	cost-diff	0	(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U))
✓	cost-diff	0	(.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 J #s(literal -1/8 binary64))) J)) l)
✓	cost-diff	0	(fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U))
✓	cost-diff	320	(fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (.f64 J #s(literal -1/8 binary64)))
✓	cost-diff	0	(.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
✓	cost-diff	0	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	cost-diff	0	(fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) J U)
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) J U))
✓	cost-diff	0	(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓	cost-diff	0	(fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
✓	cost-diff	0	#s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
✓	cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)))
✓	cost-diff	0	(sinh.f64 l)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (sinh.f64 l))
✓	cost-diff	0	(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J)) U)
✓	cost-diff	1088	(/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J))

Rules

8 024×	`lower-fma.f32`
8 002×	`lower-fma.f64`
4 840×	`lower-*.f32`
4 816×	`lower-*.f64`
2 774×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	506
0	97	509
1	198	505
2	455	499
3	1150	476
4	2531	476
5	4776	476
0	8161	466

Stop Event

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

Calls

Call 1

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

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

localize367.0ms (2.8%)

Memory

-2.9MiB live, 550.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
✓	accuracy	100.0%	(*.f64 J (sinh.f64 l))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	83.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U))
✓	accuracy	99.8%	(.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 J #s(literal -1/8 binary64))) J)) l)
✓	accuracy	93.5%	(.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64)))
✓	accuracy	65.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U))
✓	accuracy	54.1%	#s(approx (* J (cos (* K 1/2))) (fma.f64 (.f64 K K) (fma.f64 (.f64 K K) (.f64 J (fma.f64 #s(literal -1/46080 binary64) (.f64 K K) #s(literal 1/384 binary64))) (*.f64 J #s(literal -1/8 binary64))) J))
✓	accuracy	99.9%	(*.f64 l #s(literal 1/60 binary64))
✓	accuracy	99.6%	(.f64 l (fma.f64 l (.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓	accuracy	93.3%	#s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))))
✓	accuracy	83.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) J U))
✓	accuracy	99.4%	(*.f64 l #s(literal 1/3 binary64))
✓	accuracy	95.6%	(.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓	accuracy	86.0%	#s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
✓	accuracy	83.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)))
✓	accuracy	100.0%	(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	99.9%	(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J)) U)
✓	accuracy	99.6%	(/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J))

Samples

98.0ms	89×	1	valid
75.0ms	133×	0	valid
64.0ms	34×	2	valid

Compiler

Compiled 338 to 63 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 71.0ms (39.5% of total)

ival-exp: 28.0ms (15.6% of total)

ival-add: 21.0ms (11.7% of total)

adjust: 18.0ms (10% of total)

const: 16.0ms (8.9% of total)

ival-cos: 14.0ms (7.8% of total)

ival-div: 7.0ms (3.9% of total)

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

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

exact: 1.0ms (0.6% of total)

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

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

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

series24.0ms (0.2%)

Memory

15.9MiB live, 52.1MiB allocated

Counts

25 → 708

Calls

Call 1

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

Outputs
#<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 (* 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 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 (+ 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 (* 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)))))>
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#<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 (* 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 (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* J (+ 1/384 (* -1/46080 (pow K 2))))>
#<alt (* 1/384 J)>
#<alt (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))>
#<alt (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))>
#<alt (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))>
#<alt (* -1/46080 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))>
#<alt (* -1/46080 (* J (pow K 2)))>
#<alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/46080 J) (* 1/384 (/ J (pow K 2)))))>

Calls

177 calls:

Time	Variable		Point	Expression
4.0ms	J	@	0	(+ (* (* K K) (* J (+ (* -1/46080 (* K K)) 1/384))) (* J -1/8))
1.0ms	J	@	inf	(+ (* (* K K) (* J (+ (* -1/46080 (* K K)) 1/384))) (* J -1/8))
1.0ms	K	@	inf	(+ (* (* K K) (* J (+ (* -1/46080 (* K K)) 1/384))) (* J -1/8))
0.0ms	U	@	0	(+ (* l (* J (+ (* l (* l 1/3)) 2))) U)
0.0ms	K	@	0	(+ (* (* K K) (* J (+ (* -1/46080 (* K K)) 1/384))) (* J -1/8))

simplify749.0ms (5.7%)

Memory

-189.2MiB live, 721.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16 772×	`lower-fma.f64`
16 772×	`lower-fma.f32`
6 916×	`lower-*.f64`
6 916×	`lower-*.f32`
4 654×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	8762
1	1310	8700
2	3893	8323
0	8275	7783

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 665

Calls

Call 1

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

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

rewrite429.0ms (3.2%)

Memory

-11.3MiB live, 710.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 600×	`lower-fma.f32`
6 578×	`lower-fma.f64`
5 260×	`lower-*.f32`
5 236×	`lower-*.f64`
3 748×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	413
0	97	393
1	389	385
2	2788	385
0	9465	385

Stop Event

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

Counts

25 → 427

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) J)) (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(neg.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)))
(/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))))
(/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) J))
(/.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) J))
(/.f64 (neg.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 #s(literal -1 binary64) J))
(pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)
(.f64 #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))
(.f64 J (cos.f64 (.f64 K #s(literal 1/2 binary64))))
(.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)))
(.f64 (neg.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) J)))
(.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 J))
(.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) J)))
(.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (pow.f64 J #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 J #s(literal -1/2 binary64))))
(+.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))))
(+.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))) U)
(-.f64 (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))) #s(literal 2 binary64)) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (neg.f64 U))) (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (neg.f64 U))))
(-.f64 (/.f64 (.f64 U U) (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))))) (/.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))) #s(literal 2 binary64)) (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)))))))
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) J)) U)
(fma.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))) U)
(fma.f64 J (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) U)
(fma.f64 J (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) U)
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sinh.f64 l)) 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 (sinh.f64 l) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 #s(literal -2 binary64) (/.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) J)) U)
(fma.f64 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64)) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) U)
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) 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 (.f64 (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (sinh.f64 l) U)
(fma.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 1 binary64)) J U)
(fma.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal -1 binary64)) (neg.f64 J) U)
(fma.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal -1 binary64) J)) U)
(fma.f64 (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (pow.f64 J #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (pow.f64 J #s(literal -1/2 binary64))) U)
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) J)) (/.f64 (sinh.f64 l) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) J)) (/.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)) U)
(fma.f64 (/.f64 (sinh.f64 l) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(fma.f64 (/.f64 (sinh.f64 l) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) J)) U)
(fma.f64 (/.f64 (sinh.f64 l) (/.f64 #s(literal 1 binary64) J)) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (/.f64 (sinh.f64 l) (/.f64 #s(literal 1 binary64) J)) (/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)) U)
(fma.f64 (/.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J))) U)
(fma.f64 (/.f64 (-.f64 (exp.f64 (.f64 l #s(literal 3 binary64))) (exp.f64 (.f64 (neg.f64 l) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) J)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 l) l))))) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J))) U)
(fma.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (/.f64 #s(literal 1 binary64) J)) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (cosh.f64 l))) (/.f64 #s(literal 1 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) J)) (cos.f64 (.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (pow.f64 J #s(literal -1/2 binary64))) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (pow.f64 J #s(literal -1/2 binary64))) U)
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 J #s(literal -1/2 binary64))) (/.f64 (.f64 (sinh.f64 l) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 J #s(literal -1/2 binary64))) U)
(fma.f64 (/.f64 (sinh.f64 l) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (/.f64 #s(literal -1 binary64) J)) U)
(fma.f64 (/.f64 (sinh.f64 l) (pow.f64 J #s(literal -1/2 binary64))) (/.f64 (.f64 #s(literal 2 binary64) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (pow.f64 J #s(literal -1/2 binary64))) U)
(fma.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U)
(fma.f64 (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) #s(literal 2 binary64)) (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) (cosh.f64 l)) U)
(fma.f64 (/.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (-.f64 (neg.f64 l) l))) #s(literal 2 binary64)) (/.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (cosh.f64 l)) U)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 U U)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (sinh.f64 l)) #s(literal 3 binary64)) (.f64 U (*.f64 U U)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (neg.f64 U)) (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (*.f64 U U))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))) #s(literal 2 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (sinh.f64 l)) #s(literal 3 binary64)) (.f64 U (*.f64 U U))))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (sinh.f64 l)) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))))) (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)))) #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J) (sinh.f64 l)) #s(literal 3 binary64)) (.f64 U (.f64 U U))) (fma.f64 U U (-.f64 (pow.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l)))) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (.f64 J (sinh.f64 l)) U))))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (.f64 (.f64 J (sinh.f64 l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (neg.f64 (.f64 U U))) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (neg.f64 U)))
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(sinh.f64 l)
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(fma.f64 (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) l U)
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eval254.0ms (1.9%)

Memory: 15.8MiB live, 276.4MiB allocated
Compiler: Compiled 28 284 to 1 836 computations (93.5% saved)

prune232.0ms (1.8%)

Memory

-2.7MiB live, 277.1MiB allocated

Pruning

34 alts after pruning (29 fresh and 5 done)

	Pruned	Kept	Total
New	1 111	14	1 125
Fresh	8	15	23
Picked	3	2	5
Done	0	3	3
Total	1 122	34	1 156

Accuracy

100.0%

Counts

1 156 → 34

Alt Table

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Status	Accuracy	Program
	68.9%	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) J U)
	96.9%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U)
	94.4%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U)
	65.3%	(fma.f64 (.f64 #s(approx ( 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (cos.f64 (.f64 K #s(literal 1/2 binary64)))) J U)
	87.8%	(fma.f64 #s(approx (* (* 2 (sinh l)) (cos (* K 1/2))) (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U)
	65.3%	(fma.f64 #s(approx (* 2 (sinh l)) (.f64 #s(literal 2 binary64) l)) (/.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) J)) U)
	65.3%	(+.f64 (.f64 (/.f64 J #s(approx (/ 1 ( 2 (sinh l))) (/.f64 #s(literal 1/2 binary64) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	65.3%	#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))
	43.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) #s(approx (+ ( (* K K) (* J (+ (* -1/46080 (* K K)) 1/384))) (* J -1/8)) (.f64 K (.f64 K (.f64 (.f64 J (*.f64 K K)) #s(literal -1/46080 binary64))))) J)) l) #s(literal 2 binary64) U))
	48.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 (.f64 K K) #s(approx (+ ( (* K K) (* J (+ (* -1/46080 (* K K)) 1/384))) (* J -1/8)) (*.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U))
	49.1%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U))
✓	83.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U))
	79.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 J #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))
	81.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 J #s(approx (sinh l) (fma.f64 l (.f64 (.f64 (fma.f64 (.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) l) l) l))) #s(literal 2 binary64) U))
	81.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 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)))) J U))
✓	79.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))) J U))
	79.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l #s(approx ( l (+ (* l (* l 1/60)) 1/3)) (.f64 l (.f64 (*.f64 l l) #s(literal 1/60 binary64)))) #s(literal 2 binary64)))) J U))
	73.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l #s(approx ( l (+ (* l (* l 1/60)) 1/3)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64)))) J U))
	43.4%	#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 K (.f64 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))
	62.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) (+.f64 l #s(literal 1 binary64))) (exp.f64 (neg.f64 l))) U))
✓	57.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J (-.f64 #s(approx (exp l) #s(literal 1 binary64)) (exp.f64 (neg.f64 l))) U))
	81.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U))
✓	54.2%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U))
	21.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (fma.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))) (.f64 J (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))))) (.f64 U (.f64 U U))) (fma.f64 U (-.f64 U (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)))) (.f64 J (.f64 #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l))))))))
	40.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (/.f64 (.f64 (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U))) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U))))
	40.4%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (.f64 (.f64 (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) (neg.f64 U))) (/.f64 #s(literal 1 binary64) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) (neg.f64 U)))))
	48.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (fma.f64 (.f64 J l) (fma.f64 #s(literal -1/4 binary64) (.f64 K K) #s(literal 2 binary64)) U)))
	29.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* J (cos (* K 1/2))) l) 2) U) (.f64 (.f64 l (.f64 J #s(literal 2 binary64))) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	72.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 J l) U)))
	66.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l #s(approx (* J (+ (* l (* l 1/3)) 2)) (.f64 #s(literal 1/3 binary64) (.f64 J (*.f64 l l)))) U)))
	34.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 (.f64 l (.f64 l l)) (.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))))))
	37.5%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))))
	31.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l)))))))
	74.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 U (fma.f64 (.f64 J l) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) U) #s(literal 1 binary64))))))

Compiler

Compiled 2 025 to 698 computations (65.5% saved)

regimes280.0ms (2.1%)

Memory

-44.1MiB live, 227.3MiB allocated

Counts

65 → 1

Calls

Call 1

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

Calls

10 calls:

61.0ms	(/.f64 K #s(literal 2 binary64))
43.0ms	J
37.0ms	l
33.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
20.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Results

Accuracy	Segments	Branch
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)

regimes222.0ms (1.7%)

Memory

4.9MiB live, 278.9MiB allocated

Counts

59 → 2

Calls

Call 1

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

(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 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)

Calls

10 calls:

37.0ms	l
35.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
25.0ms	K
22.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
20.0ms	J

Results

Accuracy	Segments	Branch
96.9%	1	`J`
96.9%	1	`l`
98.8%	2	`K`
96.9%	1	`U`
96.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
96.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
96.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
96.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
98.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
98.8%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes53.0ms (0.4%)

Memory

16.7MiB live, 130.5MiB allocated

Counts

56 → 2

Calls

Call 1

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

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

Calls

3 calls:

17.0ms	(/.f64 K #s(literal 2 binary64))
17.0ms	K
16.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
98.8%	2	`K`
98.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
98.8%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes154.0ms (1.2%)

Memory

18.1MiB live, 302.4MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

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

Calls

10 calls:

19.0ms	(/.f64 K #s(literal 2 binary64))
17.0ms	J
16.0ms	K
16.0ms	U
15.0ms	(+.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
94.4%	1	`l`
94.4%	1	`U`
94.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
94.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
94.4%	1	`J`
94.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
94.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
98.4%	2	`K`
98.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
98.4%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes55.0ms (0.4%)

Memory

-3.8MiB live, 76.5MiB allocated

Counts

53 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.4%	2	`K`
98.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
98.4%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes49.0ms (0.4%)

Memory

1.6MiB live, 116.4MiB allocated

Counts

52 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

16.0ms	(/.f64 K #s(literal 2 binary64))
16.0ms	K
15.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
95.7%	2	`K`
96.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.7%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes18.0ms (0.1%)

Memory

-3.7MiB live, 39.2MiB allocated

Counts

50 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

15.0ms

(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)

regimes140.0ms (1.1%)

Memory

-12.7MiB live, 308.8MiB allocated

Counts

47 → 2

Calls

Call 1

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

Calls

10 calls:

17.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
16.0ms	K
16.0ms	U
15.0ms	l
14.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.6%	2	`K`
94.6%	2	`(/.f64 K #s(literal 2 binary64))`
93.4%	3	`J`
97.1%	5	`l`
88.5%	2	`U`
92.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
92.4%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
92.4%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
92.4%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
94.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes93.0ms (0.7%)

Memory

5.0MiB live, 163.2MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

Calls

5 calls:

37.0ms	J
13.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	l
13.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms	K

Results

Accuracy	Segments	Branch
89.3%	3	`J`
92.3%	3	`l`
86.0%	2	`K`
86.0%	2	`(/.f64 K #s(literal 2 binary64))`
91.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes139.0ms (1.1%)

Memory

16.5MiB live, 212.1MiB allocated

Counts

41 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

41.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
28.0ms	U
13.0ms	l
12.0ms	J
11.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))

Results

Accuracy	Segments	Branch
86.0%	2	`J`
83.6%	1	`U`
83.6%	1	`l`
83.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
83.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
83.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
83.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
86.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 81 to 63 computations (22.2% saved)

regimes155.0ms (1.2%)

Memory

6.8MiB live, 285.3MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

51.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
16.0ms	(/.f64 K #s(literal 2 binary64))
13.0ms	l
13.0ms	J
11.0ms	(+.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
81.4%	1	`U`
81.4%	1	`l`
81.4%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
81.4%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
81.4%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
81.4%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
81.4%	1	`K`
81.4%	1	`(/.f64 K #s(literal 2 binary64))`
81.4%	1	`J`
84.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes73.0ms (0.6%)

Memory

-32.0MiB live, 203.9MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

10 calls:

9.0ms	U
7.0ms	l
7.0ms	(/.f64 K #s(literal 2 binary64))
7.0ms	J
7.0ms	K

Results

Accuracy	Segments	Branch
79.2%	1	`J`
79.2%	1	`l`
79.2%	1	`K`
79.2%	1	`U`
79.2%	1	`(/.f64 K #s(literal 2 binary64))`
79.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
79.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
79.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
79.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
81.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes6.0ms (0%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
81.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes46.0ms (0.3%)

Memory

11.3MiB live, 128.6MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
73.9%	1	`K`
73.9%	1	`(/.f64 K #s(literal 2 binary64))`
73.9%	1	`J`
73.9%	1	`l`
73.9%	1	`U`
73.9%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.9%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
73.9%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.9%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
76.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes5.0ms (0%)

Memory

-23.9MiB live, 14.9MiB allocated

Counts

11 → 2

Calls

Call 1

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
76.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes83.0ms (0.6%)

Memory

-20.9MiB live, 77.3MiB allocated

Counts

8 → 2

Calls

Call 1

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

Calls

10 calls:

31.0ms	J
27.0ms	K
3.0ms	U
3.0ms	l
3.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
72.8%	1	`J`
72.8%	1	`U`
72.8%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
72.8%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
72.8%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
72.8%	1	`l`
72.8%	1	`K`
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 K #s(literal 2 binary64))`
75.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes20.0ms (0.1%)

Memory

-0.7MiB live, 38.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

6.0ms	l
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	K
3.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes22.0ms (0.2%)

Memory

30.7MiB live, 69.9MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

3.0ms	l
2.0ms	(/.f64 K #s(literal 2 binary64))
2.0ms	J
2.0ms	U
2.0ms	(+.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
66.8%	1	`J`
66.8%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
66.8%	1	`U`
72.8%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
72.8%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
72.8%	3	`l`
66.8%	1	`K`
72.8%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
72.8%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
66.8%	1	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes3.0ms (0%)

Memory

-32.1MiB live, 6.9MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
72.8%	3	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes15.0ms (0.1%)

Memory

6.9MiB live, 47.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

10 calls:

3.0ms	K
1.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	l
1.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
54.2%	1	`J`
54.2%	1	`K`
54.2%	1	`U`
54.2%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
54.2%	1	`(/.f64 K #s(literal 2 binary64))`
54.2%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
54.2%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
54.2%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
54.2%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
54.2%	1	`l`

Compiler

Compiled 93 to 73 computations (21.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.547307244342627e-116	8.285198301748188e-112

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.547307244342627e-116	8.285198301748188e-112

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.193845309049803e-14	1.3199113061350957e-10

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.193845309049803e-14	1.3199113061350957e-10

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9932451877517829	0.9958007747439862

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9932451877517829	0.9958007747439862

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9932451877517829	0.9958007747439862

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012532902181111482	-0.006961203503227426

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012532902181111482	-0.006961203503227426

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.012532902181111482	-0.006961203503227426

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	-0.012532902181111482	-0.006961203503227426

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	-0.012532902181111482	-0.006961203503227426

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	-0.012532902181111482	-0.006961203503227426

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	-0.012532902181111482	-0.006961203503227426

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	-0.012532902181111482	-0.006961203503227426

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch90.0ms (0.7%)

Memory

-14.3MiB live, 99.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	28466965734479.434	2.0346172411420187e+25
25.0ms	-60266260.41541223	-0.0034219971921074293

Samples

53.0ms

320×

valid

Compiler

Compiled 632 to 391 computations (38.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-cos: 7.0ms (27.5% of total)

ival-exp: 6.0ms (23.6% of total)

ival-mult: 4.0ms (15.7% of total)

ival-div: 3.0ms (11.8% of total)

ival-add: 2.0ms (7.9% of total)

ival-sub: 2.0ms (7.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

exact: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	28466965734479.434	2.0346172411420187e+25
1.0ms	-60266260.41541223	-0.0034219971921074293

Compiler

Compiled 622 to 381 computations (38.7% saved)

simplify19.0ms (0.1%)

Memory

-5.6MiB live, 34.3MiB allocated

Algorithm

1×	egg-herbie

Rules

88×	`*-commutative_binary64`
6×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1370
1	249	1370

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J 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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #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 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) (fma.f64 #s(approx (* (* 2 (sinh l)) (cos (* K 1/2))) (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (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 -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64)))) #s(literal 2 binary64)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.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 (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)))
(if (<=.f64 l #s(literal -34000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l))))))) (if (<=.f64 l #s(literal 44000000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))))))
(if (<=.f64 l #s(literal -34000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l))))))) (if (<=.f64 l #s(literal 44000000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U))

Outputs
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (+.f64 U (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 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))))))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 #s(approx (* 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 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 1/2 binary64)))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 554533938824163/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (fma.f64 (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) #s(approx ( 2 (sinh l)) (.f64 l (fma.f64 (.f64 l l) (fma.f64 l (.f64 l (fma.f64 l (.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) J U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J 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))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 3961408125713217/39614081257132168796771975168 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(approx (cos (* K 1/2)) (fma.f64 #s(literal -1/8 binary64) (.f64 K K) #s(literal 1 binary64)))) J U) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.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))))))))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) (+.f64 U (.f64 (cos.f64 (/.f64 K #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))))))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64) U)))
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(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (.f64 J (cos.f64 (.f64 #s(literal 1/2 binary64) K))) (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) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 8962163258467287/9007199254740992 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 l (.f64 (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) J)) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (.f64 #s(literal 2 binary64) l)) U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 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)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (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 -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (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 -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64)))) #s(literal 2 binary64)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (fma.f64 l (.f64 l #s(approx (+ (* (* l l) 1/60) 1/3) (.f64 (.f64 l l) #s(literal 1/60 binary64)))) #s(literal 2 binary64)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J)) l) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 l #s(approx ( J (cos (* K 1/2))) (fma.f64 K (.f64 K (.f64 J #s(literal -1/8 binary64))) J))) #s(literal 2 binary64) U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.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)))) U)))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 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 l J) (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 J #s(approx (- (exp l) (exp (neg l))) (.f64 l (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 -5764607523034235/576460752303423488 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))) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) (fma.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 -5764607523034235/576460752303423488 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 l J) (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 (+ (* J (- (exp l) (exp (neg l)))) U) (fma.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 (+ (* J (- (exp l) (exp (neg l)))) U) (fma.f64 l (.f64 J (fma.f64 l (.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)))
(if (<=.f64 l #s(literal -34000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l))))))) (if (<=.f64 l #s(literal 44000000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)))))))))
(if (<=.f64 l #s(literal -34000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l))))))) (if (<=.f64 l #s(literal 44000000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 #s(literal 2 binary64) l)) U)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* J (- (exp l) (exp (neg l)))) U) #s(approx (+ (* l (* J (+ (* l (* l 1/3)) 2))) U) (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 J (.f64 l l)))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 #s(literal 2 binary64) l)) U))

soundness1.7s (12.9%)

Memory

50.0MiB live, 1 433.7MiB allocated

Rules

16 882×	`lower-fma.f64`
16 882×	`lower-fma.f32`
16 772×	`lower-fma.f64`
16 772×	`lower-fma.f32`
16 082×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	1686
1	422	1686
2	1391	1576
3	3444	1576
0	8364	1502
0	342	7609
1	1103	7603
2	3185	7261
3	6547	7247
0	8572	6768
0	14	42
0	23	34
1	72	34
2	433	34
0	4485	33
0	369	9218
1	1252	9020
2	3752	8576
0	8186	8043
0	395	8762
1	1310	8700
2	3893	8323
0	8275	7783
0	54	343
0	93	319
1	302	319
2	1823	319
0	8303	317

Stop Event

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

Compiler

Compiled 1 651 to 837 computations (49.3% saved)

preprocess136.0ms (1%)

Memory: -13.7MiB live, 230.9MiB allocated
Remove: (abs K)
Compiler: Compiled 1 434 to 310 computations (78.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample1.8s (13.4%)

preprocess112.0ms (0.8%)

explain282.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (0.6%)

localize111.0ms (0.8%)

series15.0ms (0.1%)

simplify459.0ms (3.5%)

rewrite325.0ms (2.5%)

eval131.0ms (1%)

prune138.0ms (1%)

simplify288.0ms (2.2%)

localize381.0ms (2.9%)

series126.0ms (1%)

simplify510.0ms (3.9%)

rewrite396.0ms (3%)

eval160.0ms (1.2%)

prune157.0ms (1.2%)

simplify221.0ms (1.7%)

localize511.0ms (3.9%)

series51.0ms (0.4%)

simplify449.0ms (3.4%)

rewrite370.0ms (2.8%)

eval149.0ms (1.1%)

prune130.0ms (1%)

simplify249.0ms (1.9%)

localize367.0ms (2.8%)

series24.0ms (0.2%)

simplify749.0ms (5.7%)

rewrite429.0ms (3.2%)

eval254.0ms (1.9%)

prune232.0ms (1.8%)

regimes280.0ms (2.1%)

regimes222.0ms (1.7%)

regimes53.0ms (0.4%)

regimes154.0ms (1.2%)

regimes55.0ms (0.4%)

regimes49.0ms (0.4%)

regimes18.0ms (0.1%)

regimes140.0ms (1.1%)

regimes93.0ms (0.7%)

regimes139.0ms (1.1%)

regimes155.0ms (1.2%)

regimes73.0ms (0.6%)

regimes6.0ms (0%)

regimes46.0ms (0.3%)

regimes5.0ms (0%)

regimes83.0ms (0.6%)

regimes20.0ms (0.1%)

regimes22.0ms (0.2%)

regimes3.0ms (0%)

regimes15.0ms (0.1%)

bsearch1.0ms (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%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch90.0ms (0.7%)

bsearch2.0ms (0%)

simplify19.0ms (0.1%)

soundness1.7s (12.9%)

preprocess136.0ms (1%)

end0.0ms (0%)

Profiling