Metrics for Maksimov and Kolovsky, Equation (4)

analyze0.0ms (0%)

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 20 to 15 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

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

sample2.1s (13.8%)

Results

929.0ms	1915×	1	valid
859.0ms	6341×	0	valid

Precisions

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

ival-exp: 507.0ms (39.9% of total)

ival-cos: 296.0ms (23.3% of total)

ival-mult: 141.0ms (11.1% of total)

ival-div: 77.0ms (6.1% of total)

ival-sub: 69.0ms (5.4% of total)

ival-add: 61.0ms (4.8% of total)

ival-neg: 56.0ms (4.4% of total)

backward-pass: 50.0ms (3.9% of total)

const: 13.0ms (1% of total)

Bogosity

preprocess189.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

2516×	`sum5-define`
2206×	`fnmadd-define`
1936×	`fma-define`
1582×	`fma-lowering-fma.f32`
1582×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	218
1	175	211
2	517	210
3	1957	210
4	7417	210
0	14	14
1	28	14
2	57	14
3	129	14
4	321	14
5	695	14
6	1205	14
7	2098	14
8	5158	14
0	8047	14

Stop Event

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

Calls

Call 1

Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)

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

Call 2

Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U))
(neg (+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
(neg (+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U))
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U))
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U)))
(+ (* (* l (- (exp J) (exp (neg J)))) (cos (/ K 2))) U)
(+ (* (* K (- (exp l) (exp (neg l)))) (cos (/ J 2))) U)
(+ (* (* U (- (exp l) (exp (neg l)))) (cos (/ K 2))) J)
(+ (* (* J (- (exp K) (exp (neg K)))) (cos (/ l 2))) U)
(+ (* (* J (- (exp U) (exp (neg U)))) (cos (/ K 2))) l)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ U 2))) K)

Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(fnmadd (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(fma (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U)
(fma (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U)
(fnmadd (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U))
(fnmsub (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(neg (+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
(fnmsub (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(neg (+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U))
(fnmsub (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U))
(fmsub (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U)))
(fma (cos (/ K 2)) (fnmadd J (exp l) (/ J (exp l))) U)
(+ (* (* l (- (exp J) (exp (neg J)))) (cos (/ K 2))) U)
(fma l (* (cos (/ K 2)) (- (exp J) (recip (exp J)))) U)
(+ (* (* K (- (exp l) (exp (neg l)))) (cos (/ J 2))) U)
(fma (- (exp l) (recip (exp l))) (* K (cos (* J 1/2))) U)
(+ (* (* U (- (exp l) (exp (neg l)))) (cos (/ K 2))) J)
(fma (- (exp l) (recip (exp l))) (* (cos (/ K 2)) U) J)
(+ (* (* J (- (exp K) (exp (neg K)))) (cos (/ l 2))) U)
(fma (- (exp K) (recip (exp K))) (* J (cos (* l 1/2))) U)
(+ (* (* J (- (exp U) (exp (neg U)))) (cos (/ K 2))) l)
(fma J (* (cos (/ K 2)) (- (exp U) (recip (exp U)))) l)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ U 2))) K)
(fma (- (exp l) (recip (exp l))) (* J (cos (* U 1/2))) K)

Symmetry

(abs K)

explain283.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
130	0	-	-	`(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))`
0	0	-	-	`(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))`
0	0	-	-	`l`
0	0	-	-	`(exp.f64 l)`
0	0	-	-	`#s(literal 2 binary64)`
0	1	(-1.8746654328287115e-48 -407.433352609591 4.2554897310147544e-141 -1070493635.8296272)	-	`(exp.f64 (neg.f64 l))`
0	0	-	-	`J`
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	-	-	`U`
0	0	-	-	`(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))`
0	127	(7.057255446651317e+158 6.323774876702363e-51 1.2637114738804038e+275 7.934860198000317e-114)	-	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
0	0	-	-	`(/.f64 K #s(literal 2 binary64))`
0	0	-	-	`(neg.f64 l)`
0	0	-	-	`K`

Results

161.0ms	246×	1	valid
53.0ms	266×	0	valid

Compiler

Compiled 151 to 44 computations (70.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-exp: 43.0ms (33.4% of total)

ival-cos: 24.0ms (18.7% of total)

backward-pass: 24.0ms (18.7% of total)

ival-mult: 18.0ms (14% of total)

ival-sub: 5.0ms (3.9% of total)

ival-div: 5.0ms (3.9% of total)

ival-neg: 5.0ms (3.9% of total)

ival-add: 4.0ms (3.1% of total)

const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler: Compiled 20 to 14 computations (30% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	85.8%	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

2516×	`sum5-define`
2206×	`fnmadd-define`
1936×	`fma-define`
1582×	`fma-lowering-fma.f32`
1582×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	28	60
2	57	60
3	129	60
4	321	60
5	695	60
6	1205	60
7	2098	60
8	5158	60
0	8047	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
(* J (- (exp l) (exp (neg l))))
J
(- (exp l) (exp (neg l)))
(exp l)
l
(exp (neg l))
(neg l)
(cos (/ K 2))
(/ K 2)
K
2
U

Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(-.f64 U (.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) (exp.f64 l))))
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
(.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* J (- (exp l) (exp (neg l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
J
(- (exp l) (exp (neg l)))
(+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(exp l)
(exp.f64 l)
l
(exp (neg l))
(/.f64 #s(literal 1 binary64) (exp.f64 l))
(neg l)
(-.f64 #s(literal 0 binary64) l)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
U

localize138.0ms (0.9%)

Localize:

Found 4 expressions of interest:

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

Results

96.0ms	123×	1	valid
25.0ms	133×	0	valid

Compiler

Compiled 66 to 15 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-exp: 44.0ms (57% of total)

ival-cos: 10.0ms (13% of total)

ival-div: 6.0ms (7.8% of total)

ival-mult: 5.0ms (6.5% of total)

ival-sub: 4.0ms (5.2% of total)

backward-pass: 4.0ms (5.2% of total)

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

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

const: 0.0ms (0% of total)

series20.0ms (0.1%)

Counts

5 → 132

Calls

Call 1

Inputs
#<alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)>
#<alt (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (cos (/ K 2))>

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

Calls

33 calls:

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

rewrite308.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

2718×	`-lowering-.f32`
2718×	`-lowering-.f64`
2156×	`+-lowering-+.f64`
2156×	`+-lowering-+.f32`
1766×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	37
1	39	37
2	103	37
3	342	37
4	1464	37
5	6572	37
0	8154	37

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 590

Calls

Call 1

Inputs
(+ (* (* 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))

Outputs
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 U (.f64 (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (+.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))) (+.f64 U (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(+.f64 (+.f64 U (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))))
(+.f64 (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))) (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(+.f64 (+.f64 (+.f64 U (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) #s(literal 0 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))))
(-.f64 (+.f64 U (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l))))
(fma.f64 J (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(fma.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(fma.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (exp.f64 l) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (sinh.f64 l))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (exp.f64 l)) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64))) U)
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))) (+.f64 U (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l))) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) J U)
(fma.f64 (.f64 J (exp.f64 l)) (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(fma.f64 (.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (.f64 J #s(literal 2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) U)
(fma.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (exp.f64 l) (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(fma.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (exp.f64 l)) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (.f64 J #s(literal 2 binary64)) U)
(fma.f64 (.f64 J (sinh.f64 l)) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 1 binary64) (-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(fma.f64 (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) J (-.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (exp.f64 l))) J (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (-.f64 #s(literal 0 binary64) J) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (exp.f64 l)) (+.f64 U (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 J (sinh.f64 l)) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64))) (sinh.f64 l) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (sinh.f64 l))) #s(literal 2 binary64) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l))) #s(literal -1 binary64) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J (exp.f64 l)) (+.f64 U (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J #s(literal 2 binary64)))) (/.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (/.f64 #s(literal 1 binary64) (exp.f64 l)) (+.f64 U (.f64 J (*.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (*.f64 (sinh.f64 l) #s(literal 4 binary64)))) #s(literal 1/2 binary64) U)
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l))) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (/.f64 #s(literal 1 binary64) (exp.f64 l)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J (exp.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l))) (.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l))))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal 0 binary64) J) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (exp.f64 l)) (.f64 J (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (exp.f64 l)))))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)))))
(+.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64))))) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))))
(+.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))) (.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64))) (/.f64 (exp.f64 l) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 l)))))
(+.f64 (.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))) (.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 l))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J #s(literal 2 binary64)))))
(+.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l))))))) (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))))))
(+.f64 (fma.f64 J (.f64 (exp.f64 l) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (fma.f64 (/.f64 J (exp.f64 l)) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (*.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (exp.f64 l) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l))))))) (fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l)))))))
(+.f64 (fma.f64 (exp.f64 l) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))))))) (fma.f64 (/.f64 J (exp.f64 l)) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (*.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (exp.f64 l) (/.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l))))) (fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (/.f64 #s(literal 1 binary64) (exp.f64 l)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (fma.f64 (exp.f64 l) (/.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l))))) (fma.f64 (.f64 J (/.f64 #s(literal -1 binary64) (exp.f64 l))) (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (fma.f64 (exp.f64 l) (/.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l))))) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
(+.f64 (fma.f64 (exp.f64 l) (/.f64 (.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 J (exp.f64 l))))) (fma.f64 (neg.f64 (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 J (exp.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (exp.f64 l)))))
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(neg.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 l)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 l) (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l)))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(/.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (sinh.f64 l) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l))) (-.f64 #s(literal 0 binary64) (exp.f64 l)))
(/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l))) (exp.f64 l))
(/.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (sinh.f64 l)))
(/.f64 (*.f64 (sinh.f64 l) #s(literal -4 binary64)) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 8 binary64) (sinh.f64 l)) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l)))) (exp.f64 l))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l)))) (-.f64 #s(literal 0 binary64) (exp.f64 l)))
(/.f64 (/.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l))) (-.f64 #s(literal 0 binary64) (exp.f64 l)))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l))) (exp.f64 l))
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (exp.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (sinh.f64 l) #s(literal -2 binary64))) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal 4 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l)))) (-.f64 #s(literal 0 binary64) (exp.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l)))) (exp.f64 l))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (sinh.f64 l) #s(literal -4 binary64))) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 l)))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l))) #s(literal -1 binary64)) (exp.f64 l))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 l)))
(/.f64 (/.f64 (*.f64 (sinh.f64 l) #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) (exp.f64 l))) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l))) #s(literal 1 binary64)) (exp.f64 l))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal -1 binary64))
(.f64 (exp.f64 l) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (exp.f64 l)))
(.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l))))
(.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 l)))
(*.f64 #s(literal -2 binary64) (/.f64 (sinh.f64 l) #s(literal -1 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (sinh.f64 l) #s(literal 4 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 (.f64 (sinh.f64 l) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l))))
(.f64 #s(literal -1 binary64) (.f64 (sinh.f64 l) #s(literal -2 binary64)))
(.f64 (.f64 (sinh.f64 l) #s(literal -2 binary64)) #s(literal -1 binary64))
(.f64 (.f64 (sinh.f64 l) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 4 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l))) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l))) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(*.f64 #s(literal 4 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (sinh.f64 l) #s(literal -4 binary64)) #s(literal -1/2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 l)) #s(literal -2 binary64))
(.f64 (.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (sinh.f64 l) (exp.f64 l)))
(*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 l)) (/.f64 (sinh.f64 l) (/.f64 #s(literal 1 binary64) (exp.f64 l))))
(*.f64 (/.f64 #s(literal -2 binary64) (exp.f64 l)) (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l))))
(.f64 (.f64 #s(literal 8 binary64) (sinh.f64 l)) #s(literal 1/4 binary64))
(*.f64 #s(literal 8 binary64) (/.f64 (sinh.f64 l) #s(literal 4 binary64)))
(.f64 (/.f64 (sinh.f64 l) (exp.f64 l)) (.f64 (exp.f64 l) #s(literal 2 binary64)))
(*.f64 (/.f64 (sinh.f64 l) (/.f64 #s(literal 1 binary64) (exp.f64 l))) (/.f64 #s(literal 2 binary64) (exp.f64 l)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (/.f64 #s(literal 1 binary64) (exp.f64 l))) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (exp.f64 l)) (exp.f64 l))
(.f64 (/.f64 (.f64 (sinh.f64 l) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l))) (/.f64 #s(literal 1/2 binary64) (exp.f64 l)))
(*.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 l))) (/.f64 (/.f64 (sinh.f64 l) #s(literal 2 binary64)) (exp.f64 l)))
(.f64 (/.f64 (.f64 (sinh.f64 l) #s(literal 4 binary64)) (exp.f64 l)) (/.f64 (exp.f64 l) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 4 binary64) (exp.f64 l)) (/.f64 (/.f64 (sinh.f64 l) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l))))
(.f64 (/.f64 (sinh.f64 l) (-.f64 #s(literal 0 binary64) (exp.f64 l))) (.f64 #s(literal -2 binary64) (exp.f64 l)))
(.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 l)) (-.f64 #s(literal 0 binary64) (exp.f64 l))) (.f64 (exp.f64 l) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 l) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 l l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (exp.f64 l)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (exp.f64 (+.f64 l l))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 l)))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 1 binary64) (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64))))))
(+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))))
(+.f64 (fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64) (neg.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))) (neg.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))))
(+.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (neg.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))))
(+.f64 (fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1/2 binary64) (neg.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (*.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))))
(+.f64 (fma.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64) (neg.f64 (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)))) (fma.f64 (sin.f64 (/.f64 K #s(literal -2 binary64))) #s(literal 0 binary64) (.f64 (sin.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(-.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (sin.f64 (/.f64 K #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (+.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))

simplify302.0ms (2%)

Algorithm

1×	egg-herbie

Rules

5896×	`+-lowering-+.f64`
5896×	`+-lowering-+.f32`
5120×	`-lowering-.f32`
5120×	`-lowering-.f64`
1628×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	1729
1	479	1642
2	1781	1539
3	4272	1539
0	9448	1539

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval93.0ms (0.6%)

Compiler: Compiled 18471 to 2048 computations (88.9% saved)

prune153.0ms (1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	711	11	722
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	712	11	723

Accuracy

100.0%

Counts

723 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
▶	100.0%	(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
	92.0%	(+.f64 (.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 l l) (+.f64 (.f64 J #s(literal 1/3 binary64)) (.f64 (.f64 l l) (.f64 J (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	88.7%	(+.f64 (.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 l l)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	90.9%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	93.1%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	85.7%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
	63.6%	(+.f64 (.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶	83.1%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U)
	74.5%	(+.f64 (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))) U)
▶	37.3%	U

Compiler

Compiled 488 to 326 computations (33.2% saved)

simplify240.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))
✓	cost-diff	(.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64))))))))))
✓	cost-diff	(.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	cost-diff	(.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))
✓	cost-diff	(.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))
✓	cost-diff	(.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓	cost-diff	(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓	cost-diff	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
✓	cost-diff	(.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
✓	cost-diff	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U)
✓	cost-diff	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	cost-diff	(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))
✓	cost-diff	(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64)))
✓	cost-diff	(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)

Rules

2832×	`+-lowering-+.f64`
2832×	`+-lowering-+.f32`
2138×	`-lowering-.f32`
2138×	`-lowering-.f64`
1658×	`sum3-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	415
1	140	376
2	502	376
3	1664	376
4	4215	376
5	7916	376
0	8108	376

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* (cos (/ K 2)) (sinh l)) (* J 2)) U)
(* (* (cos (/ K 2)) (sinh l)) (* J 2))
(* (cos (/ K 2)) (sinh l))
(cos (/ K 2))
(/ K 2)
K
2
(sinh l)
l
(* J 2)
J
U
U
(+ (* l (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l)))))) U)
(* l (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l))))))
l
(* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l)))))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* J (+ 2 (* 1/3 (* l l))))
J
(+ 2 (* 1/3 (* l l)))
2
(* 1/3 (* l l))
1/3
(* l l)
U
(+ (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))) (cos (/ K 2))) U)
(* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))) (cos (/ K 2)))
(* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60))))))
J
(* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))
l
(+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60))))
2
(* (* l l) (+ 1/3 (* (* l l) 1/60)))
(* l l)
(+ 1/3 (* (* l l) 1/60))
1/3
(* (* l l) 1/60)
1/60
(cos (/ K 2))
(/ K 2)
K
U
(+ (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))) (cos (/ K 2))) U)
(* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))) (cos (/ K 2)))
(* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520)))))))))
J
(* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))
l
(+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520)))))))
2
(* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))
(* l l)
(+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520)))))
1/3
(* l (* l (+ 1/60 (* (* l l) 1/2520))))
(* l (+ 1/60 (* (* l l) 1/2520)))
(+ 1/60 (* (* l l) 1/2520))
1/60
(* (* l l) 1/2520)
1/2520
(cos (/ K 2))
(/ K 2)
K
U

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

localize291.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))
✓	accuracy	99.8%	(.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))))
✓	accuracy	99.1%	(.f64 (.f64 l l) #s(literal 1/2520 binary64))
✓	accuracy	98.9%	(.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64))))))))))
✓	accuracy	99.9%	(.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.7%	(.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))
✓	accuracy	99.4%	(.f64 (.f64 l l) #s(literal 1/60 binary64))
✓	accuracy	97.8%	(.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))
✓	accuracy	99.9%	(.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
✓	accuracy	99.9%	(.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
✓	accuracy	99.7%	(.f64 #s(literal 1/3 binary64) (.f64 l l))
✓	accuracy	94.4%	(.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64)))
✓	accuracy	99.9%	(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))

Results

215.0ms

256×

valid

Compiler

Compiled 472 to 45 computations (90.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 82.0ms

ival-mult: 33.0ms (40.1% of total)

ival-add: 18.0ms (21.9% of total)

...c/correct-round.rkt:119:19: 14.0ms (17% of total)

ival-cos: 13.0ms (15.8% of total)

ival-div: 2.0ms (2.4% of total)

ival-sinh: 2.0ms (2.4% of total)

const: 1.0ms (1.2% of total)

backward-pass: 0.0ms (0% of total)

series120.0ms (0.8%)

Counts

24 → 600

Calls

Call 1

Inputs
#<alt (+ (* (* (cos (/ K 2)) (sinh l)) (* J 2)) U)>
#<alt (* (* (cos (/ K 2)) (sinh l)) (* J 2))>
#<alt (* (cos (/ K 2)) (sinh l))>
#<alt (cos (/ K 2))>
#<alt (+ (* l (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l)))))) U)>
#<alt (* l (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l))))))>
#<alt (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l)))))>
#<alt (cos (* 1/2 K))>
#<alt (+ (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))) (cos (/ K 2))) U)>
#<alt (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))) (cos (/ K 2)))>
#<alt (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60))))))>
#<alt (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))>
#<alt (+ (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))) (cos (/ K 2))) U)>
#<alt (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))) (cos (/ K 2)))>
#<alt (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520)))))))))>
#<alt (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))>
#<alt (sinh l)>
#<alt (* J (+ 2 (* 1/3 (* l l))))>
#<alt (* 1/3 (* l l))>
#<alt (* (* l l) 1/60)>
#<alt (* (* l l) (+ 1/3 (* (* l l) 1/60)))>
#<alt (* (* l l) 1/2520)>
#<alt (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))>
#<alt (* l (* l (+ 1/60 (* (* l l) 1/2520))))>

Outputs
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))>
#<alt (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (+ (* -1/16 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/2 (- (exp l) (/ 1 (exp l)))))>
#<alt (+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* 1/768 (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))>
#<alt (+ (* 1/2 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/16 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/92160 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/768 (- (exp l) (/ 1 (exp l)))))))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* l (cos (* 1/2 K)))>
#<alt (* l (+ (cos (* 1/2 K)) (* 1/6 (* (pow l 2) (cos (* 1/2 K))))))>
#<alt (* l (+ (cos (* 1/2 K)) (* (pow l 2) (+ (* 1/120 (* (pow l 2) (cos (* 1/2 K)))) (* 1/6 (cos (* 1/2 K)))))))>
#<alt (* l (+ (cos (* 1/2 K)) (* (pow l 2) (+ (* 1/6 (cos (* 1/2 K))) (* (pow l 2) (+ (* 1/5040 (* (pow l 2) (cos (* 1/2 K)))) (* 1/120 (cos (* 1/2 K)))))))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (cos (* 1/2 K)))) (+ (* 2 (/ (* J (cos (* 1/2 K))) (pow l 2))) (/ U (pow l 3)))))>
#<alt (* 1/3 (* J (* (pow l 3) (cos (* 1/2 K)))))>
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#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* J (+ 2 (* 1/3 (pow l 2))))>
#<alt (* 2 J)>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (+ (* 1/3 (* J (pow l 2))) (* 2 J))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* 1/3 (* J (pow l 2)))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/60 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))>
#<alt (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))>
#<alt (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* 1/60 (pow l 4))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/60 (* 1/3 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))>
#<alt (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))>
#<alt (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/60 (pow l 2))>
#<alt (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>

Calls

150 calls:

Time	Variable		Point	Expression
22.0ms	J	@	0	(* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))) (cos (/ K 2)))
15.0ms	K	@	inf	(+ (* l (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l)))))) U)
9.0ms	K	@	inf	(+ (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))) (cos (/ K 2))) U)
4.0ms	l	@	-inf	(+ (* (* (cos (/ K 2)) (sinh l)) (* J 2)) U)
2.0ms	l	@	inf	(+ (* (* (cos (/ K 2)) (sinh l)) (* J 2)) U)

rewrite353.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2700×	`-lowering-.f32`
2700×	`-lowering-.f64`
2060×	`sum3-define`
1974×	`fma-define`
1730×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	294
1	153	266
2	543	266
3	1886	266
4	6030	266
0	8070	266

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 899

Calls

Call 1

Inputs
(+ (* (* (cos (/ K 2)) (sinh l)) (* J 2)) U)
(* (* (cos (/ K 2)) (sinh l)) (* J 2))
(* (cos (/ K 2)) (sinh l))
(cos (/ K 2))
(+ (* l (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l)))))) U)
(* l (* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l))))))
(* (cos (* 1/2 K)) (* J (+ 2 (* 1/3 (* l l)))))
(cos (* 1/2 K))
(+ (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))) (cos (/ K 2))) U)
(* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))) (cos (/ K 2)))
(* J (* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60))))))
(* l (+ 2 (* (* l l) (+ 1/3 (* (* l l) 1/60)))))
(+ (* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))) (cos (/ K 2))) U)
(* (* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))) (cos (/ K 2)))
(* J (* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520)))))))))
(* l (+ 2 (* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))))
(sinh l)
(* J (+ 2 (* 1/3 (* l l))))
(* 1/3 (* l l))
(* (* l l) 1/60)
(* (* l l) (+ 1/3 (* (* l l) 1/60)))
(* (* l l) 1/2520)
(* (* l l) (+ 1/3 (* l (* l (+ 1/60 (* (* l l) 1/2520))))))
(* l (* l (+ 1/60 (* (* l l) 1/2520))))

Outputs
(+.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))) U)
(+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J))))
(fma.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) J)) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) U)
(fma.f64 (sinh.f64 l) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (.f64 #s(literal 2 binary64) J) U)
(fma.f64 J (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) U)
(fma.f64 (.f64 #s(literal 2 binary64) J) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) U)
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) U)
(fma.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) J)) #s(literal 2 binary64) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (cos.f64 (/.f64 K #s(literal 2 binary64))) U)
(fma.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)) (sinh.f64 l) U)
(fma.f64 (.f64 (sinh.f64 l) J) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))) J U)
(fma.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 (sinh.f64 l) J) U)
(fma.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))) #s(literal 1/2 binary64) U)
(+.f64 (.f64 J (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (exp.f64 l))) (*.f64 J (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 l)))))
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)) (/.f64 (exp.f64 l) #s(literal 2 binary64))) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) #s(literal -2 binary64))))
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (exp.f64 l)) J) (*.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (exp.f64 l))) J))
(+.f64 (.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 l)) #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))))
(neg.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)) (-.f64 #s(literal 0 binary64) (sinh.f64 l))))
(/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))))
(/.f64 (.f64 #s(literal 2 binary64) J) (/.f64 #s(literal 1 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (.f64 (.f64 (sinh.f64 l) #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))))))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (sinh.f64 l)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))) #s(literal 2 binary64))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (sinh.f64 l) #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))) (/.f64 #s(literal -1 binary64) (sinh.f64 l)))
(/.f64 (neg.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 (sinh.f64 l) #s(literal -2 binary64)) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 (.f64 #s(literal 2 binary64) J) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))))) #s(literal -2 binary64))
(/.f64 (/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)))) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (.f64 (sinh.f64 l) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 J (.f64 (sinh.f64 l) #s(literal -2 binary64))))) #s(literal -2 binary64))
(/.f64 (.f64 J (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) J) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sinh.f64 l)))
(/.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)) (-.f64 (.f64 #s(literal 2 binary64) (exp.f64 l)) (/.f64 #s(literal 2 binary64) (exp.f64 l)))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64)))) (.f64 J (.f64 (sinh.f64 l) #s(literal -2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J))) (/.f64 #s(literal -1 binary64) (sinh.f64 l)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) (exp.f64 l)) (/.f64 #s(literal 2 binary64) (exp.f64 l))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 (sinh.f64 l) #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) J)) #s(literal -2 binary64))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) #s(literal -2 binary64))) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J)) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)))) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(/.f64 (.f64 (/.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) #s(literal -2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) J)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J))) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) J) (.f64 (sinh.f64 l) #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 J (.f64 (sinh.f64 l) #s(literal -2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 (sinh.f64 l) J)) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 J (.f64 (sinh.f64 l) #s(literal -2 binary64))) (.f64 #s(literal 2 binary64) (cos.f64 (/.f64 K #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))) J) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (sinh.f64 l) J)))
(.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) J)))
(.f64 (sinh.f64 l) (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) J)))
(.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) J))
(.f64 J (.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l))))
(*.f64 J (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(.f64 (.f64 #s(literal 2 binary64) J) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)))
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(fma.f64 (.f64 l l) #s(literal 1/3 binary64) (.f64 (.f64 l l) (.f64 l (*.f64 l #s(literal 1/60 binary64)))))
(fma.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l l) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l #s(literal 1/60 binary64)) (.f64 l (.f64 l l)) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l #s(literal 1/3 binary64)) l (.f64 (.f64 l l) (.f64 l (*.f64 l #s(literal 1/60 binary64)))))
(fma.f64 (.f64 (.f64 l l) (.f64 l #s(literal 1/60 binary64))) l (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l (.f64 l l)) (.f64 l #s(literal 1/60 binary64)) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l (.f64 l (.f64 l l))) #s(literal 1/60 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 l l))
(.f64 (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))) l)
(.f64 l (.f64 l #s(literal 1/2520 binary64)))
(.f64 (.f64 l l) #s(literal 1/2520 binary64))
(.f64 #s(literal 1/2520 binary64) (.f64 l l))
(.f64 (.f64 l #s(literal 1/2520 binary64)) l)
(+.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l (.f64 l l)))))
(+.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))) (.f64 (.f64 l l) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))))))
(+.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))) (.f64 l (.f64 l l))))
(+.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))) (.f64 (.f64 l (.f64 l #s(literal 1/2520 binary64))) (.f64 l (.f64 l (.f64 l l)))))
(+.f64 (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l)))))))
(+.f64 (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))))) (.f64 l l)))
(+.f64 (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (+.f64 (.f64 (.f64 l l) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))))) (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(+.f64 (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (+.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))) (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(+.f64 (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))) (+.f64 (.f64 (.f64 l (.f64 l #s(literal 1/2520 binary64))) (.f64 l (.f64 l (.f64 l l)))) (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(+.f64 (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l (.f64 l l)))) (.f64 #s(literal 1/3 binary64) (.f64 l l)))
(+.f64 (.f64 (.f64 l l) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))))) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))))
(+.f64 (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))) (.f64 l (.f64 l l))) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))))
(+.f64 (.f64 (.f64 l (.f64 l #s(literal 1/2520 binary64))) (.f64 l (.f64 l (.f64 l l)))) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l #s(literal 1/60 binary64))))))
(+.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l)))))) (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(+.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))))) (.f64 l l)) (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 (.f64 l l) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l)))))) (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))) (.f64 l (.f64 l l)))) (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(+.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 (.f64 l (.f64 l #s(literal 1/2520 binary64))) (.f64 l (.f64 l (.f64 l l))))) (.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/60 binary64)))))
(fma.f64 l (.f64 l #s(literal 1/3 binary64)) (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l (*.f64 l l)))))
(fma.f64 l (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 #s(literal 1/3 binary64) (.f64 l l) (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l (*.f64 l l)))))
(fma.f64 (.f64 l l) #s(literal 1/3 binary64) (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l (*.f64 l l)))))
(fma.f64 (.f64 l l) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l (.f64 l l))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))) (.f64 l (.f64 l l)) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))) (.f64 l l) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l #s(literal 1/3 binary64)) l (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l (*.f64 l l)))))
(fma.f64 (.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l (.f64 l l))) l (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l (.f64 l l)) (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(fma.f64 (.f64 l (.f64 l (.f64 l l))) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))))))
(.f64 (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))))) (.f64 l l))
(.f64 (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))) l)
(+.f64 (.f64 l (.f64 l #s(literal 1/60 binary64))) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l)))))
(+.f64 (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l)))) (.f64 l (.f64 l #s(literal 1/60 binary64))))
(fma.f64 l (.f64 l #s(literal 1/60 binary64)) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (*.f64 l l)))))
(fma.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))) (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(fma.f64 (.f64 l l) #s(literal 1/60 binary64) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (*.f64 l l)))))
(fma.f64 (.f64 l l) (.f64 l (.f64 l #s(literal 1/2520 binary64))) (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(fma.f64 #s(literal 1/60 binary64) (.f64 l l) (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (*.f64 l l)))))
(fma.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l (.f64 l l))) (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(fma.f64 (.f64 l (.f64 l #s(literal 1/2520 binary64))) (.f64 l l) (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(fma.f64 (.f64 l #s(literal 1/60 binary64)) l (.f64 l (.f64 #s(literal 1/2520 binary64) (.f64 l (*.f64 l l)))))
(fma.f64 (.f64 #s(literal 1/2520 binary64) (.f64 l (.f64 l l))) l (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(fma.f64 (.f64 l #s(literal 1/2520 binary64)) (.f64 l (.f64 l l)) (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(fma.f64 (.f64 l (.f64 l l)) (.f64 l #s(literal 1/2520 binary64)) (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(fma.f64 (.f64 l (.f64 l (.f64 l l))) #s(literal 1/2520 binary64) (.f64 l (*.f64 l #s(literal 1/60 binary64))))
(.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))
(.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))))
(.f64 (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))) (.f64 l l))
(.f64 (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))) l)

simplify343.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

6812×	`-lowering-.f32`
6812×	`-lowering-.f64`
2888×	`+-lowering-+.f64`
2888×	`+-lowering-+.f32`
1620×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	518	11443
1	1898	9553
0	8027	9553

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 600

Calls

Call 1

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

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

eval276.0ms (1.8%)

Compiler: Compiled 40929 to 3659 computations (91.1% saved)

prune181.0ms (1.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	1527	14	1541
Fresh	5	1	6
Picked	4	1	5
Done	0	0	0
Total	1536	16	1552

Accuracy

100.0%

Counts

1552 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
	73.8%	(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
	67.6%	(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
	63.6%	(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
	61.9%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
	74.6%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
	76.1%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
	76.1%	(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
	81.4%	(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
▶	39.6%	(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
▶	55.1%	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
▶	55.3%	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
	63.6%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
▶	67.6%	(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
	83.9%	(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
✓	37.3%	U

Compiler

Compiled 707 to 488 computations (31% saved)

simplify179.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	cost-diff	0	(.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64)))))
✓	cost-diff	0	(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
✓	cost-diff	512	(+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (*.f64 J #s(literal -1/8 binary64))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
✓	cost-diff	0	(.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
✓	cost-diff	0	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
✓	cost-diff	0	(.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
✓	cost-diff	0	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))
✓	cost-diff	0	(.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	cost-diff	0	(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
✓	cost-diff	0	(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
✓	cost-diff	0	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	cost-diff	0	(/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
✓	cost-diff	0	(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)

Rules

3960×	`-lowering-.f32`
3960×	`-lowering-.f64`
2764×	`+-lowering-+.f64`
2764×	`+-lowering-+.f32`
1356×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	423
1	132	383
2	529	383
3	2350	383
4	6286	383
5	6902	383
0	8104	383

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ (* J (cos (/ K 2))) (/ 1/2 (sinh l))) U)
(/ (* J (cos (/ K 2))) (/ 1/2 (sinh l)))
(* J (cos (/ K 2)))
J
(cos (/ K 2))
(/ K 2)
K
2
(/ 1/2 (sinh l))
1/2
(sinh l)
l
U
(+ (* l (* J (+ 2 (* 1/3 (* l l))))) U)
(* l (* J (+ 2 (* 1/3 (* l l)))))
l
(* J (+ 2 (* 1/3 (* l l))))
J
(+ 2 (* 1/3 (* l l)))
2
(* 1/3 (* l l))
1/3
(* l l)
U
(+ (* l (* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l)))))) U)
(* l (* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l))))))
l
(* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l)))))
(+ 1 (* -1/8 (* K K)))
1
(* -1/8 (* K K))
-1/8
(* K K)
K
(* J (+ 2 (* 1/3 (* l l))))
J
(+ 2 (* 1/3 (* l l)))
2
(* 1/3 (* l l))
1/3
(* l l)
U
(+ (* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l)))))) U)
(* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l))))))
l
(* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l)))))
(+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
1
(* K (* K (+ -1/8 (* (* K K) 1/384))))
K
(* K (+ -1/8 (* (* K K) 1/384)))
(+ -1/8 (* (* K K) 1/384))
-1/8
(* (* K K) 1/384)
(* K K)
1/384
(* J (+ 2 (* 1/3 (* l l))))
J
(+ 2 (* 1/3 (* l l)))
2
(* 1/3 (* l l))
1/3
(* l l)
U
(+ (* l (+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))) U)
(* l (+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8))))
l
(+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))
(* J (+ 2 (* 1/3 (* l l))))
J
(+ 2 (* 1/3 (* l l)))
2
(* 1/3 (* l l))
1/3
(* l l)
(* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8))
(* (* K K) (+ 2 (* 1/3 (* l l))))
(* K K)
K
(* J -1/8)
-1/8
U

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

localize1.1s (7.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 l l))
✓	accuracy	94.5%	(.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64)))))
✓	accuracy	92.4%	(.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64)))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 l l))
✓	accuracy	99.5%	(.f64 (.f64 K K) #s(literal 1/384 binary64))
✓	accuracy	98.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
✓	accuracy	98.1%	(.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
✓	accuracy	100.0%	(.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 l l))
✓	accuracy	96.7%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
✓	accuracy	94.5%	(.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	100.0%	(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
✓	accuracy	100.0%	(.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 l l))
✓	accuracy	100.0%	(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
✓	accuracy	99.9%	(*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓	accuracy	99.8%	(/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))

Results

842.0ms	122×	5	exit
149.0ms	134×	0	valid

Compiler

Compiled 511 to 44 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 458.0ms

ival-cos: 133.0ms (29% of total)

ival-mult: 123.0ms (26.8% of total)

backward-pass: 122.0ms (26.6% of total)

ival-add: 37.0ms (8.1% of total)

ival-div: 20.0ms (4.4% of total)

...c/correct-round.rkt:119:19: 12.0ms (2.6% of total)

ival-sinh: 9.0ms (2% of total)

const: 2.0ms (0.4% of total)

series171.0ms (1.1%)

Counts

24 → 684

Calls

Call 1

Inputs
#<alt (+ (/ (* J (cos (/ K 2))) (/ 1/2 (sinh l))) U)>
#<alt (/ (* J (cos (/ K 2))) (/ 1/2 (sinh l)))>
#<alt (* J (cos (/ K 2)))>
#<alt (cos (/ K 2))>
#<alt (+ (* l (* J (+ 2 (* 1/3 (* l l))))) U)>
#<alt (* l (* J (+ 2 (* 1/3 (* l l)))))>
#<alt (* J (+ 2 (* 1/3 (* l l))))>
#<alt (+ 2 (* 1/3 (* l l)))>
#<alt (+ (* l (* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l)))))) U)>
#<alt (* l (* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l))))))>
#<alt (* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l)))))>
#<alt (+ 1 (* -1/8 (* K K)))>
#<alt (+ (* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l)))))) U)>
#<alt (* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l))))))>
#<alt (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l)))))>
#<alt (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))>
#<alt (+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))>
#<alt (+ (* l (+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))) U)>
#<alt (* l (+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8))))>
#<alt (/ 1/2 (sinh l))>
#<alt (* 1/3 (* l l))>
#<alt (* l l)>
#<alt (* (* K K) 1/384)>
#<alt (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8))>

Outputs
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))>
#<alt (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt J>
#<alt (+ J (* -1/8 (* J (pow K 2))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))>
#<alt (+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt (* J (cos (* 1/2 K)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt U>
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#<alt (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))>
#<alt U>
#<alt (+ U (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))))))>
#<alt (+ U (* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))))))>
#<alt (* (pow l 3) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))>
#<alt (* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))>
#<alt (* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))))>
#<alt (* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))))>
#<alt (* (pow l 3) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2))))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (+ (* -1 (/ U (pow l 3))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2)))))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (+ (* -1 (/ U (pow l 3))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2)))))))>
#<alt U>
#<alt (+ U (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2)))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (+ (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))>
#<alt (* -1 (* J (+ (* -1 (/ U J)) (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))>
#<alt (* -1 (* J (+ (* -1 (/ U J)) (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))>
#<alt (* -1 (* J (+ (* -1 (/ U J)) (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))>
#<alt (* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))))))>
#<alt (* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))))))>
#<alt (* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))))))>
#<alt (* (pow l 3) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))>
#<alt (* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))>
#<alt (* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))>
#<alt (* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))>
#<alt (* (pow l 3) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2))))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2))))))>
#<alt (* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))>
#<alt (* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))>
#<alt (* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))>
#<alt (* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))>
#<alt (* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))))>
#<alt (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2))))>
#<alt (/ 1/2 l)>
#<alt (/ (+ 1/2 (* -1/12 (pow l 2))) l)>
#<alt (/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)>
#<alt (/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (/ 1 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (* 1/3 (pow l 2))>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* 1/384 (pow K 2))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/4 (* J (pow K 2)))>
#<alt (+ (* -1/4 (* J (pow K 2))) (* -1/24 (* J (* (pow K 2) (pow l 2)))))>
#<alt (+ (* -1/4 (* J (pow K 2))) (* -1/24 (* J (* (pow K 2) (pow l 2)))))>
#<alt (+ (* -1/4 (* J (pow K 2))) (* -1/24 (* J (* (pow K 2) (pow l 2)))))>
#<alt (* -1/24 (* J (* (pow K 2) (pow l 2))))>
#<alt (* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))>
#<alt (* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))>
#<alt (* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))>
#<alt (* -1/24 (* J (* (pow K 2) (pow l 2))))>
#<alt (* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))>
#<alt (* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))>
#<alt (* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))>

Calls

171 calls:

Time	Variable		Point	Expression
46.0ms	J	@	0	(+ (* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l)))))) U)
25.0ms	J	@	inf	(+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))
14.0ms	J	@	0	(* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l))))))
12.0ms	J	@	inf	(* J (cos (/ K 2)))
1.0ms	J	@	0	(+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))

rewrite574.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3922×	`-lowering-.f32`
3922×	`-lowering-.f64`
1930×	`/-lowering-/.f32`
1930×	`/-lowering-/.f64`
880×	`sum4-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	278
1	157	248
2	725	248
3	3723	248
0	8307	248

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 652

Calls

Call 1

Inputs
(+ (/ (* J (cos (/ K 2))) (/ 1/2 (sinh l))) U)
(/ (* J (cos (/ K 2))) (/ 1/2 (sinh l)))
(* J (cos (/ K 2)))
(cos (/ K 2))
(+ (* l (* J (+ 2 (* 1/3 (* l l))))) U)
(* l (* J (+ 2 (* 1/3 (* l l)))))
(* J (+ 2 (* 1/3 (* l l))))
(+ 2 (* 1/3 (* l l)))
(+ (* l (* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l)))))) U)
(* l (* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l))))))
(* (+ 1 (* -1/8 (* K K))) (* J (+ 2 (* 1/3 (* l l)))))
(+ 1 (* -1/8 (* K K)))
(+ (* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l)))))) U)
(* l (* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l))))))
(* (+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384))))) (* J (+ 2 (* 1/3 (* l l)))))
(+ 1 (* K (* K (+ -1/8 (* (* K K) 1/384)))))
(+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))
(+ (* l (+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8)))) U)
(* l (+ (* J (+ 2 (* 1/3 (* l l)))) (* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8))))
(/ 1/2 (sinh l))
(* 1/3 (* l l))
(* l l)
(* (* K K) 1/384)
(* (* (* K K) (+ 2 (* 1/3 (* l l)))) (* J -1/8))

Outputs
(+.f64 (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (/.f64 #s(literal 1/2 binary64) J)) U)
(+.f64 U (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (/.f64 #s(literal 1/2 binary64) J)))
(-.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 J (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))))
(fma.f64 J (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (sinh.f64 l) #s(literal 1/2 binary64))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (*.f64 J (sinh.f64 l)) #s(literal 1/2 binary64)) U)
(fma.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) U)
(fma.f64 (sinh.f64 l) (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) U)
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (/.f64 #s(literal 1/2 binary64) J)) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) J)) (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) U)
(fma.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (/.f64 J #s(literal 1/2 binary64)) (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) U)
(fma.f64 (/.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (sinh.f64 l) U)
(fma.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (/.f64 (sinh.f64 l) #s(literal 1/2 binary64))) J U)
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(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) (*.f64 J l))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))) (.f64 J l)) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) J)
(.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (*.f64 K #s(literal -1/8 binary64))))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 4 binary64) (sinh.f64 l)))
(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l))))
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (sinh.f64 l)))
(/.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 l)) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 l) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l)))
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 l)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sinh.f64 l)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (sinh.f64 l)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 l)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 l)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (sinh.f64 l)))
(*.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 l)) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 l) #s(literal -1/2 binary64))) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sinh.f64 l)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (sinh.f64 l) #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal -2 binary64))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(.f64 #s(literal 1/3 binary64) (.f64 l l))
(.f64 (.f64 l l) #s(literal 1/3 binary64))
(.f64 (.f64 l #s(literal 1/3 binary64)) l)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 l)))
(exp.f64 (+.f64 (log.f64 l) (log.f64 l)))
(pow.f64 l #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 l))
(*.f64 l l)
(.f64 (.f64 l l) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 l l))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) K) (.f64 K #s(literal 1/384 binary64))))
(neg.f64 (.f64 (.f64 K #s(literal 1/384 binary64)) (-.f64 #s(literal 0 binary64) K)))
(.f64 K (.f64 K #s(literal 1/384 binary64)))
(.f64 (.f64 K K) #s(literal 1/384 binary64))
(.f64 #s(literal 1/384 binary64) (.f64 K K))
(.f64 (.f64 K #s(literal 1/384 binary64)) K)
(+.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 K (.f64 #s(literal -1/8 binary64) (.f64 J K)))) (.f64 #s(literal 2 binary64) (.f64 K (.f64 #s(literal -1/8 binary64) (.f64 J K)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 K (.f64 #s(literal -1/8 binary64) (.f64 J K)))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 K (.f64 #s(literal -1/8 binary64) (.f64 J K)))))
(+.f64 (.f64 (.f64 J (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 K (.f64 K #s(literal -1/8 binary64)))) (.f64 (/.f64 J #s(literal 1/2 binary64)) (.f64 K (*.f64 K #s(literal -1/8 binary64)))))
(+.f64 (.f64 (/.f64 J #s(literal 1/2 binary64)) (.f64 K (.f64 K #s(literal -1/8 binary64)))) (.f64 (.f64 J (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 K (*.f64 K #s(literal -1/8 binary64)))))
(+.f64 (.f64 (.f64 K (.f64 K #s(literal -1/8 binary64))) (.f64 J (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (/.f64 (.f64 K (.f64 K #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)))
(+.f64 (/.f64 (.f64 K (.f64 K #s(literal -1/8 binary64))) (/.f64 #s(literal 1/2 binary64) J)) (.f64 (.f64 K (.f64 K #s(literal -1/8 binary64))) (.f64 J (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(fma.f64 (.f64 J #s(literal -1/8 binary64)) (.f64 K (.f64 K #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 K (.f64 #s(literal -1/8 binary64) (*.f64 J K)))))
(fma.f64 (.f64 K (.f64 K #s(literal 2 binary64))) (.f64 J #s(literal -1/8 binary64)) (.f64 (.f64 #s(literal 1/3 binary64) (.f64 l l)) (.f64 K (.f64 #s(literal -1/8 binary64) (*.f64 J K)))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) K) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 #s(literal -1/8 binary64) (.f64 J K)))))
(neg.f64 (.f64 (-.f64 #s(literal 0 binary64) K) (.f64 (.f64 K #s(literal -1/8 binary64)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))))
(neg.f64 (.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 #s(literal -1/8 binary64) (.f64 J K))) (-.f64 #s(literal 0 binary64) K)))
(neg.f64 (.f64 (.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 K #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) K)))
(.f64 J (.f64 K (.f64 (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) #s(literal -1/8 binary64))))
(.f64 K (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 #s(literal -1/8 binary64) (.f64 J K))))
(.f64 K (.f64 (.f64 K #s(literal -1/8 binary64)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 K (.f64 #s(literal -1/8 binary64) (.f64 J K))))
(.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 K (.f64 K #s(literal -1/8 binary64))))
(.f64 #s(literal -1/8 binary64) (.f64 J (.f64 K (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))))
(.f64 (.f64 K K) (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J #s(literal -1/8 binary64))))
(.f64 (.f64 K (.f64 K #s(literal -1/8 binary64))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(.f64 (.f64 K (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (.f64 J #s(literal -1/8 binary64)))
(.f64 (.f64 J #s(literal -1/8 binary64)) (.f64 K (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 K #s(literal -1/8 binary64)) (.f64 J (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 J (.f64 K (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) #s(literal -1/8 binary64))
(.f64 (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 #s(literal -1/8 binary64) (.f64 J K)))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J #s(literal -1/8 binary64))) (.f64 K K))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) #s(literal -1/8 binary64)) (.f64 J (.f64 K K)))
(.f64 (.f64 K (.f64 (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) #s(literal -1/8 binary64))) J)
(.f64 (.f64 #s(literal -1/8 binary64) (.f64 J K)) (.f64 K (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(.f64 (.f64 K (.f64 #s(literal -1/8 binary64) (.f64 J K))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 #s(literal -1/8 binary64) (.f64 J K))) K)
(.f64 (.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) K) (.f64 K #s(literal -1/8 binary64)))
(.f64 (.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 K #s(literal -1/8 binary64))) K)

simplify426.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

6386×	`-lowering-.f32`
6386×	`-lowering-.f64`
2442×	`+-lowering-+.f64`
2442×	`+-lowering-+.f32`
1470×	`sum4-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	434	13353
1	1605	10795
2	7243	10777
0	8101	10777

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 684

Calls

Call 1

Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l)))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))))
(+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
J
(+ J (* -1/8 (* J (pow K 2))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* 1/384 (* J (pow K 2))))))
(+ J (* (pow K 2) (+ (* -1/8 J) (* (pow K 2) (+ (* -1/46080 (* J (pow K 2))) (* 1/384 J))))))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
(* J (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
U
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
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(+ U (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))))
U
(* U (+ 1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* -1 (* U (- (* -1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* l (+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* l (+ (* -1/4 (* J (pow K 2))) (* 2 J)))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))))))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))))))
(* l (+ (* -1/4 (* J (pow K 2))) (+ (* 2 J) (* (pow l 2) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))))))
(* (pow l 3) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))
(* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))
(* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))
(* (pow l 3) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/24 (* J (pow K 2))) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))))
(* (pow l 3) (+ (* -1/24 (* J (pow K 2))) (* 1/3 J)))
(* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2))))))
(* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2))))))
(* -1 (* (pow l 3) (+ (* -1 (+ (* -1/24 (* J (pow K 2))) (* 1/3 J))) (* -1 (/ (+ (* -1/4 (* J (pow K 2))) (* 2 J)) (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (+ (* -1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/3 (pow l 2))))))
(* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(* -1 (* J (* l (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* 1/8 (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(* 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))))))
(+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 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))))))
(* -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))))
(* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 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 (+ 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))))
(* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 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))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* 1/384 (pow K 2))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/4 (* J (pow K 2)))
(+ (* -1/4 (* J (pow K 2))) (* -1/24 (* J (* (pow K 2) (pow l 2)))))
(+ (* -1/4 (* J (pow K 2))) (* -1/24 (* J (* (pow K 2) (pow l 2)))))
(+ (* -1/4 (* J (pow K 2))) (* -1/24 (* J (* (pow K 2) (pow l 2)))))
(* -1/24 (* J (* (pow K 2) (pow l 2))))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))
(* -1/24 (* J (* (pow K 2) (pow l 2))))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))
(* (pow l 2) (+ (* -1/4 (/ (* J (pow K 2)) (pow l 2))) (* -1/24 (* J (pow K 2)))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))

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

eval561.0ms (3.6%)

Compiler: Compiled 40574 to 2570 computations (93.7% saved)

prune195.0ms (1.3%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1655	21	1676
Fresh	3	7	10
Picked	5	0	5
Done	0	1	1
Total	1663	29	1692

Accuracy

100.0%

Counts

1692 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)
▶	81.3%	(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
	73.8%	(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
	67.6%	(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
	63.6%	(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
	74.6%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
	76.1%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
	76.1%	(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
	39.8%	(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
	45.5%	(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
	45.3%	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
▶	51.1%	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
	63.6%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
	67.6%	(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
	46.6%	(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
▶	53.6%	(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
	63.0%	(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
	12.2%	(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
▶	35.8%	(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
	29.8%	(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
	18.9%	(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
	23.5%	(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
	32.9%	(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
	57.0%	(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
	68.6%	(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
	44.8%	(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
▶	62.7%	(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
	28.4%	(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
✓	37.3%	U

Compiler

Compiled 1233 to 812 computations (34.1% saved)

simplify253.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 l l)
✓	cost-diff	0	(.f64 l (.f64 l l))
✓	cost-diff	128	(+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (*.f64 l l)))))
✓	cost-diff	640	(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K)))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (.f64 l l))))
✓	cost-diff	0	(.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
✓	cost-diff	0	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
✓	cost-diff	0	(.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	cost-diff	0	(/.f64 U J)
✓	cost-diff	0	(+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
✓	cost-diff	128	(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
✓	cost-diff	0	(*.f64 J #s(literal 2 binary64))
✓	cost-diff	0	(.f64 l (.f64 J #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
✓	cost-diff	0	(sinh.f64 l)
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
✓	cost-diff	0	(/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))
✓	cost-diff	0	(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)

Rules

2872×	`-lowering-.f32`
2872×	`-lowering-.f64`
1512×	`+-lowering-+.f64`
1512×	`+-lowering-+.f32`
1416×	`fma-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	235
1	115	220
2	368	218
3	1204	218
4	2866	214
5	4761	214
6	7316	214
0	8042	214

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (/ J (/ 1/2 (sinh l))) U)
(/ J (/ 1/2 (sinh l)))
J
(/ 1/2 (sinh l))
1/2
(sinh l)
l
U
(+ (* l (* J 2)) U)
(* l (* J 2))
l
(* J 2)
J
2
U
(* J (+ (/ U J) (* l (+ 2 (* 1/3 (* l l))))))
J
(+ (/ U J) (* l (+ 2 (* 1/3 (* l l)))))
(/ U J)
U
(* l (+ 2 (* 1/3 (* l l))))
l
(+ 2 (* 1/3 (* l l)))
2
(* 1/3 (* l l))
1/3
(* l l)
(+ (* l (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l))))) U)
(* l (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l)))))
l
(* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l))))
(+ 1 (* -1/8 (* K K)))
1
(* -1/8 (* K K))
-1/8
(* K K)
K
(* J (* 1/3 (* l l)))
J
(* 1/3 (* l l))
1/3
(* l l)
U
(* (* l (* l l)) (+ (/ (* J 2) (* l l)) (+ (* J 1/3) (/ U (* l (* l l))))))
(* l (* l l))
l
(* l l)
(+ (/ (* J 2) (* l l)) (+ (* J 1/3) (/ U (* l (* l l)))))
(/ (* J 2) (* l l))
(* J 2)
J
2
(+ (* J 1/3) (/ U (* l (* l l))))
(* J 1/3)
1/3
(/ U (* l (* l l)))
U

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

localize654.0ms (4.2%)

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.8%	(/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))
✓	accuracy	94.8%	(/.f64 U (.f64 l (.f64 l l)))
✓	accuracy	90.2%	(+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (*.f64 l l)))))
✓	accuracy	60.6%	(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 l l))
✓	accuracy	98.8%	(.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))
✓	accuracy	93.0%	(.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l)))
✓	accuracy	89.5%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (.f64 l l))))
✓	accuracy	100.0%	(*.f64 l l)
✓	accuracy	100.0%	(.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))
✓	accuracy	99.8%	(.f64 #s(literal 1/3 binary64) (.f64 l l))
✓	accuracy	93.4%	(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
✓	accuracy	100.0%	(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
✓	accuracy	100.0%	(.f64 l (.f64 J #s(literal 2 binary64)))
✓	accuracy	100.0%	(*.f64 J #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
✓	accuracy	100.0%	(sinh.f64 l)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) (sinh.f64 l))
✓	accuracy	99.9%	(/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l)))

Results

431.0ms	122×	5	exit
118.0ms	134×	0	valid

Compiler

Compiled 284 to 38 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 171.0ms

backward-pass: 61.0ms (35.6% of total)

ival-mult: 35.0ms (20.4% of total)

ival-add: 34.0ms (19.8% of total)

ival-div: 21.0ms (12.3% of total)

ival-sinh: 12.0ms (7% of total)

...c/correct-round.rkt:119:19: 7.0ms (4.1% of total)

const: 2.0ms (1.2% of total)

series48.0ms (0.3%)

Counts

23 → 576

Calls

Call 1

Inputs
#<alt (+ (/ J (/ 1/2 (sinh l))) U)>
#<alt (/ J (/ 1/2 (sinh l)))>
#<alt (/ 1/2 (sinh l))>
#<alt (sinh l)>
#<alt (+ (* l (* J 2)) U)>
#<alt (* l (* J 2))>
#<alt (* J 2)>
#<alt (* J (+ (/ U J) (* l (+ 2 (* 1/3 (* l l))))))>
#<alt (+ (/ U J) (* l (+ 2 (* 1/3 (* l l)))))>
#<alt (/ U J)>
#<alt (* l (+ 2 (* 1/3 (* l l))))>
#<alt (+ (* l (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l))))) U)>
#<alt (* l (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l)))))>
#<alt (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l))))>
#<alt (+ 1 (* -1/8 (* K K)))>
#<alt (* (* l (* l l)) (+ (/ (* J 2) (* l l)) (+ (* J 1/3) (/ U (* l (* l l))))))>
#<alt (+ (/ (* J 2) (* l l)) (+ (* J 1/3) (/ U (* l (* l l)))))>
#<alt (* l (* l l))>
#<alt (* l l)>
#<alt (* 1/3 (* l l))>
#<alt (* J (* 1/3 (* l l)))>
#<alt (/ U (* l (* l l)))>
#<alt (/ (* J 2) (* l l))>

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

Calls

144 calls:

Time	Variable		Point	Expression
3.0ms	l	@	-inf	(+ (/ J (/ 1/2 (sinh l))) U)
2.0ms	J	@	0	(+ (* l (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l))))) U)
2.0ms	J	@	0	(* J (+ (/ U J) (* l (+ 2 (* 1/3 (* l l))))))
2.0ms	U	@	0	(/ U (* l (* l l)))
1.0ms	J	@	0	(* (* l (* l l)) (+ (/ (* J 2) (* l l)) (+ (* J 1/3) (/ U (* l (* l l))))))

rewrite275.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

3490×	`-lowering-.f32`
3490×	`-lowering-.f64`
1830×	`+-lowering-+.f64`
1830×	`+-lowering-+.f32`
1688×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	181
1	151	168
2	703	163
3	4902	163
0	8016	163

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 858

Calls

Call 1

Inputs
(+ (/ J (/ 1/2 (sinh l))) U)
(/ J (/ 1/2 (sinh l)))
(/ 1/2 (sinh l))
(sinh l)
(+ (* l (* J 2)) U)
(* l (* J 2))
(* J 2)
(* J (+ (/ U J) (* l (+ 2 (* 1/3 (* l l))))))
(+ (/ U J) (* l (+ 2 (* 1/3 (* l l)))))
(/ U J)
(* l (+ 2 (* 1/3 (* l l))))
(+ (* l (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l))))) U)
(* l (* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l)))))
(* (+ 1 (* -1/8 (* K K))) (* J (* 1/3 (* l l))))
(+ 1 (* -1/8 (* K K)))
(* (* l (* l l)) (+ (/ (* J 2) (* l l)) (+ (* J 1/3) (/ U (* l (* l l))))))
(+ (/ (* J 2) (* l l)) (+ (* J 1/3) (/ U (* l (* l l)))))
(* l (* l l))
(* l l)
(* 1/3 (* l l))
(* J (* 1/3 (* l l)))
(/ U (* l (* l l)))
(/ (* J 2) (* l l))

Outputs
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 U (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) J))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) J (.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) J)))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l)))) #s(literal 2 binary64) (.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l))) #s(literal 2 binary64))))
(+.f64 (+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U) (fma.f64 (sinh.f64 l) (/.f64 J #s(literal 1/2 binary64)) (*.f64 J (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)))))
(+.f64 (+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U) (fma.f64 (/.f64 J #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) (sinh.f64 l)) (*.f64 J (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J)))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) J) (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (sinh.f64 l) (/.f64 J #s(literal -1/2 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 l)) (/.f64 J #s(literal -1/2 binary64)) (.f64 (sinh.f64 l) (/.f64 J #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) #s(literal -1 binary64)))) (fma.f64 (.f64 J (/.f64 (sinh.f64 l) #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) #s(literal -1 binary64))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 J (sinh.f64 l))) #s(literal -2 binary64) (.f64 (*.f64 J (sinh.f64 l)) #s(literal -2 binary64))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 J #s(literal -1 binary64))))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) (/.f64 J #s(literal -1 binary64)) (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 J #s(literal -1 binary64)))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l)))))) (fma.f64 (neg.f64 (/.f64 J #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l))) (.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l))))))
(+.f64 (fma.f64 J (/.f64 U J) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 1 binary64))))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 1 binary64)) (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 1 binary64)))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) J))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) J (.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) J)))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l)))) #s(literal 2 binary64) (.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l))) #s(literal 2 binary64))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J)))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) J) (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) J))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (sinh.f64 l) (/.f64 J #s(literal -1/2 binary64))))) (fma.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 l)) (/.f64 J #s(literal -1/2 binary64)) (.f64 (sinh.f64 l) (/.f64 J #s(literal -1/2 binary64)))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) #s(literal -1 binary64)))) (fma.f64 (.f64 J (/.f64 (sinh.f64 l) #s(literal -1/2 binary64))) #s(literal -1 binary64) (*.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) #s(literal -1 binary64))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (.f64 J (sinh.f64 l)) #s(literal -2 binary64)))) (fma.f64 (neg.f64 (.f64 J (sinh.f64 l))) #s(literal -2 binary64) (.f64 (*.f64 J (sinh.f64 l)) #s(literal -2 binary64))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 J #s(literal -1 binary64))))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) (/.f64 J #s(literal -1 binary64)) (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 J #s(literal -1 binary64)))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l)))))) (fma.f64 (neg.f64 (/.f64 J #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l))) (.f64 (/.f64 J #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/4 binary64) (sinh.f64 l))))))
(+.f64 (fma.f64 U #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 1 binary64))))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 1 binary64)) (.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) J) #s(literal 1 binary64)))))
(+.f64 (fma.f64 (/.f64 U J) J (neg.f64 (.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) J))) (fma.f64 (/.f64 (sinh.f64 l) #s(literal 1/2 binary64)) J (.f64 (/.f64 (sinh.f64 l) #s(literal -1/2 binary64)) J)))
(+.f64 (fma.f64 (/.f64 U J) J (neg.f64 (.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l))) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l)))) #s(literal 2 binary64) (.f64 (/.f64 J (/.f64 #s(literal -1 binary64) (sinh.f64 l))) #s(literal 2 binary64))))
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simplify337.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

6196×	`-lowering-.f32`
6196×	`-lowering-.f64`
4024×	`+-lowering-+.f64`
4024×	`+-lowering-+.f32`
1504×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	284	5934
1	964	5219
2	3693	5084
0	8203	5084

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 576

Calls

Call 1

Inputs
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(/ 1/2 l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
(* 2 J)
U
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J)))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* 1/3 (pow l 2))))) (* -1 (/ U J)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) U)) 1)))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* l (+ 2 (* 1/3 (pow l 2))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(/ U J)
(* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))
(* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))
(* U (+ (/ 1 J) (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)))
(/ U J)
(* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))
(* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))
(* -1 (* U (- (* -1 (/ (* l (+ 2 (* 1/3 (pow l 2)))) U)) (/ 1 J))))
(/ U J)
(/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)
(/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)
(/ (+ U (* J (* l (+ 2 (* 1/3 (pow l 2)))))) J)
(* l (+ 2 (* 1/3 (pow l 2))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(* l (+ 2 (* 1/3 (pow l 2))))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(/ U J)
(+ (* 2 l) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(+ (* l (+ 2 (* 1/3 (pow l 2)))) (/ U J))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))
(* (pow l 3) (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* -1 (* (pow l 3) (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(* -1 (* (pow l 3) (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(/ U J)
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* 1/3 (pow l 2))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
U
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 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))))) (/ U (pow l 3))))
(* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (/ U (pow l 3))))
(* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (/ U (pow l 3))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* -1 (* (pow l 3) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* (pow l 3) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* (pow l 3) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2))))))))
(+ U (* 1/3 (* J (pow l 3))))
(+ U (+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3)))))
(+ U (+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3)))))
(+ U (+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3)))))
(* -1/24 (* J (* (pow K 2) (pow l 3))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (+ (* 1/3 (/ (* J (pow l 3)) (pow K 2))) (/ U (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (+ (* 1/3 (/ (* J (pow l 3)) (pow K 2))) (/ U (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (+ (* 1/3 (/ (* J (pow l 3)) (pow K 2))) (/ U (pow K 2)))))
(* -1/24 (* J (* (pow K 2) (pow l 3))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (+ (* 1/3 (/ (* J (pow l 3)) (pow K 2))) (/ U (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (+ (* 1/3 (/ (* J (pow l 3)) (pow K 2))) (/ U (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (+ (* 1/3 (/ (* J (pow l 3)) (pow K 2))) (/ U (pow K 2)))))
U
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* J (+ (* 1/3 (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) (/ U J)))
(* J (+ (* 1/3 (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) (/ U J)))
(* J (+ (* 1/3 (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) (/ U J)))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* -1 (* J (+ (* -1 (/ U J)) (* -1/3 (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* J (+ (* -1 (/ U J)) (* -1/3 (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* J (+ (* -1 (/ U J)) (* -1/3 (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
(+ U (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2)))))))
U
(* U (+ 1 (* 1/3 (/ (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) U))))
(* U (+ 1 (* 1/3 (/ (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) U))))
(* U (+ 1 (* 1/3 (/ (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) U))))
U
(* -1 (* U (- (* -1/3 (/ (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) U)) 1)))
(* -1 (* U (- (* -1/3 (/ (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) U)) 1)))
(* -1 (* U (- (* -1/3 (/ (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))) U)) 1)))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (pow l 3)))
(+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3))))
(+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3))))
(+ (* -1/24 (* J (* (pow K 2) (pow l 3)))) (* 1/3 (* J (pow l 3))))
(* -1/24 (* J (* (pow K 2) (pow l 3))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/3 (/ (* J (pow l 3)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/3 (/ (* J (pow l 3)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/3 (/ (* J (pow l 3)) (pow K 2)))))
(* -1/24 (* J (* (pow K 2) (pow l 3))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/3 (/ (* J (pow l 3)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/3 (/ (* J (pow l 3)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 3))) (* 1/3 (/ (* J (pow l 3)) (pow K 2)))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (pow l 2)))
(+ (* -1/24 (* J (* (pow K 2) (pow l 2)))) (* 1/3 (* J (pow l 2))))
(+ (* -1/24 (* J (* (pow K 2) (pow l 2)))) (* 1/3 (* J (pow l 2))))
(+ (* -1/24 (* J (* (pow K 2) (pow l 2)))) (* 1/3 (* J (pow l 2))))
(* -1/24 (* J (* (pow K 2) (pow l 2))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 2))) (* 1/3 (/ (* J (pow l 2)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 2))) (* 1/3 (/ (* J (pow l 2)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 2))) (* 1/3 (/ (* J (pow l 2)) (pow K 2)))))
(* -1/24 (* J (* (pow K 2) (pow l 2))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 2))) (* 1/3 (/ (* J (pow l 2)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 2))) (* 1/3 (/ (* J (pow l 2)) (pow K 2)))))
(* (pow K 2) (+ (* -1/24 (* J (pow l 2))) (* 1/3 (/ (* J (pow l 2)) (pow K 2)))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
(* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2))))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* -1/8 (pow K 2)))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 J)))))
U
(+ U (* J (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(+ U (* J (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(+ U (* J (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(* J (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* J (+ (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (/ U J)))
(* J (+ (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (/ U J)))
(* J (+ (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))) (/ U J)))
(* J (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2))))))
(* -1 (* J (+ (* -1 (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))) (* -1 (/ U J)))))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(+ U (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))))
(+ U (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))))
(+ U (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))))
U
(* U (+ 1 (/ (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) U)))
(* U (+ 1 (/ (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) U)))
(* U (+ 1 (/ (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) U)))
U
(* -1 (* U (- (* -1 (/ (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2))))) U)) 1)))
(/ U (pow l 3))
(+ (* J (+ 1/3 (* 2 (/ 1 (pow l 2))))) (/ U (pow l 3)))
(+ (* J (+ 1/3 (* 2 (/ 1 (pow l 2))))) (/ U (pow l 3)))
(+ (* J (+ 1/3 (* 2 (/ 1 (pow l 2))))) (/ U (pow l 3)))
(* J (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* J (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))
(* J (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))
(* J (+ 1/3 (+ (* 2 (/ 1 (pow l 2))) (/ U (* J (pow l 3))))))
(* J (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* -1 (* J (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(* -1 (* J (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(* -1 (* J (- (* -1 (/ U (* J (pow l 3)))) (+ 1/3 (* 2 (/ 1 (pow l 2)))))))
(/ U (pow l 3))
(/ (+ U (* 2 (* J l))) (pow l 3))
(/ (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (pow l 3))
(/ (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (pow l 3))
(* 1/3 J)
(+ (* 1/3 J) (* 2 (/ J (pow l 2))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(* 1/3 J)
(+ (* 1/3 J) (* 2 (/ J (pow l 2))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+ (* 1/3 J) (* 2 (/ J (pow l 2))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(/ U (pow l 3))
(* U (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3)))))
(* U (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3)))))
(* U (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3)))))
(/ U (pow l 3))
(* -1 (* U (- (* -1 (/ (+ (* 1/3 J) (* 2 (/ J (pow l 2)))) U)) (/ 1 (pow l 3)))))
(* -1 (* U (- (* -1 (/ (+ (* 1/3 J) (* 2 (/ J (pow l 2)))) U)) (/ 1 (pow l 3)))))
(* -1 (* U (- (* -1 (/ (+ (* 1/3 J) (* 2 (/ J (pow l 2)))) U)) (/ 1 (pow l 3)))))
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 3)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (pow l 2))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(* 1/3 (* J (pow l 2)))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(/ U (pow l 3))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))
(* 2 (/ J (pow l 2)))

Outputs
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 U J))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 U J))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 U J))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (+.f64 (exp.f64 l) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (+.f64 (exp.f64 l) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (+.f64 (exp.f64 l) (+.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) (/.f64 U J))))
U
(+ U (* 2 (* J l)))
(+.f64 U (.f64 J (.f64 l #s(literal 2 binary64))))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+.f64 U (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64)))))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(+.f64 U (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 l l)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (*.f64 l l)))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+.f64 U (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))))
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (/.f64 J U))))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (/.f64 J U))))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (/.f64 J U))))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (/.f64 J U))) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (/.f64 J U))) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) (/.f64 J U))) (-.f64 #s(literal 0 binary64) U))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 l l)) (+.f64 #s(literal 1/3 binary64) (.f64 #s(literal 1/60 binary64) (*.f64 l l))))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (.f64 (.f64 J (.f64 l l)) (+.f64 #s(literal 1/60 binary64) (.f64 #s(literal 1/2520 binary64) (.f64 l l)))))))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1/2 l)
(/.f64 #s(literal 1/2 binary64) l)
(/ (+ 1/2 (* -1/12 (pow l 2))) l)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 l l) #s(literal -1/12 binary64))) l)
(/ (+ 1/2 (* (pow l 2) (- (* 7/720 (pow l 2)) 1/12))) l)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1/12 binary64) (.f64 l (.f64 l #s(literal 7/720 binary64)))))) l)
(/ (+ 1/2 (* (pow l 2) (- (* (pow l 2) (+ 7/720 (* -31/30240 (pow l 2)))) 1/12))) l)
(/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal -1/12 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 7/720 binary64) (.f64 (.f64 l l) #s(literal -31/30240 binary64))))))) l)
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
(/ 1 (- (exp l) (/ 1 (exp l))))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(.f64 l (+.f64 #s(literal 1 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/6 binary64) (.f64 (*.f64 l l) #s(literal 1/120 binary64)))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(.f64 l (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/6 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 l l) #s(literal 1/5040 binary64)))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l))) #s(literal 1/2 binary64))
U
(+ U (* 2 (* J l)))
(+.f64 U (.f64 J (.f64 l #s(literal 2 binary64))))
(+ U (* 2 (* J l)))
(+.f64 U (.f64 J (.f64 l #s(literal 2 binary64))))
(+ U (* 2 (* J l)))
(+.f64 U (.f64 J (.f64 l #s(literal 2 binary64))))
(* 2 (* J l))
(.f64 J (.f64 l #s(literal 2 binary64)))
(* l (+ (* 2 J) (/ U l)))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(* l (+ (* 2 J) (/ U l)))
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(.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+.f64 (.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l)))) (/.f64 U (.f64 l (.f64 l l))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+.f64 (.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l)))) (/.f64 U (.f64 l (.f64 l l))))
(+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (/ U (pow l 3))))
(+.f64 (.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l)))) (/.f64 U (.f64 l (.f64 l l))))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(* U (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3)))))
(.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) l) (.f64 (/.f64 J U) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))))))
(* U (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3)))))
(.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) l) (.f64 (/.f64 J U) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))))))
(* U (+ (* 1/3 (/ J U)) (+ (* 2 (/ J (* U (pow l 2)))) (/ 1 (pow l 3)))))
(.f64 U (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) l) (.f64 (/.f64 J U) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l))))))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(* -1 (* U (- (* -1 (/ (+ (* 1/3 J) (* 2 (/ J (pow l 2)))) U)) (/ 1 (pow l 3)))))
(.f64 U (+.f64 (/.f64 (.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l)))) U) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) l)))
(* -1 (* U (- (* -1 (/ (+ (* 1/3 J) (* 2 (/ J (pow l 2)))) U)) (/ 1 (pow l 3)))))
(.f64 U (+.f64 (/.f64 (.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l)))) U) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) l)))
(* -1 (* U (- (* -1 (/ (+ (* 1/3 J) (* 2 (/ J (pow l 2)))) U)) (/ 1 (pow l 3)))))
(.f64 U (+.f64 (/.f64 (.f64 J (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 l l)))) U) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) l)))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 3)
(.f64 l (.f64 l l))
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(pow l 2)
(*.f64 l l)
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (pow l 2))
(.f64 l (.f64 l #s(literal 1/3 binary64)))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(* 1/3 (* J (pow l 2)))
(.f64 J (.f64 l (*.f64 l #s(literal 1/3 binary64))))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(/ U (pow l 3))
(/.f64 U (.f64 l (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))
(* 2 (/ J (pow l 2)))
(.f64 J (/.f64 #s(literal 2 binary64) (.f64 l l)))

eval263.0ms (1.7%)

Compiler: Compiled 33376 to 3253 computations (90.3% saved)

prune230.0ms (1.5%)

Pruning

36 alts after pruning (34 fresh and 2 done)

	Pruned	Kept	Total
New	1622	20	1642
Fresh	9	14	23
Picked	4	1	5
Done	0	1	1
Total	1635	36	1671

Accuracy

100.0%

Counts

1671 → 36

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.6%	(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)
	53.6%	(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
	70.1%	(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
✓	81.3%	(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
	53.6%	(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
	73.8%	(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
	63.6%	(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
	74.6%	(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
	76.1%	(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
	53.6%	(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
	39.8%	(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
	45.5%	(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
	45.3%	(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
	37.9%	(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
	37.9%	(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
	63.6%	(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
	46.6%	(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
	60.4%	(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
	63.0%	(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
	36.4%	(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
	28.4%	(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
	28.7%	(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
	12.0%	(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
	39.4%	(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
	23.5%	(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
	32.9%	(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
	68.6%	(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
	55.9%	(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
	56.1%	(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
	34.5%	(*.f64 J (/.f64 U J))
	62.6%	(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
	28.4%	(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
	28.4%	(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
	18.9%	(.f64 J (.f64 l #s(literal 2 binary64)))
	68.4%	(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
✓	37.3%	U

Compiler

Compiled 1772 to 738 computations (58.4% saved)

regimes242.0ms (1.6%)

Counts

67 → 1

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 l l)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 l l) (+.f64 (.f64 J #s(literal 1/3 binary64)) (.f64 (.f64 l l) (.f64 J (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

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

Calls

10 calls:

49.0ms	(/.f64 K #s(literal 2 binary64))
31.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
22.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
21.0ms	U
20.0ms	K

Results

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes134.0ms (0.9%)

Counts

64 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 l l)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 l l) (+.f64 (.f64 J #s(literal 1/3 binary64)) (.f64 (.f64 l l) (.f64 J (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 J (+.f64 (exp.f64 l) (/.f64 #s(literal -1 binary64) (exp.f64 l)))) U)

Outputs

(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)

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

Calls

6 calls:

26.0ms	J
21.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
20.0ms	K
20.0ms	l
20.0ms	U

Results

Accuracy	Segments	Branch
96.5%	3	`J`
93.1%	1	`l`
97.2%	2	`K`
93.1%	1	`U`
97.2%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
97.2%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes71.0ms (0.5%)

Counts

61 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 l l)) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)

Outputs

(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)

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

Calls

3 calls:

21.0ms	(/.f64 K #s(literal 2 binary64))
20.0ms	K
16.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
96.1%	2	`K`
96.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
96.1%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes64.0ms (0.4%)

Counts

59 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (cos.f64 (.f64 K #s(literal 1/2 binary64)))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))

Outputs

(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)

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

Calls

3 calls:

19.0ms	K
19.0ms	(/.f64 K #s(literal 2 binary64))
18.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
95.0%	2	`K`
95.0%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
95.0%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 20 to 17 computations (15% saved)

regimes133.0ms (0.9%)

Counts

57 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U)

Outputs

(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)

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

Calls

6 calls:

28.0ms	(/.f64 K #s(literal 2 binary64))
24.0ms	J
20.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))
18.0ms	U
18.0ms	l

Results

Accuracy	Segments	Branch
92.2%	4	`l`
85.3%	2	`U`
92.1%	3	`J`
94.3%	2	`K`
94.3%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
94.3%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 35 to 29 computations (17.1% saved)

regimes101.0ms (0.7%)

Counts

56 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) l) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 (*.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) l)) U)

Outputs

(*.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 l (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) U)))

(+.f64 (*.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)

Calls

5 calls:

27.0ms	(/.f64 K #s(literal 2 binary64))
17.0ms	J
17.0ms	K
16.0ms	l
16.0ms	(cos.f64 (/.f64 K #s(literal 2 binary64)))

Results

Accuracy	Segments	Branch
88.6%	3	`l`
87.5%	3	`J`
85.4%	2	`K`
87.1%	2	`(cos.f64 (/.f64 K #s(literal 2 binary64)))`
85.4%	2	`(/.f64 K #s(literal 2 binary64))`

Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes69.0ms (0.4%)

Counts

51 → 1

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)

Outputs
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)

Calls

4 calls:

16.0ms	J
15.0ms	K
15.0ms	U
15.0ms	l

Results

Accuracy	Segments	Branch
81.3%	1	`U`
81.3%	1	`K`
81.3%	1	`J`
81.3%	1	`l`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes66.0ms (0.4%)

Counts

50 → 3

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 (.f64 K K) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 J #s(literal -1/8 binary64))))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (.f64 (.f64 J (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))) (/.f64 l U))))
(.f64 l (.f64 (.f64 l l) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 J (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64)))))) (.f64 l l)))))

Outputs

(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))

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

(+.f64 (*.f64 (*.f64 J l) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (+.f64 #s(literal 1/60 binary64) (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))))))) U)

Calls

4 calls:

16.0ms	l
15.0ms	K
15.0ms	J
15.0ms	U

Results

Accuracy	Segments	Branch
76.1%	1	`K`
77.7%	2	`J`
79.6%	3	`l`
76.1%	1	`U`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes37.0ms (0.2%)

Counts

46 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)
(+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))) #s(literal 1 binary64)) U)

Outputs

(+.f64 (*.f64 (*.f64 J l) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (+.f64 #s(literal 1/60 binary64) (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))))))) U)

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

Calls

2 calls:

16.0ms	J
13.0ms	l

Results

Accuracy	Segments	Branch
77.7%	2	`J`
76.1%	1	`l`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes56.0ms (0.4%)

Counts

43 → 3

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U)))
(.f64 (.f64 l (.f64 l (+.f64 (.f64 J #s(literal 1/3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) l) l) (+.f64 (/.f64 J #s(literal 1/2 binary64)) (/.f64 U l)))))) l)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K #s(literal -1/8 binary64))))) U)))
(.f64 (.f64 J l) (+.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 (.f64 K K) (.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))))
(.f64 (.f64 l (.f64 l l)) (+.f64 (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 U (.f64 l (.f64 l l))))))
(+.f64 (.f64 l (+.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (.f64 (.f64 l l) (.f64 J (.f64 (*.f64 K K) #s(literal -1/24 binary64)))))) U)

Outputs

(*.f64 J (*.f64 l (*.f64 #s(literal 1/3 binary64) (*.f64 l l))))

(*.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 J (*.f64 (*.f64 l (*.f64 l (*.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K))))) U)))

(+.f64 (*.f64 (*.f64 J (*.f64 l (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)

Calls

4 calls:

13.0ms	J
13.0ms	U
13.0ms	l
12.0ms	K

Results

Accuracy	Segments	Branch
78.1%	3	`l`
74.6%	1	`K`
74.6%	1	`U`
76.2%	2	`J`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes28.0ms (0.2%)

Counts

37 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)
(+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)

Outputs

(+.f64 (*.f64 (*.f64 J (*.f64 l (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 l l) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)

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

Calls

2 calls:

12.0ms	l
12.0ms	J

Results

Accuracy	Segments	Branch
76.2%	2	`J`
74.6%	1	`l`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes53.0ms (0.3%)

Counts

36 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U)
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 K (.f64 K (+.f64 #s(literal -1/8 binary64) (.f64 (.f64 K K) #s(literal 1/384 binary64)))))) (*.f64 J #s(literal 2 binary64)))) U)

Outputs

(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) #s(literal 1/60 binary64)))))) (*.f64 J l)) U)

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

Calls

4 calls:

12.0ms	l
12.0ms	J
10.0ms	U
10.0ms	K

Results

Accuracy	Segments	Branch
73.8%	1	`K`
73.8%	1	`l`
73.8%	1	`U`
75.4%	2	`J`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes13.0ms (0.1%)

Counts

34 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U)

Outputs

(+.f64 (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) #s(literal 1/60 binary64)))))) (*.f64 J l)) U)

(+.f64 (*.f64 l (+.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
75.4%	2	`J`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes49.0ms (0.3%)

Counts

33 → 3

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)
(.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))
(+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)

Outputs

(*.f64 J (*.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 l (+.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))

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

(*.f64 J (*.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (*.f64 l (+.f64 #s(literal 2 binary64) (*.f64 l (*.f64 l #s(literal 1/3 binary64))))) U))))

Calls

4 calls:

14.0ms	J
13.0ms	U
10.0ms	K
9.0ms	l

Results

Accuracy	Segments	Branch
74.6%	3	`l`
74.2%	3	`U`
70.1%	1	`K`
71.7%	2	`J`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes32.0ms (0.2%)

Counts

31 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)
(.f64 J (+.f64 (.f64 (/.f64 #s(literal 1 binary64) J) U) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))))
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)))
(.f64 (.f64 l (.f64 l l)) (+.f64 (.f64 J #s(literal 1/3 binary64)) (/.f64 (.f64 J #s(literal 2 binary64)) (.f64 l l))))
(.f64 (.f64 (.f64 K K) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (*.f64 #s(literal -1/8 binary64) l))
(+.f64 (.f64 l (.f64 J (.f64 (.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))) l) l))) U)
(+.f64 (.f64 l (.f64 (.f64 #s(literal -1/8 binary64) (.f64 K K)) (.f64 J (.f64 #s(literal 1/3 binary64) (*.f64 l l))))) U)

Outputs

(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (*.f64 l (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 l l) #s(literal 1/6 binary64)))))) U)

(+.f64 (*.f64 l (+.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)

Calls

3 calls:

11.0ms	l
9.0ms	U
9.0ms	J

Results

Accuracy	Segments	Branch
71.7%	2	`J`
70.1%	1	`U`
70.1%	1	`l`

Compiler

Compiled 15 to 12 computations (20% saved)

regimes36.0ms (0.2%)

Counts

24 → 2

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l #s(literal 1/3 binary64)) l)))) U)
(+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))) (.f64 J l)) U)
(.f64 J (+.f64 (/.f64 U J) (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 l l))))
(+.f64 (.f64 l (.f64 (.f64 J (.f64 l l)) (.f64 #s(literal -1/24 binary64) (.f64 K K)))) U)
(+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U)

Outputs
(+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))

Calls

4 calls:

11.0ms	J
9.0ms	l
7.0ms	U
7.0ms	K

Results

Accuracy	Segments	Branch
69.8%	2	`l`
70.8%	3	`U`
67.6%	1	`K`
67.6%	1	`J`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Counts

17 → 4

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))

Outputs
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K)))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
72.4%	4	`l`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes44.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))))
(.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (/.f64 U l)))
(.f64 (.f64 l (.f64 l l)) (.f64 J #s(literal 1/3 binary64)))
(+.f64 (*.f64 l (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) J))) U)
(.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (*.f64 l #s(literal 2 binary64))) U)))
(.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(+.f64 (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) U)
(+.f64 (.f64 J (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)
(+.f64 (.f64 l (.f64 J (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)

Outputs
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))

Calls

4 calls:

27.0ms	K
5.0ms	J
5.0ms	U
5.0ms	l

Results

Accuracy	Segments	Branch
68.4%	3	`J`
63.0%	1	`K`
67.0%	3	`U`
70.2%	3	`l`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
U
(.f64 J (.f64 l #s(literal 2 binary64)))
(*.f64 J (/.f64 U J))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) l)) U)
(+.f64 (/.f64 l (/.f64 #s(literal 1/2 binary64) J)) U)

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

Calls

4 calls:

3.0ms	K
3.0ms	l
3.0ms	U
3.0ms	J

Results

Accuracy	Segments	Branch
53.6%	1	`K`
53.6%	1	`U`
53.6%	1	`J`
53.6%	1	`l`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	U
2.0ms	l
2.0ms	J
2.0ms	K

Results

Accuracy	Segments	Branch
46.4%	3	`l`
41.7%	3	`U`
42.2%	2	`J`
37.3%	1	`K`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
U

Outputs
U

Calls

3 calls:

2.0ms	J
1.0ms	l
1.0ms	U

Results

Accuracy	Segments	Branch
37.3%	1	`U`
37.3%	1	`J`
37.3%	1	`l`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.936430721302786e-7	0.0007461151894602256

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.936430721302786e-7	0.0007461151894602256

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.936430721302786e-7	0.0007461151894602256

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.936430721302786e-7	0.0007461151894602256

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.04976861031823373	-0.03392429754282193

Compiler

Compiled 26 to 20 computations (23.1% saved)

bsearch45.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
21.0ms	-121297494953.49765	-105750887.47650217
19.0ms	-6.801448224413752e+219	-1.1464330008629033e+218

Results

32.0ms

208×

valid

Compiler

Compiled 752 to 516 computations (31.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-cos: 5.0ms (30.8% of total)

ival-exp: 4.0ms (24.6% of total)

ival-mult: 3.0ms (18.5% of total)

ival-div: 1.0ms (6.2% of total)

ival-add: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
42.0ms	2.881699389233276e+134	8.429720270071683e+140

Results

24.0ms	54×	1	valid
11.0ms	90×	0	valid

Compiler

Compiled 530 to 371 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-exp: 12.0ms (46% of total)

ival-cos: 5.0ms (19.2% of total)

ival-mult: 3.0ms (11.5% of total)

ival-sub: 1.0ms (3.8% of total)

ival-div: 1.0ms (3.8% of total)

ival-neg: 1.0ms (3.8% of total)

backward-pass: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

const: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
24.0ms	-121297494953.49765	-105750887.47650217
7.0ms	-6.801448224413752e+219	-1.1464330008629033e+218

Results

24.0ms

176×

valid

Compiler

Compiled 584 to 403 computations (31% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-exp: 6.0ms (35.9% of total)

ival-cos: 4.0ms (24% of total)

ival-mult: 2.0ms (12% of total)

ival-div: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

ival-sub: 1.0ms (6% of total)

ival-neg: 1.0ms (6% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch75.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
73.0ms	2.881699389233276e+134	8.429720270071683e+140

Results

55.0ms	47×	1	valid
11.0ms	97×	0	valid

Compiler

Compiled 494 to 353 computations (28.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-exp: 45.0ms (77% of total)

ival-cos: 5.0ms (8.6% of total)

ival-mult: 2.0ms (3.4% of total)

ival-sub: 1.0ms (1.7% of total)

ival-div: 1.0ms (1.7% of total)

ival-neg: 1.0ms (1.7% of total)

backward-pass: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

const: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.881699389233276e+134	8.429720270071683e+140

Results

24.0ms	48×	1	valid
11.0ms	96×	0	valid

Compiler

Compiled 476 to 344 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-exp: 12.0ms (44.7% of total)

ival-cos: 5.0ms (18.6% of total)

backward-pass: 3.0ms (11.2% of total)

ival-mult: 2.0ms (7.4% of total)

ival-sub: 1.0ms (3.7% of total)

ival-div: 1.0ms (3.7% of total)

ival-neg: 1.0ms (3.7% of total)

ival-add: 1.0ms (3.7% of total)

const: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	6.909486591574225e+142	1.4086318913720965e+143

Results

10.0ms	24×	1	valid
7.0ms	56×	0	valid

Compiler

Compiled 246 to 175 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-exp: 5.0ms (39% of total)

ival-cos: 3.0ms (23.4% of total)

ival-mult: 2.0ms (15.6% of total)

ival-sub: 1.0ms (7.8% of total)

ival-div: 1.0ms (7.8% of total)

backward-pass: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

const: 0.0ms (0% of total)

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

bsearch77.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
50.0ms	9.816752269832748e-5	18239883.850545418
23.0ms	-9.222420282113958e+25	-2019569044607862300.0

Results

62.0ms

304×

valid

Compiler

Compiled 710 to 514 computations (27.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-cos: 31.0ms (65.3% of total)

ival-exp: 5.0ms (10.5% of total)

ival-mult: 4.0ms (8.4% of total)

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

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

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch19.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	6.909486591574225e+142	1.4086318913720965e+143

Results

8.0ms	18×	1	valid
7.0ms	62×	0	valid

Compiler

Compiled 226 to 165 computations (27% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-exp: 4.0ms (40% of total)

ival-cos: 2.0ms (20% of total)

ival-sub: 1.0ms (10% of total)

ival-div: 1.0ms (10% of total)

ival-mult: 1.0ms (10% of total)

const: 0.0ms (0% of total)

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

backward-pass: 0.0ms (0% of total)

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

bsearch35.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
26.0ms	9.816752269832748e-5	18239883.850545418

Results

20.0ms

160×

valid

Compiler

Compiled 346 to 250 computations (27.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-cos: 4.0ms (30.8% of total)

ival-exp: 3.0ms (23.1% of total)

ival-mult: 2.0ms (15.4% of total)

ival-div: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

ival-sub: 1.0ms (7.7% of total)

ival-neg: 1.0ms (7.7% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch140.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
36.0ms	9.816752269832748e-5	18239883.850545418
51.0ms	-407.433352609591	-3.6212164975985335e-8
47.0ms	-3.2501538489270082e+72	-3.320497860239248e+67

Results

117.0ms

464×

valid

Compiler

Compiled 874 to 618 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-add: 12.0ms (26% of total)

ival-cos: 10.0ms (21.7% of total)

ival-exp: 9.0ms (19.5% of total)

ival-mult: 7.0ms (15.2% of total)

ival-div: 3.0ms (6.5% of total)

ival-sub: 3.0ms (6.5% of total)

ival-neg: 2.0ms (4.3% of total)

const: 1.0ms (2.2% of total)

backward-pass: 0.0ms (0% of total)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
28.0ms	9.816752269832748e-5	18239883.850545418
27.0ms	-1.8182005600448677e+56	-3.3345766486081786e+52

Results

45.0ms

288×

valid

Compiler

Compiled 494 to 362 computations (26.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 10.0ms (31.7% of total)

ival-cos: 7.0ms (22.2% of total)

ival-exp: 5.0ms (15.8% of total)

ival-mult: 4.0ms (12.7% of total)

ival-sub: 2.0ms (6.3% of total)

ival-neg: 2.0ms (6.3% of total)

ival-add: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	9.816752269832748e-5	18239883.850545418
21.0ms	-1.8182005600448677e+56	-3.3345766486081786e+52

Results

36.0ms

288×

valid

Compiler

Compiled 314 to 254 computations (19.1% saved)

Precisions

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

ival-cos: 6.0ms (26.2% of total)

ival-exp: 5.0ms (21.8% of total)

ival-mult: 5.0ms (21.8% of total)

ival-div: 2.0ms (8.7% of total)

ival-sub: 2.0ms (8.7% of total)

ival-add: 1.0ms (4.4% of total)

ival-neg: 1.0ms (4.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify20.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

126×	`*-commutative_binary64`
64×	`+-commutative_binary64`
6×	`if-if-or-not_binary32`
2×	`*-lft-identity_binary64`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	702
1	291	702

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U))) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(if (<=.f64 l #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal -106000000 binary64)) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K)))) U) (+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (*.f64 l #s(literal 1/2520 binary64))))))))) U)))
(if (<=.f64 J #s(literal 800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192 binary64)) (+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U) (+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U))
(if (<=.f64 l #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal -250000000 binary64)) (.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U))) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)))
(if (<=.f64 J #s(literal 819999999999999976689827613089145864423786893924282563361341104246799880023697715491240944855074195686458600504782748757559648418278192185344 binary64)) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U) (+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U))
(if (<=.f64 J #s(literal 20500000000000001003780015423825284095191411626757559672204766720444923283749551545854922588524084872615570067936252353157900070513014734848 binary64)) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U) (+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U))
(if (<=.f64 J #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U) (+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U))
(if (<=.f64 l #s(literal -6200000000000000000 binary64)) (.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)))) (if (<=.f64 l #s(literal 1200 binary64)) (+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) (.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))) U))))))
(if (<=.f64 J #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) #s(literal 1/6 binary64)))))) U) (+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal -1/4 binary64)))) U))
(if (<=.f64 l #s(literal 950 binary64)) (+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(if (<=.f64 l #s(literal -769999999999999979224428970483068129224596937912362724812065710538752 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal -400 binary64)) (.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K))) (if (<=.f64 l #s(literal 60000 binary64)) (+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))))))
(if (<=.f64 l #s(literal -33999999999999999769512254928295351199698087026098176 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal 5200 binary64)) (+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(if (<=.f64 l #s(literal -33999999999999999769512254928295351199698087026098176 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) (if (<=.f64 l #s(literal 950 binary64)) U (.f64 J (.f64 l #s(literal 2 binary64)))))
U

Outputs
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U)
(+.f64 (.f64 (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (sinh.f64 l)) (*.f64 #s(literal 2 binary64) J)) U)
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (.f64 l l) #s(literal 1/2520 binary64)))))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J))) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/60 binary64) (.f64 (*.f64 l l) #s(literal 1/2520 binary64)))))))))))))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J))) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))))))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J))) (+.f64 U (.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (*.f64 l l) #s(literal 1/3 binary64))))))))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (.f64 J #s(literal 2 binary64))) U) (+.f64 (.f64 l (.f64 (cos.f64 (.f64 #s(literal 1/2 binary64) K)) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U))
(if (<=.f64 (/.f64 K #s(literal 2 binary64)) #s(literal 4722366482869645/9444732965739290427392 binary64)) (+.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J))) (+.f64 U (.f64 l (.f64 (cos.f64 (.f64 K #s(literal 1/2 binary64))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal 1/3 binary64))))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U))) (+.f64 (.f64 (.f64 #s(literal 1 binary64) (sinh.f64 l)) (*.f64 J #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -5764607523034235/144115188075855872 binary64)) (.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U))) (+.f64 U (.f64 (sinh.f64 l) (.f64 #s(literal 2 binary64) J))))
(+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))) U)
(+.f64 U (/.f64 J (/.f64 #s(literal 1/2 binary64) (sinh.f64 l))))
(if (<=.f64 l #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal -106000000 binary64)) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K)))) U) (+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (*.f64 l #s(literal 1/2520 binary64))))))))) U)))
(if (<=.f64 l #s(literal -5999999999999999476977801430825200540894705094051628363603427483345577599455713984458677455981582032460973104328651704605879269431738148646516965894311960630125110144715242247897217557812256754717096139799845271511236608 binary64)) (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/3 binary64)))) (if (<=.f64 l #s(literal -106000000 binary64)) (+.f64 U (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) (+.f64 U (.f64 (.f64 l J) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (*.f64 l #s(literal 1/2520 binary64))))))))))))
(if (<=.f64 J #s(literal 800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192 binary64)) (+.f64 (.f64 (.f64 J l) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64))))))))) U) (+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U))
(if (<=.f64 J #s(literal 800000000000000047427040992651896029650899910136362630918800595863996622627791845216186372064144996553214337898347063585837577308116659208192 binary64)) (+.f64 U (.f64 (.f64 l J) (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/60 binary64) (.f64 l (.f64 l #s(literal 1/2520 binary64)))))))))) (+.f64 U (.f64 l (.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))
(if (<=.f64 l #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal -250000000 binary64)) (.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U))) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (*.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U)))
(if (<=.f64 l #s(literal -499999999999999982542194442741259708796427565313046921085521797595416593199525768658598408353399812648610739008092760363837084319972425144424811177737061172738273196287749844990774174009031639561114205492093752612749312 binary64)) (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/3 binary64)))) (if (<=.f64 l #s(literal -250000000 binary64)) (.f64 U (+.f64 #s(literal 1 binary64) (/.f64 (.f64 J (.f64 (.f64 l (.f64 l (.f64 l #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))))) U))) (+.f64 U (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))))))
(if (<=.f64 J #s(literal 819999999999999976689827613089145864423786893924282563361341104246799880023697715491240944855074195686458600504782748757559648418278192185344 binary64)) (+.f64 (.f64 (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64))))))) #s(literal 1 binary64)) U) (+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l)))))) U))
(if (<=.f64 J #s(literal 819999999999999976689827613089145864423786893924282563361341104246799880023697715491240944855074195686458600504782748757559648418278192185344 binary64)) (+.f64 U (.f64 J (.f64 l (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) (+.f64 U (.f64 l (.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))
(if (<=.f64 J #s(literal 20500000000000001003780015423825284095191411626757559672204766720444923283749551545854922588524084872615570067936252353157900070513014734848 binary64)) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U) (+.f64 (.f64 l (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (.f64 K K))) (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 l l)))))) U))
(if (<=.f64 J #s(literal 20500000000000001003780015423825284095191411626757559672204766720444923283749551545854922588524084872615570067936252353157900070513014734848 binary64)) (+.f64 U (.f64 (.f64 l J) (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) (+.f64 U (.f64 l (.f64 (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/8 binary64) (*.f64 K K)))))))
(if (<=.f64 J #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))) (.f64 J l)) U) (+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64)))) U))
(if (<=.f64 J #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (+.f64 U (.f64 (.f64 l J) (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l (+.f64 #s(literal 1/3 binary64) (.f64 (.f64 l l) #s(literal 1/60 binary64)))))))) (+.f64 U (.f64 l (+.f64 (.f64 #s(literal 2 binary64) J) (.f64 (.f64 J (*.f64 K K)) #s(literal -1/4 binary64))))))
(if (<=.f64 l #s(literal -6200000000000000000 binary64)) (.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)))) (if (<=.f64 l #s(literal 1200 binary64)) (+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) (.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))) U))))))
(if (<=.f64 l #s(literal -6200000000000000000 binary64)) (.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))) U)))) (if (<=.f64 l #s(literal 1200 binary64)) (+.f64 U (.f64 l (.f64 #s(literal 2 binary64) J))) (.f64 J (.f64 U (+.f64 (/.f64 #s(literal 1 binary64) J) (/.f64 (.f64 l (+.f64 #s(literal 2 binary64) (.f64 l (.f64 l #s(literal 1/3 binary64))))) U))))))
(if (<=.f64 J #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (+.f64 (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) #s(literal 1/6 binary64)))))) U) (+.f64 (.f64 l (+.f64 (.f64 J #s(literal 2 binary64)) (.f64 (.f64 J (.f64 K K)) #s(literal -1/4 binary64)))) U))
(if (<=.f64 J #s(literal 139999999999999998992064133147381531945939947172447219626852168139119841432008535449199074503961625178148426141019525473437310716591530437509120 binary64)) (+.f64 U (/.f64 J (/.f64 #s(literal 1/2 binary64) (.f64 l (+.f64 #s(literal 1 binary64) (.f64 (.f64 l l) #s(literal 1/6 binary64))))))) (+.f64 U (.f64 l (+.f64 (.f64 #s(literal 2 binary64) J) (.f64 (.f64 J (.f64 K K)) #s(literal -1/4 binary64))))))
(if (<=.f64 l #s(literal 950 binary64)) (+.f64 (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 l l))))) U) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))))
(if (<=.f64 l #s(literal 950 binary64)) (+.f64 U (.f64 l (.f64 J (+.f64 #s(literal 2 binary64) (.f64 (.f64 l l) #s(literal 1/3 binary64)))))) (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/3 binary64)))))
(if (<=.f64 l #s(literal -769999999999999979224428970483068129224596937912362724812065710538752 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal -400 binary64)) (.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 K K))) (if (<=.f64 l #s(literal 60000 binary64)) (+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))))))
(if (<=.f64 l #s(literal -769999999999999979224428970483068129224596937912362724812065710538752 binary64)) (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/3 binary64)))) (if (<=.f64 l #s(literal -400 binary64)) (.f64 (.f64 l (.f64 J (.f64 l l))) (.f64 (.f64 K K) #s(literal -1/24 binary64))) (if (<=.f64 l #s(literal 60000 binary64)) (+.f64 U (.f64 l (.f64 #s(literal 2 binary64) J))) (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/3 binary64)))))))
(if (<=.f64 l #s(literal -33999999999999999769512254928295351199698087026098176 binary64)) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l)))) (if (<=.f64 l #s(literal 5200 binary64)) (+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U) (.f64 J (.f64 l (.f64 #s(literal 1/3 binary64) (.f64 l l))))))
(if (<=.f64 l #s(literal -33999999999999999769512254928295351199698087026098176 binary64)) (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/3 binary64)))) (if (<=.f64 l #s(literal 5200 binary64)) (+.f64 U (.f64 l (.f64 #s(literal 2 binary64) J))) (.f64 J (.f64 l (.f64 (.f64 l l) #s(literal 1/3 binary64))))))
(+.f64 (.f64 l (.f64 J #s(literal 2 binary64))) U)
(+.f64 U (.f64 l (.f64 #s(literal 2 binary64) J)))
(if (<=.f64 l #s(literal -33999999999999999769512254928295351199698087026098176 binary64)) (.f64 J (.f64 l #s(literal 2 binary64))) (if (<=.f64 l #s(literal 950 binary64)) U (.f64 J (.f64 l #s(literal 2 binary64)))))
(if (<=.f64 l #s(literal -33999999999999999769512254928295351199698087026098176 binary64)) (.f64 J (.f64 #s(literal 2 binary64) l)) (if (<=.f64 l #s(literal 950 binary64)) U (.f64 J (.f64 #s(literal 2 binary64) l))))
U

soundness2.5s (16.6%)

Rules

6812×	`-lowering-.f32`
6812×	`-lowering-.f64`
6386×	`-lowering-.f32`
6386×	`-lowering-.f64`
6196×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	145	1729
1	479	1642
2	1781	1539
3	4272	1539
0	9448	1539
0	14	37
1	39	37
2	103	37
3	342	37
4	1464	37
5	6572	37
0	8154	37
0	284	5934
1	964	5219
2	3693	5084
0	8203	5084
0	518	11443
1	1898	9553
0	8027	9553
0	434	13353
1	1605	10795
2	7243	10777
0	8101	10777

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×	node limit

Compiler

Compiled 2221 to 1245 computations (43.9% saved)

preprocess112.0ms (0.7%)

Remove: (abs K)
Compiler: Compiled 1646 to 484 computations (70.6% saved)

analyze0.0ms (0%)

sample2.1s (13.8%)

preprocess189.0ms (1.2%)

explain283.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify123.0ms (0.8%)

localize138.0ms (0.9%)

series20.0ms (0.1%)

rewrite308.0ms (2%)

simplify302.0ms (2%)

eval93.0ms (0.6%)

prune153.0ms (1%)

simplify240.0ms (1.6%)

localize291.0ms (1.9%)

series120.0ms (0.8%)

rewrite353.0ms (2.3%)

simplify343.0ms (2.2%)

eval276.0ms (1.8%)

prune181.0ms (1.2%)

simplify179.0ms (1.2%)

localize1.1s (7.2%)

series171.0ms (1.1%)

rewrite574.0ms (3.7%)

simplify426.0ms (2.8%)

eval561.0ms (3.6%)

prune195.0ms (1.3%)

simplify253.0ms (1.6%)

localize654.0ms (4.2%)

series48.0ms (0.3%)

rewrite275.0ms (1.8%)

simplify337.0ms (2.2%)

eval263.0ms (1.7%)

prune230.0ms (1.5%)

regimes242.0ms (1.6%)

regimes134.0ms (0.9%)

regimes71.0ms (0.5%)

regimes64.0ms (0.4%)

regimes133.0ms (0.9%)

regimes101.0ms (0.7%)

regimes69.0ms (0.4%)

regimes66.0ms (0.4%)

regimes37.0ms (0.2%)

regimes56.0ms (0.4%)

regimes28.0ms (0.2%)

regimes53.0ms (0.3%)

regimes13.0ms (0.1%)

regimes49.0ms (0.3%)

regimes32.0ms (0.2%)

regimes36.0ms (0.2%)

regimes7.0ms (0%)

regimes44.0ms (0.3%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch45.0ms (0.3%)

bsearch44.0ms (0.3%)

bsearch34.0ms (0.2%)

bsearch75.0ms (0.5%)

bsearch44.0ms (0.3%)

bsearch25.0ms (0.2%)

bsearch77.0ms (0.5%)

bsearch19.0ms (0.1%)

bsearch35.0ms (0.2%)

bsearch140.0ms (0.9%)

bsearch59.0ms (0.4%)

bsearch51.0ms (0.3%)

simplify20.0ms (0.1%)

soundness2.5s (16.6%)

preprocess112.0ms (0.7%)

end0.0ms (0%)

Profiling