Metrics for Toniolo and Linder, Equation (10-)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze1.6s (9.5%)

Memory

-219.9MiB live, 1 408.2MiB allocated; 1.4s collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
0%	0%	99.9%	0.1%	0%	0%	0%	7
0%	0%	99.9%	0.1%	0%	0%	0%	8
0%	0%	99.9%	0.1%	0%	0%	0%	9
2%	2%	97.9%	0.1%	0%	0%	0%	10
2.9%	2.9%	96.9%	0.1%	0%	0%	0%	11
3.8%	3.8%	96.1%	0.1%	0%	0%	0%	12

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample3.0s (17.1%)

Memory

77.9MiB live, 4 114.1MiB allocated; 542ms collecting garbage

Samples

889.0ms	4 305×	0	valid
701.0ms	1 604×	2	valid
540.0ms	1 268×	3	valid
353.0ms	1 070×	1	valid
4.0ms	9×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 2.1s

adjust: 438.0ms (21.2% of total)

ival-div: 333.0ms (16.1% of total)

ival-mult: 316.0ms (15.3% of total)

ival-sin: 246.0ms (11.9% of total)

ival-tan: 178.0ms (8.6% of total)

ival-pow: 176.0ms (8.5% of total)

ival-pow2: 154.0ms (7.5% of total)

ival-sub: 120.0ms (5.8% of total)

ival-add: 86.0ms (4.2% of total)

exact: 15.0ms (0.7% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain355.0ms (2%)

Memory

-60.8MiB live, 424.8MiB allocated; 85ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
98	-	0	-	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
70	-	1	(-1.163049510644225e-58 4.2612894323674595e-159 -2.1889390671133497e-179)	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`
58	-	0	-	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`
8	-	0	-	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`
4	-	0	-	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
3	-	0	-	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`
0	-	0	-	`k`
0	-	0	-	`(/.f64 k t)`
0	-	0	-	`t`
0	-	0	-	`#s(literal 1 binary64)`
0	-	0	-	`#s(literal 3 binary64)`
0	-	0	-	`(tan.f64 k)`
0	-	0	-	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`
0	-	0	-	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`
0	-	0	-	`(*.f64 l l)`
0	-	0	-	`(sin.f64 k)`
0	-	0	-	`(pow.f64 t #s(literal 3 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`l`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	cancellation	58	0
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*uo**	51	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	underflow	83
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	underflow	107
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	underflow	92
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	76
↳	`(*.f64 l l)`	underflow	54
↳	`(/.f64 k t)`	overflow	35
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	79
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	79
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	79
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*ou**	29	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	82
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	71
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	79
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	94
↳	`(*.f64 l l)`	overflow	71
↳	`(/.f64 k t)`	underflow	28
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	underflow	69
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	underflow	69
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/o	28	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	94
↳	`(*.f64 l l)`	overflow	71
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/u	21	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	76
↳	`(*.f64 l l)`	underflow	54
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*no**	10	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/o	9	0
↳	`(*.f64 l l)`	overflow	71
`*.f64`	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	*no**	8	0
`*.f64`	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	*nu**	8	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/n	4	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	94
`/.f64`	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`	n/o	4	0
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	71
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	79
↳	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`	overflow	65
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	79
↳	`(/.f64 k t)`	overflow	35
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	82
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	94
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	79
↳	`(*.f64 l l)`	overflow	71
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	79
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/n	4	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	76
`*.f64`	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	*no**	3	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/u	3	0
↳	`(*.f64 l l)`	underflow	54

Confusion

	Predicted +	Predicted -
+	176	0
-	28	52

Precision

0.8627450980392157

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	176	0	0
-	28	0	52

Precision?

0.8627450980392157

Recall?

1.0

Freqs

test

number	freq
0	52
1	168
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

70.0ms	80×	3	valid
63.0ms	260×	0	valid
38.0ms	102×	2	valid
20.0ms	68×	1	valid
1.0ms	2×	4	valid

Compiler

Compiled 265 to 61 computations (77% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-tan: 25.0ms (20.5% of total)

adjust: 24.0ms (19.6% of total)

ival-div: 18.0ms (14.7% of total)

ival-mult: 14.0ms (11.5% of total)

ival-pow2: 10.0ms (8.2% of total)

ival-sin: 10.0ms (8.2% of total)

ival-pow: 9.0ms (7.4% of total)

ival-sub: 5.0ms (4.1% of total)

ival-add: 5.0ms (4.1% of total)

exact: 1.0ms (0.8% of total)

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

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

preprocess146.0ms (0.8%)

Memory

-21.1MiB live, 75.0MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	256
1	250	230
2	1176	210
3	7995	210
0	19	25
0	32	25
1	62	23
2	207	21
3	1441	21
0	8763	17

Stop Event

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

Calls

Call 1

Inputs

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

(/.f64 (/.f64 #s(literal 2 binary64) (ratio-of-squares.f64 k t)) (*.f64 (tan.f64 k) (*.f64 (ratio-of-squares.f64 t l) (*.f64 (sin.f64 k) t))))

Symmetry

(abs l)

(abs k)

(negabs t)

Compiler

Compiled 25 to 19 computations (24% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	31.7%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Status

Accuracy

Program

▶

31.7%

(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Compiler

Compiled 25 to 19 computations (24% saved)

series59.0ms (0.3%)

Memory

-0.2MiB live, 46.1MiB allocated; 3ms collecting garbage

Counts

19 → 44

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(*.f64 l l)
l
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)

Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx t #s(hole binary64 t))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx k #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	k	@	inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
8.0ms	t	@	0	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
8.0ms	k	@	0	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
7.0ms	t	@	-inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))
6.0ms	k	@	-inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (* (/ (pow t 3) (* l l)) (sin k)) (/ (pow t 3) (* l l)) (pow t 3) t 3 (* l l) l (sin k) k (tan k) (- (+ 1 (pow (/ k t) 2)) 1) (+ 1 (pow (/ k t) 2)) 1 (pow (/ k t) 2) (/ k t))

rewrite150.0ms (0.9%)

Memory

19.0MiB live, 158.5MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	1361
0	261	1320
1	1367	1264
0	8110	1126

Stop Event

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

Counts

63 → 225

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
#s(literal 2 binary64)
(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
t
#s(literal 3 binary64)
(*.f64 l l)
l
(sin.f64 k)
k
(tan.f64 k)
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 k t)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* (pow t 3) (sin k)) (pow l 2))))
#s(approx (/ (pow t 3) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3) #s(hole binary64 (pow t 3)))
#s(approx t #s(hole binary64 t))
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (pow (/ k t) 2) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (/ k t) #s(hole binary64 (/ k t)))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 1))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx l #s(hole binary64 l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (/ (* k (pow t 3)) (pow l 2))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* 1/120 (/ (* (pow k 2) (pow t 3)) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) #s(hole binary64 (* k (+ (* (pow k 2) (+ (* -1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* -1/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/120 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx k #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))
#s(approx (+ 1 (pow (/ k t) 2)) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))

Outputs
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k))))) (neg.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(+.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k))))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k))))))
#s(literal 2 binary64)
(.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(.f64 (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (sin.f64 k)) (*.f64 (tan.f64 k) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))
(.f64 (tan.f64 k) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (sin.f64 k)))
(.f64 (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (sin.f64 k)) (tan.f64 k))
(/.f64 (.f64 (neg.f64 (sin.f64 k)) (neg.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (.f64 (neg.f64 (cos.f64 k)) (neg.f64 (.f64 l l))))
(/.f64 (.f64 (neg.f64 (sin.f64 k)) (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (.f64 (neg.f64 (cos.f64 k)) (.f64 l l)))
(/.f64 (.f64 (sin.f64 k) (neg.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (.f64 (cos.f64 k) (neg.f64 (.f64 l l))))
(/.f64 (.f64 (sin.f64 k) (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (.f64 (cos.f64 k) (.f64 l l)))
(/.f64 (.f64 (neg.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (sin.f64 k))) (.f64 (neg.f64 (.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (neg.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (sin.f64 k)) (.f64 (neg.f64 (.f64 l l)) (cos.f64 k)))
(/.f64 (.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (sin.f64 k))) (.f64 (.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (sin.f64 k)) (.f64 (cos.f64 k) (.f64 l l)))
(*.f64 (/.f64 (sin.f64 k) (neg.f64 l)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (sin.f64 k) (fabs.f64 l)) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 l)) (/.f64 (sin.f64 k) (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fabs.f64 l)) (/.f64 (sin.f64 k) (fabs.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) (/.f64 (sin.f64 k) l))
(*.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (sin.f64 k))
(*.f64 (sin.f64 k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (pow.f64 t #s(literal 3 binary64)) (ratio-of-squares.f64 (pow.f64 (sin.f64 k) #s(literal 1/2 binary64)) l))
(/.f64 (neg.f64 (neg.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 l l))))
(/.f64 (neg.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (.f64 l l)))
(/.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3 binary64))) (.f64 l l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 l)))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(.f64 (/.f64 (.f64 t t) (neg.f64 l)) (/.f64 t (neg.f64 l)))
(.f64 (/.f64 t (neg.f64 l)) (/.f64 (.f64 t t) (neg.f64 l)))
(.f64 (/.f64 (.f64 t t) (fabs.f64 l)) (/.f64 t (fabs.f64 l)))
(.f64 (/.f64 t (fabs.f64 l)) (/.f64 (.f64 t t) (fabs.f64 l)))
(.f64 (/.f64 (.f64 t t) l) (/.f64 t l))
(.f64 (/.f64 t l) (/.f64 (.f64 t t) l))
(ratio-of-squares.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (neg.f64 l)))
(ratio-of-squares.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (fabs.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (exp.f64 (log.f64 l)))
(ratio-of-squares.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 l))
(ratio-of-squares.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (fabs.f64 l))
(ratio-of-squares.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) l)
(ratio-of-squares.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (neg.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (fabs.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (exp.f64 (log.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 l))
(ratio-of-squares.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (fabs.f64 l))
(ratio-of-squares.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) l)
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 (neg.f64 l)))
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) (exp.f64 (log.f64 l)))
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 l))
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) (fabs.f64 l))
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
(/.f64 (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l)) (neg.f64 l))
(/.f64 (neg.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (neg.f64 (neg.f64 (*.f64 l l))))
(/.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) l) l)
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (neg.f64 (*.f64 l l)))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(exp.f64 (-.f64 (.f64 (log.f64 t) #s(literal 3 binary64)) (.f64 (log.f64 l) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))
(.f64 (.f64 t t) t)
(.f64 t (.f64 t t))
(pow.f64 (exp.f64 (log.f64 t)) #s(literal 3 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(pow.f64 t #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 t) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 t) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 t) #s(literal 3 binary64))))
t
#s(literal 3 binary64)
(*.f64 (neg.f64 (neg.f64 l)) (neg.f64 (neg.f64 l)))
(*.f64 (neg.f64 (fabs.f64 l)) (neg.f64 (fabs.f64 l)))
(*.f64 (fabs.f64 (fabs.f64 l)) (fabs.f64 (fabs.f64 l)))
(*.f64 (exp.f64 (log.f64 l)) (exp.f64 (log.f64 l)))
(*.f64 (neg.f64 l) (neg.f64 l))
(*.f64 (fabs.f64 l) (fabs.f64 l))
(*.f64 l l)
(pow.f64 (exp.f64 (log.f64 l)) #s(literal 2 binary64))
(pow.f64 (neg.f64 l) #s(literal 2 binary64))
(pow.f64 (fabs.f64 l) #s(literal 2 binary64))
(pow.f64 (*.f64 l l) #s(literal 1 binary64))
(pow.f64 l #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 l #s(literal -2 binary64)))
(fabs.f64 (*.f64 l l))
(exp.f64 (*.f64 (log.f64 l) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 l) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 l) #s(literal 2 binary64))))
l
(*.f64 (pow.f64 (sin.f64 k) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 k) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 k) #s(literal 1 binary64))
(sin.f64 k)
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 1 binary64)))
k
(/.f64 (neg.f64 (neg.f64 (sin.f64 k))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (+.f64 (tan.f64 k) (tan.f64 (PI.f64))) (-.f64 #s(literal 1 binary64) (*.f64 (tan.f64 k) (tan.f64 (PI.f64)))))
(/.f64 (neg.f64 (sin.f64 k)) (neg.f64 (cos.f64 k)))
(/.f64 (sin.f64 k) (cos.f64 k))
(tan.f64 (+.f64 (+.f64 k (PI.f64)) (PI.f64)))
(tan.f64 (+.f64 k (PI.f64)))
(tan.f64 k)
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64))) (.f64 #s(literal 1 binary64) (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 k t) #s(literal 3 binary64))) #s(literal 2 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t)))) #s(literal 2 binary64))) (.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (ratio-square-sum.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))))))
(-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (.f64 t t) (.f64 k k)))) (neg.f64 (neg.f64 (*.f64 t t))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 k t) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t))))))
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 k k)) (.f64 t t)) (.f64 (neg.f64 (.f64 t t)) (.f64 t t))) (.f64 (neg.f64 (.f64 t t)) (*.f64 t t)))
(/.f64 (+.f64 (pow.f64 (*.f64 k t) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 t #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 k k)) #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 t t)) #s(literal 2 binary64))) (.f64 (neg.f64 (.f64 t t)) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 (.f64 k k) #s(literal 2 binary64)) (.f64 (.f64 t t) #s(literal 2 binary64))) (.f64 (.f64 t t) #s(literal 2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (neg.f64 (.f64 t t))) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 k k)))) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 t t))))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 t t)) (.f64 #s(literal 2 binary64) (.f64 k k))) (.f64 #s(literal 2 binary64) (.f64 t t)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (ratio-of-squares.f64 k t) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t)))))
(/.f64 (neg.f64 (+.f64 (.f64 t t) (.f64 k k))) (neg.f64 (*.f64 t t)))
(/.f64 (+.f64 (.f64 t t) (.f64 k k)) (*.f64 t t))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t))) (/.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t))))
(+.f64 (ratio-square-sum.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t)))) (/.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (ratio-of-squares.f64 k t) #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t))))))
(+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (ratio-of-squares.f64 k t))
#s(literal 1 binary64)
(*.f64 (neg.f64 (/.f64 k t)) (neg.f64 (/.f64 k t)))
(*.f64 (fabs.f64 (/.f64 k t)) (fabs.f64 (/.f64 k t)))
(*.f64 (exp.f64 (log.f64 (/.f64 k t))) (exp.f64 (log.f64 (/.f64 k t))))
(*.f64 (/.f64 k t) (/.f64 k t))
(ratio-of-squares.f64 (fabs.f64 k) (fabs.f64 t))
(ratio-of-squares.f64 (fabs.f64 k) (exp.f64 (log.f64 t)))
(ratio-of-squares.f64 (fabs.f64 k) (neg.f64 t))
(ratio-of-squares.f64 (fabs.f64 k) t)
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (fabs.f64 t))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (exp.f64 (log.f64 t)))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (neg.f64 t))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) t)
(ratio-of-squares.f64 (neg.f64 k) (fabs.f64 t))
(ratio-of-squares.f64 (neg.f64 k) (exp.f64 (log.f64 t)))
(ratio-of-squares.f64 (neg.f64 k) (neg.f64 t))
(ratio-of-squares.f64 (neg.f64 k) t)
(ratio-of-squares.f64 k (fabs.f64 t))
(ratio-of-squares.f64 k (exp.f64 (log.f64 t)))
(ratio-of-squares.f64 k (neg.f64 t))
(ratio-of-squares.f64 k t)
(pow.f64 (exp.f64 (log.f64 (/.f64 k t))) #s(literal 2 binary64))
(pow.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 k k))) (neg.f64 (neg.f64 (.f64 t t))))
(/.f64 (.f64 (neg.f64 k) k) (.f64 (neg.f64 t) t))
(/.f64 (.f64 k (neg.f64 k)) (.f64 t (neg.f64 t)))
(/.f64 (neg.f64 (.f64 k k)) (neg.f64 (.f64 t t)))
(/.f64 (.f64 k k) (.f64 t t))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal -2 binary64)))
(exp.f64 (-.f64 (.f64 (log.f64 k) #s(literal 2 binary64)) (.f64 (log.f64 t) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (/.f64 k t)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 k t) #s(literal 1/2 binary64)) (pow.f64 (/.f64 k t) #s(literal 1/2 binary64)))
(pow.f64 (/.f64 k t) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 k) (neg.f64 t))
(/.f64 k t)
(exp.f64 (*.f64 (log.f64 (/.f64 k t)) #s(literal 1 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (*.f64 (ratio-of-squares.f64 (sin.f64 k) l) (/.f64 (pow.f64 t #s(literal 3 binary64)) (cos.f64 k))))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (sin.f64 k)))
#s(approx (/ (pow t 3) (* l l)) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
#s(approx (pow t 3) (pow.f64 t #s(literal 3 binary64)))
#s(approx t t)
#s(approx (- (+ 1 (pow (/ k t) 2)) 1) (ratio-of-squares.f64 k t))
#s(approx (+ 1 (pow (/ k t) 2)) (ratio-of-squares.f64 k t))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)))
#s(approx (pow (/ k t) 2) (ratio-of-squares.f64 k t))
#s(approx (/ k t) (/.f64 k t))
#s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)))
#s(approx (* l l) (*.f64 l l))
#s(approx l l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 (+.f64 (.f64 (/.f64 (.f64 l l) t) #s(literal 151/7560 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64)))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64)))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 31/360 binary64) t) (.f64 #s(literal 173/5040 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (+.f64 (.f64 (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) #s(literal 1/6 binary64)) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (*.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (.f64 (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) #s(literal 31/360 binary64))) (.f64 k k)) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (.f64 k k)))
#s(approx (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 31/360 binary64) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (.f64 (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) #s(literal 173/5040 binary64))) (.f64 k k)) (.f64 #s(literal 1/6 binary64) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (.f64 k k)) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (*.f64 k k)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (*.f64 k (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (.f64 (+.f64 (.f64 (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) #s(literal -1/6 binary64)) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (.f64 #s(literal -1/6 binary64) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (*.f64 k k)) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) k))
#s(approx (* (/ (pow t 3) (* l l)) (sin k)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/120 binary64) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)))) (.f64 k k)) (.f64 #s(literal -1/6 binary64) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (.f64 k k)) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) k))
#s(approx (sin k) k)
#s(approx (sin k) (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (sin k) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (sin k) (.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 k k)) #s(literal 1/120 binary64)) (.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx k k)
#s(approx (tan k) k)
#s(approx (tan k) (.f64 (+.f64 (.f64 #s(literal 1/3 binary64) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (tan k) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 2/15 binary64) (.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (tan k) (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 17/315 binary64) (.f64 k k)) #s(literal 2/15 binary64)) (.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (sin k) (sin.f64 k))
#s(approx (tan k) (tan.f64 k))
#s(approx (+ 1 (pow (/ k t) 2)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 t #s(literal -2 binary64)) (.f64 k k))))

eval614.0ms (3.5%)

Memory

-3.5MiB live, 699.4MiB allocated; 102ms collecting garbage

Samples

392.0ms	9 681×	0	valid
51.0ms	1 325×	0	invalid
0.0ms	2×	1	valid

Compiler

Compiled 7 159 to 1 297 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 203.0ms

ival-mult: 133.0ms (65.5% of total)

ival-div: 56.0ms (27.6% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 4.0ms (2% of total)

adjust: 2.0ms (1% of total)

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

prune267.0ms (1.5%)

Memory

38.8MiB live, 232.1MiB allocated; 10ms collecting garbage

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	219	15	234
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	220	15	235

Accuracy

84.2%

Counts

235 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
▶	43.7%	(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
	43.7%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
	25.8%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
	40.6%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (ratio-of-squares.f64 k t))))
	47.1%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
	39.4%	(/.f64 #s(literal 2 binary64) (.f64 #s(approx ( (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
	67.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
	60.6%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
▶	77.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
▶	60.6%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
▶	46.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))
	26.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
▶	38.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
	76.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))

Samples

165.0ms	4 526×	0	valid
22.0ms	594×	0	invalid

Compiler

Compiled 1 080 to 776 computations (28.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-mult: 61.0ms (66.2% of total)

ival-div: 26.0ms (28.2% of total)

ival-true: 3.0ms (3.3% of total)

ival-assert: 2.0ms (2.2% of total)

adjust: 1.0ms (1.1% of total)

series109.0ms (0.6%)

Memory

5.4MiB live, 97.6MiB allocated; 8ms collecting garbage

Counts

53 → 146

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))
(.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))
(/.f64 (.f64 (.f64 k k) t) (cos.f64 k))
(.f64 (.f64 k k) t)
(*.f64 k k)
k
t
(cos.f64 k)
(ratio-of-squares.f64 (sin.f64 k) l)
(sin.f64 k)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
(.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k)))
(/.f64 #s(literal 2 binary64) t)
(ratio-of-squares.f64 l (*.f64 k k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
(.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))
(+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l)))
(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (*.f64 k k))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (*.f64 l l))
(+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t)))
(*.f64 #s(literal 1/6 binary64) t)
#s(literal 1/6 binary64)
(.f64 #s(literal 31/360 binary64) (.f64 (*.f64 k k) t))
#s(literal 31/360 binary64)
(*.f64 l l)
(/.f64 t (*.f64 l l))
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t)
(+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64))))
(.f64 #s(literal 2 binary64) (.f64 l l))
(.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))
#s(literal -1/3 binary64)
(pow.f64 (*.f64 l k) #s(literal 2 binary64))
(*.f64 l k)
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64))
(ratio-of-squares.f64 k t)
#s(literal 1 binary64)
(.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))
(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
(pow.f64 t #s(literal 3/2 binary64))
#s(literal 3/2 binary64)
(*.f64 (sin.f64 k) (tan.f64 k))
(tan.f64 k)

Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* (* k k) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx t #s(hole binary64 t))
#s(approx (* (/ 2 t) (/ (* l l) (* (* k k) (* k k)))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 t) #s(hole binary64 (/ 2 t)))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 4) (* t (+ (/ 1 (pow l 2)) (/ (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2)))) (pow l 2)))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* t (+ (/ 1 (pow l 2)) (/ (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2)))) (pow l 2))))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (/ (* (pow k 2) (* t (+ 1/6 (* 31/360 (pow k 2))))) (pow l 2))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (/ (* t (+ 1/6 (* 31/360 (pow k 2)))) (pow l 2))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* t (+ 1/6 (* 31/360 (pow k 2))))))
#s(approx (* 1/6 t) #s(hole binary64 (* 1/6 t)))
#s(approx (* 31/360 (* (* k k) t)) #s(hole binary64 (* 31/360 (* (pow k 2) t))))
#s(approx (/ t (* l l)) #s(hole binary64 (/ t (pow l 2))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (- (+ (/ (* k k) (* t t)) 1) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 (/ (+ (pow k 2) (pow t 2)) (pow t 2))))
#s(approx (/ (* k k) (* t t)) #s(hole binary64 (/ (pow k 2) (pow t 2))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3/2) #s(hole binary64 (sqrt (pow t 3))))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* -1 (* (pow k 4) (* t (- (/ (* (pow k 2) (- (* -31/360 (pow k 2)) 1/6)) (pow l 2)) (/ 1 (pow l 2))))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* -1 (* t (- (/ (* (pow k 2) (- (* -31/360 (pow k 2)) 1/6)) (pow l 2)) (/ 1 (pow l 2)))))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* -1 (/ (* (pow k 2) (* t (- (* -31/360 (pow k 2)) 1/6))) (pow l 2)))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* -1 (/ (* t (- (* -31/360 (pow k 2)) 1/6)) (pow l 2)))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* -1 (* t (- (* -31/360 (pow k 2)) 1/6)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (* -2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2))))))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* -1 (/ (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2)))) (* (pow l 2) (cos k))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* -1 (/ (* (pow t 3) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* (pow l 2) (cos k))))))
#s(approx (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) #s(hole binary64 (* -1 (/ (* (pow t 3) (pow (sqrt -1) 2)) (pow l 2)))))
#s(approx (pow t 3/2) #s(hole binary64 (* (sqrt (pow t 3)) (pow (sqrt -1) 2))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ (* l l) (* (* k k) (* k k))) #s(hole binary64 (/ (pow l 2) (pow k 4))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (/ (* (pow k 4) (+ t (* (pow k 2) (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t))))) (pow l 2))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (/ (+ t (* (pow k 2) (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t)))) (pow l 2))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (/ (* (pow k 2) (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t))) (pow l 2))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (/ (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t)) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* (pow l 2) (+ 2 (* -1/3 (pow k 2))))))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* -1/3 (pow (* l k) 2)) #s(hole binary64 (* -1/3 (* (pow k 2) (pow l 2)))))
#s(approx (pow (* l k) 2) #s(hole binary64 (* (pow k 2) (pow l 2))))
#s(approx (* l k) #s(hole binary64 (* k l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (/ t (pow l 2))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2)))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2)))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* 1/6 (/ (* (pow k 2) t) (pow l 2)))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2)))))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* 1/6 (/ t (pow l 2)))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* 1/6 t)))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (pow k 2)))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* 31/360 (/ (* (pow k 8) t) (pow l 2)))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 8) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 8) (+ (* 31/360 (/ t (pow l 2))) (+ (* 1/6 (/ t (* (pow k 2) (pow l 2)))) (/ t (* (pow k 4) (pow l 2))))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* 31/360 (/ (* (pow k 4) t) (pow l 2)))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* (pow k 4) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* (pow k 4) (+ (* 31/360 (/ t (pow l 2))) (+ (* 1/6 (/ t (* (pow k 2) (pow l 2)))) (/ t (* (pow k 4) (pow l 2))))))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* 31/360 (/ (* (pow k 4) t) (pow l 2)))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* (pow k 4) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* 31/360 (/ (* (pow k 2) t) (pow l 2)))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* 31/360 (* (pow k 2) t))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* (pow k 2) (+ (* 31/360 t) (* 1/6 (/ t (pow k 2)))))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (* -1/3 (/ (* (pow k 2) (pow l 2)) t))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* -1/3 (* (pow k 2) (pow l 2)))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	t	@	0	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (* (sin k) (sin k)) (* l l)) (sin k) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 t) (/ (* l l) (* (* k k) (* k k)))) (/ 2 t) (/ (* l l) (* (* k k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* 1/6 t) 1/6 (* 31/360 (* (* k k) t)) 31/360 (* l l) (/ t (* l l)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) (* 2 (* l l)) (* -1/3 (pow (* l k) 2)) -1/3 (pow (* l k) 2) (* l k) (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (- (+ (/ (* k k) (* t t)) 1) 1) (+ (/ (* k k) (* t t)) 1) (/ (* k k) (* t t)) 1 (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (pow t 3/2) 3/2 (* (sin k) (tan k)) (tan k))
14.0ms	t	@	-inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (* (sin k) (sin k)) (* l l)) (sin k) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 t) (/ (* l l) (* (* k k) (* k k)))) (/ 2 t) (/ (* l l) (* (* k k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* 1/6 t) 1/6 (* 31/360 (* (* k k) t)) 31/360 (* l l) (/ t (* l l)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) (* 2 (* l l)) (* -1/3 (pow (* l k) 2)) -1/3 (pow (* l k) 2) (* l k) (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (- (+ (/ (* k k) (* t t)) 1) 1) (+ (/ (* k k) (* t t)) 1) (/ (* k k) (* t t)) 1 (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (pow t 3/2) 3/2 (* (sin k) (tan k)) (tan k))
11.0ms	l	@	inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (* (sin k) (sin k)) (* l l)) (sin k) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 t) (/ (* l l) (* (* k k) (* k k)))) (/ 2 t) (/ (* l l) (* (* k k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* 1/6 t) 1/6 (* 31/360 (* (* k k) t)) 31/360 (* l l) (/ t (* l l)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) (* 2 (* l l)) (* -1/3 (pow (* l k) 2)) -1/3 (pow (* l k) 2) (* l k) (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (- (+ (/ (* k k) (* t t)) 1) 1) (+ (/ (* k k) (* t t)) 1) (/ (* k k) (* t t)) 1 (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (pow t 3/2) 3/2 (* (sin k) (tan k)) (tan k))
10.0ms	k	@	inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (* (sin k) (sin k)) (* l l)) (sin k) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 t) (/ (* l l) (* (* k k) (* k k)))) (/ 2 t) (/ (* l l) (* (* k k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* 1/6 t) 1/6 (* 31/360 (* (* k k) t)) 31/360 (* l l) (/ t (* l l)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) (* 2 (* l l)) (* -1/3 (pow (* l k) 2)) -1/3 (pow (* l k) 2) (* l k) (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (- (+ (/ (* k k) (* t t)) 1) 1) (+ (/ (* k k) (* t t)) 1) (/ (* k k) (* t t)) 1 (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (pow t 3/2) 3/2 (* (sin k) (tan k)) (tan k))
10.0ms	l	@	0	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* (* k k) t) (cos k)) (* (* k k) t) (* k k) k t (cos k) (/ (* (sin k) (sin k)) (* l l)) (sin k) l (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (/ 2 t) (/ (* l l) (* (* k k) (* k k)))) (/ 2 t) (/ (* l l) (* (* k k) (* k k))) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* 1/6 t) 1/6 (* 31/360 (* (* k k) t)) 31/360 (* l l) (/ t (* l l)) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) (* 2 (* l l)) (* -1/3 (pow (* l k) 2)) -1/3 (pow (* l k) 2) (* l k) (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (- (+ (/ (* k k) (* t t)) 1) 1) (+ (/ (* k k) (* t t)) 1) (/ (* k k) (* t t)) 1 (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (pow t 3/2) 3/2 (* (sin k) (tan k)) (tan k))

rewrite122.0ms (0.7%)

Memory

-21.5MiB live, 77.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	601	5254
0	675	4512
0	3158	4460

Stop Event

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

Counts

199 → 417

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))
(.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))
(/.f64 (.f64 (.f64 k k) t) (cos.f64 k))
(.f64 (.f64 k k) t)
(*.f64 k k)
k
t
(cos.f64 k)
(ratio-of-squares.f64 (sin.f64 k) l)
(sin.f64 k)
l
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
(.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k)))
(/.f64 #s(literal 2 binary64) t)
(ratio-of-squares.f64 l (*.f64 k k))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
(.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))
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(.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (*.f64 k k))
(/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (*.f64 l l))
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(/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t)
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(.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k))))
(-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64))
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(ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
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#s(literal 3/2 binary64)
(*.f64 (sin.f64 k) (tan.f64 k))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
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#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* t (+ (/ 1 (pow l 2)) (/ (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2)))) (pow l 2))))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (/ (* (pow k 2) (* t (+ 1/6 (* 31/360 (pow k 2))))) (pow l 2))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (/ (* t (+ 1/6 (* 31/360 (pow k 2)))) (pow l 2))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* t (+ 1/6 (* 31/360 (pow k 2))))))
#s(approx (* 1/6 t) #s(hole binary64 (* 1/6 t)))
#s(approx (* 31/360 (* (* k k) t)) #s(hole binary64 (* 31/360 (* (pow k 2) t))))
#s(approx (/ t (* l l)) #s(hole binary64 (/ t (pow l 2))))
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#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) t)))
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#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (/ (* (pow t 3) (pow (sin k) 2)) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) #s(hole binary64 (/ (pow t 3) (pow l 2))))
#s(approx (pow t 3/2) #s(hole binary64 (sqrt (pow t 3))))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 1))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 (+ 1 (/ (pow k 2) (pow t 2)))))
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#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* -1 (* t (- (/ (* (pow k 2) (- (* -31/360 (pow k 2)) 1/6)) (pow l 2)) (/ 1 (pow l 2)))))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* -1 (/ (* (pow k 2) (* t (- (* -31/360 (pow k 2)) 1/6))) (pow l 2)))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* -1 (/ (* t (- (* -31/360 (pow k 2)) 1/6)) (pow l 2)))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* -1 (* t (- (* -31/360 (pow k 2)) 1/6)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (* -2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2))))))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* -1 (/ (* (pow k 2) (* t (* (pow (sin k) 2) (pow (sqrt -1) 2)))) (* (pow l 2) (cos k))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* -1 (/ (* (pow t 3) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* (pow l 2) (cos k))))))
#s(approx (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) #s(hole binary64 (* -1 (/ (* (pow t 3) (pow (sqrt -1) 2)) (pow l 2)))))
#s(approx (pow t 3/2) #s(hole binary64 (* (sqrt (pow t 3)) (pow (sqrt -1) 2))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ (* l l) (* (* k k) (* k k))) #s(hole binary64 (/ (pow l 2) (pow k 4))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (/ (* (pow k 4) (+ t (* (pow k 2) (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t))))) (pow l 2))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (/ (+ t (* (pow k 2) (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t)))) (pow l 2))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (/ (* (pow k 2) (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t))) (pow l 2))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (/ (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t)) (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) t)))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* (pow l 2) (+ 2 (* -1/3 (pow k 2))))))
#s(approx (* 2 (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* -1/3 (pow (* l k) 2)) #s(hole binary64 (* -1/3 (* (pow k 2) (pow l 2)))))
#s(approx (pow (* l k) 2) #s(hole binary64 (* (pow k 2) (pow l 2))))
#s(approx (* l k) #s(hole binary64 (* k l)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (* k k) t) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (* k k) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx k #s(hole binary64 k))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (/ t (pow l 2))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2)))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2)))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* 1/6 (/ (* (pow k 2) t) (pow l 2)))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2)))))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* 1/6 (/ t (pow l 2)))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* 1/6 t)))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (+ (* 31/360 (* (pow k 2) t)) (* 1/6 t))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (* 2 (/ (pow l 2) t))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t)))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (/ (* (pow k 2) (pow t 3)) (pow l 2))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* (pow k 2) (+ (* 1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 1/6 (/ (pow t 3) (pow l 2))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (+ (* 1/6 (/ (pow t 3) (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (* 31/360 (/ (pow t 3) (pow l 2))))))) (/ (pow t 3) (pow l 2))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (pow k 2)))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (tan k) #s(hole binary64 k))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* 1/3 (pow k 2))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* 2/15 (pow k 2))))))))
#s(approx (tan k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (+ 1/3 (* (pow k 2) (+ 2/15 (* 17/315 (pow k 2))))))))))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* 31/360 (/ (* (pow k 8) t) (pow l 2)))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 8) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) #s(hole binary64 (* (pow k 8) (+ (* 31/360 (/ t (pow l 2))) (+ (* 1/6 (/ t (* (pow k 2) (pow l 2)))) (/ t (* (pow k 4) (pow l 2))))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* 31/360 (/ (* (pow k 4) t) (pow l 2)))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* (pow k 4) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) #s(hole binary64 (* (pow k 4) (+ (* 31/360 (/ t (pow l 2))) (+ (* 1/6 (/ t (* (pow k 2) (pow l 2)))) (/ t (* (pow k 4) (pow l 2))))))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* 31/360 (/ (* (pow k 4) t) (pow l 2)))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) #s(hole binary64 (* (pow k 4) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* 31/360 (/ (* (pow k 2) t) (pow l 2)))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* 31/360 (/ t (pow l 2))) (* 1/6 (/ t (* (pow k 2) (pow l 2))))))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* 31/360 (* (pow k 2) t))))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) #s(hole binary64 (* (pow k 2) (+ (* 31/360 t) (* 1/6 (/ t (pow k 2)))))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (* -1/3 (/ (* (pow k 2) (pow l 2)) t))))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* -1/3 (* (pow k 2) (pow l 2)))))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))))
#s(approx (+ (/ (* k k) (* t t)) 1) #s(hole binary64 (* (pow k 2) (+ (/ 1 (pow k 2)) (/ 1 (pow t 2))))))
#s(approx (* (sin k) (tan k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (tan k) #s(hole binary64 (/ (sin k) (cos k))))

Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (.f64 (ratio-of-squares.f64 (sin.f64 k) l) (.f64 (*.f64 k k) (/.f64 t (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (.f64 (ratio-of-squares.f64 (sin.f64 k) l) (.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))))
#s(literal 2 binary64)
#s(approx (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k)))) (.f64 (ratio-of-squares.f64 (sin.f64 k) l) (.f64 (*.f64 k k) (/.f64 t (cos.f64 k)))))
(.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
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#s(approx (tan k) k)
#s(approx (tan k) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (*.f64 k k) #s(literal -1/3 binary64))) k))
#s(approx (tan k) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 2/15 binary64) (.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (tan k) (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 17/315 binary64) (.f64 k k)) #s(literal 2/15 binary64)) (.f64 k k)) #s(literal 1/3 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (cos k) (cos.f64 k))
#s(approx (sin k) (sin.f64 k))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (/.f64 (.f64 #s(literal 31/360 binary64) (.f64 (pow.f64 k #s(literal 8 binary64)) t)) (*.f64 l l)))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (.f64 (-.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 31/360 binary64)) (.f64 #s(literal -1/6 binary64) (/.f64 t (pow.f64 (*.f64 k l) #s(literal 2 binary64))))) (pow.f64 k #s(literal 8 binary64))))
#s(approx (* (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (pow k 4)) (.f64 (+.f64 (+.f64 (/.f64 (/.f64 t (pow.f64 k #s(literal 4 binary64))) (.f64 l l)) (.f64 (/.f64 t (pow.f64 (.f64 k l) #s(literal 2 binary64))) #s(literal 1/6 binary64))) (.f64 (/.f64 t (.f64 l l)) #s(literal 31/360 binary64))) (pow.f64 k #s(literal 8 binary64))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (/.f64 (.f64 #s(literal 31/360 binary64) (.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 l l)))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (.f64 (-.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 31/360 binary64)) (.f64 #s(literal -1/6 binary64) (/.f64 t (pow.f64 (*.f64 k l) #s(literal 2 binary64))))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (+ (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/ t (* l l))) (.f64 (+.f64 (+.f64 (/.f64 (/.f64 t (pow.f64 k #s(literal 4 binary64))) (.f64 l l)) (.f64 (/.f64 t (pow.f64 (.f64 k l) #s(literal 2 binary64))) #s(literal 1/6 binary64))) (.f64 (/.f64 t (.f64 l l)) #s(literal 31/360 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (/.f64 (.f64 #s(literal 31/360 binary64) (.f64 (pow.f64 k #s(literal 4 binary64)) t)) (*.f64 l l)))
#s(approx (* (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (* k k)) (.f64 (-.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 31/360 binary64)) (.f64 #s(literal -1/6 binary64) (/.f64 t (pow.f64 (*.f64 k l) #s(literal 2 binary64))))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (/.f64 (.f64 (.f64 (.f64 k k) #s(literal 31/360 binary64)) t) (.f64 l l)))
#s(approx (/ (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (* l l)) (.f64 (-.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 31/360 binary64)) (.f64 #s(literal -1/6 binary64) (/.f64 t (pow.f64 (.f64 k l) #s(literal 2 binary64))))) (.f64 k k)))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (.f64 (.f64 (*.f64 k k) #s(literal 31/360 binary64)) t))
#s(approx (+ (* 1/6 t) (* 31/360 (* (* k k) t))) (.f64 (-.f64 (.f64 #s(literal 31/360 binary64) t) (.f64 #s(literal -1/6 binary64) (/.f64 t (.f64 k k)))) (*.f64 k k)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k)))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (.f64 (/.f64 (pow.f64 (.f64 k l) #s(literal 2 binary64)) t) #s(literal -1/3 binary64)))
#s(approx (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (*.f64 k k)))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) (.f64 (pow.f64 (.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
#s(approx (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) (.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) (*.f64 k k)))
#s(approx (+ (/ (* k k) (* t t)) 1) (.f64 (+.f64 (pow.f64 t #s(literal -2 binary64)) (pow.f64 k #s(literal -2 binary64))) (.f64 k k)))
#s(approx (* (sin k) (tan k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
#s(approx (tan k) (tan.f64 k))

eval984.0ms (5.7%)

Memory

10.7MiB live, 809.2MiB allocated; 84ms collecting garbage

Samples

567.0ms	15 592×	0	valid
114.0ms	3 096×	0	invalid

Compiler

Compiled 23 732 to 2 416 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult: 213.0ms (65.6% of total)

ival-div: 92.0ms (28.3% of total)

ival-true: 10.0ms (3.1% of total)

ival-assert: 6.0ms (1.8% of total)

adjust: 4.0ms (1.2% of total)

prune641.0ms (3.7%)

Memory

-15.8MiB live, 510.5MiB allocated; 99ms collecting garbage

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	493	21	514
Fresh	8	2	10
Picked	4	1	5
Done	0	0	0
Total	505	24	529

Accuracy

96.7%

Counts

529 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (sin.f64 k)))) (+.f64 (ratio-of-squares.f64 k t) #s(literal 0 binary64)))
	39.1%	(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) #s(approx (tan k) k)))))
	39.4%	(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
	33.2%	(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (.f64 k (/.f64 k (.f64 t t))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
	50.5%	(/.f64 #s(literal 2 binary64) (.f64 #s(approx (- (+ (/ ( k k) (* t t)) 1) 1) (ratio-of-squares.f64 k t)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))))
	77.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
▶	89.9%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))
	67.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
▶	81.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
	60.6%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
	70.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
	39.4%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
	38.7%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
	89.5%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
	46.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
▶	47.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
	62.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
✓	38.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
	38.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
	69.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
	70.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
	76.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
▶	50.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
▶	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

Samples

391.0ms	9 757×	0	valid
49.0ms	1 251×	0	invalid

Compiler

Compiled 1 865 to 1 293 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-mult: 133.0ms (65.2% of total)

ival-div: 59.0ms (28.9% of total)

ival-true: 6.0ms (2.9% of total)

ival-assert: 4.0ms (2% of total)

adjust: 2.0ms (1% of total)

series84.0ms (0.5%)

Memory

46.9MiB live, 46.9MiB allocated; 0ms collecting garbage

Counts

43 → 106

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))))
(.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(ratio-of-squares.f64 k l)
k
l
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
t
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))
(/.f64 (ratio-of-squares.f64 l k) t)
(ratio-of-squares.f64 l k)
#s(literal -1/3 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k)))
(/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))
(+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))
(/.f64 (*.f64 l l) t)
(*.f64 l l)
(*.f64 k k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l))
(+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(.f64 (.f64 k k) #s(literal -1/3 binary64))
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))
(.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))
(/.f64 (.f64 k (.f64 k t)) (cos.f64 k))
(.f64 k (.f64 k t))
(*.f64 k t)
(ratio-of-squares.f64 (sin.f64 k) l)

Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (cos k))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))))
#s(approx (* (/ (/ (* l l) (* k k)) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (* l l) (* k k)) t) #s(hole binary64 (/ (pow l 2) (* (pow k 2) t))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))) (* (pow k 2) t))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))) t)))
#s(approx (* (/ (/ (* l l) (* k k)) t) 2) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (* (/ (* l l) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (* (pow k 4) t) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* k (* k t)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow l 2) (pow k 2))) (* 1/3 (pow l 2))) (* (pow k 2) t)))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow l 2) (pow k 2))) (* 1/3 (pow l 2))) t))))
#s(approx (/ (* k k) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (/ (* l l) (* k k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (* (pow l 2) (- (* 2 (/ 1 (* (pow k 2) t))) (* 1/3 (/ 1 t)))) (pow k 2))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow l 2) (- (* 2 (/ 1 (* (pow k 2) t))) (* 1/3 (/ 1 t))))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* (pow l 2) (+ 2 (* -1/3 (pow k 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 2))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 2))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 (+ 2 (* -1/3 (pow k 2)))))
#s(approx (* (* k k) -1/3) #s(hole binary64 (* -1/3 (pow k 2))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t))))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* -1/3 (* (pow k 2) (pow l 2)))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 (* -1/3 (pow k 2))))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 (* (pow k 2) (- (* 2 (/ 1 (pow k 2))) 1/3))))

Calls

9 calls:

Time	Variable		Point	Expression
21.0ms	t	@	inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) k l (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (/ (* l l) (* k k)) t) -1/3) (/ (/ (* l l) (* k k)) t) (/ (* l l) (* k k)) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3) (/ (* l l) t) (* l l) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (* (+ (* (* k k) -1/3) 2) (* l l)) (+ (* (* k k) -1/3) 2) (* (* k k) -1/3) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* k (* k t)) (cos k)) (* k (* k t)) (* k t) (/ (* (sin k) (sin k)) (* l l)))
9.0ms	t	@	-inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) k l (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (/ (* l l) (* k k)) t) -1/3) (/ (/ (* l l) (* k k)) t) (/ (* l l) (* k k)) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3) (/ (* l l) t) (* l l) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (* (+ (* (* k k) -1/3) 2) (* l l)) (+ (* (* k k) -1/3) 2) (* (* k k) -1/3) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* k (* k t)) (cos k)) (* k (* k t)) (* k t) (/ (* (sin k) (sin k)) (* l l)))
8.0ms	t	@	0	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) k l (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (/ (* l l) (* k k)) t) -1/3) (/ (/ (* l l) (* k k)) t) (/ (* l l) (* k k)) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3) (/ (* l l) t) (* l l) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (* (+ (* (* k k) -1/3) 2) (* l l)) (+ (* (* k k) -1/3) 2) (* (* k k) -1/3) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* k (* k t)) (cos k)) (* k (* k t)) (* k t) (/ (* (sin k) (sin k)) (* l l)))
8.0ms	l	@	inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) k l (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (/ (* l l) (* k k)) t) -1/3) (/ (/ (* l l) (* k k)) t) (/ (* l l) (* k k)) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3) (/ (* l l) t) (* l l) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (* (+ (* (* k k) -1/3) 2) (* l l)) (+ (* (* k k) -1/3) 2) (* (* k k) -1/3) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* k (* k t)) (cos k)) (* k (* k t)) (* k t) (/ (* (sin k) (sin k)) (* l l)))
7.0ms	k	@	inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) k l (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (pow (sin k) 2) (sin k) t (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (/ (* l l) (* k k)) t) -1/3) (/ (/ (* l l) (* k k)) t) (/ (* l l) (* k k)) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3) (/ (* l l) t) (* l l) (* k k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (* (+ (* (* k k) -1/3) 2) (* l l)) (+ (* (* k k) -1/3) 2) (* (* k k) -1/3) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) (/ (* k (* k t)) (cos k)) (* k (* k t)) (* k t) (/ (* (sin k) (sin k)) (* l l)))

rewrite148.0ms (0.9%)

Memory

-39.2MiB live, 55.8MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	485	3847
0	539	3463
1	2714	3451
0	8005	3327

Stop Event

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

Counts

149 → 713

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))))
(.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))
(ratio-of-squares.f64 k l)
k
l
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
t
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))
(/.f64 (ratio-of-squares.f64 l k) t)
(ratio-of-squares.f64 l k)
#s(literal -1/3 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k)))
(/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))
(+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (*.f64 l l) t) #s(literal -1/3 binary64)))
(*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64))
(.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))
(/.f64 (*.f64 l l) t)
(*.f64 l l)
(*.f64 k k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l))
(+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64))
(.f64 (.f64 k k) #s(literal -1/3 binary64))
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))
(.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))
(/.f64 (.f64 k (.f64 k t)) (cos.f64 k))
(.f64 k (.f64 k t))
(*.f64 k t)
(ratio-of-squares.f64 (sin.f64 k) l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (cos k))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#s(approx t #s(hole binary64 t))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))))
#s(approx (* (/ (/ (* l l) (* k k)) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (* l l) (* k k)) t) #s(hole binary64 (/ (pow l 2) (* (pow k 2) t))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))) (* (pow k 2) t))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))) t)))
#s(approx (* (/ (/ (* l l) (* k k)) t) 2) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (* (/ (* l l) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (/ (* l l) t) #s(hole binary64 (/ (pow l 2) t)))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (* (pow k 4) t) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (/ (* (pow k 2) t) (cos k))))
#s(approx (* k (* k t)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow l 2) (pow k 2))) (* 1/3 (pow l 2))) (* (pow k 2) t)))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1 (/ (+ (* -2 (/ (pow l 2) (pow k 2))) (* 1/3 (pow l 2))) t))))
#s(approx (/ (* k k) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (/ (* l l) (* k k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (* (pow l 2) (- (* 2 (/ 1 (* (pow k 2) t))) (* 1/3 (/ 1 t)))) (pow k 2))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* (pow l 2) (- (* 2 (/ 1 (* (pow k 2) t))) (* 1/3 (/ 1 t))))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* (pow l 2) (+ 2 (* -1/3 (pow k 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow (sin k) 2) (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 2))))
#s(approx (* k k) #s(hole binary64 (pow k 2)))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2)))))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 2))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 (+ 2 (* -1/3 (pow k 2)))))
#s(approx (* (* k k) -1/3) #s(hole binary64 (* -1/3 (pow k 2))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k (* k t)) (cos k)) (/ (* (sin k) (sin k)) (* l l))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* 1/2 (* (pow k 2) t))))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* k (* k t)) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* (pow k 2) (- (* -1 (* (pow k 2) (+ (* -1/720 t) (+ (* 1/48 t) (* 1/2 (+ (* -1/4 t) (* 1/24 t))))))) (+ (* -1/4 t) (* 1/24 t)))) (* -1/2 t)))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* 2/45 (/ (pow k 2) (pow l 2))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (/ (* (sin k) (sin k)) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/315 (/ (pow k 2) (pow l 2))) (* 2/45 (/ 1 (pow l 2))))) (* 1/3 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (* -1/3 (/ (pow l 2) t))))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) #s(hole binary64 (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t))))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* -1/3 (* (pow k 2) (pow l 2)))))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) #s(hole binary64 (* (pow k 2) (+ (* -1/3 (pow l 2)) (* 2 (/ (pow l 2) (pow k 2)))))))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 (* -1/3 (pow k 2))))
#s(approx (+ (* (* k k) -1/3) 2) #s(hole binary64 (* (pow k 2) (- (* 2 (/ 1 (pow k 2))) 1/3))))

Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))))) (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))))
(.f64 (/.f64 (.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (neg.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 l)))
(.f64 (/.f64 (.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (fabs.f64 l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (fabs.f64 l)))
(.f64 (/.f64 (.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l))
(.f64 (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (.f64 l l)) (/.f64 (.f64 k k) (cos.f64 k)))
(.f64 (/.f64 (.f64 k k) (cos.f64 k)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (.f64 l l)))
(.f64 (/.f64 (.f64 k k) (neg.f64 l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (neg.f64 l)))
(.f64 (/.f64 (.f64 k k) (fabs.f64 l)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (fabs.f64 l)))
(.f64 (/.f64 (.f64 k k) l) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) l))
(.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))))
(.f64 (ratio-of-squares.f64 (sin.f64 k) l) (.f64 (*.f64 k k) (/.f64 t (cos.f64 k))))
(.f64 (.f64 (*.f64 k k) (/.f64 t (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))
(.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (ratio-of-squares.f64 k l))
(.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (.f64 (.f64 k k) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))))) (neg.f64 (.f64 l l)))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (.f64 l l)))
(/.f64 (neg.f64 (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (neg.f64 (cos.f64 k)))
(/.f64 (neg.f64 (neg.f64 (.f64 (.f64 (.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 (cos.f64 k) (*.f64 l l)))))
(/.f64 (.f64 (/.f64 (.f64 k k) l) (neg.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k)))
(/.f64 (.f64 (neg.f64 (.f64 k k)) (neg.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (.f64 k k) (neg.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) (.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (neg.f64 (.f64 (.f64 k k) t))) (.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (.f64 (.f64 k k) t)) (.f64 l (cos.f64 k)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (.f64 (.f64 k k) t))) (.f64 (neg.f64 (*.f64 l l)) (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (.f64 k k) t)) (.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (neg.f64 (.f64 (.f64 k k) t))) (.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)) (.f64 (cos.f64 k) (*.f64 l l)))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 k k) t)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 k k) t)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (.f64 (neg.f64 (.f64 (.f64 k k) t)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (.f64 (.f64 (.f64 k k) t) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l)) (.f64 (cos.f64 k) l))
(/.f64 (.f64 (.f64 (.f64 k k) t) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (/.f64 (.f64 k k) l)) (.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 (.f64 k k))) (.f64 (neg.f64 (cos.f64 k)) (neg.f64 (*.f64 l l))))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 k k)) (.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (/.f64 (.f64 k k) l)) (.f64 (cos.f64 k) l))
(/.f64 (.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (neg.f64 (.f64 k k))) (.f64 (cos.f64 k) (neg.f64 (*.f64 l l))))
(/.f64 (.f64 (neg.f64 (.f64 k k)) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 (neg.f64 (*.f64 l l)) (cos.f64 k)))
(/.f64 (.f64 (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) l) (/.f64 (*.f64 k k) l)) (cos.f64 k))
(/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))
(/.f64 (.f64 (.f64 k k) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k)))) (.f64 l l))
(/.f64 (.f64 (.f64 (.f64 k k) (/.f64 t (cos.f64 k))) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 l l))
(/.f64 (.f64 (ratio-of-squares.f64 k l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (cos.f64 k))
(/.f64 (neg.f64 (.f64 (.f64 (.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (.f64 (cos.f64 k) (*.f64 l l))))
(/.f64 (.f64 (.f64 (.f64 k k) t) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (cos.f64 k) (*.f64 l l)))
(*.f64 (/.f64 (fabs.f64 k) (neg.f64 l)) (/.f64 (fabs.f64 k) (neg.f64 l)))
(*.f64 (/.f64 (fabs.f64 k) (fabs.f64 l)) (/.f64 (fabs.f64 k) (fabs.f64 l)))
(*.f64 (/.f64 (fabs.f64 k) l) (/.f64 (fabs.f64 k) l))
(*.f64 (/.f64 (neg.f64 k) (fabs.f64 l)) (/.f64 (neg.f64 k) (fabs.f64 l)))
(*.f64 (/.f64 (neg.f64 k) l) (/.f64 (neg.f64 k) l))
(*.f64 (/.f64 k (neg.f64 l)) (/.f64 k (neg.f64 l)))
(*.f64 (/.f64 k (fabs.f64 l)) (/.f64 k (fabs.f64 l)))
(*.f64 (neg.f64 (/.f64 k l)) (neg.f64 (/.f64 k l)))
(*.f64 (fabs.f64 (/.f64 k l)) (fabs.f64 (/.f64 k l)))
(*.f64 (/.f64 k l) (/.f64 k l))
(.f64 k (/.f64 k (.f64 l l)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 k)) (neg.f64 (neg.f64 l)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 k)) (neg.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 k)) (fabs.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 k)) (exp.f64 (log.f64 l)))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 k)) (neg.f64 l))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 k)) (fabs.f64 l))
(ratio-of-squares.f64 (neg.f64 (fabs.f64 k)) l)
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 k)) (neg.f64 (neg.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 k)) (neg.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 k)) (fabs.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 k)) (exp.f64 (log.f64 l)))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 k)) (neg.f64 l))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 k)) (fabs.f64 l))
(ratio-of-squares.f64 (fabs.f64 (fabs.f64 k)) l)
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (neg.f64 (neg.f64 l)))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (neg.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (fabs.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (exp.f64 (log.f64 l)))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (neg.f64 l))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) (fabs.f64 l))
(ratio-of-squares.f64 (exp.f64 (log.f64 k)) l)
(ratio-of-squares.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 l)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 k)) (neg.f64 (fabs.f64 l)))
(ratio-of-squares.f64 (neg.f64 (neg.f64 k)) (fabs.f64 (fabs.f64 l)))
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t
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 (+.f64 (.f64 (/.f64 (.f64 l l) t) #s(literal 151/7560 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64)))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64)))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 31/360 binary64) t) (.f64 #s(literal 173/5040 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/315 binary64) (/.f64 t (.f64 l l))) (+.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (/.f64 t (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)))) (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) #s(literal -1/2 binary64)))) (.f64 k k)) (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx k k)
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (+.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) (.f64 k k)) t) (*.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) t) (-.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/24 binary64) t))) (.f64 k k)) (.f64 #s(literal -1/3 binary64) t)) (.f64 #s(literal -1/2 binary64) t)) (.f64 k k)) t) (.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/315 binary64) t) (+.f64 (-.f64 (.f64 #s(literal -1/720 binary64) t) (.f64 #s(literal -1/24 binary64) (.f64 t #s(literal 1/6 binary64)))) (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) t) (-.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/24 binary64) t))) #s(literal -1/2 binary64)))) (.f64 k k)) (.f64 #s(literal 2/45 binary64) t)) (-.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/24 binary64) t))) (.f64 k k)) (.f64 #s(literal -1/3 binary64) t)) (.f64 #s(literal -1/2 binary64) t)) (.f64 k k)) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (.f64 (.f64 k k) t))
#s(approx (* (pow (sin k) 2) t) (.f64 (+.f64 (.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) t) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 #s(literal -2/45 binary64) (.f64 (.f64 k k) t))) (.f64 k k)) t) (.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/315 binary64) (.f64 (.f64 k k) t)) (.f64 #s(literal -2/45 binary64) t)) (.f64 k k)) (.f64 #s(literal -1/3 binary64) t)) (.f64 k k)) t) (*.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (pow (sin k) 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 k k)) #s(literal 1/3 binary64)) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (pow (sin k) 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/315 binary64) (.f64 k k)) #s(literal 2/45 binary64)) (.f64 k k)) #s(literal 1/3 binary64)) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (sin k) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (sin k) (.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 k k)) #s(literal 1/120 binary64)) (.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 k k)) #s(literal 1 binary64)))
#s(approx (cos k) (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 k k)) #s(literal 1/2 binary64)) (.f64 k k)) #s(literal 1 binary64)))
#s(approx (cos k) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 k k)) #s(literal 1/24 binary64)) (.f64 k k)) #s(literal 1/2 binary64)) (.f64 k k)) #s(literal 1 binary64)))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t)))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t)))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (*.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k)))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (/.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) (.f64 l l)) t) (*.f64 k k)))
#s(approx (* k k) (*.f64 k k))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t)))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) (.f64 (.f64 l l) #s(literal 2 binary64)))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) (.f64 l l)))
#s(approx (+ (* (* k k) -1/3) 2) #s(literal 2 binary64))
#s(approx (+ (* (* k k) -1/3) 2) (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))))
#s(approx (* (* k k) -1/3) (.f64 (.f64 k k) #s(literal -1/3 binary64)))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/315 binary64) (/.f64 t (.f64 l l))) (+.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (/.f64 t (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)))) (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) #s(literal -1/2 binary64)))) (.f64 k k)) (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* k (* k t)) (cos k)) (.f64 (.f64 k k) t))
#s(approx (/ (* k (* k t)) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 k k) t)) t) (*.f64 k k)))
#s(approx (/ (* k (* k t)) (cos k)) (.f64 (+.f64 (.f64 (-.f64 (neg.f64 (.f64 (.f64 t #s(literal -5/24 binary64)) (.f64 k k))) (.f64 #s(literal -1/2 binary64) t)) (.f64 k k)) t) (.f64 k k)))
#s(approx (/ (* k (* k t)) (cos k)) (.f64 (+.f64 (.f64 (-.f64 (.f64 (-.f64 (neg.f64 (.f64 (+.f64 (-.f64 (.f64 #s(literal 1/48 binary64) t) (.f64 #s(literal -1/2 binary64) (.f64 t #s(literal -5/24 binary64)))) (.f64 #s(literal -1/720 binary64) t)) (.f64 k k))) (.f64 t #s(literal -5/24 binary64))) (.f64 k k)) (.f64 #s(literal -1/2 binary64) t)) (.f64 k k)) t) (.f64 k k)))
#s(approx (/ (* (sin k) (sin k)) (* l l)) (ratio-of-squares.f64 k l))
#s(approx (/ (* (sin k) (sin k)) (* l l)) (.f64 (+.f64 (pow.f64 l #s(literal -2 binary64)) (.f64 (ratio-of-squares.f64 k l) #s(literal -1/3 binary64))) (*.f64 k k)))
#s(approx (/ (* (sin k) (sin k)) (* l l)) (.f64 (+.f64 (.f64 (/.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 k k)) #s(literal 1/3 binary64)) (.f64 l l)) (.f64 k k)) (pow.f64 l #s(literal -2 binary64))) (*.f64 k k)))
#s(approx (/ (* (sin k) (sin k)) (* l l)) (.f64 (+.f64 (.f64 (-.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal -1/315 binary64) (.f64 k k)) #s(literal 2/45 binary64)) (.f64 l l)) (.f64 k k)) (.f64 (pow.f64 l #s(literal -2 binary64)) #s(literal 1/3 binary64))) (.f64 k k)) (pow.f64 l #s(literal -2 binary64))) (.f64 k k)))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (cos k) (cos.f64 k))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (ratio-of-squares.f64 l k)))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k)))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (ratio-of-squares.f64 l k)))
#s(approx (/ (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (* k k)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k)))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64)))
#s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (*.f64 (/.f64 #s(literal -1/3 binary64) t) (ratio-of-squares.f64 l k)))
#s(approx (/ (* (+ (* (* k k) -1/3) 2) (* l l)) (* (pow k 4) t)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k)))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) (.f64 (pow.f64 (.f64 k l) #s(literal 2 binary64)) #s(literal -1/3 binary64)))
#s(approx (* (+ (* (* k k) -1/3) 2) (* l l)) (.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) (*.f64 k k)))
#s(approx (+ (* (* k k) -1/3) 2) (.f64 (.f64 k k) #s(literal -1/3 binary64)))
#s(approx (+ (* (* k k) -1/3) 2) (.f64 (-.f64 (.f64 (pow.f64 k #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (*.f64 k k)))

eval2.1s (11.9%)

Memory

73.0MiB live, 900.8MiB allocated; 195ms collecting garbage

Samples

1.4s	38 956×	0	valid
46.0ms	1 236×	0	invalid

Compiler

Compiled 46 432 to 4 048 computations (91.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 728.0ms

ival-mult: 481.0ms (66.1% of total)

ival-div: 207.0ms (28.4% of total)

ival-true: 20.0ms (2.7% of total)

ival-assert: 12.0ms (1.6% of total)

adjust: 8.0ms (1.1% of total)

prune892.0ms (5.1%)

Memory

-54.4MiB live, 409.3MiB allocated; 46ms collecting garbage

Pruning

46 alts after pruning (43 fresh and 3 done)

	Pruned	Kept	Total
New	808	30	838
Fresh	5	13	18
Picked	3	2	5
Done	0	1	1
Total	816	46	862

Accuracy

99.6%

Counts

862 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (sin.f64 k)))) (+.f64 (ratio-of-squares.f64 k t) #s(literal 0 binary64)))
	39.4%	(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
	50.5%	(/.f64 #s(literal 2 binary64) (.f64 #s(approx (- (+ (/ ( k k) (* t t)) 1) 1) (ratio-of-squares.f64 k t)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))))
	82.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (.f64 (.f64 k k) t)) (.f64 l (cos.f64 k)))))
	85.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k)))))
	77.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
▶	72.9%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
	80.6%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k)))))
	89.9%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
	70.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
	67.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
✓	81.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
	74.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 l l)))))
	72.1%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
▶	93.2%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
	81.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
	78.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
	70.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
	39.4%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
	38.7%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
	89.5%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
	47.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
▶	62.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
	53.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
✓	38.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
	38.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
	70.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
	76.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
	56.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
	19.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
	55.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
	23.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
	55.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
	52.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
	51.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
	27.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
	70.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
▶	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
✓	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
▶	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
	28.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
	28.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
	28.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))

Samples

546.0ms	15 273×	0	valid
55.0ms	1 367×	0	invalid

Compiler

Compiled 4 317 to 2 882 computations (33.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 293.0ms

ival-mult: 192.0ms (65.6% of total)

ival-div: 83.0ms (28.4% of total)

ival-true: 9.0ms (3.1% of total)

ival-assert: 5.0ms (1.7% of total)

adjust: 4.0ms (1.4% of total)

series68.0ms (0.4%)

Memory

-4.0MiB live, 42.4MiB allocated; 6ms collecting garbage

Counts

42 → 76

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(.f64 (/.f64 (.f64 k t) l) (/.f64 k l))
(/.f64 (*.f64 k t) l)
(*.f64 k t)
k
t
l
(/.f64 k l)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t)))
(*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))
(ratio-of-squares.f64 l k)
(/.f64 #s(literal -1/3 binary64) t)
#s(literal -1/3 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64)))
(.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))
(/.f64 (*.f64 (/.f64 l k) (/.f64 l k)) t)
(*.f64 (/.f64 l k) (/.f64 l k))
(/.f64 l k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(.f64 (.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64)))))
(.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))
(ratio-of-squares.f64 k l)
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
#s(approx (cos k) #s(literal 1 binary64))
#s(literal 1 binary64)

Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* k t) l) (/ k l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))))
#s(approx (* (/ (* l l) (* k k)) (/ -1/3 t)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ -1/3 t) #s(hole binary64 (/ -1/3 t)))
#s(approx (* (/ (* (/ l k) (/ l k)) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (* (/ l k) (/ l k)) t) #s(hole binary64 (/ (pow l 2) (* (pow k 2) t))))
#s(approx (/ (* (* l l) 2) (* (pow k 4) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (pow k 4) t) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (cos k))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (/ (* l l) (* k k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ l k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ l k) #s(hole binary64 (/ l k)))
#s(approx (* (* l l) 2) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ (* k k) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	l	@	-inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (* (/ (* k t) l) (/ k l)) (/ (* k t) l) (* k t) k t l (/ k l) (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* l l) (* k k)) (/ -1/3 t)) (/ (* l l) (* k k)) (/ -1/3 t) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* (/ l k) (/ l k)) t) -1/3) (/ (* (/ l k) (/ l k)) t) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* l l) 2) (* (pow k 4) t)) (* (* l l) 2) (* l l) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (cos k) 1)
8.0ms	t	@	-inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (* (/ (* k t) l) (/ k l)) (/ (* k t) l) (* k t) k t l (/ k l) (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* l l) (* k k)) (/ -1/3 t)) (/ (* l l) (* k k)) (/ -1/3 t) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* (/ l k) (/ l k)) t) -1/3) (/ (* (/ l k) (/ l k)) t) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* l l) 2) (* (pow k 4) t)) (* (* l l) 2) (* l l) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (cos k) 1)
7.0ms	k	@	-inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (* (/ (* k t) l) (/ k l)) (/ (* k t) l) (* k t) k t l (/ k l) (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* l l) (* k k)) (/ -1/3 t)) (/ (* l l) (* k k)) (/ -1/3 t) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* (/ l k) (/ l k)) t) -1/3) (/ (* (/ l k) (/ l k)) t) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* l l) 2) (* (pow k 4) t)) (* (* l l) 2) (* l l) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (cos k) 1)
7.0ms	t	@	0	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (* (/ (* k t) l) (/ k l)) (/ (* k t) l) (* k t) k t l (/ k l) (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* l l) (* k k)) (/ -1/3 t)) (/ (* l l) (* k k)) (/ -1/3 t) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* (/ l k) (/ l k)) t) -1/3) (/ (* (/ l k) (/ l k)) t) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* l l) 2) (* (pow k 4) t)) (* (* l l) 2) (* l l) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (cos k) 1)
7.0ms	t	@	inf	((/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (* (/ (* k t) l) (/ k l)) (/ (* k t) l) (* k t) k t l (/ k l) (/ (pow (sin k) 2) (cos k)) (pow (sin k) 2) (sin k) (cos k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* l l) (* k k)) (/ -1/3 t)) (/ (* l l) (* k k)) (/ -1/3 t) -1/3 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (* (/ (* (/ l k) (/ l k)) t) -1/3) (/ (* (/ l k) (/ l k)) t) (* (/ l k) (/ l k)) (/ l k) (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/ (* (* l l) 2) (* (pow k 4) t)) (* (* l l) 2) (* l l) (* (pow k 4) t) (pow k 4) 4 (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k)) (* (pow (sin k) 2) t) (cos k) 1)

rewrite156.0ms (0.9%)

Memory

0.3MiB live, 56.7MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	393	2845
0	438	2595
1	2237	2583
0	9149	2475

Stop Event

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

Counts

118 → 587

Calls

Call 1

Inputs
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(.f64 (/.f64 (.f64 k t) l) (/.f64 k l))
(/.f64 (*.f64 k t) l)
(*.f64 k t)
k
t
l
(/.f64 k l)
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(sin.f64 k)
(cos.f64 k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t)))
(*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))
(ratio-of-squares.f64 l k)
(/.f64 #s(literal -1/3 binary64) t)
#s(literal -1/3 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64)))
(.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))
(/.f64 (*.f64 (/.f64 l k) (/.f64 l k)) t)
(*.f64 (/.f64 l k) (/.f64 l k))
(/.f64 l k)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
(.f64 (.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
(*.f64 (pow.f64 k #s(literal 4 binary64)) t)
(pow.f64 k #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64)))))
(.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))
(ratio-of-squares.f64 k l)
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
#s(approx (cos k) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (* (/ (* k t) l) (/ k l)) #s(hole binary64 (/ (* (pow k 2) t) (pow l 2))))
#s(approx (/ (* k t) l) #s(hole binary64 (/ (* k t) l)))
#s(approx (* k t) #s(hole binary64 (* k t)))
#s(approx t #s(hole binary64 t))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) (* (pow k 4) t))))
#s(approx (* (/ (* l l) (* k k)) (/ -1/3 t)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ -1/3 t) #s(hole binary64 (/ -1/3 t)))
#s(approx (* (/ (* (/ l k) (/ l k)) t) -1/3) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (* (/ l k) (/ l k)) t) #s(hole binary64 (/ (pow l 2) (* (pow k 2) t))))
#s(approx (/ (* (* l l) 2) (* (pow k 4) t)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (* (pow k 4) t) #s(hole binary64 (* (pow k 4) t)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (/ (* t (pow (sin k) 2)) (cos k))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* t (pow (sin k) 2))))
#s(approx l #s(hole binary64 l))
#s(approx (/ k l) #s(hole binary64 (/ k l)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (* (pow l 2) (+ 2 (* -1/3 (pow k 2)))) (* (pow k 4) t))))
#s(approx (/ (* l l) (* k k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (* (/ l k) (/ l k)) #s(hole binary64 (/ (pow l 2) (pow k 2))))
#s(approx (/ l k) #s(hole binary64 (/ l k)))
#s(approx (* (* l l) 2) #s(hole binary64 (* 2 (pow l 2))))
#s(approx (* l l) #s(hole binary64 (pow l 2)))
#s(approx (/ (* k k) (* l l)) #s(hole binary64 (/ (pow k 2) (pow l 2))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))) (* -1/3 (/ (pow l 2) t))))) (pow k 4))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(hole binary64 (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* -1/3 (/ (pow l 2) t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/6 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t)))) (+ (* -31/2160 (/ (pow l 2) t)) (* 173/5040 (/ (pow l 2) t)))))) (* -2 (+ (* -1/36 (/ (pow l 2) t)) (* 31/360 (/ (pow l 2) t))))))))) (pow k 4))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 31/360 (/ (* (pow k 2) t) (pow l 2))) (* 1/6 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (+ (* 1/6 (/ t (pow l 2))) (* (pow k 2) (+ (* 173/5040 (/ (* (pow k 2) t) (pow l 2))) (* 31/360 (/ t (pow l 2))))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx k #s(hole binary64 k))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (pow k 2)))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* 1/6 (pow k 2))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* 31/360 (pow k 2))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (+ 1/6 (* (pow k 2) (+ 31/360 (* 173/5040 (pow k 2))))))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow k 2)))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* -1/3 (pow k 2))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))))
#s(approx (pow (sin k) 2) #s(hole binary64 (* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))))
#s(approx (sin k) #s(hole binary64 k))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* -1/6 (pow k 2))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* 1/120 (pow k 2)) 1/6))))))
#s(approx (sin k) #s(hole binary64 (* k (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/120 (* -1/5040 (pow k 2)))) 1/6))))))
#s(approx (cos k) #s(hole binary64 1))
#s(approx (cos k) #s(hole binary64 (+ 1 (* -1/2 (pow k 2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* 1/24 (pow k 2)) 1/2)))))
#s(approx (cos k) #s(hole binary64 (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 1/24 (* -1/720 (pow k 2)))) 1/2)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* 2 (/ (pow l 2) (* (pow k 4) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))))
#s(approx (pow k 4) #s(hole binary64 (pow k 4)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (/ (* (pow k 4) t) (pow l 2))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) #s(hole binary64 (* (pow k 4) (+ (* (pow k 2) (- (+ (* -1/3 (/ t (pow l 2))) (* (pow k 2) (- (+ (* 2/45 (/ t (pow l 2))) (* (pow k 2) (- (* -1/315 (/ t (pow l 2))) (+ (* -1/2 (- (* 2/45 (/ t (pow l 2))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2)))))) (+ (* -1/720 (/ t (pow l 2))) (* 1/24 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2)))))))))) (+ (* -1/2 (- (* -1/3 (/ t (pow l 2))) (* -1/2 (/ t (pow l 2))))) (* 1/24 (/ t (pow l 2))))))) (* -1/2 (/ t (pow l 2))))) (/ t (pow l 2))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) t)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (* -1/3 t) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (- (+ (* -1/3 t) (* (pow k 2) (- (+ (* 2/45 t) (* (pow k 2) (- (* -1/315 t) (+ (* -1/2 (- (* 2/45 t) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t)))) (+ (* -1/720 t) (* 1/24 (- (* -1/3 t) (* -1/2 t)))))))) (+ (* -1/2 (- (* -1/3 t) (* -1/2 t))) (* 1/24 t))))) (* -1/2 t)))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) t)))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))))
#s(approx (* (pow (sin k) 2) t) #s(hole binary64 (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))))
#s(approx (/ (pow (sin k) 2) (cos k)) #s(hole binary64 (/ (pow (sin k) 2) (cos k))))
#s(approx (pow (sin k) 2) #s(hole binary64 (pow (sin k) 2)))
#s(approx (sin k) #s(hole binary64 (sin k)))
#s(approx (cos k) #s(hole binary64 (cos k)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (* -1/3 (/ (pow l 2) (* (pow k 2) t)))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) #s(hole binary64 (/ (+ (* -1/3 (/ (pow l 2) t)) (* 2 (/ (pow l 2) (* (pow k 2) t)))) (pow k 2))))

Outputs
(/.f64 #s(literal -2 binary64) (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)))))
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (.f64 k t) l))))) (/.f64 #s(literal 1 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))))))
#s(literal 2 binary64)
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l))))
(.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)) (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)))
(.f64 (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
(.f64 (/.f64 (.f64 k t) l) (*.f64 (/.f64 k l) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))
(/.f64 (neg.f64 (.f64 (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (cos.f64 k)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (/.f64 (.f64 k t) l) k)) (.f64 (neg.f64 (cos.f64 k)) l))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (.f64 k t) k)) (.f64 (neg.f64 (cos.f64 k)) (*.f64 l l)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (cos.f64 k) l))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 k t) l) k)) (.f64 (cos.f64 k) l))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) k)) (.f64 (*.f64 l l) (cos.f64 k)))
(/.f64 (.f64 (.f64 (.f64 k t) (/.f64 k l)) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (.f64 (.f64 k t) (/.f64 k l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 l (cos.f64 k)))
(/.f64 (.f64 (.f64 (/.f64 (.f64 k t) l) k) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (.f64 l (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (.f64 (/.f64 (.f64 k t) l) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 l (cos.f64 k)))
(/.f64 (.f64 (.f64 (.f64 k t) k) (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (.f64 (*.f64 l l) (neg.f64 (cos.f64 k))))
(/.f64 (.f64 (.f64 (.f64 k t) k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (*.f64 l l) (cos.f64 k)))
(/.f64 (.f64 (.f64 (/.f64 k l) (/.f64 (*.f64 k t) l)) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (cos.f64 k))
(.f64 (/.f64 (.f64 k t) (neg.f64 l)) (/.f64 k (neg.f64 l)))
(.f64 (/.f64 (.f64 k t) (fabs.f64 l)) (/.f64 k (fabs.f64 l)))
(.f64 (/.f64 k l) (/.f64 (.f64 k t) l))
(.f64 (/.f64 (.f64 k t) l) (/.f64 k l))
(/.f64 (neg.f64 (.f64 (.f64 k t) (/.f64 k l))) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (/.f64 (.f64 k t) l) k)) (neg.f64 l))
(/.f64 (neg.f64 (.f64 (.f64 k t) k)) (neg.f64 (*.f64 l l)))
(/.f64 (.f64 (neg.f64 k) (neg.f64 (.f64 k t))) (*.f64 l l))
(/.f64 (.f64 (neg.f64 k) (.f64 k t)) (*.f64 (neg.f64 l) l))
(/.f64 (.f64 k (neg.f64 (.f64 k t))) (*.f64 l (neg.f64 l)))
(/.f64 (.f64 k (.f64 k t)) (*.f64 l l))
(/.f64 (.f64 (neg.f64 (.f64 k t)) (neg.f64 k)) (*.f64 l l))
(/.f64 (.f64 (neg.f64 (.f64 k t)) k) (*.f64 (neg.f64 l) l))
(/.f64 (.f64 (.f64 k t) (neg.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 (.f64 (.f64 k t) (/.f64 k l)) l)
(/.f64 (.f64 (/.f64 (.f64 k t) l) k) l)
(/.f64 (.f64 (.f64 k t) k) (*.f64 l l))
(*.f64 k (/.f64 t l))
(/.f64 (neg.f64 (neg.f64 (*.f64 k t))) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 (*.f64 k t)) (neg.f64 l))
(/.f64 (*.f64 k t) l)
(*.f64 k t)
(*.f64 t k)
k
t
l
(/.f64 (neg.f64 (neg.f64 k)) (neg.f64 (neg.f64 l)))
(/.f64 (neg.f64 k) (neg.f64 l))
(/.f64 k l)
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (cos.f64 k))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (neg.f64 (cos.f64 k)))
(/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))
(*.f64 (neg.f64 (sin.f64 k)) (neg.f64 (sin.f64 k)))
(*.f64 (fabs.f64 (sin.f64 k)) (fabs.f64 (sin.f64 k)))
(*.f64 (exp.f64 (log.f64 (sin.f64 k))) (exp.f64 (log.f64 (sin.f64 k))))
(*.f64 (sin.f64 k) (sin.f64 k))
(pow.f64 (exp.f64 (log.f64 (sin.f64 k))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 k) #s(literal -2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k))))
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 k)) #s(literal 2 binary64))))
(pow.f64 (sin.f64 k) #s(literal 1 binary64))
(sin.f64 k)
(exp.f64 (*.f64 (log.f64 (sin.f64 k)) #s(literal 1 binary64)))
(sin.f64 (+.f64 (neg.f64 k) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (+.f64 k (/.f64 (PI.f64) #s(literal 2 binary64))))
(cos.f64 (neg.f64 (neg.f64 k)))
(cos.f64 (neg.f64 k))
(cos.f64 k)
(+.f64 (.f64 (sin.f64 k) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 k) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))
(.f64 (/.f64 #s(literal -1/3 binary64) (.f64 k k)) (/.f64 (*.f64 l l) t))
(.f64 (/.f64 (.f64 l l) (fabs.f64 k)) (/.f64 (/.f64 #s(literal -1/3 binary64) t) (fabs.f64 k)))
(.f64 (/.f64 (.f64 l l) (neg.f64 k)) (/.f64 (/.f64 #s(literal -1/3 binary64) t) (neg.f64 k)))
(.f64 (/.f64 (.f64 l l) k) (/.f64 (/.f64 #s(literal -1/3 binary64) t) k))
(.f64 (/.f64 (.f64 l l) t) (/.f64 #s(literal -1/3 binary64) (*.f64 k k)))
(*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))
(*.f64 (/.f64 #s(literal -1/3 binary64) t) (ratio-of-squares.f64 l k))
(*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))
(*.f64 #s(literal -1/3 binary64) (/.f64 (ratio-of-squares.f64 l k) t))
(/.f64 (neg.f64 (.f64 (.f64 l l) (/.f64 #s(literal -1/3 binary64) t))) (neg.f64 (*.f64 k k)))
(/.f64 (neg.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64))) (neg.f64 t))
(/.f64 (neg.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64))) (neg.f64 (.f64 (.f64 k k) t)))
(/.f64 (neg.f64 (.f64 #s(literal -1/3 binary64) (.f64 l l))) (neg.f64 (.f64 (.f64 k k) t)))
(/.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) k)) (*.f64 (neg.f64 t) k))
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(/.f64 (neg.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (neg.f64 #s(approx (cos k) #s(literal 1 binary64))))
(/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)
(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (cos k) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (ratio-of-squares.f64 k l)))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (ratio-of-squares.f64 k l)))
#s(approx (* (/ (* k t) l) (/ k l)) (.f64 (/.f64 t l) (/.f64 (.f64 k k) l)))
#s(approx (/ (* k t) l) (/.f64 (*.f64 k t) l))
#s(approx (* k t) (*.f64 k t))
#s(approx t t)
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (* (/ (* (/ l k) (/ l k)) t) -1/3) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))
#s(approx (/ -1/3 t) (/.f64 #s(literal -1/3 binary64) t))
#s(approx (* (/ (* (/ l k) (/ l k)) t) -1/3) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))
#s(approx (/ (* (/ l k) (/ l k)) t) (/.f64 (ratio-of-squares.f64 l k) t))
#s(approx (/ (* (* l l) 2) (* (pow k 4) t)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (* (pow k 4) t) (*.f64 (pow.f64 k #s(literal 4 binary64)) t))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))) (ratio-of-squares.f64 k l)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (/.f64 t (cos.f64 k))))
#s(approx (* (pow (sin k) 2) t) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))
#s(approx l l)
#s(approx (/ k l) (/.f64 k l))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (* (/ l k) (/ l k)) (ratio-of-squares.f64 l k))
#s(approx (* (/ l k) (/ l k)) (ratio-of-squares.f64 l k))
#s(approx (/ l k) (/.f64 l k))
#s(approx (* (* l l) 2) (.f64 (.f64 l l) #s(literal 2 binary64)))
#s(approx (* l l) (*.f64 l l))
#s(approx (/ (* k k) (* l l)) (ratio-of-squares.f64 k l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 #s(literal -2 binary64) (+.f64 (.f64 (+.f64 (.f64 (/.f64 (.f64 l l) t) #s(literal 151/7560 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64)))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64)))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 31/360 binary64) t) (.f64 #s(literal 173/5040 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (.f64 (+.f64 (.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (* (/ (* k t) l) (/ k l)) (/ (pow (sin k) 2) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/315 binary64) (/.f64 t (.f64 l l))) (+.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (/.f64 t (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)))) (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) #s(literal -1/2 binary64)))) (.f64 k k)) (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx k k)
#s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k))
#s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 31/360 binary64) (.f64 k k)) #s(literal 1/6 binary64)) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 173/5040 binary64) (.f64 k k)) #s(literal 31/360 binary64)) (.f64 k k)) #s(literal 1/6 binary64)) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (pow (sin k) 2) (*.f64 k k))
#s(approx (pow (sin k) 2) (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (pow (sin k) 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 k k)) #s(literal 1/3 binary64)) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (pow (sin k) 2) (.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/315 binary64) (.f64 k k)) #s(literal 2/45 binary64)) (.f64 k k)) #s(literal 1/3 binary64)) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))
#s(approx (sin k) k)
#s(approx (sin k) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 k k))) k))
#s(approx (sin k) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (sin k) (.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 k k)) #s(literal 1/120 binary64)) (.f64 k k)) #s(literal 1/6 binary64)) (*.f64 k k)) #s(literal 1 binary64)) k))
#s(approx (cos k) #s(literal 1 binary64))
#s(approx (cos k) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 k k)) #s(literal 1 binary64)))
#s(approx (cos k) (+.f64 (.f64 (-.f64 (.f64 #s(literal 1/24 binary64) (.f64 k k)) #s(literal 1/2 binary64)) (.f64 k k)) #s(literal 1 binary64)))
#s(approx (cos k) (+.f64 (.f64 (-.f64 (.f64 (+.f64 (.f64 #s(literal -1/720 binary64) (.f64 k k)) #s(literal 1/24 binary64)) (.f64 k k)) #s(literal 1/2 binary64)) (.f64 k k)) #s(literal 1 binary64)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (pow k 4) (pow.f64 k #s(literal 4 binary64)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l)))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (* (/ (* k k) (* l l)) (/ (* (pow (sin k) 2) t) (cos k))) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/315 binary64) (/.f64 t (.f64 l l))) (+.f64 (-.f64 (.f64 #s(literal -1/720 binary64) (/.f64 t (.f64 l l))) (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64)))) (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) #s(literal -1/2 binary64)))) (.f64 k k)) (.f64 #s(literal 2/45 binary64) (/.f64 t (.f64 l l)))) (-.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 t (.f64 l l)) #s(literal 1/6 binary64))) (.f64 #s(literal -1/24 binary64) (/.f64 t (.f64 l l))))) (.f64 k k)) (.f64 (/.f64 t (.f64 l l)) #s(literal -1/3 binary64))) (.f64 #s(literal -1/2 binary64) (/.f64 t (.f64 l l)))) (.f64 k k)) (/.f64 t (.f64 l l))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (+.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) (.f64 k k)) t) (*.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) t) (-.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/24 binary64) t))) (.f64 k k)) (.f64 #s(literal -1/3 binary64) t)) (.f64 #s(literal -1/2 binary64) t)) (.f64 k k)) t) (.f64 k k)))
#s(approx (/ (* (pow (sin k) 2) t) (cos k)) (.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/315 binary64) t) (+.f64 (-.f64 (.f64 #s(literal -1/720 binary64) t) (.f64 #s(literal -1/24 binary64) (.f64 t #s(literal 1/6 binary64)))) (.f64 (-.f64 (.f64 #s(literal 2/45 binary64) t) (-.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/24 binary64) t))) #s(literal -1/2 binary64)))) (.f64 k k)) (.f64 #s(literal 2/45 binary64) t)) (-.f64 (.f64 (.f64 t #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (.f64 #s(literal -1/24 binary64) t))) (.f64 k k)) (.f64 #s(literal -1/3 binary64) t)) (.f64 #s(literal -1/2 binary64) t)) (.f64 k k)) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (.f64 (.f64 k k) t))
#s(approx (* (pow (sin k) 2) t) (.f64 (+.f64 (.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) t) t) (*.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (.f64 (+.f64 (.f64 (-.f64 (.f64 #s(literal -1/3 binary64) t) (.f64 #s(literal -2/45 binary64) (.f64 (.f64 k k) t))) (.f64 k k)) t) (.f64 k k)))
#s(approx (* (pow (sin k) 2) t) (.f64 (+.f64 (.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -1/315 binary64) (.f64 k k)) t) (.f64 #s(literal -2/45 binary64) t)) (.f64 k k)) (.f64 #s(literal -1/3 binary64) t)) (.f64 k k)) t) (*.f64 k k)))
#s(approx (/ (pow (sin k) 2) (cos k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))
#s(approx (pow (sin k) 2) (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
#s(approx (sin k) (sin.f64 k))
#s(approx (cos k) (cos.f64 k))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))
#s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (-.f64 (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (/.f64 (ratio-of-squares.f64 l k) t))) (.f64 k k)))

eval1.3s (7.5%)

Memory

18.6MiB live, 575.4MiB allocated; 68ms collecting garbage

Samples

921.0ms	25 487×	0	valid
4.0ms	113×	0	invalid

Compiler

Compiled 26 761 to 2 402 computations (91% saved)

Precisions

Click to see histograms. Total time spent on operations: 484.0ms

ival-mult: 329.0ms (68% of total)

ival-div: 129.0ms (26.7% of total)

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

ival-assert: 8.0ms (1.7% of total)

adjust: 5.0ms (1% of total)

prune683.0ms (3.9%)

Memory

-12.3MiB live, 313.2MiB allocated; 33ms collecting garbage

Pruning

54 alts after pruning (48 fresh and 6 done)

	Pruned	Kept	Total
New	519	16	535
Fresh	6	32	38
Picked	2	3	5
Done	0	3	3
Total	527	54	581

Accuracy

99.6%

Counts

581 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.5%	(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (sin.f64 k)))) (+.f64 (ratio-of-squares.f64 k t) #s(literal 0 binary64)))
	39.4%	(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
	50.5%	(/.f64 #s(literal 2 binary64) (.f64 #s(approx (- (+ (/ ( k k) (* t t)) 1) 1) (ratio-of-squares.f64 k t)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))))
	92.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (cos.f64 k) l))))
	73.8%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) k)) (.f64 (*.f64 l l) (cos.f64 k)))))
	85.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k)))))
	73.7%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l #s(approx (cos k) #s(literal 1 binary64))))))
	77.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
✓	72.9%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
	80.6%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k)))))
	63.8%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
	89.9%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
	70.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
✓	81.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
	72.1%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
	82.0%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))
	72.7%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
	72.7%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
	92.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (*.f64 k (/.f64 t l)) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
	81.3%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
	65.7%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 k (.f64 l l))) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
	78.5%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
	70.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
	39.4%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
	38.7%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
	89.5%	#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
	69.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
	62.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
	53.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
	68.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
✓	38.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
	70.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
	76.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
	56.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
	19.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
	55.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
	23.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
	55.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
	52.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
	51.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
	27.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
	70.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
✓	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
✓	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
✓	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
	28.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
	28.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
	28.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
	29.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
	28.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))

Samples

407.0ms	11 239×	0	valid
38.0ms	1 049×	0	invalid

Compiler

Compiled 6 402 to 2 273 computations (64.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-mult: 139.0ms (65.1% of total)

ival-div: 62.0ms (29% of total)

ival-true: 7.0ms (3.3% of total)

ival-assert: 4.0ms (1.9% of total)

adjust: 3.0ms (1.4% of total)

regimes110.0ms (0.6%)

Memory

-6.5MiB live, 52.3MiB allocated; 2ms collecting garbage

Counts

83 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) #s(approx (tan k) k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(approx ( (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 k (.f64 l l))) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(approx (- (+ (/ ( k k) (* t t)) 1) 1) (ratio-of-squares.f64 k t)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) k)) (.f64 (*.f64 l l) (cos.f64 k)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (sin.f64 k)))) (+.f64 (ratio-of-squares.f64 k t) #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (ratio-of-squares.f64 k t))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (.f64 (.f64 k k) t)) (.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (cos.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (*.f64 k (/.f64 t l)) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (.f64 k (/.f64 k (.f64 t t))) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 (log.f64 t) #s(literal 3 binary64)) (*.f64 (log.f64 l) #s(literal 2 binary64)))) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) (/.f64 k l))) (*.f64 (cos.f64 k) l))))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (*.f64 k (/.f64 t l)) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))

Calls

6 calls:

19.0ms	t
19.0ms	l
19.0ms	k
19.0ms	(*.f64 l l)
14.0ms	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
95.8%	2	`(*.f64 l l)`
93.2%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
93.2%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
94.8%	2	`t`
95.8%	2	`l`
95.7%	2	`k`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes103.0ms (0.6%)

Memory

2.5MiB live, 49.1MiB allocated; 1ms collecting garbage

Counts

77 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
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(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) k)) (.f64 (*.f64 l l) (cos.f64 k)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (sin.f64 k)))) (+.f64 (ratio-of-squares.f64 k t) #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (ratio-of-squares.f64 k t))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (.f64 (.f64 k k) t)) (.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (cos.f64 k) l))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 (*.f64 k t) (/.f64 k l))) (*.f64 (cos.f64 k) l))))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (ratio-of-squares.f64 k l) (*.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))

Calls

6 calls:

18.0ms	l
18.0ms	t
18.0ms	k
16.0ms	(*.f64 l l)
15.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
92.5%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
92.5%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
94.5%	2	`t`
94.3%	2	`k`
94.5%	2	`(*.f64 l l)`
94.5%	2	`l`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes100.0ms (0.6%)

Memory

2.0MiB live, 48.6MiB allocated; 1ms collecting garbage

Counts

76 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) #s(approx (tan k) k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(approx ( (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 k (.f64 l l))) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(approx (- (+ (/ ( k k) (* t t)) 1) 1) (ratio-of-squares.f64 k t)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) k)) (.f64 (*.f64 l l) (cos.f64 k)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (sin.f64 k)))) (+.f64 (ratio-of-squares.f64 k t) #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (ratio-of-squares.f64 k t))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 l l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) l) (.f64 (.f64 k k) t)) (.f64 l (cos.f64 k)))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (*.f64 (/.f64 (*.f64 k k) l) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (*.f64 l (cos.f64 k)))))

#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (*.f64 (*.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))

Calls

6 calls:

18.0ms	l
18.0ms	t
17.0ms	k
16.0ms	(*.f64 l l)
15.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
89.9%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
89.9%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
93.4%	2	`k`
92.8%	2	`t`
92.5%	2	`(*.f64 l l)`
94.3%	3	`l`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes21.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Counts

74 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) #s(approx (tan k) k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(approx ( (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 k (.f64 l l))) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(approx (- (+ (/ ( k k) (* t t)) 1) 1) (ratio-of-squares.f64 k t)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 #s(approx (+ 1 (pow (/ k t) 2)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) (tan.f64 k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) k)) (.f64 (*.f64 l l) (cos.f64 k)))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (sin.f64 k)))) (+.f64 (ratio-of-squares.f64 k t) #s(literal 0 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) #s(approx (- (+ 1 (pow (/ k t) 2)) 1) (ratio-of-squares.f64 k t))))
(/.f64 (/.f64 #s(literal 2 binary64) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (sin.f64 k) (tan.f64 k)))) (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (.f64 k t)) (cos.f64 k)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 l l)))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k)))))

Calls

1 calls:

17.0ms

Results

Accuracy	Segments	Branch
92.9%	2	`k`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes60.0ms (0.3%)

Memory

29.1MiB live, 29.1MiB allocated; 0ms collecting garbage

Counts

62 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) #s(approx (tan k) k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k)))))
(/.f64 #s(literal 2 binary64) (.f64 #s(approx ( (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (.f64 (.f64 k k) (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 k (.f64 l l))) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l #s(approx (cos k) #s(literal 1 binary64))))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (ratio-of-squares.f64 k l) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k)))))

Calls

4 calls:

15.0ms	t
15.0ms	l
14.0ms	k
13.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
91.7%	2	`(*.f64 l l)`
91.7%	2	`l`
85.4%	3	`t`
91.8%	2	`k`

Compiler

Compiled 6 to 13 computations (-116.7% saved)

regimes78.0ms (0.5%)

Memory

-8.4MiB live, 39.0MiB allocated; 1ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 (*.f64 k k) t) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (.f64 (*.f64 k k) t) (ratio-of-squares.f64 (sin.f64 k) l)) (cos.f64 k))))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (*.f64 (sin.f64 k) #s(approx (tan k) k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (pow.f64 k #s(literal 4 binary64))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (*.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))

Calls

6 calls:

14.0ms	k
14.0ms	l
14.0ms	t
12.0ms	(*.f64 l l)
10.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
81.3%	1	`t`
81.3%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
81.3%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
81.3%	1	`(*.f64 l l)`
81.3%	1	`l`
81.3%	1	`k`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes74.0ms (0.4%)

Memory

-37.9MiB live, 36.3MiB allocated; 3ms collecting garbage

Counts

53 → 1

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))

Calls

6 calls:

15.0ms	k
13.0ms	l
13.0ms	t
11.0ms	(*.f64 l l)
10.0ms	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
81.3%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
81.3%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
81.3%	1	`(*.f64 l l)`
81.3%	1	`l`
81.3%	1	`k`
81.3%	1	`t`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes71.0ms (0.4%)

Memory

-11.6MiB live, 35.7MiB allocated; 1ms collecting garbage

Counts

52 → 3

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 k k) (*.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l)))))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (ratio-of-squares.f64 k l) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))

Calls

6 calls:

13.0ms	t
12.0ms	l
12.0ms	k
12.0ms	(*.f64 l l)
9.0ms	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
78.5%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
78.5%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
78.5%	1	`(*.f64 l l)`
78.5%	1	`l`
82.2%	3	`k`
78.5%	1	`t`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes69.0ms (0.4%)

Memory

-12.6MiB live, 35.1MiB allocated; 0ms collecting garbage

Counts

51 → 3

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (ratio-of-squares.f64 k l) (/.f64 (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))

Calls

6 calls:

12.0ms	t
12.0ms	k
12.0ms	l
11.0ms	(*.f64 l l)
9.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
76.7%	1	`t`
76.7%	1	`(*.f64 l l)`
76.7%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
76.7%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
76.7%	1	`l`
81.0%	3	`k`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes14.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

50 → 3

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (*.f64 (/.f64 (cos.f64 k) (*.f64 (*.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64)))

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (ratio-of-squares.f64 k l) (/.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))

Calls

1 calls:

12.0ms

Results

Accuracy	Segments	Branch
81.0%	3	`k`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes66.0ms (0.4%)

Memory

34.1MiB live, 34.1MiB allocated; 0ms collecting garbage

Counts

49 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 l t)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l k)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (+.f64 (.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) t) (.f64 (.f64 (.f64 k k) t) (.f64 (.f64 l l) #s(literal -1/3 binary64)))) (.f64 (.f64 (.f64 k k) t) t)) (.f64 k k))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (.f64 l l))) (.f64 (.f64 (.f64 k k) k) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (ratio-of-squares.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) t) (ratio-of-squares.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t)) (/.f64 (-.f64 (.f64 (ratio-of-squares.f64 l k) #s(literal 2 binary64)) (.f64 (.f64 l l) #s(literal -1/3 binary64))) t)) (*.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 #s(approx (/ ( (* k k) t) (cos k)) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (/.f64 (pow.f64 k #s(literal 4 binary64)) l) (/.f64 t l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (*.f64 (pow.f64 k #s(literal 4 binary64)) t)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) #s(approx (cos k) #s(literal 1 binary64))) (ratio-of-squares.f64 (sin.f64 k) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 1/3 binary64) (.f64 k k))) l) (pow.f64 k #s(literal 4 binary64))) (/.f64 l t)))
(/.f64 #s(literal 2 binary64) (.f64 (-.f64 (+.f64 (ratio-of-squares.f64 k t) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (ratio-of-squares.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (sin k) (tan k)) (*.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (+.f64 t (.f64 #s(literal 1/6 binary64) (.f64 (.f64 k k) t))) (*.f64 l l)) (pow.f64 k #s(literal 4 binary64)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (+.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 #s(literal -1/3 binary64) (pow.f64 (.f64 l k) #s(literal 2 binary64)))) t) (.f64 (.f64 (*.f64 k k) k) k)))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (+.f64 (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/6 binary64) t) (.f64 #s(literal 31/360 binary64) (.f64 (.f64 k k) t))) (.f64 l l)) (.f64 k k)) (/.f64 t (*.f64 l l))) (pow.f64 k #s(literal 4 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (+.f64 (.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) (.f64 k k)) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64))) (.f64 #s(literal 1/3 binary64) (/.f64 (.f64 l l) t))) (.f64 k k)) (.f64 (/.f64 (*.f64 l l) t) #s(literal 2 binary64))) (pow.f64 k #s(literal 4 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l (exp.f64 (log.f64 k))) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 (exp.f64 (log.f64 l)) k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (exp.f64 (.f64 (log.f64 k) #s(literal 2 binary64))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (exp.f64 (.f64 (log.f64 (/.f64 l k)) #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) t))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 k k)) #s(literal 1 binary64)) (*.f64 k k))))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (*.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))

Calls

6 calls:

12.0ms	l
12.0ms	t
12.0ms	k
10.0ms	(*.f64 l l)
9.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
74.8%	2	`(*.f64 l l)`
74.8%	2	`l`
72.7%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
72.7%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
72.7%	1	`t`
75.3%	2	`k`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes8.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 l l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (*.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) k) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/3 binary64))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (+.f64 (.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal 2 binary64)) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/3 binary64))) (.f64 k k))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (*.f64 (/.f64 (*.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (*.f64 k k)))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (*.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
75.2%	2	`k`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.2%)

Memory

-30.2MiB live, 17.6MiB allocated; 0ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k)))))

Outputs

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 (/.f64 l (*.f64 k k)) (/.f64 l (*.f64 k k)))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (*.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))

Calls

6 calls:

5.0ms	t
5.0ms	l
5.0ms	k
4.0ms	(*.f64 l l)
4.0ms	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))

Results

Accuracy	Segments	Branch
70.6%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
70.6%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
70.6%	1	`t`
70.6%	1	`(*.f64 l l)`
70.6%	1	`l`
73.5%	2	`k`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes6.0ms (0%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 (/.f64 l k) (/.f64 l k)) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (/.f64 (-.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 #s(literal -2 binary64) (ratio-of-squares.f64 l k))) t) (.f64 k k))))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (ratio-of-squares.f64 k l) #s(approx (/ (* (pow (sin k) 2) t) (cos k)) (*.f64 (*.f64 k k) t)))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (*.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64))))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
73.2%	2	`k`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes5.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k k)) (/.f64 l t)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l (*.f64 k t)) (/.f64 l k)) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (/.f64 (.f64 l l) (*.f64 k t)) (/.f64 #s(literal -1/3 binary64) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 #s(approx (+ (* (/ (/ (* l l) (* k k)) t) 2) (* (/ (* l l) t) -1/3)) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l k))) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (/.f64 (ratio-of-squares.f64 l k) (.f64 k k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (ratio-of-squares.f64 l k)) t))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (ratio-of-squares.f64 l (.f64 k k)) (/.f64 (+.f64 (.f64 (.f64 k k) #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l l) #s(literal 2 binary64)) (.f64 (.f64 (.f64 k k) (.f64 k k)) t)))

Outputs

(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (*.f64 (ratio-of-squares.f64 k l) #s(approx (/ (* (pow (sin k) 2) t) (cos k)) (*.f64 (*.f64 k k) t)))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
73.0%	2	`k`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes13.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))
#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))

Outputs

#s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (*.f64 (/.f64 (ratio-of-squares.f64 l (*.f64 k k)) t) #s(literal 2 binary64)))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

Calls

6 calls:

2.0ms	t
2.0ms	l
2.0ms	k
2.0ms	(*.f64 l l)
2.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
38.7%	1	`t`
48.1%	4	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
48.6%	2	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
41.7%	2	`(*.f64 l l)`
41.7%	2	`l`
56.8%	2	`k`

Compiler

Compiled 54 to 50 computations (7.4% saved)

regimes2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k))))

Outputs

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (*.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (*.f64 k k))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
56.8%	2	`k`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes9.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (ratio-of-squares.f64 l k) (/.f64 #s(literal -1/3 binary64) t))))

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (/.f64 (*.f64 (ratio-of-squares.f64 l k) #s(literal -1/3 binary64)) t)))

Outputs

#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

Calls

6 calls:

1.0ms	t
1.0ms	k
1.0ms	l
1.0ms	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
1.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))

Results

Accuracy	Segments	Branch
28.8%	1	`t`
28.8%	1	`(*.f64 l l)`
28.8%	1	`l`
28.8%	1	`(.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)))`
28.8%	1	`(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))`
28.8%	1	`k`

Compiler

Compiled 54 to 50 computations (7.4% saved)

bsearch33.0ms (0.2%)

Memory

-39.5MiB live, 10.0MiB allocated; 1ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	1.237294742930361e+114	3.211804853994518e+115

Samples

10.0ms	59×	0	valid
6.0ms	21×	2	valid
6.0ms	17×	3	valid
3.0ms	15×	1	valid

Compiler

Compiled 630 to 459 computations (27.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

adjust: 5.0ms (24.1% of total)

ival-div: 3.0ms (14.5% of total)

ival-mult: 3.0ms (14.5% of total)

ival-pow2: 2.0ms (9.6% of total)

ival-tan: 2.0ms (9.6% of total)

ival-add: 2.0ms (9.6% of total)

ival-sin: 2.0ms (9.6% of total)

ival-sub: 1.0ms (4.8% of total)

ival-pow: 1.0ms (4.8% of total)

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

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

exact: 0.0ms (0% of total)

bsearch33.0ms (0.2%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.303715594827866e+51	5.541178375099367e+52

Samples

11.0ms	147×	0	valid
6.0ms	16×	3	valid
5.0ms	17×	2	valid
3.0ms	12×	1	valid

Compiler

Compiled 520 to 385 computations (26% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

adjust: 4.0ms (21.1% of total)

ival-mult: 4.0ms (21.1% of total)

ival-div: 3.0ms (15.8% of total)

ival-tan: 2.0ms (10.5% of total)

ival-sin: 2.0ms (10.5% of total)

ival-pow2: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

ival-pow: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	8.799099079552533e+95	1.2450854625416005e+96

Samples

9.0ms	105×	0	valid
3.0ms	10×	2	valid
3.0ms	13×	1	valid

Compiler

Compiled 388 to 277 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

adjust: 2.0ms (16.6% of total)

ival-div: 2.0ms (16.6% of total)

ival-tan: 2.0ms (16.6% of total)

ival-mult: 2.0ms (16.6% of total)

ival-sin: 2.0ms (16.6% of total)

ival-pow2: 1.0ms (8.3% of total)

ival-pow: 1.0ms (8.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	6.0821873554796213e-5	2.0650854960032325

Samples

12.0ms	41×	2	valid
7.0ms	62×	0	valid
3.0ms	17×	1	valid
3.0ms	8×	3	valid

Compiler

Compiled 844 to 593 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

adjust: 5.0ms (24.8% of total)

ival-div: 3.0ms (14.9% of total)

ival-mult: 3.0ms (14.9% of total)

ival-pow2: 2.0ms (9.9% of total)

ival-sub: 1.0ms (5% of total)

ival-tan: 1.0ms (5% of total)

ival-add: 1.0ms (5% of total)

ival-pow: 1.0ms (5% of total)

ival-sin: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Memory

-32.5MiB live, 14.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.0650854960032325	7426.496230446812

Samples

18.0ms	200×	0	valid
10.0ms	31×	2	valid
5.0ms	21×	1	valid
2.0ms	4×	3	valid

Compiler

Compiled 812 to 577 computations (28.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-div: 6.0ms (21.4% of total)

ival-mult: 5.0ms (17.9% of total)

adjust: 4.0ms (14.3% of total)

ival-sin: 4.0ms (14.3% of total)

ival-tan: 3.0ms (10.7% of total)

ival-pow2: 2.0ms (7.1% of total)

ival-sub: 1.0ms (3.6% of total)

ival-add: 1.0ms (3.6% of total)

ival-pow: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

bsearch77.0ms (0.4%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.59967102780491e+145	1.023831560567249e+148
28.0ms	6.0821873554796213e-5	2.0650854960032325

Samples

34.0ms	527×	0	valid
12.0ms	40×	2	valid
8.0ms	37×	1	valid
1.0ms	4×	3	valid

Compiler

Compiled 1 420 to 1 033 computations (27.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 10.0ms (24.2% of total)

ival-div: 7.0ms (17% of total)

adjust: 6.0ms (14.5% of total)

ival-sin: 5.0ms (12.1% of total)

ival-tan: 4.0ms (9.7% of total)

ival-pow2: 3.0ms (7.3% of total)

ival-pow: 3.0ms (7.3% of total)

ival-add: 2.0ms (4.8% of total)

ival-sub: 1.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory

13.0MiB live, 13.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	2.59967102780491e+145	1.023831560567249e+148
17.0ms	6.0821873554796213e-5	2.0650854960032325

Samples

17.0ms	413×	0	valid
4.0ms	15×	2	valid
1.0ms	3×	1	valid
0.0ms	1×	3	valid

Compiler

Compiled 1 452 to 1 049 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (43.9% of total)

ival-div: 3.0ms (22% of total)

adjust: 2.0ms (14.6% of total)

ival-pow2: 1.0ms (7.3% of total)

ival-pow: 1.0ms (7.3% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

bsearch25.0ms (0.1%)

Memory

-37.1MiB live, 9.8MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.59967102780491e+145	1.023831560567249e+148
7.0ms	6.0821873554796213e-5	2.0650854960032325

Samples

17.0ms

384×

valid

Compiler

Compiled 1 484 to 1 073 computations (27.7% saved)

Precisions

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

ival-div: 5.0ms (51.6% of total)

ival-mult: 4.0ms (41.2% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch30.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	2650854669100574.5	19554481804159910.0

Samples

8.0ms	24×	2	valid
7.0ms	45×	0	valid
5.0ms	20×	1	valid
3.0ms	7×	3	valid

Compiler

Compiled 700 to 469 computations (33% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

adjust: 4.0ms (21.1% of total)

ival-tan: 3.0ms (15.8% of total)

ival-mult: 3.0ms (15.8% of total)

ival-sin: 3.0ms (15.8% of total)

ival-div: 2.0ms (10.6% of total)

ival-pow2: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

ival-pow: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2650854669100574.5	19554481804159910.0

Compiler

Compiled 652 to 439 computations (32.7% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2650854669100574.5	19554481804159910.0

Compiler

Compiled 616 to 409 computations (33.6% saved)

bsearch6.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	2650854669100574.5	19554481804159910.0

Samples

3.0ms

96×

valid

Compiler

Compiled 640 to 433 computations (32.3% saved)

Precisions

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

ival-mult: 1.0ms (59.4% of total)

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

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

adjust: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2650854669100574.5	19554481804159910.0

Samples

7.0ms

192×

valid

Compiler

Compiled 616 to 427 computations (30.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.5% of total)

ival-div: 1.0ms (29.7% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2650854669100574.5	19554481804159910.0

Samples

7.0ms

192×

valid

Compiler

Compiled 592 to 409 computations (30.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (59.5% of total)

ival-div: 1.0ms (29.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2650854669100574.5	19554481804159910.0

Samples

7.0ms

192×

valid

Compiler

Compiled 556 to 397 computations (28.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (60% of total)

ival-div: 1.0ms (30% of total)

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

adjust: 0.0ms (0% of total)

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

simplify60.0ms (0.3%)

Memory

-28.1MiB live, 18.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	1762
1	311	1690
2	818	1618
3	5084	1618

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f64 l #s(literal 3300000000000000051346073227240581980085064609839502730120242915421751477843693820774451786719656577331480726863872 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (cos.f64 k) l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (*.f64 k (/.f64 t l)) (/.f64 k l)) (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k))))))
(if (<=.f64 l #s(literal 47999999999999999674605536369358142870162005213315072 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (cos.f64 k) l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))))
(if (<=.f64 k #s(literal 1119999999999999904074045243402876513468539233103663028325845781337026909193378002378696815542272 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k))))) #s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))))
(if (<=.f64 k #s(literal 5764607523034235/2305843009213693952 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) (/.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) k)))) (cos.f64 k))))))
(if (<=.f64 k #s(literal 4728779608739021/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
(if (<=.f64 k #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (if (<=.f64 k #s(literal 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104 binary64)) (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))) (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))))
(if (<=.f64 k #s(literal 5902958103587057/18446744073709551616 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (if (<=.f64 k #s(literal 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104 binary64)) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))))
(if (<=.f64 k #s(literal 5902958103587057/18446744073709551616 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (if (<=.f64 k #s(literal 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104 binary64)) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) #s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

Outputs
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(if (<=.f64 l #s(literal 47999999999999999674605536369358142870162005213315072 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k t) (/.f64 k l))) (.f64 (cos.f64 k) l)))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (.f64 t (/.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (cos.f64 k)))))))
(if (<=.f64 k #s(literal 1119999999999999904074045243402876513468539233103663028325845781337026909193378002378696815542272 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (/.f64 (.f64 (/.f64 (.f64 k k) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t)) (.f64 l (cos.f64 k))))) #s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (.f64 (ratio-of-squares.f64 l k) (/.f64 (cos.f64 k) (*.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t))) #s(literal 2 binary64))))
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(if (<=.f64 k #s(literal 4728779608739021/2251799813685248 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t) (cos.f64 k))))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (/.f64 (.f64 k (*.f64 k t)) (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))
(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k (/.f64 (*.f64 k t) (cos.f64 k))) (ratio-of-squares.f64 (sin.f64 k) l))))
(if (<=.f64 k #s(literal 8116567392432203/18446744073709551616 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (if (<=.f64 k #s(literal 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104 binary64)) (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 k k) (.f64 (/.f64 t (cos.f64 k)) (ratio-of-squares.f64 (sin.f64 k) l))))) (/.f64 #s(literal 2 binary64) #s(approx ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))))
(if (<=.f64 k #s(literal 5902958103587057/18446744073709551616 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (if (<=.f64 k #s(literal 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104 binary64)) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) t) #s(approx (cos k) #s(literal 1 binary64))))))))
(if (<=.f64 k #s(literal 5902958103587057/18446744073709551616 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) (if (<=.f64 k #s(literal 10199999999999999988504133046186714994143413014760399447795350487549205153229728213957562143589305091961670726636397788061797011364452009697926447104 binary64)) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 (cos.f64 k) (.f64 (.f64 k k) t)) (ratio-of-squares.f64 l (sin.f64 k))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) k)))) t) #s(approx (cos k) #s(literal 1 binary64))))))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 k k)) #s(literal 1 binary64)) (.f64 k k)))))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (/.f64 (.f64 k t) l) (/.f64 k l)) #s(approx (/ (pow (sin k) 2) (cos k)) (.f64 k k))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (.f64 (/.f64 l (.f64 k k)) (/.f64 l (.f64 k k))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (.f64 (.f64 (/.f64 l k) (/.f64 (/.f64 l k) t)) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) (/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (ratio-of-squares.f64 k l) #s(approx (/ ( (pow (sin k) 2) t) (cos k)) (.f64 (.f64 k k) t))))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) #s(approx (/ 2 (* (- (+ (/ (* k k) (* t t)) 1) 1) (* (/ (* (pow t 3/2) (pow t 3/2)) (* l l)) (* (sin k) (tan k))))) (.f64 (/.f64 (ratio-of-squares.f64 l (.f64 k k)) t) #s(literal 2 binary64))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))))
(if (<=.f64 k #s(literal 13200000000000000 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) t) (ratio-of-squares.f64 l (.f64 k k)))) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64)))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) #s(approx (/ (/ (+ (* 2 (* l l)) (* -1/3 (pow (* l k) 2))) t) (pow k 4)) (*.f64 (/.f64 (ratio-of-squares.f64 l k) t) #s(literal -1/3 binary64))))

derivations444.0ms (2.6%)

Memory

37.8MiB live, 37.8MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Samples

41.0ms	1 167×	0	valid
4.0ms	113×	0	invalid

Compiler

Compiled 1 770 to 211 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 14.0ms (63.8% of total)

ival-div: 6.0ms (27.3% of total)

ival-true: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

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

preprocess2.2s (12.5%)

Memory

50.8MiB live, 920.5MiB allocated; 157ms collecting garbage

Remove

(negabs t)

(abs k)

Samples

1.3s	37 296×	0	valid
184.0ms	3 984×	0	invalid

Compiler

Compiled 4 310 to 780 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 729.0ms

ival-mult: 479.0ms (65.7% of total)

ival-div: 207.0ms (28.4% of total)

ival-true: 21.0ms (2.9% of total)

ival-assert: 13.0ms (1.8% of total)

adjust: 9.0ms (1.2% of total)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.6s (9.5%)

sample3.0s (17.1%)

explain355.0ms (2%)

preprocess146.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

series59.0ms (0.3%)

rewrite150.0ms (0.9%)

eval614.0ms (3.5%)

prune267.0ms (1.5%)

series109.0ms (0.6%)

rewrite122.0ms (0.7%)

eval984.0ms (5.7%)

prune641.0ms (3.7%)

series84.0ms (0.5%)

rewrite148.0ms (0.9%)

eval2.1s (11.9%)

prune892.0ms (5.1%)

series68.0ms (0.4%)

rewrite156.0ms (0.9%)

eval1.3s (7.5%)

prune683.0ms (3.9%)

regimes110.0ms (0.6%)

regimes103.0ms (0.6%)

regimes100.0ms (0.6%)

regimes21.0ms (0.1%)

regimes60.0ms (0.3%)

regimes78.0ms (0.5%)

regimes74.0ms (0.4%)

regimes71.0ms (0.4%)

regimes69.0ms (0.4%)

regimes14.0ms (0.1%)

regimes66.0ms (0.4%)

regimes8.0ms (0%)

regimes29.0ms (0.2%)

regimes6.0ms (0%)

regimes5.0ms (0%)

regimes13.0ms (0.1%)

regimes2.0ms (0%)

regimes9.0ms (0.1%)

bsearch33.0ms (0.2%)

bsearch33.0ms (0.2%)

bsearch21.0ms (0.1%)

bsearch35.0ms (0.2%)

bsearch46.0ms (0.3%)

bsearch77.0ms (0.4%)

bsearch34.0ms (0.2%)

bsearch25.0ms (0.1%)

bsearch30.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch6.0ms (0%)

bsearch11.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch11.0ms (0.1%)

simplify60.0ms (0.3%)

derivations444.0ms (2.6%)

preprocess2.2s (12.5%)

end0.0ms (0%)

Profiling