Metrics for Maksimov and Kolovsky, Equation (4)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample2.6s (25.7%)

Memory

-164.4MiB live, 2 564.2MiB allocated

Samples

1.1s	6 377×	0	valid
819.0ms	1 879×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

ival-exp: 553.0ms (42.1% of total)

ival-cos: 286.0ms (21.8% of total)

ival-mult: 142.0ms (10.8% of total)

ival-neg: 89.0ms (6.8% of total)

ival-sub: 67.0ms (5.1% of total)

ival-div: 58.0ms (4.4% of total)

adjust: 55.0ms (4.2% of total)

ival-add: 49.0ms (3.7% of total)

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

exact: 5.0ms (0.4% of total)

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

Bogosity

explain558.0ms (5.6%)

Memory

-37.7MiB live, 363.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
129	1	(-2.3817430050276597e+27 0.0028197226782090794 8.146587882287387e-24 -5.7213259165339826e+112)	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	-	`K`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	123	(1.5258483169954205e-98 8.328559914507035e+227 -2.7309323174071766e+239 6.577740228949978e-103)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
0	0	-	-	`J`
0	0	-	-	`U`
0	0	-	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`#s(literal 2 binary64)`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`l`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`	sensitivity	123	0
`-.f64`	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`	cancellation	30	0

Confusion

	Predicted +	Predicted -
+	29	0
-	110	117

Precision

0.20863309352517986

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	29	0	0
-	110	0	117

Precision?

0.20863309352517986

Recall?

1.0

Freqs

test

number	freq
0	117
1	125
2	14

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

119.0ms	206×	1	valid
64.0ms	50×	2	valid
60.0ms	256×	0	valid

Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-exp: 99.0ms (68.8% of total)

ival-cos: 15.0ms (10.4% of total)

ival-mult: 9.0ms (6.3% of total)

adjust: 7.0ms (4.9% of total)

ival-sub: 4.0ms (2.8% of total)

ival-add: 4.0ms (2.8% of total)

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

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

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

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

exact: 0.0ms (0% of total)

preprocess155.0ms (1.6%)

Memory

11.8MiB live, 93.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	216
1	162	211
2	457	210
3	1541	210
4	5276	210
0	14	15
0	23	15
1	36	15
2	62	15
3	125	15
4	283	15
5	510	15
6	699	15
7	1186	15
8	1729	15
9	1919	15
10	2004	15
11	2015	15
12	2015	15
0	2015	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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)

Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.2%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify54.0ms (0.5%)

Memory

11.3MiB live, 48.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	61
0	23	61
1	36	61
2	62	61
3	125	61
4	283	61
5	510	61
6	699	61
7	1186	61
8	1729	61
9	1919	61
10	2004	61
11	2015	61
12	2015	61
0	2015	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 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
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

localize101.0ms (1%)

Memory

2.7MiB live, 126.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(exp.f64 l)
accuracy	0.0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy	0.0625	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	30.430801121341055	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Samples

43.0ms	103×	1	valid
26.0ms	128×	0	valid
15.0ms	25×	2	valid

Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

ival-exp: 45.0ms (67.2% of total)

ival-cos: 7.0ms (10.4% of total)

ival-mult: 5.0ms (7.5% of total)

adjust: 4.0ms (6% of total)

ival-sub: 2.0ms (3% of total)

ival-add: 2.0ms (3% of total)

ival-div: 1.0ms (1.5% of total)

ival-neg: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory

-0.7MiB live, 36.9MiB allocated

Counts

6 → 44

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	J	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
3.0ms	J	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	K	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
2.0ms	l	@	0	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))
1.0ms	l	@	-inf	((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (cos (/ K 2)) (exp l))

simplify145.0ms (1.5%)

Memory

-27.1MiB live, 252.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	769
1	491	769
2	1550	659
3	3733	659
0	8314	602

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 43

Calls

Call 1

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

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

rewrite131.0ms (1.3%)

Memory

11.7MiB live, 204.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	23	40
1	72	40
2	433	40
0	4500	39

Stop Event

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

Counts

6 → 270

Calls

Call 1

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

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

eval52.0ms (0.5%)

Memory: 25.1MiB live, 149.6MiB allocated
Compiler: Compiled 9 884 to 1 222 computations (87.6% saved)

prune13.0ms (0.1%)

Memory

0.5MiB live, 39.1MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	294	11	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	295	11	306

Accuracy

100.0%

Counts

306 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
▶	100.0%	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)))
▶	94.4%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	92.9%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	86.6%	(+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	84.7%	(+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	84.7%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)) U)
	77.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
▶	66.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
	84.7%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))

Compiler

Compiled 616 to 444 computations (27.9% saved)

simplify159.0ms (1.6%)

Memory

-25.4MiB live, 172.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	513
0	89	513
1	163	513
2	344	513
3	840	491
4	1860	491
5	3584	491
0	9158	488

Stop Event

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

Calls

Call 1

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

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

localize271.0ms (2.7%)

Memory

-5.2MiB live, 446.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0625	(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64))
accuracy	0.0625	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.28339882480290524	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	5.457845213399935	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
accuracy	0.01953125	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy	0.0625	(.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy	0.07421875	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	9.784126994697766	#s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy	0.07421875	(.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
accuracy	0.0859375	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
accuracy	2.585014123305463	(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy	10.032614599462732	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) K)
accuracy	0.0	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy	0.06640625	(fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy	21.543537917018174	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
accuracy	0.0	(cos.f64 (*.f64 K #s(literal -1/2 binary64)))
accuracy	0.00390625	(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0625	(.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))

Samples

96.0ms	103×	1	valid
67.0ms	128×	0	valid
31.0ms	25×	2	valid

Compiler

Compiled 889 to 102 computations (88.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 152.0ms

ival-mult: 36.0ms (23.7% of total)

ival-exp: 29.0ms (19.1% of total)

ival-add: 21.0ms (13.8% of total)

ival-sub: 19.0ms (12.5% of total)

ival-cos: 19.0ms (12.5% of total)

const: 14.0ms (9.2% of total)

adjust: 11.0ms (7.3% of total)

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

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

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

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

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

exact: 0.0ms (0% of total)

series78.0ms (0.8%)

Memory

5.9MiB live, 115.7MiB allocated

Counts

28 → 117

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
9.0ms	J	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
9.0ms	K	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
7.0ms	U	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
7.0ms	J	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* K -1/2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* 2 l) J) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (- (exp l) (exp (neg l))) (sinh l) (cos (* 1/2 K)) (* 1/2 K) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))

simplify196.0ms (2%)

Memory

29.5MiB live, 178.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	2087
1	1297	2031
2	4397	1767
0	8064	1625

Stop Event

1×	iter limit
1×	node limit

Counts

117 → 115

Calls

Call 1

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

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

rewrite221.0ms (2.2%)

Memory

-9.8MiB live, 360.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	406
0	89	384
1	311	384
2	1991	384
0	8366	381

Stop Event

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

Counts

28 → 443

Calls

Call 1

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

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

eval83.0ms (0.8%)

Memory: -14.8MiB live, 181.0MiB allocated
Compiler: Compiled 27 245 to 3 015 computations (88.9% saved)

prune21.0ms (0.2%)

Memory

7.9MiB live, 51.2MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	589	12	601
Fresh	5	1	6
Picked	5	0	5
Done	0	0	0
Total	599	13	612

Accuracy

100.0%

Counts

612 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
▶	68.7%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
▶	84.4%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
	66.3%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
▶	47.0%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
	59.8%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
▶	61.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
	73.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
	46.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) (.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))))
	70.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J l) U)) U)))
	50.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
▶	56.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))

Compiler

Compiled 1 028 to 724 computations (29.6% saved)

simplify140.0ms (1.4%)

Memory

2.7MiB live, 161.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
cost-diff	0	(.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l)) U)
cost-diff	1024	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
cost-diff	0	(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
cost-diff	0	#s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U)
cost-diff	0	(*.f64 #s(literal 2 binary64) J)
cost-diff	0	(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
cost-diff	0	(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff	0	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	643
0	93	643
1	185	643
2	482	613
3	1694	603
4	4485	603
5	6004	603
0	8302	595

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (2%)

Memory

-1.2MiB live, 270.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0625	(.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy	30.408387578974384	#s(approx (cos (* K -1/2)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy	2.585014123305463	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
accuracy	7.410123223283294	(fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
accuracy	10.032614599462732	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l))
accuracy	26.235228797471144	#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
accuracy	1.4601389963262468	(.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
accuracy	6.884261087793303	(.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
accuracy	10.032614599462732	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))))
accuracy	24.900111850259155	#s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
accuracy	0.0	(fma.f64 (*.f64 #s(literal 2 binary64) J) l U)
accuracy	0.0	(*.f64 #s(literal 2 binary64) J)
accuracy	13.202560038112672	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U))
accuracy	21.543537917018174	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
accuracy	0.00390625	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy	0.00390625	(sinh.f64 l)
accuracy	0.0625	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy	27.51325979544431	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

99.0ms	115×	1	valid
51.0ms	130×	0	valid
12.0ms	11×	2	valid

Compiler

Compiled 1 033 to 122 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 48.0ms (38.8% of total)

ival-cos: 20.0ms (16.2% of total)

ival-exp: 19.0ms (15.4% of total)

adjust: 11.0ms (8.9% of total)

ival-add: 11.0ms (8.9% of total)

const: 7.0ms (5.7% of total)

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

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

exact: 1.0ms (0.8% of total)

ival-sinh: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series57.0ms (0.6%)

Memory

9.4MiB live, 90.4MiB allocated

Counts

24 → 121

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
9.0ms	J	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* K K) -1/8) 1) (* (* (+ (* (* l l) 1/3) 2) l) J)) (+ (* (* (* (+ (* (* l l) 1/3) 2) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* (+ (* (* l l) 1/3) 2) l) J) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J))
7.0ms	J	@	0	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* K K) -1/8) 1) (* (* (+ (* (* l l) 1/3) 2) l) J)) (+ (* (* (* (+ (* (* l l) 1/3) 2) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* (+ (* (* l l) 1/3) 2) l) J) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J))
6.0ms	J	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* K K) -1/8) 1) (* (* (+ (* (* l l) 1/3) 2) l) J)) (+ (* (* (* (+ (* (* l l) 1/3) 2) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* (+ (* (* l l) 1/3) 2) l) J) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J))
6.0ms	l	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* K K) -1/8) 1) (* (* (+ (* (* l l) 1/3) 2) l) J)) (+ (* (* (* (+ (* (* l l) 1/3) 2) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* (+ (* (* l l) 1/3) 2) l) J) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J))
5.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* K K) -1/8) 1) (* (* (+ (* (* l l) 1/3) 2) l) J)) (+ (* (* (* (+ (* (* l l) 1/3) 2) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (+ (* (* K K) -1/8) 1) (sinh l) (* (* (+ (* (* l l) 1/3) 2) l) J) (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (* (+ (* (* l l) 1/3) 2) J))

simplify154.0ms (1.5%)

Memory

27.7MiB live, 179.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	449	2444
1	1554	2392
2	5670	2059
0	8090	1895

Stop Event

1×	iter limit
1×	node limit

Counts

121 → 119

Calls

Call 1

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

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

rewrite182.0ms (1.8%)

Memory

-14.6MiB live, 217.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	543
0	93	533
1	339	533
2	2357	533
0	8670	530

Stop Event

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

Counts

24 → 408

Calls

Call 1

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

Outputs
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(.f64 (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (.f64 (.f64 J #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (.f64 J #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)) (neg.f64 U)) (-.f64 (pow.f64 (.f64 (.f64 J #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64)) (.f64 U U))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (.f64 (.f64 J #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l)))) (pow.f64 (.f64 (.f64 J #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 J (.f64 (sinh.f64 l) #s(approx (cos ( K -1/2)) #s(literal 1 binary64)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))))
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(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (.f64 J (.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) U)
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#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
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(*.f64 #s(literal 2 binary64) (sinh.f64 l))
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(.f64 J (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(.f64 l (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (.f64 J l))) (neg.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) (.f64 J l))) (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) (.f64 J l)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) (.f64 J l)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (.f64 l l) #s(literal 2/3 binary64)))))
#s(approx (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (.f64 (.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) J) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) (.f64 K K) (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 J #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) #s(literal 2 binary64)) (.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J)))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) J)) (neg.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) J)) (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) #s(literal 2 binary64)) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) (.f64 J #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 J (.f64 l l)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) (.f64 J #s(literal 2 binary64)))))))
(/.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64)) J) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64)) J) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) #s(literal -4 binary64))) (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal -2 binary64)))
(/.f64 (.f64 J (fma.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64) #s(literal 8 binary64))) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (.f64 (*.f64 l l) #s(literal 2/3 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) #s(literal 2 binary64)) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) (.f64 J #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 J (.f64 l l)) #s(literal 3 binary64)) #s(literal 1/27 binary64) (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) (.f64 J #s(literal 2 binary64))))))
(fma.f64 (.f64 J (.f64 l l)) #s(literal 1/3 binary64) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (.f64 J #s(literal 1/3 binary64)) (.f64 l l) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (.f64 J l) (.f64 #s(literal 1/3 binary64) l) (*.f64 J #s(literal 2 binary64)))
(fma.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J (*.f64 J #s(literal 2 binary64)))
(fma.f64 (.f64 l l) (.f64 #s(literal 1/3 binary64) J) (*.f64 J #s(literal 2 binary64)))
(fma.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) J) (*.f64 J #s(literal 2 binary64)))
(fma.f64 J (.f64 (.f64 l l) #s(literal 1/3 binary64)) (*.f64 J #s(literal 2 binary64)))
(fma.f64 J #s(literal 2 binary64) (.f64 (.f64 (*.f64 l l) #s(literal 1/3 binary64)) J))
(fma.f64 #s(literal 2 binary64) J (.f64 (.f64 (*.f64 l l) #s(literal 1/3 binary64)) J))
(fma.f64 l (.f64 (.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) (.f64 J #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 J #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) (.f64 J #s(literal 2 binary64)))))
(+.f64 (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J) (.f64 J #s(literal 2 binary64)))
(+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 (.f64 l l) #s(literal 1/3 binary64)) J))

eval188.0ms (1.9%)

Memory: 6.1MiB live, 168.0MiB allocated
Compiler: Compiled 38 237 to 2 823 computations (92.6% saved)

prune38.0ms (0.4%)

Memory

8.2MiB live, 49.8MiB allocated

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	633	11	644
Fresh	2	6	8
Picked	4	1	5
Done	0	0	0
Total	639	18	657

Accuracy

100.0%

Counts

657 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
	65.8%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	64.4%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	61.7%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
✓	84.4%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
▶	79.5%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	78.1%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	66.3%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
	51.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* (+ (* (* l l) 1/3) 2) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 2 binary64)))) l)) U)
▶	60.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))) U)
▶	73.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
	70.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J l) U)) U)))
	50.8%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U)))
	56.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
▶	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	60.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	51.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
▶	17.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))

Compiler

Compiled 1 410 to 984 computations (30.2% saved)

simplify179.0ms (1.8%)

Memory

-17.4MiB live, 94.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(.f64 (.f64 J l) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
cost-diff	0	(.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
cost-diff	0	#s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))) U)
cost-diff	0	(.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
cost-diff	0	#s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
cost-diff	0	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
cost-diff	0	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))) U)
cost-diff	0	(.f64 (.f64 J l) #s(literal 2 binary64))
cost-diff	0	#s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64)))
cost-diff	0	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64))))
cost-diff	0	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
cost-diff	0	#s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
cost-diff	0	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)))
cost-diff	0	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	663
0	100	663
1	192	663
2	428	663
3	1191	651
4	2594	651
5	4401	651
6	4913	651
7	6067	651
0	8082	642

Stop Event

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

Calls

Call 1

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

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

localize303.0ms (3%)

Memory

26.1MiB live, 220.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(.f64 (.f64 J l) #s(literal 2 binary64))
accuracy	0.12890625	(.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))
accuracy	21.543537917018174	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
accuracy	32.022984635069406	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K))))
accuracy	0.07421875	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	7.154441704061156	(.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
accuracy	10.032614599462732	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))))
accuracy	24.900111850259155	#s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
accuracy	0.07421875	(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy	1.4601389963262468	(.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
accuracy	10.032614599462732	#s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))
accuracy	18.731558244477142	#s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J))
accuracy	0.0078125	(.f64 (.f64 J l) #s(literal 2 binary64))
accuracy	13.202560038112672	#s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64))))
accuracy	21.543537917018174	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
accuracy	32.039289820985616	#s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64)))
accuracy	0.0625	(.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)))
accuracy	0.28339882480290524	(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy	5.457845213399935	#s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))
accuracy	27.51325979544431	#s(approx (cos (* K -1/2)) #s(literal 1 binary64))

Samples

145.0ms	115×	1	valid
67.0ms	130×	0	valid
13.0ms	11×	2	valid

Compiler

Compiled 1 058 to 137 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-mult: 62.0ms (38.6% of total)

adjust: 30.0ms (18.7% of total)

ival-exp: 19.0ms (11.8% of total)

ival-cos: 18.0ms (11.2% of total)

ival-add: 13.0ms (8.1% of total)

const: 12.0ms (7.5% of total)

ival-sub: 2.0ms (1.2% of total)

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

exact: 1.0ms (0.6% of total)

ival-sinh: 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)

series74.0ms (0.7%)

Memory

-4.3MiB live, 71.0MiB allocated

Counts

22 → 108

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	J	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1)))
16.0ms	K	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1)))
6.0ms	l	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1)))
5.0ms	J	@	-inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1)))
5.0ms	l	@	inf	((+ (* (* (cos (* K -1/2)) (* (sinh l) 2)) J) U) (* (cos (* K -1/2)) (* (sinh l) 2)) (cos (* K -1/2)) (* (sinh l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (+ (* (* 2 J) l) U) (* (* J l) 2) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (* (+ (* (* l l) 1/3) 2) l) J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (* (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1))) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (* (* (* J l) 2) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (* l l) 1/3) 2) (* (* J l) (+ (* -1/8 (* K K)) 1)))

simplify221.0ms (2.2%)

Memory

20.6MiB live, 179.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	383	2032
1	1305	2002
2	4538	1733
0	8191	1596

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 107

Calls

Call 1

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

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

rewrite215.0ms (2.2%)

Memory

-28.0MiB live, 291.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	536
0	100	524
1	345	524
2	2256	524
0	8310	515

Stop Event

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

Counts

22 → 275

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (.f64 (.f64 J #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) #s(literal 2 binary64)) (.f64 U U)) (pow.f64 (fma.f64 (.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)) (neg.f64 U)) #s(literal -1 binary64)))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 J #s(approx (cos ( K -1/2)) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (.f64 (.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l)))) (pow.f64 (.f64 (.f64 J #s(approx (cos (* K -1/2)) #s(literal 1 binary64))) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(fma.f64 (.f64 #s(literal -1/8 binary64) K) (.f64 K (.f64 J l)) (.f64 J l))
(fma.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) (.f64 J l) (.f64 J l))
(fma.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (.f64 J l)) (.f64 J l))
(fma.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) (.f64 J l)) (.f64 J l))
(fma.f64 (.f64 J l) (.f64 (.f64 K K) #s(literal -1/8 binary64)) (.f64 J l))
(fma.f64 (.f64 J l) #s(literal 1 binary64) (.f64 (.f64 (.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) l))
(fma.f64 J (.f64 l (.f64 (.f64 K K) #s(literal -1/8 binary64))) (.f64 J l))
(fma.f64 J (.f64 l #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) l))
(fma.f64 J l (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) J) l))
(fma.f64 l (.f64 J #s(literal 1 binary64)) (.f64 (.f64 (.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) l))
(fma.f64 l (.f64 J (.f64 (.f64 K K) #s(literal -1/8 binary64))) (.f64 J l))
(fma.f64 l J (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) J) l))
(fma.f64 #s(literal 1 binary64) (.f64 J l) (.f64 (.f64 (.f64 (*.f64 K K) #s(literal -1/8 binary64)) J) l))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) J) l) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) J) l) (.f64 J l))) (/.f64 (pow.f64 (.f64 J l) #s(literal 2 binary64)) (-.f64 (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) J) l) (*.f64 J l))))
(+.f64 (.f64 (.f64 (.f64 (.f64 K K) #s(literal -1/8 binary64)) J) l) (*.f64 J l))
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eval55.0ms (0.6%)

Memory: 0.3MiB live, 123.1MiB allocated
Compiler: Compiled 27 001 to 2 000 computations (92.6% saved)

prune34.0ms (0.3%)

Memory

11.4MiB live, 90.3MiB allocated

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	394	9	403
Fresh	2	10	12
Picked	2	3	5
Done	0	1	1
Total	398	23	421

Accuracy

100.0%

Counts

421 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.2%	(fma.f64 (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (neg.f64 (/.f64 (.f64 U U) (fma.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
	65.8%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	64.4%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U)
	61.7%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U)
✓	84.4%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
✓	79.5%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	79.5%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	78.1%	(fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U)
	66.3%	(fma.f64 #s(approx (* (cos (* K -1/2)) (* (sinh l) 2)) (.f64 (.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
	51.3%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (.f64 #s(approx ( (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (* (* (+ (* (* l l) 1/3) 2) J) (+ (* 1/384 (* K K)) -1/8)) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/384 binary64) (.f64 K K) #s(literal -1/8 binary64)) (.f64 K K) #s(literal 1 binary64)) J) #s(literal 2 binary64)))) l)) U)
	38.1%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) #s(approx (* (* J l) (+ (* -1/8 (* K K)) 1)) (.f64 (.f64 (.f64 (.f64 K K) l) J) #s(literal -1/8 binary64)))))) U)
	60.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) (.f64 (.f64 J l) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))) U)
	73.6%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l) J))) U)
	72.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l))) U)
	67.2%	(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) l) J))) U)
	70.3%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 U #s(literal 2 binary64)) (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (/.f64 (.f64 J l) U)) U)))
	56.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U)))
✓	27.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (.f64 (.f64 (.f64 J l) #s(literal 2 binary64)) (cos.f64 (.f64 #s(literal 1/2 binary64) K)))))
	60.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (fma.f64 (/.f64 (.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
	51.9%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
✓	17.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J l) #s(literal 2 binary64)))))
	17.6%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J #s(literal 2 binary64)) l))))
	24.0%	#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))

Compiler

Compiled 2 625 to 972 computations (63% saved)

regimes151.0ms (1.5%)

Memory

-17.0MiB live, 229.6MiB allocated

Counts

44 → 1

Calls

Call 1

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

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

Calls

10 calls:

32.0ms	(/.f64 K #s(literal 2 binary64))
28.0ms	J
15.0ms	K
12.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
12.0ms	U

Results

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

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes143.0ms (1.4%)

Memory

-2.6MiB live, 154.7MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

38.0ms	K
20.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
12.0ms	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)
11.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
94.4%	1	`J`
97.7%	3	`l`
97.3%	2	`K`
94.4%	1	`U`
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))))`
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)))`
97.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.3%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes39.0ms (0.4%)

Memory

11.4MiB live, 50.4MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

17.0ms	K
10.0ms	(/.f64 K #s(literal 2 binary64))
10.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
97.0%	2	`K`
97.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.0%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes160.0ms (1.6%)

Memory

17.8MiB live, 174.9MiB allocated

Counts

37 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

39.0ms	U
34.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
16.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms	l
10.0ms	(/.f64 K #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
91.8%	3	`J`
89.8%	2	`U`
86.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
86.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
88.9%	2	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
86.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
96.9%	5	`l`
93.2%	2	`K`
94.6%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
93.2%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes14.0ms (0.1%)

Memory

-1.2MiB live, 35.5MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
94.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes18.0ms (0.2%)

Memory

-21.9MiB live, 26.2MiB allocated

Counts

35 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

16.0ms

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

Results

Accuracy	Segments	Branch
94.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes41.0ms (0.4%)

Memory

8.5MiB live, 83.4MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

11.0ms	l
10.0ms	(/.f64 K #s(literal 2 binary64))
9.0ms	K
9.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
88.7%	3	`l`
86.7%	2	`K`
86.7%	2	`(/.f64 K #s(literal 2 binary64))`
92.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 9 to 21 computations (-133.3% saved)

regimes11.0ms (0.1%)

Memory

-15.3MiB live, 23.3MiB allocated

Counts

29 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

Accuracy	Segments	Branch
90.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes93.0ms (0.9%)

Memory

21.3MiB live, 104.9MiB allocated

Counts

27 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

21.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
15.0ms	(/.f64 K #s(literal 2 binary64))
8.0ms	K
8.0ms	U
8.0ms	J

Results

Accuracy	Segments	Branch
79.5%	1	`K`
79.5%	1	`(/.f64 K #s(literal 2 binary64))`
79.5%	1	`l`
79.5%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
79.5%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
79.5%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
79.5%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
79.5%	1	`U`
81.6%	2	`J`
85.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes33.0ms (0.3%)

Memory

-21.1MiB live, 16.5MiB allocated

Counts

25 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
85.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes8.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Counts

23 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
85.5%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes7.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

22 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

6.0ms

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

Results

Accuracy	Segments	Branch
84.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes10.0ms (0.1%)

Memory

-20.5MiB live, 13.5MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
84.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes5.0ms (0.1%)

Memory

13.0MiB live, 13.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
82.9%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes48.0ms (0.5%)

Memory

-2.8MiB live, 76.6MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

10 calls:

12.0ms	(/.f64 K #s(literal 2 binary64))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
4.0ms	K
4.0ms	U
4.0ms	J

Results

Accuracy	Segments	Branch
73.6%	1	`U`
73.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
73.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.6%	1	`l`
73.6%	1	`K`
73.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.6%	1	`(/.f64 K #s(literal 2 binary64))`
76.0%	2	`J`
78.4%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
77.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 4 to 7 computations (-75% saved)

regimes39.0ms (0.4%)

Memory

-18.5MiB live, 56.8MiB allocated

Counts

8 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

12.0ms	l
5.0ms	J
3.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	K
3.0ms	U

Results

Accuracy	Segments	Branch
73.6%	3	`l`
73.6%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
73.6%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
73.6%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
73.6%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
67.2%	1	`K`
67.2%	1	`U`
67.2%	1	`(/.f64 K #s(literal 2 binary64))`
71.7%	2	`J`
72.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes44.0ms (0.4%)

Memory

19.8MiB live, 65.2MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

10 calls:

21.0ms	(/.f64 K #s(literal 2 binary64))
3.0ms	K
3.0ms	l
3.0ms	J
3.0ms	U

Results

Accuracy	Segments	Branch
56.0%	1	`U`
56.0%	1	`K`
56.0%	1	`(/.f64 K #s(literal 2 binary64))`
58.5%	2	`J`
60.8%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
63.4%	3	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
63.4%	3	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
63.4%	3	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
63.4%	3	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
63.5%	3	`l`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes3.0ms (0%)

Memory

6.6MiB live, 6.6MiB allocated

Counts

6 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
63.4%	3	`l`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes15.0ms (0.2%)

Memory

-11.1MiB live, 26.7MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
56.0%	1	`J`
56.0%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
56.0%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
56.0%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
56.0%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
56.0%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
56.0%	1	`l`

Compiler

Compiled 48 to 59 computations (-22.9% saved)

regimes35.0ms (0.4%)

Memory

-12.6MiB live, 24.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

10 calls:

23.0ms	l
1.0ms	K
1.0ms	(/.f64 K #s(literal 2 binary64))
1.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms	U

Results

Accuracy	Segments	Branch
17.6%	1	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
17.6%	1	`U`
17.6%	1	`l`
17.6%	1	`K`
17.6%	1	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
17.6%	1	`(/.f64 K #s(literal 2 binary64))`
17.6%	1	`J`
17.6%	1	`(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)`
17.6%	1	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
17.6%	1	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`

Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.532176833343366e-89	9.879328534924456e-87

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.532176833343366e-89	9.879328534924456e-87

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01938756326777595	0.018051701110634696

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01938756326777595	0.018051701110634696

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01938756326777595	0.018051701110634696

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01938756326777595	0.018051701110634696

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01938756326777595	0.018051701110634696

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.01938756326777595	0.018051701110634696

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.42461611108914155	-0.41853378454917345

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.42461611108914155	-0.41853378454917345

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.42461611108914155	-0.41853378454917345

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.42461611108914155	-0.41853378454917345

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.42461611108914155	-0.41853378454917345

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.42461611108914155	-0.41853378454917345

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.42461611108914155	-0.41853378454917345

Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch50.0ms (0.5%)

Memory

-9.4MiB live, 83.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	1.614086161327456e+20	1.3376965296539632e+25
20.0ms	-668535809634.0508	-18825752606.982098

Samples

31.0ms

256×

valid

Compiler

Compiled 1 378 to 981 computations (28.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-neg: 8.0ms (33.8% of total)

ival-cos: 5.0ms (21.1% of total)

ival-exp: 3.0ms (12.7% of total)

ival-mult: 3.0ms (12.7% of total)

ival-div: 1.0ms (4.2% of total)

ival-add: 1.0ms (4.2% of total)

ival-sub: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

bsearch55.0ms (0.6%)

Memory

13.4MiB live, 89.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	2.4656899432843427e+28	1.5201266981635559e+32
32.0ms	-15513738840.72371	-2.9972596681025747e-22

Samples

32.0ms

304×

valid

Compiler

Compiled 1 523 to 1 136 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-cos: 8.0ms (34.5% of total)

ival-exp: 6.0ms (25.9% of total)

ival-mult: 4.0ms (17.3% of total)

ival-div: 2.0ms (8.6% of total)

ival-add: 1.0ms (4.3% of total)

ival-sub: 1.0ms (4.3% of total)

ival-neg: 1.0ms (4.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Memory

-23.4MiB live, 14.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.4656899432843427e+28	1.5201266981635559e+32
8.0ms	-15513738840.72371	-2.9972596681025747e-22

Samples

3.0ms

32×

valid

Compiler

Compiled 1 633 to 1 180 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-exp: 1.0ms (44.1% of total)

ival-cos: 1.0ms (44.1% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

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

simplify91.0ms (0.9%)

Memory

17.8MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	194	1433
1	256	1433
2	370	1433
3	626	1433
4	1087	1387
5	1799	1387
6	3170	1387
7	5545	1387

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (+.f64 (.f64 #s(approx ( J (- (exp l) (exp (neg l)))) (.f64 (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J 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 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J 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 (.f64 #s(literal 2 binary64) l) J) (cos.f64 (.f64 #s(literal 1/2 binary64) K)) U)) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/576460752303423488 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(approx (+ ( 1/2520 (* l l)) 1/60) (.f64 #s(literal 1/2520 binary64) (.f64 l l))) (.f64 l l) #s(literal 1/3 binary64)) (.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)))) U) (fma.f64 (.f64 #s(approx (cos (* K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) (fma.f64 (.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx ( (sinh l) 2) (.f64 (fma.f64 (.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) J U) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) #s(approx (* (sinh l) 2) (.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) l) J))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7566047373982433/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l))) U))
(if (<=.f64 l #s(literal -19000000000 binary64)) (+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) l) J))) U) (if (<=.f64 l #s(literal 165000000000000000000 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))) (+.f64 #s(approx ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) #s(approx (* (* (cos (* 1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) (.f64 (.f64 #s(approx (+ (* (* l l) 1/3) 2) (.f64 (.f64 l l) #s(literal 1/3 binary64))) l) J))) U)))
(if (<=.f64 l #s(literal -440 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)) U))) (if (<=.f64 l #s(literal 24999999999999997858287714304 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
(if (<=.f64 l #s(literal -500 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 (.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64)))))) (if (<=.f64 l #s(literal 24999999999999997858287714304 binary64)) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (.f64 #s(literal 2 binary64) J) l U))) #s(approx (+ ( (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (* (* (* J l) 2) (cos (* 1/2 K))) (.f64 (.f64 J l) (fma.f64 (*.f64 K K) #s(literal -1/4 binary64) #s(literal 2 binary64))))))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J #s(literal 2 binary64)) l))))

Outputs
(fma.f64 (.f64 (cos.f64 (.f64 K #s(literal -1/2 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 5733746539975179/286687326998758938951352611912760867599570623646035140467198604923365359511060601008752319138765710819328 binary64)) (fma.f64 (.f64 #s(approx (cos ( K -1/2)) #s(literal 1 binary64)) (.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (+.f64 (.f64 (.f64 J #s(approx (- (exp l) (exp (neg l))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (.f64 l l) #s(literal 1/60 binary64)) (.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
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#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 l) J) (cos (* 1/2 K))) U) #s(approx (+ (* (* 2 J) l) U) (.f64 (.f64 J #s(literal 2 binary64)) l))))

soundness1.8s (18.4%)

Memory

18.9MiB live, 1 334.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	48
0	23	40
1	72	40
2	433	40
0	4500	39
0	157	769
1	491	769
2	1550	659
3	3733	659
0	8314	602
0	72	536
0	100	524
1	345	524
2	2256	524
0	8310	515
0	383	2032
1	1305	2002
2	4538	1733
0	8191	1596
0	383	2087
1	1297	2031
2	4397	1767
0	8064	1625
0	449	2444
1	1554	2392
2	5670	2059
0	8090	1895

Stop Event

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

Compiler

Compiled 2 450 to 1 188 computations (51.5% saved)

preprocess110.0ms (1.1%)

Memory: -11.3MiB live, 178.7MiB allocated
Remove: (abs K)
Compiler: Compiled 2 956 to 448 computations (84.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0%)

sample2.6s (25.7%)

explain558.0ms (5.6%)

preprocess155.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify54.0ms (0.5%)

localize101.0ms (1%)

series40.0ms (0.4%)

simplify145.0ms (1.5%)

rewrite131.0ms (1.3%)

eval52.0ms (0.5%)

prune13.0ms (0.1%)

simplify159.0ms (1.6%)

localize271.0ms (2.7%)

series78.0ms (0.8%)

simplify196.0ms (2%)

rewrite221.0ms (2.2%)

eval83.0ms (0.8%)

prune21.0ms (0.2%)

simplify140.0ms (1.4%)

localize202.0ms (2%)

series57.0ms (0.6%)

simplify154.0ms (1.5%)

rewrite182.0ms (1.8%)

eval188.0ms (1.9%)

prune38.0ms (0.4%)

simplify179.0ms (1.8%)

localize303.0ms (3%)

series74.0ms (0.7%)

simplify221.0ms (2.2%)

rewrite215.0ms (2.2%)

eval55.0ms (0.6%)

prune34.0ms (0.3%)

regimes151.0ms (1.5%)

regimes143.0ms (1.4%)

regimes39.0ms (0.4%)

regimes160.0ms (1.6%)

regimes14.0ms (0.1%)

regimes18.0ms (0.2%)

regimes41.0ms (0.4%)

regimes11.0ms (0.1%)

regimes93.0ms (0.9%)

regimes33.0ms (0.3%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0.1%)

regimes48.0ms (0.5%)

regimes4.0ms (0%)

regimes39.0ms (0.4%)

regimes44.0ms (0.4%)

regimes3.0ms (0%)

regimes15.0ms (0.2%)

regimes35.0ms (0.4%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch50.0ms (0.5%)

bsearch55.0ms (0.6%)

bsearch10.0ms (0.1%)

simplify91.0ms (0.9%)

soundness1.8s (18.4%)

preprocess110.0ms (1.1%)

end0.0ms (0%)

Profiling