Metrics for Toniolo and Linder, Equation (10-)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze772.0ms (4.4%)

Memory

-23.6MiB live, 922.5MiB allocated

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)

sample2.7s (15.7%)

Memory

37.0MiB live, 4 011.1MiB allocated

Samples

862.0ms	4 271×	0	valid
616.0ms	1 595×	2	valid
452.0ms	1 307×	3	valid
252.0ms	1 077×	1	valid
2.0ms	6×	4	valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-div: 292.0ms (15.8% of total)

adjust: 278.0ms (15% of total)

ival-mult: 235.0ms (12.7% of total)

ival-tan: 217.0ms (11.7% of total)

ival-sin: 212.0ms (11.4% of total)

ival-pow: 195.0ms (10.5% of total)

ival-pow2: 191.0ms (10.3% of total)

ival-add: 127.0ms (6.9% of total)

ival-sub: 85.0ms (4.6% of total)

exact: 12.0ms (0.6% of total)

ival-true: 7.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain324.0ms (1.9%)

Memory

-4.1MiB live, 525.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
92	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)))`
73	0	-	-	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`
44	1	(-2.9749831310748976e-89 -1.5427075050315997e-168 1.2765384508743121e-250)	-	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`
12	0	-	-	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`
6	0	-	-	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`
2	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))))`
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	45	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**	45	0
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	underflow	80
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	underflow	97
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	underflow	86
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	77
↳	`(*.f64 l l)`	underflow	67
↳	`(/.f64 k t)`	overflow	30
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	77
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	77
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	77
`*.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**	31	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	64
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	70
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	86
↳	`(*.f64 l l)`	overflow	69
↳	`(/.f64 k t)`	underflow	34
↳	`(-.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	25	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	86
↳	`(*.f64 l l)`	overflow	69
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/u	24	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	77
↳	`(*.f64 l l)`	underflow	67
`*.f64`	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	*no**	12	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)))`	*no**	9	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/u	9	0
↳	`(*.f64 l l)`	underflow	67
`*.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**	7	0
`*.f64`	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	*no**	6	0
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	n/o	6	0
↳	`(*.f64 l l)`	overflow	69
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	u/n	6	0
↳	`(pow.f64 t #s(literal 3 binary64))`	underflow	77
`/.f64`	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	o/n	3	0
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	86
`/.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	2	0
↳	`(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))`	overflow	64
↳	`(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))`	overflow	70
↳	`(.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	72
↳	`(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))`	overflow	77
↳	`(/.f64 k t)`	overflow	30
↳	`(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))`	overflow	82
↳	`(pow.f64 t #s(literal 3 binary64))`	overflow	86
↳	`(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))`	overflow	77
↳	`(*.f64 l l)`	overflow	69
↳	`(pow.f64 (/.f64 k t) #s(literal 2 binary64))`	overflow	77

Confusion

	Predicted +	Predicted -
+	167	0
-	27	62

Precision

0.8608247422680413

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	167	0	0
-	27	0	62

Precision?

0.8608247422680413

Recall?

1.0

Freqs

test

number	freq
0	62
1	158
2	36

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms	284×	0	valid
43.0ms	80×	2	valid
43.0ms	98×	3	valid
13.0ms	50×	1	valid

Compiler

Compiled 268 to 61 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-div: 18.0ms (18.2% of total)

adjust: 14.0ms (14.2% of total)

ival-mult: 14.0ms (14.2% of total)

ival-tan: 11.0ms (11.1% of total)

ival-sin: 11.0ms (11.1% of total)

ival-pow2: 10.0ms (10.1% of total)

ival-pow: 9.0ms (9.1% of total)

ival-sub: 7.0ms (7.1% of total)

ival-add: 5.0ms (5.1% of total)

exact: 1.0ms (1% of total)

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

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

preprocess439.0ms (2.5%)

Memory

30.0MiB live, 641.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 980×	`lower-fma.f64`
15 980×	`lower-fma.f32`
6 382×	`lower-*.f32`
6 374×	`lower-*.f64`
3 228×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	231
1	239	207
2	1063	189
0	19	25
0	32	25
1	57	23
2	161	21
3	849	21
4	3567	21
0	8265	21

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) (*.f64 l l)) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 (tan.f64 k) (*.f64 (sin.f64 k) (/.f64 (*.f64 k k) (*.f64 t t))))))

Symmetry

(abs k)

(abs l)

(negabs t)

Compiler

Compiled 28 to 19 computations (32.1% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	35.4%	(/.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

▶

35.4%

(/.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 28 to 19 computations (32.1% saved)

simplify374.0ms (2.2%)

Memory

-14.2MiB live, 554.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	256	(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
cost-diff	384	(/.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))))
cost-diff	5824	(pow.f64 (/.f64 k t) #s(literal 2 binary64))
cost-diff	5824	(pow.f64 t #s(literal 3 binary64))

Rules

15 980×	`lower-fma.f64`
15 980×	`lower-fma.f32`
6 382×	`lower-*.f32`
6 374×	`lower-*.f64`
3 228×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	118
0	32	122
1	57	114
2	161	106
3	849	106
4	3567	106
0	8265	106

Stop Event

1×	iter limit
1×	node limit
1×	iter 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))))
#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
(/.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) (.f64 l l)) (.f64 (.f64 t (.f64 t t)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))))
#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 t (.f64 t t)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) (.f64 l l))
(.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
(/.f64 (.f64 (.f64 t (.f64 t t)) (.f64 (sin.f64 k) (tan.f64 k))) (*.f64 l l))
(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))
(/.f64 (.f64 (.f64 t (.f64 t t)) (sin.f64 k)) (.f64 l l))
(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
(/.f64 (.f64 t (.f64 t t)) (*.f64 l l))
(pow.f64 t #s(literal 3 binary64))
(.f64 t (.f64 t t))
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 (.f64 k k) (.f64 t t))
(+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64)))
(fma.f64 k (/.f64 k (*.f64 t t)) #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(/.f64 (.f64 k k) (.f64 t t))
(/.f64 k t)

localize107.0ms (0.6%)

Memory

25.6MiB live, 100.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	2.8912391025879454	(.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k))
accuracy	9.994705212259243	(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))
accuracy	17.253985009527216	(/.f64 (pow.f64 t #s(literal 3 binary64)) (*.f64 l l))
accuracy	21.820402372076384	(.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)))

Samples

26.0ms	49×	3	valid
25.0ms	142×	0	valid
13.0ms	40×	2	valid
6.0ms	25×	1	valid

Compiler

Compiled 120 to 21 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-div: 16.0ms (30.4% of total)

adjust: 7.0ms (13.3% of total)

ival-mult: 7.0ms (13.3% of total)

ival-sin: 6.0ms (11.4% of total)

ival-tan: 5.0ms (9.5% of total)

ival-pow2: 4.0ms (7.6% of total)

ival-pow: 3.0ms (5.7% of total)

ival-sub: 2.0ms (3.8% of total)

ival-add: 2.0ms (3.8% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory

-28.2MiB live, 54.7MiB allocated

Counts

7 → 192

Calls

Call 1

Inputs
#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())
#s(alt (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)) (patch (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (patch (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())

Outputs
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor 0 t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor -inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor -inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor -inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow t 3) (taylor -inf t) (#s(alt (pow.f64 t #s(literal 3 binary64)) (patch (pow.f64 t #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow k 2) (pow t 2)) (taylor inf k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (pow.f64 (/.f64 k t) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 k t) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf t) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (/.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)))) (patch (/.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)))) #<representation binary64>) () ())) ())
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#s(alt (/ (pow t 3) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (patch (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (patch (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (patch (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (patch (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (pow t 3) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (patch (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor 0 t) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor inf l) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
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#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor -inf l) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor -inf l) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
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#s(alt (* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2)))) (taylor 0 k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* 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)))) (taylor 0 k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* 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)))) (taylor 0 k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor -inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor -inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor -inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())
#s(alt (/ (* (pow t 3) (sin k)) (pow l 2)) (taylor -inf k) (#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (.f64 l l)) (sin.f64 k)) #<representation binary64>) () ())) ())

Calls

48 calls:

Time	Variable		Point	Expression
10.0ms	l	@	0	(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
4.0ms	t	@	0	(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
4.0ms	k	@	-inf	(* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))
2.0ms	k	@	inf	(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))
2.0ms	k	@	-inf	(/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)))

simplify471.0ms (2.7%)

Memory

36.4MiB live, 588.4MiB allocated

Algorithm

1×	egg-herbie

Rules

11 610×	`lower-fma.f64`
11 610×	`lower-fma.f32`
6 458×	`lower-+.f64`
6 458×	`lower-+.f32`
5 872×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	2370
1	358	2366
2	1528	2296
3	4903	2296
0	8537	2278

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 4) t) (pow l 2))
(* (pow k 4) (+ (* 1/6 (/ (* (pow k 2) t) (pow l 2))) (/ t (pow l 2))))
(* (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))))
(* (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))))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (* (pow k 2) (* t (pow (sin k) 2))) (* (pow l 2) (cos k)))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (pow t 3) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* k (pow t 3)) (pow l 2))
(* k (+ (* -1/6 (/ (* (pow k 2) (pow t 3)) (pow l 2))) (/ (pow t 3) (pow l 2))))
(* 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))))
(* 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))))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))
(/ (* (pow t 3) (sin k)) (pow l 2))

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

rewrite411.0ms (2.4%)

Memory

-25.4MiB live, 728.0MiB allocated

Rules

7 508×	`lower-fma.f64`
7 508×	`lower-fma.f32`
5 940×	`lower-*.f32`
5 932×	`lower-*.f64`
4 112×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	82
0	32	78
1	117	74
2	810	70
0	8900	70

Stop Event

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

Counts

7 → 1 085

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 t)))
(exp.f64 (.f64 (log.f64 (.f64 t t)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 t #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 t) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 t) #s(literal 3/2 binary64) (*.f64 (log.f64 t) #s(literal 3/2 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 t (.f64 t (neg.f64 t))))
(neg.f64 (.f64 t (.f64 t (neg.f64 t))))
(pow.f64 t #s(literal 3 binary64))
(pow.f64 (*.f64 t t) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 t))
(.f64 t (.f64 t t))
(.f64 t (.f64 (*.f64 t t) #s(literal 1 binary64)))
(.f64 (.f64 t (*.f64 t t)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 t (*.f64 t t)))
(.f64 (.f64 t t) t)
(.f64 (neg.f64 t) (.f64 t (neg.f64 t)))
(.f64 #s(literal -1 binary64) (.f64 t (*.f64 t (neg.f64 t))))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/2 binary64)))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (neg.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64)))))
(.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 t #s(literal 3/4 binary64)) (.f64 (pow.f64 t #s(literal 3/4 binary64)) (pow.f64 t #s(literal 3/2 binary64))))
(.f64 (.f64 t (neg.f64 t)) (neg.f64 t))
(*.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (neg.f64 (pow.f64 t #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64)))) (pow.f64 t #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (pow.f64 t #s(literal 3/4 binary64))) (pow.f64 t #s(literal 3/4 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal -1 binary64))
(+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 (.f64 k k) (.f64 t t)))
(+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))))
(+.f64 (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64))
(+.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (*.f64 t t)))))))
(+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal 0 binary64))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64))) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (*.f64 t t))))))
(-.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t)))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t)))) (-.f64 (/.f64 (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t)))) (+.f64 (/.f64 (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64))) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t))) #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64))) (/.f64 (.f64 (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t))) #s(literal 1 binary64))))
(-.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))))) (/.f64 (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t)))))
(fma.f64 k (/.f64 (/.f64 k t) t) #s(literal 0 binary64))
(fma.f64 k (pow.f64 (/.f64 (/.f64 k t) t) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 k (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t t) k)) #s(literal 0 binary64))
(fma.f64 k (*.f64 (/.f64 (/.f64 k t) t) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 k (*.f64 k (/.f64 (/.f64 #s(literal 1 binary64) t) t)) #s(literal 0 binary64))
(fma.f64 (/.f64 k t) (/.f64 k t) #s(literal 0 binary64))
(fma.f64 (/.f64 k t) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) k)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 k) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (neg.f64 t)) k)) #s(literal 0 binary64))
(fma.f64 (neg.f64 k) (*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 k t)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (+.f64 (/.f64 (.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (/.f64 (.f64 k k) (*.f64 t t)))) #s(literal -1 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (*.f64 t t)))))))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t))) #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (*.f64 k k) t) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 k t) (/.f64 #s(literal 1 binary64) k)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t)))) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (*.f64 t t)))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (*.f64 t t))))) #s(literal 0 binary64))
(fma.f64 (*.f64 k k) (/.f64 (/.f64 #s(literal 1 binary64) t) t) #s(literal 0 binary64))
(fma.f64 (*.f64 k k) (pow.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 k k) (/.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 0 binary64))
(fma.f64 (.f64 k k) (.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 #s(literal -1 binary64) t)) #s(literal 0 binary64))
(fma.f64 (.f64 k k) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (*.f64 k k) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) t) t) (/.f64 k (/.f64 #s(literal 1 binary64) k)) #s(literal 0 binary64))
(fma.f64 (.f64 k (neg.f64 k)) (/.f64 #s(literal 1 binary64) (.f64 t (neg.f64 t))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t)))))) #s(literal 0 binary64))
(fma.f64 (.f64 (+.f64 #s(literal 2 binary64) (/.f64 (.f64 k k) (.f64 t t))) (neg.f64 (/.f64 (.f64 k k) (.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (/.f64 (.f64 k k) (*.f64 t t))) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (+.f64 (/.f64 (.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (.f64 k k) (*.f64 t t)))) #s(literal -1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) (.f64 (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (.f64 k k) (*.f64 t t)) #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t))) (/.f64 (.f64 k k) (*.f64 t t)) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) (+.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t))) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (/.f64 (.f64 k k) (.f64 t t)) (/.f64 (.f64 k k) (.f64 t t)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (.f64 t t)))) #s(literal 1 binary64))
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(.f64 t (.f64 (.f64 t t) (/.f64 (sin.f64 k) (.f64 l l))))
(.f64 t (.f64 (/.f64 (.f64 t t) (.f64 l l)) (sin.f64 k)))
(.f64 t (.f64 (.f64 t (.f64 t (sin.f64 k))) (/.f64 #s(literal 1 binary64) (*.f64 l l))))
(.f64 t (.f64 (/.f64 (*.f64 t t) l) (/.f64 (sin.f64 k) l)))
(.f64 (.f64 t (.f64 t t)) (/.f64 (sin.f64 k) (.f64 l l)))
(.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (sin.f64 k) l)))
(.f64 (/.f64 (.f64 t (.f64 t t)) (.f64 l l)) (sin.f64 k))
(.f64 (sin.f64 k) (/.f64 (.f64 t (.f64 t t)) (.f64 l l)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 t (.f64 t (.f64 t (sin.f64 k)))) (*.f64 l l)))
(.f64 (.f64 t t) (.f64 t (/.f64 (sin.f64 k) (.f64 l l))))
(.f64 (.f64 t t) (.f64 (/.f64 t (.f64 l l)) (sin.f64 k)))
(.f64 (.f64 t t) (.f64 (.f64 t (sin.f64 k)) (/.f64 #s(literal 1 binary64) (*.f64 l l))))
(.f64 (.f64 t t) (*.f64 (/.f64 t l) (/.f64 (sin.f64 k) l)))
(.f64 (.f64 t (.f64 t (neg.f64 t))) (.f64 (/.f64 #s(literal -1 binary64) (*.f64 l l)) (sin.f64 k)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) (.f64 t (.f64 t (*.f64 t (sin.f64 k)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) (/.f64 (sin.f64 k) (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))))
(.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 (pow.f64 t #s(literal 3/2 binary64)) (/.f64 (sin.f64 k) (*.f64 l l))))
(.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)) (sin.f64 k)))
(.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (sin.f64 k)) (/.f64 #s(literal 1 binary64) (.f64 l l))))
(.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (sin.f64 k) l)))
(.f64 (.f64 t (.f64 t (.f64 t (sin.f64 k)))) (/.f64 #s(literal 1 binary64) (*.f64 l l)))
(.f64 (/.f64 (.f64 t (*.f64 t t)) l) (/.f64 (sin.f64 k) l))
(.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (/.f64 #s(literal 1 binary64) l) (sin.f64 k)))
(.f64 (.f64 (.f64 t (.f64 t t)) (neg.f64 (sin.f64 k))) (/.f64 #s(literal -1 binary64) (*.f64 l l)))
(.f64 (/.f64 (.f64 t (*.f64 t (neg.f64 t))) l) (/.f64 (sin.f64 k) (neg.f64 l)))
(.f64 (/.f64 (sin.f64 k) l) (/.f64 (.f64 t (*.f64 t t)) l))
(.f64 (/.f64 t l) (/.f64 (.f64 t (*.f64 t (sin.f64 k))) l))
(.f64 (/.f64 t l) (/.f64 (sin.f64 k) (/.f64 l (.f64 t t))))
(.f64 (/.f64 t l) (.f64 (/.f64 (*.f64 t t) l) (sin.f64 k)))
(.f64 (/.f64 (.f64 t t) l) (/.f64 (*.f64 t (sin.f64 k)) l))
(.f64 (/.f64 (.f64 t t) l) (/.f64 (sin.f64 k) (/.f64 l t)))
(.f64 (/.f64 (.f64 t t) l) (*.f64 (/.f64 t l) (sin.f64 k)))
(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (sin.f64 k)) l))
(*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 (sin.f64 k) (/.f64 l (pow.f64 t #s(literal 3/2 binary64)))))
(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (sin.f64 k)))
(.f64 (/.f64 #s(literal 1 binary64) l) (.f64 (sin.f64 k) (/.f64 (.f64 t (.f64 t t)) l)))
(.f64 (.f64 (sin.f64 k) (/.f64 (.f64 t (.f64 t t)) l)) (/.f64 #s(literal 1 binary64) l))
(.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 t (.f64 t t)))
(.f64 (/.f64 (sin.f64 k) (.f64 l l)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 t (.f64 t t)))))
(.f64 (/.f64 (.f64 t (.f64 t (neg.f64 t))) #s(literal -1 binary64)) (/.f64 (sin.f64 k) (.f64 l l)))
(.f64 (/.f64 (sin.f64 k) (/.f64 l t)) (/.f64 (.f64 t t) l))
(.f64 (/.f64 (sin.f64 k) (/.f64 l (.f64 t t))) (/.f64 t l))
(*.f64 (/.f64 (sin.f64 k) (/.f64 l (pow.f64 t #s(literal 3/2 binary64)))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(.f64 (/.f64 (sin.f64 k) #s(literal -1 binary64)) (/.f64 (.f64 t (.f64 t t)) (.f64 l (neg.f64 l))))
(.f64 (/.f64 (sin.f64 k) (neg.f64 l)) (/.f64 (.f64 t (*.f64 t (neg.f64 t))) l))
(.f64 (.f64 (sin.f64 k) t) (/.f64 (.f64 t t) (.f64 l l)))
(.f64 (.f64 (sin.f64 k) (.f64 t t)) (/.f64 t (.f64 l l)))
(.f64 (.f64 (sin.f64 k) (pow.f64 t #s(literal 3/2 binary64))) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 l l)))
(.f64 (.f64 (sin.f64 k) (/.f64 t l)) (/.f64 (*.f64 t t) l))
(.f64 (.f64 (sin.f64 k) (/.f64 (*.f64 t t) l)) (/.f64 t l))
(.f64 (.f64 (sin.f64 k) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(.f64 (.f64 (.f64 t (.f64 t (.f64 t (sin.f64 k)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 l l)))

eval361.0ms (2.1%)

Memory: -21.4MiB live, 293.3MiB allocated
Compiler: Compiled 52 331 to 3 955 computations (92.4% saved)

prune275.0ms (1.6%)

Memory

38.8MiB live, 508.6MiB allocated

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	1 254	23	1 277
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1 255	23	1 278

Accuracy

82.2%

Counts

1 278 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.2%	(/.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 k t) #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 k t) #s(literal -1 binary64)) (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) (.f64 l l)))) (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) (*.f64 l l)))))
▶	30.1%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))) l))
	36.9%	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 (.f64 t t) (.f64 (/.f64 t l) (*.f64 (sin.f64 k) (tan.f64 k))))) l))
	38.8%	(/.f64 #s(literal 2 binary64) (.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 l l)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))))
▶	44.2%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))))
	37.9%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 t t) l) (.f64 (/.f64 t l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))))
	28.1%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 k k) (.f64 t t)) (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (sin.f64 k) (tan.f64 k)) (.f64 l l)))))
	38.2%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 t l) (.f64 (/.f64 (.f64 t t) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))))
	50.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) 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))))
	45.8%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 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))))
	46.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (pow.f64 t #s(literal 3/2 binary64))) 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))))
	44.5%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (/.f64 (.f64 (/.f64 t l) (*.f64 t t)) 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))))
	49.6%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (*.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (/.f64 #s(literal 1 binary64) 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))))
	39.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (.f64 (.f64 t t) (/.f64 t (.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))))
	50.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 #s(literal 3 binary64) (log.f64 t)) (*.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))))
	36.6%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(approx (* (/ (pow t 3) (* l l)) (sin k)) (/.f64 (.f64 t (.f64 k (.f64 t t))) (.f64 l l))) (tan.f64 k)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 k t) #s(literal 2 binary64))) #s(literal 1 binary64))))
▶	27.7%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
	33.2%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t t) (.f64 (/.f64 t (.f64 l l)) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))))
	70.9%	(/.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 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (.f64 l (*.f64 l (cos.f64 k))))))
	59.4%	(/.f64 #s(literal 2 binary64) #s(approx (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
	41.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
▶	71.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
▶	59.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))

Compiler

Compiled 1 316 to 770 computations (41.5% saved)

simplify473.0ms (2.7%)

Memory

-0.7MiB live, 550.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))))
cost-diff	384	(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))
cost-diff	12992	(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
cost-diff	0	(/.f64 (.f64 t (.f64 t t)) l)
cost-diff	0	(/.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))) l))
cost-diff	384	(.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))
cost-diff	384	(/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))) l)
cost-diff	0	(.f64 t (.f64 t t))
cost-diff	0	(.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))
cost-diff	0	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
cost-diff	384	(.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))
cost-diff	0	(*.f64 l l)
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 l l))
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))
cost-diff	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) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))
cost-diff	0	(.f64 l (.f64 l (cos.f64 k)))
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k))))
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))
cost-diff	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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))

Rules

15 812×	`lower-fma.f64`
15 812×	`lower-fma.f32`
6 756×	`lower-*.f32`
6 714×	`lower-*.f64`
2 546×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	564
0	94	518
1	206	500
2	798	482
3	5179	482
0	8129	482

Stop Event

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

Calls

Call 1

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

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

localize367.0ms (2.1%)

Memory

-7.6MiB live, 549.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	7.856252319743563	(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
accuracy	10.66275369256891	(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
accuracy	15.572133181791495	(/.f64 (.f64 k k) (.f64 t t))
accuracy	16.750555367518352	(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))
accuracy	4.174976065019523	(/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))) l)
accuracy	5.870565504401616	(/.f64 (.f64 t (.f64 t t)) l)
accuracy	15.572133181791495	(/.f64 (.f64 k k) (.f64 t t))
accuracy	26.393704225229875	(.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (*.f64 t t)))))
accuracy	4.28925664038584	(/.f64 (sin.f64 k) (*.f64 l l))
accuracy	10.628444720583731	(.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (*.f64 t t))))
accuracy	15.572133181791495	(/.f64 (.f64 k k) (.f64 t t))
accuracy	28.10027469735756	(.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))
accuracy	0.11556625976844202	(.f64 (.f64 k k) (*.f64 k k))
accuracy	4.035302028554021	(.f64 t (.f64 (.f64 k k) (.f64 k k)))
accuracy	15.309449042051906	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))
accuracy	17.08727116775829	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))
accuracy	0.1796875	(.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))
accuracy	0.285820019536884	(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy	3.2434983828851562	(*.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))
accuracy	17.64290584012949	(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))

Samples

99.0ms	49×	3	valid
71.0ms	144×	0	valid
60.0ms	38×	2	valid
22.0ms	25×	1	valid

Compiler

Compiled 530 to 55 computations (89.6% saved)

Precisions

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

adjust: 54.0ms (30% of total)

ival-mult: 43.0ms (23.9% of total)

ival-div: 40.0ms (22.2% of total)

ival-pow: 10.0ms (5.6% of total)

ival-pow2: 8.0ms (4.4% of total)

ival-sin: 8.0ms (4.4% of total)

ival-tan: 5.0ms (2.8% of total)

ival-cos: 5.0ms (2.8% of total)

ival-add: 5.0ms (2.8% of total)

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

exact: 1.0ms (0.6% of total)

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

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

series103.0ms (0.6%)

Memory

9.1MiB live, 229.7MiB allocated

Counts

27 → 744

Calls

Call 1

Inputs
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))) (patch (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (patch (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 l (cos.f64 k))) (patch (.f64 l (.f64 l (cos.f64 k))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k)))) (patch (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 l l)) (patch (.f64 #s(literal 2 binary64) (.f64 l l)) #<representation binary64>) () ())
#s(alt (.f64 l l) (patch (.f64 l l) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t)))) (patch (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))) (patch (/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) (patch (.f64 (.f64 t (.f64 t t)) (.f64 (/.f64 (sin.f64 k) (.f64 l l)) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 t t)) (patch (.f64 t (.f64 t t)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) l) (patch (/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) l) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) (patch (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) l)) (patch (/.f64 #s(literal 2 binary64) (/.f64 (.f64 (/.f64 (.f64 t (.f64 t t)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) l)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 t (.f64 t t)) l) (patch (/.f64 (.f64 t (.f64 t t)) l) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))) (patch (/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (patch (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #<representation binary64>) () ())
#s(alt (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (patch (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (patch (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())
#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 t) (#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))))) #<representation binary64>) () ())) ())
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#s(alt (* k (* t (pow (sin k) 2))) (taylor -inf t) (#s(alt (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (patch (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* k (* t (pow (sin k) 2))) (taylor -inf t) (#s(alt (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (patch (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* k (* t (pow (sin k) 2))) (taylor -inf t) (#s(alt (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) (patch (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf t) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor 0 k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 4) t) (taylor -inf k) (#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor 0 k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor 0 k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor 0 k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor 0 k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor -inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor -inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor -inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (pow k 4) (taylor -inf k) (#s(alt (.f64 (.f64 k k) (.f64 k k)) (patch (.f64 (.f64 k k) (.f64 k k)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf k) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor 0 t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ (pow k 2) (pow t 2)) (taylor -inf t) (#s(alt (/.f64 (.f64 k k) (.f64 t t)) (patch (/.f64 (.f64 k k) (.f64 t t)) #<representation binary64>) () ())) ())
#s(alt (/ k (pow l 2)) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* k (+ (* -1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* k (+ (* (pow k 2) (- (* 1/120 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (* k (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/5040 (/ (pow k 2) (pow l 2))) (* 1/120 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2)))) (taylor 0 k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf k) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor 0 l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())
#s(alt (/ (sin k) (pow l 2)) (taylor -inf l) (#s(alt (/.f64 (sin.f64 k) (.f64 l l)) (patch (/.f64 (sin.f64 k) (.f64 l l)) #<representation binary64>) () ())) ())

Calls

186 calls:

Time	Variable		Point	Expression
7.0ms	t	@	-inf	(/ (* 2 (* l l)) (* t (* (* k k) (* k k))))
4.0ms	t	@	0	(/ (* 2 (* l (* l (cos k)))) (* k (* k (* t (pow (sin k) 2)))))
3.0ms	t	@	-inf	(* (/ (pow t 3/2) l) (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))))
2.0ms	l	@	inf	(* 2 (* l l))
2.0ms	k	@	inf	(/ (* 2 (* l (* l (cos k)))) (* k (* k (* t (pow (sin k) 2)))))

simplify502.0ms (2.9%)

Memory

20.2MiB live, 962.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
7 712×	`lower-*.f64`
7 712×	`lower-*.f32`
5 032×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	310	10851
1	1058	10666
2	4287	10374
0	8948	10264

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 744

Calls

Call 1

Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* (pow k 2) t)
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(* t (pow (sin k) 2))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(* (pow k 3) t)
(* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(pow k 4)
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ (pow k 2) (pow t 2))
(/ k (pow l 2))
(* k (+ (* -1/6 (/ (pow k 2) (pow l 2))) (/ 1 (pow l 2))))
(* k (+ (* (pow k 2) (- (* 1/120 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(* k (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/5040 (/ (pow k 2) (pow l 2))) (* 1/120 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))
(/ (sin k) (pow l 2))

Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k)))
(/ (+ (* 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))
(/.f64 (fma.f64 (.f64 k k) (.f64 (.f64 k k) (.f64 (/.f64 (.f64 l l) t) #s(literal -7/60 binary64))) (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 k k) (*.f64 k k)))
(/ (+ (* 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))
(/.f64 (fma.f64 (.f64 k k) (.f64 (.f64 (.f64 k k) #s(literal -2 binary64)) (fma.f64 k (.f64 k (.f64 (/.f64 (.f64 l l) t) #s(literal 31/3024 binary64))) (.f64 (/.f64 (.f64 l l) t) #s(literal 7/120 binary64)))) (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 (.f64 k k) (*.f64 k k)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(* 2 (/ (pow l 2) (* (pow k 4) t)))
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(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))
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(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))
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(fma.f64 k (/.f64 (.f64 (.f64 k k) #s(literal -1/6 binary64)) (.f64 l l)) (/.f64 k (.f64 l l)))
(* k (+ (* (pow k 2) (- (* 1/120 (/ (pow k 2) (pow l 2))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(fma.f64 k (.f64 (.f64 k k) (.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal 1/120 binary64) #s(literal -1/6 binary64)))) (/.f64 k (.f64 l l)))
(* k (+ (* (pow k 2) (- (* (pow k 2) (+ (* -1/5040 (/ (pow k 2) (pow l 2))) (* 1/120 (/ 1 (pow l 2))))) (* 1/6 (/ 1 (pow l 2))))) (/ 1 (pow l 2))))
(fma.f64 (.f64 k (.f64 k k)) (fma.f64 (/.f64 (.f64 k k) (.f64 l l)) (fma.f64 (.f64 k k) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (/.f64 #s(literal -1/6 binary64) (.f64 l l))) (/.f64 k (*.f64 l l)))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))
(/ (sin k) (pow l 2))
(/.f64 (sin.f64 k) (*.f64 l l))

rewrite448.0ms (2.6%)

Memory

22.5MiB live, 553.3MiB allocated

Rules

6 304×	`lower-*.f32`
6 262×	`lower-*.f64`
4 776×	`lower-/.f32`
4 760×	`lower-/.f64`
2 700×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	58	411
0	94	361
1	337	349
2	2449	345
0	8800	345

Stop Event

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

Counts

27 → 776

Calls

Call 1

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

Outputs
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (neg.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(neg.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) #s(literal -2 binary64)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k))))
(/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) #s(literal -2 binary64)) (neg.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l)))))
(/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))
(/.f64 (neg.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) #s(literal -2 binary64))) (neg.f64 (neg.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(/.f64 (neg.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))))
(/.f64 (.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) #s(literal 1 binary64)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(/.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (.f64 (cos.f64 k) (.f64 l l))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))
(/.f64 (.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))) k)
(/.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) k)
(/.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 k k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) k) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k)
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
(pow.f64 (/.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))))
(.f64 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 #s(literal 2 binary64) k))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 2 binary64) l) (.f64 (.f64 l (cos.f64 k)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))))
(.f64 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #s(literal 2 binary64))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 (cos.f64 k) (.f64 l l)) k))
(.f64 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) k) (/.f64 #s(literal 2 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))))
(.f64 (/.f64 #s(literal 2 binary64) (.f64 k k)) (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 (/.f64 (.f64 (cos.f64 k) (.f64 l l)) (.f64 k k)) (/.f64 #s(literal 2 binary64) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) k) (/.f64 (.f64 l (cos.f64 k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k k)) (/.f64 (.f64 l (cos.f64 k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 k k)) (pow.f64 (/.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) k) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) (.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))) #s(literal -1 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (.f64 (.f64 (cos.f64 k) (*.f64 l l)) (/.f64 #s(literal 2 binary64) k)))
(.f64 (pow.f64 (/.f64 k (.f64 (cos.f64 k) (.f64 l l))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (.f64 (cos.f64 k) (.f64 l l))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 k (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) (.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 k (.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 k k) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (cos.f64 k) (.f64 l l))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 (cos.f64 k) (.f64 l l))) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 k k) (.f64 #s(literal 2 binary64) l)) #s(literal -1 binary64)) (pow.f64 (/.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 l (cos.f64 k))) #s(literal -1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (cos.f64 k) (*.f64 l l)))
(.f64 l (.f64 (*.f64 l (cos.f64 k)) #s(literal 2 binary64)))
(.f64 (.f64 l (cos.f64 k)) (*.f64 #s(literal 2 binary64) l))
(.f64 (.f64 (cos.f64 k) (*.f64 l l)) #s(literal 2 binary64))
(.f64 (.f64 l l) (*.f64 (cos.f64 k) #s(literal 2 binary64)))
(.f64 (.f64 l (*.f64 #s(literal 2 binary64) l)) (cos.f64 k))
(.f64 (.f64 #s(literal 2 binary64) l) (*.f64 l (cos.f64 k)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 l (cos.f64 k))) l)
(.f64 (.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 k)) l)
(.f64 l (.f64 l (cos.f64 k)))
(.f64 (cos.f64 k) (.f64 l l))
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 l (pow.f64 t #s(literal -3/2 binary64)))))
(/.f64 (*.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(literal 1 binary64)) l)
(/.f64 (neg.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 l)))
(pow.f64 (*.f64 l (pow.f64 t #s(literal -3/2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 l (pow.f64 t #s(literal -3/2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l))
(*.f64 (pow.f64 t #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) l))
(*.f64 (neg.f64 (pow.f64 t #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 l)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 t #s(literal 3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (pow.f64 (pow.f64 t #s(literal -3/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 t #s(literal 3/4 binary64)) (.f64 (pow.f64 t #s(literal 3/4 binary64)) (/.f64 #s(literal 1 binary64) l)))
(*.f64 (pow.f64 t #s(literal 3/4 binary64)) (/.f64 (pow.f64 t #s(literal 3/4 binary64)) l))
(.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
(.f64 (sin.f64 k) (.f64 (sin.f64 k) t))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t)
(.f64 (.f64 t (sin.f64 k)) (sin.f64 k))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 k))))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 k))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (sin.f64 k)) (log.f64 (sin.f64 k))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(/.f64 (-.f64 (cos.f64 (-.f64 k k)) (cos.f64 (+.f64 k k))) #s(literal 2 binary64))
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 k)))
(*.f64 (sin.f64 k) (sin.f64 k))
(.f64 t (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) k))
(.f64 k (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))
(.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k)
(.f64 (.f64 t k) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
(.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) t)
(.f64 (.f64 (*.f64 t k) (sin.f64 k)) (sin.f64 k))
(.f64 t (.f64 k (.f64 k (.f64 k k))))
(.f64 k (.f64 (.f64 k (.f64 k k)) t))
(.f64 (.f64 k k) (.f64 t (.f64 k k)))
(.f64 (.f64 k (.f64 k (.f64 k k))) t)
(.f64 (.f64 t k) (.f64 k (.f64 k k)))
(.f64 (.f64 t (.f64 k k)) (.f64 k k))
(.f64 (.f64 k (.f64 k k)) (.f64 t k))
(.f64 (.f64 t (.f64 k (.f64 k k))) k)
(.f64 (.f64 (.f64 t (.f64 k k)) k) k)
(exp.f64 (.f64 (log.f64 (.f64 k k)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 k) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 k) (log.f64 (*.f64 k k))))
(pow.f64 k #s(literal 4 binary64))
(pow.f64 (*.f64 k k) #s(literal 2 binary64))
(pow.f64 (.f64 k (.f64 k (*.f64 k k))) #s(literal 1 binary64))
(pow.f64 (neg.f64 (*.f64 k k)) #s(literal 2 binary64))
(.f64 k (.f64 k (*.f64 k k)))
(.f64 (.f64 k k) (*.f64 k k))
(.f64 (neg.f64 (.f64 k k)) (neg.f64 (*.f64 k k)))
(.f64 (.f64 k (*.f64 k k)) k)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t))))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (/.f64 k t))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 t t) (*.f64 k k))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (.f64 k k)) (.f64 (log.f64 t) #s(literal 2 binary64))))
(neg.f64 (/.f64 (.f64 k k) (neg.f64 (.f64 t t))))
(neg.f64 (/.f64 (neg.f64 (.f64 k k)) (.f64 t t)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 t t) (.f64 k k)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 t t) (.f64 k k)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 (*.f64 k k) t)))
(/.f64 (/.f64 k t) (/.f64 t k))
(/.f64 (.f64 k k) (.f64 t t))
(/.f64 (neg.f64 (.f64 k k)) (neg.f64 (.f64 t t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 t t) (.f64 k k))))
(/.f64 (/.f64 (*.f64 k k) t) t)
(/.f64 (.f64 #s(literal 1 binary64) (.f64 k k)) (*.f64 t t))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 k k))) (neg.f64 (*.f64 t t)))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) t)) t)
(/.f64 (.f64 (.f64 k k) #s(literal 1 binary64)) (*.f64 t t))
(/.f64 (.f64 k #s(literal 1 binary64)) (.f64 t (/.f64 t k)))
(/.f64 (.f64 #s(literal 1 binary64) k) (.f64 (/.f64 t k) t))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 k)) (.f64 (/.f64 t k) (neg.f64 t)))
(/.f64 (.f64 (neg.f64 k) #s(literal 1 binary64)) (.f64 (neg.f64 t) (/.f64 t k)))
(/.f64 (neg.f64 (neg.f64 (.f64 k k))) (neg.f64 (neg.f64 (.f64 t t))))
(/.f64 (neg.f64 (/.f64 (*.f64 k k) t)) (neg.f64 t))
(/.f64 (*.f64 (/.f64 k t) k) t)
(/.f64 (*.f64 (/.f64 k t) #s(literal 1 binary64)) (/.f64 t k))
(/.f64 (*.f64 (/.f64 k t) (neg.f64 k)) (neg.f64 t))
(/.f64 (*.f64 (neg.f64 k) (/.f64 k t)) (neg.f64 t))
(pow.f64 (/.f64 k t) #s(literal 2 binary64))
(pow.f64 (/.f64 (.f64 k k) (.f64 t t)) #s(literal 1 binary64))
(pow.f64 (/.f64 t k) #s(literal -2 binary64))
(pow.f64 (/.f64 (.f64 t t) (.f64 k k)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (.f64 t t) (.f64 k k)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (/.f64 (*.f64 k k) t)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (/.f64 k t)))
(.f64 k (/.f64 k (.f64 t t)))
(.f64 k (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 k t)))
(.f64 k (pow.f64 (/.f64 k (.f64 t t)) #s(literal 1 binary64)))
(.f64 k (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 k t)) #s(literal 1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 (.f64 k k) (*.f64 t t)))
(*.f64 (/.f64 k t) (/.f64 k t))
(.f64 (.f64 k k) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(.f64 (.f64 k k) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 t)) #s(literal 2 binary64)))
(.f64 (.f64 k k) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 k k) (*.f64 t t)) #s(literal 1 binary64))
(.f64 (neg.f64 (.f64 k k)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 t t))))
(.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (.f64 k k) t))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (*.f64 k k))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 k k)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 k k) t) (/.f64 #s(literal 1 binary64) t))
(.f64 (/.f64 k (.f64 t t)) k)
(.f64 (.f64 #s(literal 1 binary64) (.f64 k k)) (/.f64 #s(literal 1 binary64) (.f64 t t)))
(.f64 (.f64 #s(literal 1 binary64) k) (/.f64 k (*.f64 t t)))
(*.f64 (/.f64 k (neg.f64 t)) (/.f64 k (neg.f64 t)))
(*.f64 (/.f64 (neg.f64 k) t) (/.f64 (neg.f64 k) t))
(.f64 (.f64 (/.f64 k t) k) (/.f64 #s(literal 1 binary64) t))
(.f64 (pow.f64 (/.f64 k (.f64 t t)) #s(literal 1 binary64)) k)
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 1 binary64)) (*.f64 k k))
(.f64 (pow.f64 (neg.f64 (.f64 k k)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 t t))) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 k k) t) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) (.f64 k k)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 t t)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 1 binary64) k) #s(literal 1 binary64)) (pow.f64 (/.f64 k (*.f64 t t)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 (/.f64 k t) k) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(exp.f64 (.f64 (log.f64 (/.f64 (.f64 l l) (sin.f64 k))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (log.f64 (sin.f64 k)) (*.f64 (log.f64 l) #s(literal 2 binary64))))
(neg.f64 (/.f64 (sin.f64 k) (*.f64 l (neg.f64 l))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 k)) (*.f64 l l)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 l l) (sin.f64 k)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 l l) (sin.f64 k)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 l (/.f64 (sin.f64 k) l)))
(/.f64 (sin.f64 k) (*.f64 l l))
(/.f64 (neg.f64 (sin.f64 k)) (*.f64 l (neg.f64 l)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 l l) (sin.f64 k))))
(/.f64 (/.f64 (sin.f64 k) l) l)
(/.f64 (.f64 (sin.f64 k) #s(literal 1 binary64)) (.f64 l l))
(/.f64 (neg.f64 (neg.f64 (sin.f64 k))) (neg.f64 (*.f64 l (neg.f64 l))))
(/.f64 (neg.f64 (/.f64 (sin.f64 k) l)) (neg.f64 l))
(pow.f64 (/.f64 (*.f64 l l) (sin.f64 k)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 l l) (sin.f64 k)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 l (/.f64 (sin.f64 k) l)) #s(literal -1 binary64))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 k) (.f64 l l)))
(.f64 (sin.f64 k) (/.f64 #s(literal 1 binary64) (.f64 l l)))
(.f64 (neg.f64 (sin.f64 k)) (/.f64 #s(literal 1 binary64) (.f64 l (neg.f64 l))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) (sin.f64 k))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 l l)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 k)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) l) (/.f64 (sin.f64 k) l))
(*.f64 (/.f64 (sin.f64 k) l) (/.f64 #s(literal 1 binary64) l))

eval174.0ms (1%)

Memory: 12.9MiB live, 308.9MiB allocated
Compiler: Compiled 44 164 to 2 823 computations (93.6% saved)

prune362.0ms (2.1%)

Memory

-19.2MiB live, 522.8MiB allocated

Pruning

40 alts after pruning (39 fresh and 1 done)

	Pruned	Kept	Total
New	1 751	37	1 788
Fresh	16	2	18
Picked	4	1	5
Done	0	0	0
Total	1 771	40	1 811

Accuracy

94.6%

Counts

1 811 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.0%	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (.f64 t (/.f64 (.f64 t t) l)) (.f64 (sin.f64 k) (tan.f64 k))) (/.f64 (.f64 k k) (.f64 t t))))
	67.8%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
▶	68.1%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
	68.1%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t l)))) l))
	58.2%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (/.f64 (.f64 k #s(literal 1 binary64)) (.f64 t (/.f64 t k))))))))
	63.2%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (.f64 (tan.f64 k) (.f64 (sin.f64 k) (*.f64 (/.f64 k t) (/.f64 k t)))))))
	59.2%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
	65.7%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (.f64 l (cos.f64 k)))))))
▶	56.8%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
	26.0%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 (sin.f64 k) (.f64 (.f64 k k) (tan.f64 k))) (.f64 (.f64 l l) (.f64 t t))) (.f64 t (*.f64 t t))))
	50.4%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 (.f64 (exp.f64 (-.f64 (.f64 #s(literal 3 binary64) (log.f64 t)) (*.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))))
	30.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (/.f64 (sin.f64 k) l) (.f64 (.f64 k k) (tan.f64 k))) (.f64 l (.f64 t t)))))
	25.1%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
	43.8%	(.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (pow.f64 t #s(literal -3/2 binary64)))) (.f64 (.f64 (pow.f64 t #s(literal 3/2 binary64)) (tan.f64 k)) (/.f64 (.f64 (.f64 (sin.f64 k) k) k) (.f64 t t)))) l)
	31.0%	(.f64 (.f64 (/.f64 l (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (sin.f64 k) (.f64 (.f64 k k) (tan.f64 k))) (*.f64 t t)))) l) #s(literal 2 binary64))
	41.9%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
	60.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
▶	67.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	62.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 k k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))
	41.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
	59.5%	#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) t) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))))
	66.7%	#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) k) (.f64 (cos.f64 k) (.f64 l l))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))))
	64.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
	64.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) t))))
✓	71.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
	62.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.f64 k k)))))))
	61.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) k) k)))
	61.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k k))) k)))
	61.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (.f64 k k))))
	62.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
	43.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
	66.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)))))
	66.7%	#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 l l)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 #s(literal 2 binary64) k)))
▶	81.5%	#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) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)))
	72.3%	#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) (.f64 t (.f64 k k))) (/.f64 l (*.f64 k k))))
	67.5%	#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) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
	81.4%	#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) k) (/.f64 (.f64 l (cos.f64 k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))))
	61.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 t (.f64 k k))) (/.f64 (.f64 l l) (*.f64 k k))))
	70.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
▶	68.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))))

Compiler

Compiled 2 023 to 1 182 computations (41.6% saved)

simplify367.0ms (2.1%)

Memory

-41.5MiB live, 505.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
cost-diff	384	(/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
cost-diff	384	(/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k)
cost-diff	0	(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
cost-diff	0	(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))))
cost-diff	384	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
cost-diff	2048	(.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))
cost-diff	0	(.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))
cost-diff	0	#s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l)))
cost-diff	0	(/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l)
cost-diff	384	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
cost-diff	0	(/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))))
cost-diff	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) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))))
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))
cost-diff	0	#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) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
cost-diff	384	(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))

Rules

12 556×	`lower-fma.f32`
12 552×	`lower-fma.f64`
7 226×	`lower-*.f32`
7 186×	`lower-*.f64`
3 228×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	809
0	125	759
1	275	723
2	918	717
3	4776	709
0	8075	695

Stop Event

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

Calls

Call 1

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

Outputs
#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) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))
(/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))
(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))
(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t k)))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))
(.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t k))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(cos.f64 (+.f64 k k))
(+.f64 k k)
k
(*.f64 t k)
t
(/.f64 (*.f64 l (cos.f64 k)) k)
(*.f64 l (/.f64 (cos.f64 k) k))
(*.f64 l (cos.f64 k))
(cos.f64 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) (.f64 l l)) (.f64 k (.f64 t (.f64 k (.f64 k k))))))
(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 t (.f64 k (.f64 k k)))))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))
(/.f64 l (.f64 k (.f64 t (.f64 k (.f64 k k)))))
(.f64 t (.f64 k (.f64 k (.f64 k k))))
(.f64 k (.f64 t (.f64 k (.f64 k k))))
t
(.f64 k (.f64 k (*.f64 k k)))
k
(.f64 k (.f64 k k))
(*.f64 k k)
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 (.f64 #s(literal 2 binary64) l) #s(approx ( (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 k (.f64 t (.f64 k (.f64 k k)))) l)))
#s(literal 2 binary64)
(/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l)
(/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 k (.f64 t (.f64 k (.f64 k k)))) l)) l)
#s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l)))
#s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 k (.f64 t (.f64 k (.f64 k k)))) l))
(.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))
(/.f64 (.f64 k (.f64 t (.f64 k (.f64 k k)))) l)
(.f64 (.f64 k k) (*.f64 k k))
(.f64 k (.f64 k (*.f64 k k)))
(*.f64 k k)
k
(/.f64 t l)
t
l
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 t #s(literal 3/2 binary64)) #s(approx (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 k (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (.f64 k (*.f64 k k)) k))))))
#s(literal 2 binary64)
(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))))
(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 k (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (.f64 k (*.f64 k k)) k)))))
(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
(pow.f64 t #s(literal 3/2 binary64))
t
#s(literal 3/2 binary64)
l
#s(approx (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))
#s(approx (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 k (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (.f64 k (*.f64 k k)) k))))
(.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))
(.f64 k (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (.f64 k (*.f64 k k)) k)))
(.f64 (.f64 k k) (*.f64 k k))
(.f64 k (.f64 k (*.f64 k k)))
(*.f64 k k)
k
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (.f64 (.f64 k k) (/.f64 (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) l)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l))
(sqrt.f64 (/.f64 #s(literal 1 binary64) t))
(/.f64 #s(literal 1 binary64) t)
#s(literal 1 binary64)
(/.f64 (*.f64 k k) l)
(fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))
#s(literal 31/360 binary64)
#s(literal 1/6 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k)))))
(/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k)
(/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 t (.f64 k k))))
(/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
(/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 t k)))
(.f64 (.f64 (cos.f64 k) (*.f64 l l)) (/.f64 #s(literal 2 binary64) k))
(.f64 l (.f64 l (*.f64 (/.f64 (cos.f64 k) k) #s(literal 2 binary64))))
(.f64 (cos.f64 k) (.f64 l l))
(cos.f64 k)
k
(*.f64 l l)
l
(/.f64 #s(literal 2 binary64) k)
#s(literal 2 binary64)
(.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
(*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
t
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))
(cos.f64 (+.f64 k k))
(+.f64 k k)

localize445.0ms (2.6%)

Memory

28.5MiB live, 723.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	3.2434983828851562	(.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
accuracy	9.181260855113353	(.f64 (.f64 (cos.f64 k) (*.f64 l l)) (/.f64 #s(literal 2 binary64) k))
accuracy	10.72550834003064	(/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))
accuracy	14.588982867176103	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))
accuracy	7.856252319743563	(/.f64 (pow.f64 t #s(literal 3/2 binary64)) l)
accuracy	10.063639054981257	(/.f64 (*.f64 k k) l)
accuracy	10.66275369256891	(.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))))
accuracy	25.499722186529358	#s(approx (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))
accuracy	0.25700855512664983	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
accuracy	4.174976065019523	(/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l)
accuracy	9.221034204058933	(.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))
accuracy	25.632698780631294	#s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l)))
accuracy	3.5991842683551285	(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))))
accuracy	3.8544964829967068	(/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))
accuracy	4.035302028554021	(.f64 t (.f64 k (.f64 k (.f64 k k))))
accuracy	15.309449042051906	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))))
accuracy	0.38752677515194117	(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))
accuracy	0.8408187469994353	(.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))
accuracy	6.2590765556749135	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))
accuracy	14.588982867176103	(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))

Samples

101.0ms	53×	3	valid
81.0ms	62×	2	valid
75.0ms	111×	0	valid
45.0ms	30×	1	valid

Compiler

Compiled 620 to 76 computations (87.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 226.0ms

ival-mult: 58.0ms (25.7% of total)

ival-div: 47.0ms (20.8% of total)

ival-cos: 28.0ms (12.4% of total)

adjust: 26.0ms (11.5% of total)

ival-add: 21.0ms (9.3% of total)

const: 10.0ms (4.4% of total)

ival-pow: 10.0ms (4.4% of total)

ival-sin: 8.0ms (3.5% of total)

ival-pow2: 5.0ms (2.2% of total)

ival-sub: 5.0ms (2.2% of total)

ival-tan: 5.0ms (2.2% of total)

ival-sqrt: 3.0ms (1.3% of total)

exact: 1.0ms (0.4% of total)

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

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

series351.0ms (2%)

Memory

-1.2MiB live, 193.1MiB allocated

Counts

25 → 780

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (patch (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) #<representation binary64>) () ())
#s(alt #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) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))) (patch #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) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (patch (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))) (patch (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) l) (patch (.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))) (patch (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l)) (patch (/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l) (patch (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) (patch #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l)) (patch (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))) (patch (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))))) (patch (/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))) (patch (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) (patch (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k) (patch (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (patch (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k)) (patch #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) (patch (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 k (.f64 k (.f64 k k)))) (patch (.f64 t (.f64 k (.f64 k (.f64 k k)))) #<representation binary64>) () ())
#s(alt #s(approx (* (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))) (patch #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 k k) l) (patch (/.f64 (.f64 k k) l) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (patch (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #<representation binary64>) () ())
#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow l 2) (* (pow k 4) t))) (taylor 0 k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4)) (taylor 0 k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4)) (taylor 0 k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4)) (taylor 0 k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))) (taylor -inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))) (taylor -inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))) (taylor -inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))))) (taylor -inf k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k)))))))) (taylor 0 t) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
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#s(alt (* t (- 1/2 (* 1/2 (cos (* 2 k))))) (taylor -inf t) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) t) (taylor 0 k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ t (* -1/3 (* (pow k 2) t)))) (taylor 0 k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t)))))) (taylor 0 k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t))))))) (taylor 0 k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (* 2 k))))) (taylor inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (* 2 k))))) (taylor inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (* 2 k))))) (taylor inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (* 2 k))))) (taylor inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))) (taylor -inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))) (taylor -inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))) (taylor -inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())
#s(alt (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))) (taylor -inf k) (#s(alt (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (patch (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #<representation binary64>) () ())) ())

Calls

195 calls:

Time	Variable		Point	Expression
17.0ms	k	@	inf	(/ (* 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)))
5.0ms	t	@	0	(* (/ (* 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/ (* l (cos k)) k))
3.0ms	l	@	inf	(* (* (* k k) (* k k)) (+ (* (* (sqrt (/ 1 t)) (/ (* k k) l)) (+ (* (* k k) 31/360) 1/6)) (/ (sqrt (/ 1 t)) l)))
2.0ms	l	@	0	(* (/ (* 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/ (* l (cos k)) k))
2.0ms	t	@	-inf	(* (* (* k k) (* k k)) (+ (* (* (sqrt (/ 1 t)) (/ (* k k) l)) (+ (* (* k k) 31/360) 1/6)) (/ (sqrt (/ 1 t)) l)))

simplify373.0ms (2.1%)

Memory

22.4MiB live, 683.4MiB allocated

Algorithm

1×	egg-herbie

Rules

8 828×	`lower-fma.f64`
8 828×	`lower-fma.f32`
7 980×	`lower-*.f64`
7 980×	`lower-*.f32`
3 942×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	13082
1	1261	12752
2	4992	12734
0	8172	12371

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 780

Calls

Call 1

Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (* 2 k))))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(- 1/2 (* 1/2 (cos (neg (* -2 k)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* (pow k 3) t)))
(/ (+ (* 2/3 (/ (* (pow k 2) l) t)) (* 2 (/ l t))) (pow k 3))
(/ (+ (* 2 (/ l t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/9 (/ l t)) (* 2/45 (/ l t))))) (* 2/3 (/ l t))))) (pow k 3))
(/ (+ (* 2 (/ l t)) (* (pow k 2) (+ (* 2/3 (/ l t)) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/315 (/ l t)) (+ (* 2/135 (/ l t)) (* 1/3 (+ (* -1/9 (/ l t)) (* 2/45 (/ l t)))))))) (* -2 (+ (* -1/9 (/ l t)) (* 2/45 (/ l t))))))))) (pow k 3))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ l (* k (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* -1/3 (/ (* (pow k 2) (pow l 2)) t)) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 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))
(/ (+ (* 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))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
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(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(/ (pow k 2) l)
(* 2 (/ (pow l 2) k))
(/ (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) k)
(/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2)))))) k)
(/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 2))))))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* 2 (/ (* (pow l 2) (cos k)) k))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* (pow k 2) t)
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))

Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 (.f64 k k) (.f64 k k)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (.f64 k k)) (fma.f64 (.f64 k k) (fma.f64 (/.f64 (.f64 l l) t) #s(literal 1/24 binary64) (fma.f64 (/.f64 (.f64 l l) t) #s(literal -2/45 binary64) (.f64 (/.f64 (.f64 l l) t) #s(literal -1/18 binary64)))) (/.f64 (.f64 (.f64 l l) #s(literal -1/6 binary64)) t)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 (.f64 k k) (.f64 k k)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))
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(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (neg (* -2 k)))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (- 1/2 (* 1/2 (cos (* 2 k))))))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (.f64 k (*.f64 k t))))
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(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
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(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (* (pow (sin k) 2) (pow (sqrt -1) 2))) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (neg.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64))) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (pow k 4) l) (sqrt (/ 1 t)))
(/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l)
(* (pow k 4) (+ (* 1/6 (* (/ (pow k 2) l) (sqrt (/ 1 t)))) (* (/ 1 l) (sqrt (/ 1 t)))))
(.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 k k) l) (/.f64 #s(literal 1 binary64) l))))
(* (pow k 4) (+ (* (/ 1 l) (sqrt (/ 1 t))) (* (pow k 2) (+ (* 31/360 (* (/ (pow k 2) l) (sqrt (/ 1 t)))) (* 1/6 (* (/ 1 l) (sqrt (/ 1 t))))))))
(.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 31/360 binary64) (/.f64 (*.f64 k k) l) (/.f64 #s(literal 1/6 binary64) l))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l)))
(* (pow k 4) (+ (* (/ 1 l) (sqrt (/ 1 t))) (* (pow k 2) (+ (* 1/6 (* (/ 1 l) (sqrt (/ 1 t)))) (* (pow k 2) (+ (* 173/5040 (* (/ (pow k 2) l) (sqrt (/ 1 t)))) (* 31/360 (* (/ 1 l) (sqrt (/ 1 t))))))))))
(.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 k k) l) (/.f64 #s(literal 1 binary64) l)) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (fma.f64 #s(literal 173/5040 binary64) (/.f64 (*.f64 k k) l) (/.f64 #s(literal 31/360 binary64) l))))))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(* (/ (* (pow k 2) (pow (sin k) 2)) (* l (cos k))) (sqrt (/ 1 t)))
(/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k)))
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(/ (pow k 2) l)
(/.f64 (*.f64 k k) l)
(* 2 (/ (pow l 2) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)
(/ (+ (* -1 (* (pow k 2) (pow l 2))) (* 2 (pow l 2))) k)
(/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)
(/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* 1/12 (* (pow k 2) (pow l 2)))))) k)
(/.f64 (fma.f64 #s(literal 2 binary64) (.f64 l l) (.f64 (.f64 k k) (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal 1/12 binary64) #s(literal -1 binary64))))) k)
(/ (+ (* 2 (pow l 2)) (* (pow k 2) (+ (* -1 (pow l 2)) (* (pow k 2) (+ (* -1/360 (* (pow k 2) (pow l 2))) (* 1/12 (pow l 2))))))) k)
(/.f64 (fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (.f64 (.f64 l l) (fma.f64 (.f64 k k) #s(literal -1/360 binary64) #s(literal 1/12 binary64))) (neg.f64 (.f64 l l))) (.f64 #s(literal 2 binary64) (.f64 l l))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* 2 (/ (* (pow l 2) (cos k)) k))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (*.f64 l (cos.f64 k)))) k)
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow k 2) t)
(.f64 k (.f64 k t))
(* (pow k 2) (+ t (* -1/3 (* (pow k 2) t))))
(.f64 (.f64 k k) (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(.f64 (.f64 k k) (fma.f64 k (.f64 k (.f64 t (fma.f64 k (*.f64 k #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))) t))
(* (pow k 2) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(.f64 (.f64 k k) (fma.f64 k (.f64 k (fma.f64 (.f64 k k) (.f64 t (fma.f64 (.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (*.f64 t #s(literal -1/3 binary64)))) t))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (* 2 k)))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* t (- 1/2 (* 1/2 (cos (neg (* -2 k))))))
(.f64 t (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))

rewrite725.0ms (4.2%)

Memory

-163.1MiB live, 726.0MiB allocated

Rules

4 938×	`lower-*.f32`
4 898×	`lower-*.f64`
4 084×	`lower-fma.f32`
4 080×	`lower-fma.f64`
3 736×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	624
0	125	582
1	483	504
2	3585	504
0	8470	500

Stop Event

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

Counts

25 → 667

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (.f64 k (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 k)) (/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))) (neg.f64 k)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))) (/.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k #s(literal 1/2 binary64))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 t)))) (/.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k #s(literal 1/2 binary64))) (.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 t)))))
(neg.f64 (/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))) (neg.f64 k)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))) k))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (/.f64 k (.f64 l (cos.f64 k))))
(/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (.f64 #s(literal 2 binary64) l)))
(/.f64 #s(literal 1 binary64) (.f64 k (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (.f64 #s(literal 2 binary64) l)) (/.f64 k (*.f64 l (cos.f64 k)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (*.f64 #s(literal 2 binary64) l))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64))))) k))
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(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (*.f64 k #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 k (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(/.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))
(/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))) k)
(/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))) (neg.f64 (neg.f64 k)))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 k (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64))))))))
(/.f64 (neg.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k #s(literal 1/2 binary64)))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))
(/.f64 (neg.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k #s(literal 1/2 binary64)))) (.f64 k (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (neg.f64 t))))
(/.f64 (neg.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))) (neg.f64 k))
(/.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))))))
(/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))
(/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k t)) (*.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (/.f64 k (.f64 l (cos.f64 k)))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) l) (neg.f64 (.f64 l (cos.f64 k)))) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (neg.f64 k)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 l (cos.f64 k))) (.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (.f64 #s(literal 2 binary64) l)) k))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 l (cos.f64 k)))) (.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (.f64 #s(literal 2 binary64) l)) (neg.f64 k)))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) (.f64 l (cos.f64 k))) (.f64 (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) k))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (/.f64 k (.f64 l (cos.f64 k)))))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) (neg.f64 (.f64 l (cos.f64 k)))) (.f64 (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (neg.f64 k)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 l (cos.f64 k))) (.f64 (*.f64 k t) k))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (.f64 k t) (/.f64 k (*.f64 l (cos.f64 k)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (neg.f64 (.f64 l (cos.f64 k)))) (.f64 (*.f64 k t) (neg.f64 k)))
(/.f64 (.f64 (.f64 l (cos.f64 k)) #s(literal 1 binary64)) (.f64 k (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (.f64 #s(literal 2 binary64) l))))
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(/.f64 (.f64 (.f64 l (cos.f64 k)) (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 k (*.f64 k t)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 l #s(literal -2 binary64))) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (*.f64 k t)))
(/.f64 (.f64 (neg.f64 (.f64 l (cos.f64 k))) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))
(/.f64 (.f64 (neg.f64 (.f64 l (cos.f64 k))) #s(literal 1 binary64)) (.f64 (neg.f64 k) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (.f64 #s(literal 2 binary64) l))))
(/.f64 (.f64 (neg.f64 (.f64 l (cos.f64 k))) (.f64 l #s(literal -2 binary64))) (.f64 (neg.f64 k) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))))
(/.f64 (.f64 (neg.f64 (.f64 l (cos.f64 k))) (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (.f64 (neg.f64 k) (*.f64 k t)))
(/.f64 (.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k #s(literal 1/2 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))
(/.f64 (.f64 (neg.f64 (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 k #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))
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(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) #s(literal 1 binary64)) (/.f64 k (*.f64 l (cos.f64 k))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (neg.f64 (*.f64 l (cos.f64 k)))) (neg.f64 k))
(/.f64 (.f64 (/.f64 (.f64 l (cos.f64 k)) k) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (*.f64 #s(literal 2 binary64) l)))
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(/.f64 (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) #s(literal 1 binary64)) k)
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(.f64 (.f64 (/.f64 #s(literal 2 binary64) k) (*.f64 l (cos.f64 k))) l)
(+.f64 (.f64 t #s(literal 1/2 binary64)) (.f64 t (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) t) (.f64 (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) t))
(fma.f64 #s(literal 1/2 binary64) t (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) t))
(fma.f64 t #s(literal 1/2 binary64) (.f64 t (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))
(/.f64 (.f64 t (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 t (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k)))))))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) t) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))))) t) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 t #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 t (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 t #s(literal 1/2 binary64)) (.f64 t #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 t (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (.f64 t (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))) (.f64 (.f64 t #s(literal 1/2 binary64)) (.f64 t (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) t) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) t) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) t) (.f64 #s(literal 1/2 binary64) t) (-.f64 (.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) t) (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) t)) (.f64 (.f64 #s(literal 1/2 binary64) t) (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) t)))))
(*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)
(*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))

eval183.0ms (1.1%)

Memory: 15.5MiB live, 407.4MiB allocated
Compiler: Compiled 40 387 to 2 285 computations (94.3% saved)

prune392.0ms (2.3%)

Memory

4.7MiB live, 641.7MiB allocated

Pruning

57 alts after pruning (56 fresh and 1 done)

	Pruned	Kept	Total
New	1 466	38	1 504
Fresh	16	18	34
Picked	4	1	5
Done	1	0	1
Total	1 487	57	1 544

Accuracy

97.0%

Counts

1 544 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	35.0%	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (.f64 (.f64 t (/.f64 (.f64 t t) l)) (.f64 (sin.f64 k) (tan.f64 k))) (/.f64 (.f64 k k) (.f64 t t))))
	82.6%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (.f64 l (cos.f64 k)))) l))
	72.3%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
	68.1%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 k (.f64 k (/.f64 (.f64 t #s(literal 1/6 binary64)) l)) (/.f64 t l)))) l))
	68.1%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t l)))) l))
	68.2%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k))))))
	26.0%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 (sin.f64 k) (.f64 (.f64 k k) (tan.f64 k))) (.f64 (.f64 l l) (.f64 t t))) (.f64 t (*.f64 t t))))
	30.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (/.f64 (sin.f64 k) l) (.f64 (.f64 k k) (tan.f64 k))) (.f64 l (.f64 t t)))))
	31.0%	(.f64 (.f64 (/.f64 l (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (sin.f64 k) (.f64 (.f64 k k) (tan.f64 k))) (*.f64 t t)))) l) #s(literal 2 binary64))
▶	41.9%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
	60.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
	77.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 #s(literal 2 binary64) l)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	73.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k))
	62.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
	63.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
	77.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 l (/.f64 #s(literal 2 binary64) k))) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	36.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	56.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	72.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64)))))))
	41.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
	79.0%	#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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (cos.f64 k))) k))
	59.5%	#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) t) (.f64 l l)) (.f64 k (.f64 k (*.f64 k k)))))
▶	64.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))))
	64.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
	64.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) t))))
	62.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.f64 k k)))))))
	61.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) k) k)))
	61.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (.f64 k k))))
	62.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
	28.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
	62.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) k))
	72.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64))))) k)))
▶	81.5%	#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) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k)))
	77.6%	#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) (fma.f64 (.f64 k t) #s(literal 1/2 binary64) (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 l (cos.f64 k)) k)))
▶	90.5%	#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) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (*.f64 l (cos.f64 k)) k)))
	81.5%	#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) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.f64 k)) k)))
	72.3%	#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) (.f64 t (.f64 k k))) (/.f64 l (*.f64 k k))))
	71.9%	#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) l) (.f64 k t)) (/.f64 l (.f64 k (*.f64 k k)))))
	69.6%	#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) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
	71.8%	#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) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
	61.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 t (.f64 k k))) (/.f64 (.f64 l l) (*.f64 k k))))
	66.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
	82.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (pow.f64 (/.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) l) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) k)) (/.f64 (.f64 l (cos.f64 k)) k)))
	82.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 #s(literal 2 binary64) k)) (/.f64 (.f64 l (cos.f64 k)) k)))
	81.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 l (.f64 k t)) (/.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) k)))
	85.4%	#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) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l k)) (/.f64 (.f64 l (cos.f64 k)) k)))
	80.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
	69.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) t)))
	72.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 k (*.f64 k k)))))
	70.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
	74.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
	70.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k k)) k))))
✓	68.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))))
▶	68.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))))
	66.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
	60.6%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.f64 k)) k)))
	80.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))

Compiler

Compiled 2 765 to 1 643 computations (40.6% saved)

simplify346.0ms (2%)

Memory

-22.0MiB live, 577.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (*.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
cost-diff	0	#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) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k)))
cost-diff	384	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t))
cost-diff	384	(.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))
cost-diff	0	(.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))
cost-diff	0	(.f64 l (.f64 #s(literal 2 binary64) (*.f64 l (cos.f64 k))))
cost-diff	0	(/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))
cost-diff	0	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))))
cost-diff	0	(/.f64 (*.f64 l l) t)
cost-diff	0	(.f64 (/.f64 (.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))
cost-diff	0	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
cost-diff	384	(/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k)))
cost-diff	0	(/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k))))))
cost-diff	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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))))
cost-diff	0	(*.f64 #s(literal 2 binary64) l)
cost-diff	0	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t k)))
cost-diff	0	#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) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (*.f64 l (cos.f64 k)) k)))
cost-diff	384	(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (*.f64 l (cos.f64 k)) k))

Rules

11 362×	`lower-fma.f32`
11 358×	`lower-fma.f64`
7 586×	`lower-*.f32`
7 550×	`lower-*.f64`
2 778×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	635
0	111	605
1	250	571
2	875	563
3	5020	563
4	7502	563
0	8447	563

Stop Event

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

Calls

Call 1

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

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

localize357.0ms (2.1%)

Memory

12.8MiB live, 453.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.38752677515194117	(.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))
accuracy	3.9773098351075706	(/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t))
accuracy	4.204160311416235	(/.f64 (*.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
accuracy	14.588982867176103	(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	0.125	(*.f64 l (cos.f64 k))
accuracy	0.8408187469994353	(.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))
accuracy	14.588982867176103	(fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
accuracy	17.64290584012949	(/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))
accuracy	8.138895761190065	(.f64 (/.f64 (.f64 l l) t) (fma.f64 k (*.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))
accuracy	10.919867255464037	(/.f64 (*.f64 l l) t)
accuracy	14.657793750896767	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
accuracy	22.705673836352762	(/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k)))
accuracy	3.5991842683551285	(.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k))))))
accuracy	3.8544964829967068	(/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))
accuracy	4.035302028554021	(.f64 t (.f64 (.f64 k k) (.f64 k k)))
accuracy	15.309449042051906	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))))
accuracy	0.285820019536884	(pow.f64 (sin.f64 k) #s(literal 2 binary64))
accuracy	0.38752677515194117	(.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (*.f64 l (cos.f64 k)) k))
accuracy	0.8408187469994353	(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))
accuracy	6.2590765556749135	(/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (*.f64 t k)))

Samples

80.0ms	53×	3	valid
73.0ms	62×	2	valid
68.0ms	111×	0	valid
25.0ms	30×	1	valid

Compiler

Compiled 505 to 69 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 190.0ms

ival-mult: 64.0ms (33.7% of total)

ival-div: 32.0ms (16.9% of total)

ival-cos: 30.0ms (15.8% of total)

adjust: 23.0ms (12.1% of total)

ival-pow2: 8.0ms (4.2% of total)

ival-sin: 8.0ms (4.2% of total)

ival-add: 7.0ms (3.7% of total)

const: 6.0ms (3.2% of total)

ival-tan: 5.0ms (2.6% of total)

ival-sub: 3.0ms (1.6% of total)

ival-pow: 3.0ms (1.6% of total)

exact: 1.0ms (0.5% of total)

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

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

series122.0ms (0.7%)

Memory

-3.9MiB live, 113.2MiB allocated

Counts

25 → 732

Calls

Call 1

Inputs
#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())
#s(alt #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) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))) (patch #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) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (*.f64 l (cos.f64 k)) k))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (patch (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) l) (patch (.f64 #s(literal 2 binary64) l) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k))))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k))))))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))) (patch (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))) #<representation binary64>) () ())
#s(alt (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k))))) (patch (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))) (patch (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k)))) (patch #s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (patch (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 l l) t) (patch (/.f64 (.f64 l l) t) #<representation binary64>) () ())
#s(alt #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))) (patch #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))) (patch (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))) #<representation binary64>) () ())
#s(alt (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (patch (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k))) (patch (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (patch (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) #<representation binary64>) () ())
#s(alt #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) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) (patch #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) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k)) (patch (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k)) #<representation binary64>) () ())
#s(alt (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 k) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 t (.f64 (.f64 k k) (.f64 k k))) (patch (.f64 t (.f64 (.f64 k k) (.f64 k k))) #<representation binary64>) () ())
#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())
#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())

Outputs
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor 0 l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2))))) (taylor -inf l) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ (pow l 2) (* (pow k 4) t))) (taylor 0 k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4)) (taylor 0 k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4)) (taylor 0 k) (#s(alt (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) (patch (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k)) #<representation binary64>) () ())) ())
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#s(alt (+ 1/2 (* -1/2 (cos (* 2 k)))) (taylor inf k) (#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* 2 k)))) (taylor inf k) (#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (* 2 k)))) (taylor inf k) (#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* -1/2 (cos (neg (* -2 k))))) (taylor -inf k) (#s(alt (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (patch (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 3) t) (taylor 0 k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 3) (+ t (* -1/3 (* (pow k 2) t)))) (taylor 0 k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t)))))) (taylor 0 k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t))))))) (taylor 0 k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k))))))) (taylor -inf k) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor 0 t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* k (* t (+ 1/2 (* -1/2 (cos (* 2 k)))))) (taylor -inf t) (#s(alt (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) (patch (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor 0 l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor 0 l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor 0 l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor 0 l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf l) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt l (taylor 0 k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (+ l (* -1/2 (* (pow k 2) l))) (taylor 0 k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l))))) (taylor 0 k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l)))))) (taylor 0 k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())
#s(alt (* l (cos k)) (taylor -inf k) (#s(alt (.f64 l (cos.f64 k)) (patch (.f64 l (cos.f64 k)) #<representation binary64>) () ())) ())

Calls

183 calls:

Time	Variable		Point	Expression
17.0ms	l	@	0	(/ (* l (* 2 (* l (cos k)))) (* k (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k t))))
2.0ms	t	@	0	(/ (* l (* 2 (* l (cos k)))) (* k (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k t))))
2.0ms	k	@	-inf	(/ (* l (* 2 (* l (cos k)))) (* k (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k t))))
1.0ms	k	@	inf	(/ (* l (* 2 (* l (cos k)))) (* k (* (+ (* (cos (+ k k)) -1/2) 1/2) (* k t))))
1.0ms	l	@	inf	(/ (/ (* 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t))

simplify514.0ms (3%)

Memory

-13.1MiB live, 607.7MiB allocated

Algorithm

1×	egg-herbie

Rules

11 346×	`lower-fma.f64`
11 346×	`lower-fma.f32`
7 702×	`lower-*.f64`
7 702×	`lower-*.f32`
5 178×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	291	11230
1	946	11120
2	3628	10710
0	8357	10396

Stop Event

1×	iter limit
1×	node limit

Counts

732 → 731

Calls

Call 1

Inputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(/ (+ (* 2/3 (* (pow k 2) l)) (* 2 l)) (pow k 2))
(/ (+ (* 2 l) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/9 l) (* 2/45 l)))) (* 2/3 l)))) (pow k 2))
(/ (+ (* 2 l) (* (pow k 2) (+ (* 2/3 l) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/315 l) (+ (* 2/135 l) (* 1/3 (+ (* -1/9 l) (* 2/45 l))))))) (* -2 (+ (* -1/9 l) (* 2/45 l)))))))) (pow k 2))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* (pow k 3) t)
(* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(* k (* t (pow (sin k) 2)))
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(pow (sin k) 2)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(* (pow k 4) t)
(pow k 2)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(* (pow k 3) t)
(* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
l
(+ l (* -1/2 (* (pow k 2) l)))
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))
(* l (cos k))

Outputs
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (pow l 2) (* (pow k 4) t)))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 t (.f64 (.f64 k k) (.f64 k k))))
(/ (+ (* 2 (* (pow k 2) (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))) (* 2 (/ (pow l 2) t))) (pow k 4))
(/.f64 (.f64 (.f64 l (/.f64 l t)) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))) (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))) (pow k 4))
(/.f64 (fma.f64 (.f64 k k) (.f64 (.f64 k k) (.f64 #s(literal 2 binary64) (fma.f64 (.f64 l (/.f64 l t)) #s(literal -1/360 binary64) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/18 binary64))))) (.f64 (.f64 l (/.f64 l t)) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64)))) (.f64 (.f64 k k) (*.f64 k k)))
(/ (+ (* 2 (/ (pow l 2) t)) (* (pow k 2) (+ (* 2 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* (pow k 2) (+ (* 2 (* (pow k 2) (- (* -1/720 (/ (pow l 2) t)) (+ (* -1/3 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t))))) (+ (* -1/315 (/ (pow l 2) t)) (* 2/45 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t))))))))) (* 2 (- (* 1/24 (/ (pow l 2) t)) (+ (* -1/3 (- (* -1/2 (/ (pow l 2) t)) (* -1/3 (/ (pow l 2) t)))) (* 2/45 (/ (pow l 2) t)))))))))) (pow k 4))
(/.f64 (fma.f64 (.f64 l (/.f64 l t)) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64)) (.f64 (.f64 k k) (.f64 (.f64 #s(literal 2 binary64) (.f64 k k)) (fma.f64 (.f64 k k) (-.f64 (.f64 (.f64 l (/.f64 l t)) #s(literal -1/720 binary64)) (fma.f64 #s(literal -1/3 binary64) (fma.f64 (.f64 l (/.f64 l t)) #s(literal -1/360 binary64) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/18 binary64))) (.f64 (.f64 l (/.f64 l t)) #s(literal -2/189 binary64)))) (fma.f64 (.f64 l (/.f64 l t)) #s(literal -1/360 binary64) (.f64 (.f64 l (/.f64 l t)) #s(literal -1/18 binary64))))))) (.f64 (.f64 k k) (*.f64 k k)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
(/.f64 (.f64 (.f64 l l) (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) t)))
(* 2 (/ (* (pow l 2) (cos k)) (* (pow k 2) (* t (pow (sin k) 2)))))
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(/ (+ (* 2 l) (* (pow k 2) (+ (* 2/3 l) (* (pow k 2) (+ (* -2 (* (pow k 2) (+ (* -1/315 l) (+ (* 2/135 l) (* 1/3 (+ (* -1/9 l) (* 2/45 l))))))) (* -2 (+ (* -1/9 l) (* 2/45 l)))))))) (pow k 2))
(/.f64 (fma.f64 #s(literal 2 binary64) l (.f64 (.f64 k k) (fma.f64 (.f64 (.f64 k k) #s(literal -2 binary64)) (fma.f64 k (.f64 k (.f64 l #s(literal -2/189 binary64))) (.f64 l #s(literal -1/15 binary64))) (.f64 l #s(literal 2/3 binary64))))) (*.f64 k k))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (* 2 k))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 2 (/ l (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(/.f64 (.f64 #s(literal 2 binary64) l) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (pow k 3) t)
(.f64 k (.f64 (*.f64 k k) t))
(* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))
(.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (*.f64 t #s(literal -1/3 binary64)) t)))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t)))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(.f64 (.f64 k (.f64 k k)) (fma.f64 k (.f64 k (fma.f64 (.f64 k k) (.f64 t (fma.f64 (.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (.f64 t #s(literal -1/3 binary64)))) t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(* k (* t (pow (sin k) 2)))
(.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 k t))
(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(.f64 k (fma.f64 k (.f64 (*.f64 k k) #s(literal -1/3 binary64)) k))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(.f64 k (.f64 k (fma.f64 k (.f64 k (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(.f64 (.f64 k k) (fma.f64 k (.f64 k (fma.f64 (.f64 k k) (fma.f64 (*.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(pow (sin k) 2)
(pow.f64 (sin.f64 k) #s(literal 2 binary64))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(* (pow k 4) t)
(.f64 t (.f64 (.f64 k k) (.f64 k k)))
(pow k 2)
(*.f64 k k)
(* (pow k 2) (+ 1 (* -1/3 (pow k 2))))
(.f64 k (fma.f64 k (.f64 (*.f64 k k) #s(literal -1/3 binary64)) k))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* 2/45 (pow k 2)) 1/3))))
(.f64 k (.f64 k (fma.f64 k (.f64 k (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64))) #s(literal 1 binary64))))
(* (pow k 2) (+ 1 (* (pow k 2) (- (* (pow k 2) (+ 2/45 (* -1/315 (pow k 2)))) 1/3))))
(.f64 (.f64 k k) (fma.f64 k (.f64 k (fma.f64 (.f64 k k) (fma.f64 (*.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 k))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 k)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* (pow k 3) t)
(.f64 k (.f64 (*.f64 k k) t))
(* (pow k 3) (+ t (* -1/3 (* (pow k 2) t))))
(.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (*.f64 t #s(literal -1/3 binary64)) t)))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* 2/45 (* (pow k 2) t))))))
(.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 (.f64 k k) t) (fma.f64 (.f64 k k) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) t)))
(* (pow k 3) (+ t (* (pow k 2) (+ (* -1/3 t) (* (pow k 2) (+ (* -1/315 (* (pow k 2) t)) (* 2/45 t)))))))
(.f64 (.f64 k (.f64 k k)) (fma.f64 k (.f64 k (fma.f64 (.f64 k k) (.f64 t (fma.f64 (.f64 k k) #s(literal -1/315 binary64) #s(literal 2/45 binary64))) (.f64 t #s(literal -1/3 binary64)))) t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (neg (* -2 k)))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* k (* t (+ 1/2 (* -1/2 (cos (* 2 k))))))
(.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 k #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 k t))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
l
(+ l (* -1/2 (* (pow k 2) l)))
(fma.f64 l (.f64 (.f64 k k) #s(literal -1/2 binary64)) l)
(+ l (* (pow k 2) (+ (* -1/2 l) (* 1/24 (* (pow k 2) l)))))
(fma.f64 (.f64 l (.f64 k k)) (fma.f64 (*.f64 k k) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) l)
(+ l (* (pow k 2) (+ (* -1/2 l) (* (pow k 2) (+ (* -1/720 (* (pow k 2) l)) (* 1/24 l))))))
(fma.f64 (.f64 k k) (fma.f64 (.f64 k k) (.f64 l (fma.f64 (.f64 k k) #s(literal -1/720 binary64) #s(literal 1/24 binary64))) (*.f64 l #s(literal -1/2 binary64))) l)
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))
(* l (cos k))
(*.f64 l (cos.f64 k))

rewrite486.0ms (2.8%)

Memory

35.4MiB live, 658.0MiB allocated

Rules

6 136×	`lower-*.f32`
6 100×	`lower-*.f64`
4 506×	`lower-/.f32`
4 490×	`lower-/.f64`
2 414×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	482
0	111	460
1	434	434
2	3325	434
0	8915	434

Stop Event

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

Counts

25 → 695

Calls

Call 1

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

Outputs
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)) (neg.f64 k))) (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 k t)) (neg.f64 k))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (.f64 k t))) k)) (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 k t))) k)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k (.f64 k t))))) (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k (*.f64 k t))))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t))) (/.f64 k (*.f64 l (cos.f64 k))))
(/.f64 (.f64 l (/.f64 (cos.f64 k) k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (*.f64 #s(literal 2 binary64) l))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (.f64 #s(literal 2 binary64) l))) (/.f64 k (.f64 l (cos.f64 k)))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (.f64 #s(literal 2 binary64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k (.f64 k t))) (.f64 l (.f64 l (*.f64 #s(literal 2 binary64) (cos.f64 k))))))
(/.f64 #s(literal 1 binary64) (/.f64 k (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)) (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (/.f64 (cos.f64 k) k))))))
(/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k (*.f64 k t))))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) (.f64 l (cos.f64 k))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 k t)) (neg.f64 k)))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) (.f64 l (cos.f64 k))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 k t))) k))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) (.f64 l (cos.f64 k))) (neg.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k (*.f64 k t)))))
(/.f64 (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t))) k)
(/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (/.f64 (cos.f64 k) k)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) l) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)) (/.f64 k (*.f64 l (cos.f64 k)))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 l (cos.f64 k))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (*.f64 #s(literal 2 binary64) l))) k))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (cos.f64 k) (neg.f64 l))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (*.f64 #s(literal 2 binary64) l))) (neg.f64 k)))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (.f64 k t))) (/.f64 k (*.f64 l (cos.f64 k)))))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) (.f64 (cos.f64 k) (neg.f64 l))) (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 k t))) (neg.f64 k)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 l (cos.f64 k))) (.f64 k (.f64 k t)))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) #s(literal 1 binary64)) (.f64 (.f64 k t) (/.f64 k (.f64 l (cos.f64 k)))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 (cos.f64 k) (neg.f64 l))) (.f64 (.f64 k t) (neg.f64 k)))
(/.f64 (.f64 (.f64 l (cos.f64 k)) #s(literal 1 binary64)) (.f64 k (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (*.f64 #s(literal 2 binary64) l)))))
(/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 l #s(literal -2 binary64))) (.f64 k (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 k t)))))
(/.f64 (.f64 (.f64 l (cos.f64 k)) (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (.f64 k (.f64 k t)))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) l)) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 k t))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 l #s(literal -2 binary64))) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 k t)))))
(/.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (.f64 (/.f64 k (.f64 l (cos.f64 k))) (.f64 k t)))
(/.f64 (.f64 (.f64 (cos.f64 k) (neg.f64 l)) (.f64 #s(literal 2 binary64) l)) (.f64 (neg.f64 k) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 k t))))
(/.f64 (.f64 (.f64 (cos.f64 k) (neg.f64 l)) #s(literal 1 binary64)) (.f64 (neg.f64 k) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (*.f64 #s(literal 2 binary64) l)))))
(/.f64 (.f64 (.f64 (cos.f64 k) (neg.f64 l)) (.f64 l #s(literal -2 binary64))) (.f64 (neg.f64 k) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (*.f64 k t)))))
(/.f64 (.f64 (.f64 (cos.f64 k) (neg.f64 l)) (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (.f64 (neg.f64 k) (.f64 k t)))
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(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (/.f64 (cos.f64 k) k))))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (.f64 k t))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t))) #s(literal 1 binary64)) (/.f64 k (.f64 l (cos.f64 k))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t))) (.f64 (cos.f64 k) (neg.f64 l))) (neg.f64 k))
(/.f64 (.f64 (.f64 l (/.f64 (cos.f64 k) k)) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (.f64 #s(literal 2 binary64) l))))
(/.f64 (.f64 (.f64 l (/.f64 (cos.f64 k) k)) (.f64 l #s(literal -2 binary64))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (.f64 k t))))
(/.f64 (.f64 (.f64 l (/.f64 (cos.f64 k) k)) (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) (*.f64 k t))
(/.f64 (.f64 (.f64 l #s(literal -2 binary64)) (.f64 l (/.f64 (cos.f64 k) k))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (neg.f64 (.f64 k t))))
(/.f64 (.f64 (/.f64 (.f64 #s(literal 2 binary64) l) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (.f64 l (/.f64 (cos.f64 k) k))) (*.f64 k t))
(/.f64 (.f64 (.f64 (cos.f64 k) (neg.f64 l)) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)))) (neg.f64 k))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (/.f64 (cos.f64 k) k)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) (*.f64 k t))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (/.f64 (cos.f64 k) k)))) (.f64 k t)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))
(/.f64 (/.f64 (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (/.f64 (cos.f64 k) k)))) (.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) t)) k)
(pow.f64 (.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (.f64 #s(literal 2 binary64) l))) (/.f64 k (.f64 l (cos.f64 k)))) #s(literal -1 binary64))
(pow.f64 (.f64 (/.f64 k (.f64 l (cos.f64 k))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (/.f64 (.f64 k t) (.f64 #s(literal 2 binary64) l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k (.f64 k t))) (.f64 l (.f64 l (*.f64 #s(literal 2 binary64) (cos.f64 k))))) #s(literal -1 binary64))
(pow.f64 (/.f64 k (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t)) (.f64 #s(literal 2 binary64) (.f64 l (.f64 l (/.f64 (cos.f64 k) k))))) #s(literal -1 binary64))
(.f64 #s(literal 2 binary64) (.f64 (/.f64 l (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k t))) (.f64 l (/.f64 (cos.f64 k) k))))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k)))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 k (*.f64 k t)))))
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k)))))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/4 binary64)))) (fma.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal -1/4 binary64))) #s(literal -1 binary64))
(.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) (-.f64 #s(literal 1/4 binary64) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/4 binary64))))))
(.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 k t) #s(literal 1/2 binary64)) (.f64 (.f64 k t) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))
(+.f64 (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (.f64 (*.f64 k t) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 k t)) (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (*.f64 k t)))
(+.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)) (.f64 #s(literal 1/2 binary64) (*.f64 k t)))
(fma.f64 #s(literal 1/2 binary64) (.f64 k t) (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)))
(fma.f64 (.f64 k t) #s(literal 1/2 binary64) (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))
(fma.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 (.f64 k t) #s(literal 1/2 binary64)))
(fma.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t) (.f64 #s(literal 1/2 binary64) (.f64 k t)))
(/.f64 (.f64 (.f64 k t) (fma.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (.f64 k t) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal -1/4 binary64))) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 k k)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (.f64 k t)) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 k k)) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) (+.f64 k k))))) #s(literal -1/4 binary64)) (.f64 k t)) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 k t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 k t) #s(literal 1/2 binary64)) (.f64 (.f64 k t) #s(literal 1/2 binary64)) (-.f64 (.f64 (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))) (.f64 (.f64 (.f64 k t) #s(literal 1/2 binary64)) (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 k t) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (-.f64 (.f64 (.f64 (.f64 k t) #s(literal 1/2 binary64)) (.f64 (.f64 k t) #s(literal 1/2 binary64))) (.f64 (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))) (.f64 (.f64 k t) #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 k t)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 k t)) (.f64 #s(literal 1/2 binary64) (.f64 k t)) (-.f64 (.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)) (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 k t)) (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 k t)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)) (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)) (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 k t)) (.f64 #s(literal 1/2 binary64) (.f64 k t))) (.f64 (.f64 (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64)) (.f64 k t)) (.f64 #s(literal 1/2 binary64) (.f64 k t))))))
(.f64 k (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 t (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))
(.f64 (.f64 k t) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(.f64 (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t)
(.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)
(*.f64 l (cos.f64 k))
(*.f64 (cos.f64 k) l)

eval267.0ms (1.5%)

Memory: -1.9MiB live, 339.8MiB allocated
Compiler: Compiled 37 311 to 1 995 computations (94.7% saved)

prune441.0ms (2.5%)

Memory

-6.4MiB live, 424.5MiB allocated

Pruning

58 alts after pruning (55 fresh and 3 done)

	Pruned	Kept	Total
New	1 514	21	1 535
Fresh	17	34	51
Picked	3	2	5
Done	0	1	1
Total	1 534	58	1 592

Accuracy

97.5%

Counts

1 592 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.6%	(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64))))) (.f64 l (cos.f64 k)))) l))
	68.2%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 (.f64 k k) (sqrt.f64 (/.f64 #s(literal 1 binary64) t)))) (.f64 l (cos.f64 k))))))
	26.0%	(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (.f64 (sin.f64 k) (.f64 (.f64 k k) (tan.f64 k))) (.f64 (.f64 l l) (.f64 t t))) (.f64 t (*.f64 t t))))
	30.0%	(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (/.f64 (sin.f64 k) l) (.f64 (.f64 k k) (tan.f64 k))) (.f64 l (.f64 t t)))))
	31.0%	(.f64 (.f64 (/.f64 l (.f64 (.f64 t (.f64 t t)) (/.f64 (.f64 (sin.f64 k) (.f64 (.f64 k k) (tan.f64 k))) (*.f64 t t)))) l) #s(literal 2 binary64))
	45.3%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
	40.1%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
	47.2%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
	41.9%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
	42.1%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
	42.6%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 k (*.f64 k k))))))
	11.8%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k k) (*.f64 k k))))
	49.3%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
	66.2%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
	29.2%	#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
	60.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
	77.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 #s(literal 2 binary64) l)) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	73.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))) k))
	77.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 l (/.f64 #s(literal 2 binary64) k))) (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	36.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	56.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
	72.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(literal 1 binary64) k) (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64)))))))
	64.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
	56.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))))
	61.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) k) k)))
	61.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 (.f64 t (.f64 k k)) (.f64 k k))))
	62.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 #s(literal 2 binary64) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
	62.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) k))
	72.0%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64))))) k)))
	73.4%	#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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
	74.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
	77.6%	#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) (fma.f64 (.f64 k t) #s(literal 1/2 binary64) (.f64 (.f64 k t) (.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 l (cos.f64 k)) k)))
	81.5%	#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) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (/.f64 (cos.f64 k) k))))
✓	90.5%	#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) (.f64 (pow.f64 (sin.f64 k) #s(literal 2 binary64)) (.f64 t k))) (/.f64 (*.f64 l (cos.f64 k)) k)))
	72.3%	#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) (.f64 t (.f64 k k))) (/.f64 l (*.f64 k k))))
	85.4%	#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) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (/.f64 (cos.f64 k) k)) t)))
	81.4%	#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) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k t))))
	71.9%	#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) l) (.f64 k t)) (/.f64 l (.f64 k (*.f64 k k)))))
	71.8%	#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) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
	57.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
	61.5%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) (.f64 t (.f64 k k))) (/.f64 (.f64 l l) (*.f64 k k))))
	66.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(literal 2 binary64) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
	82.9%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 #s(literal 2 binary64) k)) (/.f64 (.f64 l (cos.f64 k)) k)))
	81.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 (/.f64 l (.f64 k t)) (/.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) k)))
	85.4%	#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) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l k)) (/.f64 (.f64 l (cos.f64 k)) k)))
	82.9%	#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) k) (/.f64 (/.f64 l (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
	74.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
	80.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
	69.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) t)))
	72.2%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 k (*.f64 k k)))))
	70.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))))))
	74.1%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
	70.3%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k k)) k))))
✓	68.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l (.f64 t (.f64 k (.f64 k (.f64 k k)))))))
✓	68.4%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))))
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	52.7%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
	80.8%	#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))

Compiler

Compiled 4 132 to 1 351 computations (67.3% saved)

regimes301.0ms (1.7%)

Memory

-7.0MiB live, 256.5MiB allocated

Counts

120 → 2

Calls

Call 1

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

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

Calls

6 calls:

61.0ms	(.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)))
51.0ms	t
48.0ms	(/.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))))
42.0ms	k
36.0ms	l

Results

Accuracy	Segments	Branch
90.5%	1	`t`
95.7%	3	`l`
96.3%	2	`k`
90.5%	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))))`
90.5%	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)))`
95.7%	3	`(*.f64 l l)`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes41.0ms (0.2%)

Memory

-20.3MiB live, 33.4MiB allocated

Counts

77 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t l)))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 k (.f64 k (/.f64 (.f64 t #s(literal 1/6 binary64)) l)) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
#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) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k t))))
#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) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (/.f64 (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (cos.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) l) k) (/.f64 (.f64 l (cos.f64 k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t 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) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.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 l l)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64))))) 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) k) (.f64 (cos.f64 k) (.f64 l l))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 k k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l k)) (/.f64 (.f64 l (cos.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 (.f64 k t)) (/.f64 #s(literal 2 binary64) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.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 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 #s(literal 2 binary64) k)) (/.f64 (.f64 l (cos.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(approx (/ (* 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (*.f64 l (fma.f64 (*.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (*.f64 k k))) (*.f64 k t)) (/.f64 (*.f64 l (cos.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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l k)) (/.f64 (*.f64 l (cos.f64 k)) k)))

Calls

1 calls:

37.0ms

Results

Accuracy	Segments	Branch
96.3%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes72.0ms (0.4%)

Memory

34.5MiB live, 72.0MiB allocated

Counts

74 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
#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) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k t))))
#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) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (/.f64 (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (cos.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) l) k) (/.f64 (.f64 l (cos.f64 k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t 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) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.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 l l)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 #s(literal 2 binary64) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sin.f64 k) (tan.f64 k)) (/.f64 t (/.f64 (.f64 l l) (*.f64 k #s(literal 1/2 binary64))))) 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) k) (.f64 (cos.f64 k) (.f64 l l))) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 l (cos.f64 k)) (.f64 #s(literal 2 binary64) l)) (.f64 k k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.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(approx (/ (* 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (*.f64 l (fma.f64 (*.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (*.f64 k k))) (*.f64 k t)) (/.f64 (*.f64 l (cos.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) l) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (*.f64 t k))) (/.f64 (*.f64 l (cos.f64 k)) k)))

Calls

3 calls:

29.0ms	(*.f64 l l)
19.0ms	l
19.0ms	k

Results

Accuracy	Segments	Branch
90.2%	3	`l`
90.2%	3	`(*.f64 l l)`
92.4%	2	`k`

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes39.0ms (0.2%)

Memory

-7.0MiB live, 32.4MiB allocated

Counts

69 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t l)))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 k (.f64 k (/.f64 (.f64 t #s(literal 1/6 binary64)) l)) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
#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) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k t))))
#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) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (/.f64 (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (cos.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) l) k) (/.f64 (.f64 l (cos.f64 k)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k)))))

Outputs

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
92.4%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes35.0ms (0.2%)

Memory

-6.9MiB live, 31.4MiB allocated

Counts

66 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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 #s(literal 2 binary64) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
#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) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k t))))
#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) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.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(approx (/ (* 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (*.f64 l (fma.f64 (*.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (*.f64 k k))) (*.f64 k t)) (/.f64 (*.f64 l (cos.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) l) (*.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.f64 k)) k)))

Calls

1 calls:

31.0ms

Results

Accuracy	Segments	Branch
92.4%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes36.0ms (0.2%)

Memory

-12.8MiB live, 28.8MiB allocated

Counts

65 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.f64 k k))) (/.f64 l (*.f64 k k))))
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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 #s(literal 2 binary64) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
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(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
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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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
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#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
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#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))
#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) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k t))))

Outputs

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

Calls

1 calls:

33.0ms

Results

Accuracy	Segments	Branch
92.3%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes81.0ms (0.5%)

Memory

-0.4MiB live, 76.1MiB allocated

Counts

64 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
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(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
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(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 k (.f64 k (/.f64 (.f64 t #s(literal 1/6 binary64)) l)) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (cos.f64 k) (/.f64 (/.f64 (.f64 l l) (.f64 k #s(literal 1/2 binary64))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) l) (/.f64 (/.f64 (.f64 l (cos.f64 k)) k) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k 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) k) (/.f64 (.f64 l (.f64 l (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))

Outputs

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

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

Calls

4 calls:

32.0ms	t
17.0ms	k
15.0ms	(/.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))))
14.0ms	(.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
80.8%	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))))`
80.8%	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)))`
85.3%	2	`t`
91.7%	2	`k`

Compiler

Compiled 62 to 43 computations (30.6% saved)

regimes108.0ms (0.6%)

Memory

1.7MiB live, 81.1MiB allocated

Counts

60 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t l)))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 k (.f64 k (/.f64 (.f64 t #s(literal 1/6 binary64)) l)) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l (.f64 #s(literal 2 binary64) (.f64 l (cos.f64 k)))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 (.f64 t (.f64 k k)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 k (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 (.f64 t (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k))))) k))))

Outputs

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

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

Calls

4 calls:

55.0ms	(*.f64 l l)
18.0ms	t
16.0ms	l
16.0ms	k

Results

Accuracy	Segments	Branch
79.4%	2	`t`
80.7%	2	`l`
80.7%	2	`(*.f64 l l)`
85.0%	2	`k`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes19.0ms (0.1%)

Memory

-4.1MiB live, 34.4MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t l)))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 k (.f64 k (/.f64 (.f64 t #s(literal 1/6 binary64)) l)) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))))))

Outputs

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

Calls

1 calls:

14.0ms

Results

Accuracy	Segments	Branch
85.0%	2	`k`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes130.0ms (0.7%)

Memory

27.7MiB live, 103.7MiB allocated

Counts

52 → 2

Calls

Call 1

Inputs
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) (.f64 l l)) (.f64 t (.f64 (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k 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) (.f64 l l)) (.f64 (.f64 t (.f64 k (.f64 k 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) (.f64 l l)) (.f64 (.f64 (.f64 t (.f64 k k)) 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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 (/.f64 l (.f64 k (.f64 k (*.f64 k k)))) 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) (.f64 t (.f64 k k))) (/.f64 (.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 #s(literal 2 binary64) l) (.f64 k t)) (/.f64 l (.f64 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) l) (.f64 k (.f64 k (*.f64 k k)))) (/.f64 l t)))
#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) (.f64 t (.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))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) (.f64 k (.f64 k (*.f64 k t))))) 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) t) (.f64 l l)) (.f64 k (.f64 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 k k) (.f64 k k)) (/.f64 t (*.f64 l l)))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 t (.f64 k (.f64 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 l (.f64 #s(literal 2 binary64) l)) t) (.f64 k k)) (.f64 k k)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (/.f64 t l))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (/.f64 (.f64 (.f64 k k) t) l) (.f64 k k))) l))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l (/.f64 l t)) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 #s(approx (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (/.f64 (.f64 l (.f64 l (.f64 (.f64 k k) #s(literal -1/3 binary64)))) t)) (.f64 (.f64 k 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 l l) t) (fma.f64 (.f64 k k) #s(literal -1/3 binary64) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (.f64 l (.f64 (/.f64 l t) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) (.f64 k (.f64 k (.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) l) (/.f64 l t)) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (/.f64 (.f64 l l) t) (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64))) (.f64 (.f64 k k) (.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 k (.f64 k (*.f64 k k))))) t))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (.f64 (.f64 l l) (/.f64 (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)) t)) k) (.f64 k (*.f64 k k))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) (/.f64 (/.f64 (/.f64 (.f64 l (.f64 l (fma.f64 k (.f64 k #s(literal -1/3 binary64)) #s(literal 2 binary64)))) (.f64 k (*.f64 k t))) k) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (.f64 (fma.f64 (.f64 k k) #s(literal 1/6 binary64) #s(literal 1 binary64)) (/.f64 t l)))) l))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 k (.f64 k (/.f64 (.f64 t #s(literal 1/6 binary64)) l)) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (/ (* (* (cos k) (* l l)) (/ 2 k)) (* t (- 1/2 (* 1/2 (cos (+ k k)))))) (/.f64 (fma.f64 (.f64 k k) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) t) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) t)) (.f64 k (*.f64 k k)))) k))
(/.f64 #s(literal 2 binary64) (/.f64 #s(approx (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 k k) (.f64 (/.f64 t l) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64))) (/.f64 t l)))) l))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (.f64 l #s(approx ( 2 (* l (cos k))) (.f64 #s(literal 2 binary64) l))) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k 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) (.f64 l (.f64 l (cos.f64 k)))) (.f64 k (.f64 k (.f64 t #s(approx (pow (sin k) 2) (*.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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 k (.f64 k (.f64 k t))))) (/.f64 (.f64 l (cos.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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) #s(approx ( t (- 1/2 (* 1/2 (cos (+ k k))))) (.f64 k (.f64 k t)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 (.f64 (.f64 (cos.f64 k) (.f64 l l)) (/.f64 #s(literal 2 binary64) k)) (.f64 t #s(approx (- 1/2 (* 1/2 (cos (+ k k)))) (*.f64 k k)))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 #s(literal 2 binary64) (.f64 l l)) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))) k))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 (/.f64 #s(approx (* (* (cos k) (* l l)) (/ 2 k)) (/.f64 (.f64 (.f64 l l) (fma.f64 k (neg.f64 k) #s(literal 2 binary64))) k)) (.f64 t (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k 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) l) #s(approx (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k)) (.f64 (.f64 k k) (.f64 k (fma.f64 (.f64 k k) (.f64 t #s(literal -1/3 binary64)) t))))) (/.f64 (.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (* k t)) (/.f64 (.f64 (/.f64 l t) (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k (.f64 k k)))) (/.f64 (*.f64 l (cos.f64 k)) k)))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 t (.f64 t t)) (.f64 #s(approx (/ (sin k) (* l l)) (/.f64 k (.f64 l l))) (.f64 (tan.f64 k) (/.f64 (.f64 k k) (.f64 t t))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (/.f64 (.f64 (.f64 (.f64 k k) (.f64 k k)) (sqrt.f64 (/.f64 #s(literal 1 binary64) t))) l))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 #s(approx (/ ( 2 l) (* (- 1/2 (* 1/2 (cos (+ k k)))) (* t k))) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 l t) (.f64 k (.f64 k (.f64 #s(literal 2/3 binary64) (/.f64 l t))))) (.f64 k (.f64 k k)))) (/.f64 (.f64 l (cos.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) #s(approx ( l (* l (cos k))) (.f64 l l))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))
(/.f64 #s(literal 2 binary64) (.f64 (/.f64 (pow.f64 t #s(literal 3/2 binary64)) l) #s(approx ( (/ (pow t 3/2) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) (.f64 (.f64 (.f64 k k) (.f64 k k)) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) (/.f64 (.f64 k k) l)) (fma.f64 (*.f64 k k) #s(literal 31/360 binary64) #s(literal 1/6 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) t)) l))))))
#s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (/.f64 #s(approx (* 2 (* l (* l (cos k)))) (.f64 (.f64 l l) (-.f64 #s(literal 2 binary64) (.f64 k k)))) (.f64 k (.f64 k (.f64 t (pow.f64 (sin.f64 k) #s(literal 2 binary64)))))))

Outputs

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

Calls

6 calls:

41.0ms	l
34.0ms	(.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)))
14.0ms	k
14.0ms	t
12.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
73.4%	1	`t`
73.4%	1	`l`
73.4%	1	`(*.f64 l l)`
73.4%	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))))`
73.4%	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)))`
75.1%	2	`k`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes42.0ms (0.2%)

Memory

-19.2MiB live, 22.1MiB allocated

Counts

45 → 1

Calls

Call 1

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

Outputs

#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) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (*.f64 k k))) (*.f64 k t)) (/.f64 (*.f64 l (cos.f64 k)) k)))

Calls

2 calls:

27.0ms	l
12.0ms	k

Results

Accuracy	Segments	Branch
73.4%	1	`l`
73.4%	1	`k`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes66.0ms (0.4%)

Memory

1.0MiB live, 78.1MiB allocated

Counts

38 → 1

Calls

Call 1

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

Outputs
#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) (.f64 t (.f64 k k))) (/.f64 l (*.f64 k k))))

Calls

6 calls:

13.0ms	(/.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))))
11.0ms	t
10.0ms	l
10.0ms	k
9.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
72.3%	1	`t`
72.3%	1	`(*.f64 l l)`
72.3%	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))))`
72.3%	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)))`
72.3%	1	`l`
72.3%	1	`k`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes26.0ms (0.2%)

Memory

25.5MiB live, 64.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 k (*.f64 k k)))))

Calls

6 calls:

5.0ms	(/.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))))
4.0ms	l
4.0ms	t
4.0ms	k
4.0ms	(*.f64 l l)

Results

Accuracy	Segments	Branch
72.2%	1	`t`
72.2%	1	`k`
72.2%	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))))`
72.2%	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)))`
72.2%	1	`l`
72.2%	1	`(*.f64 l l)`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes31.0ms (0.2%)

Memory

-18.6MiB live, 34.4MiB allocated

Counts

8 → 1

Calls

Call 1

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

Calls

6 calls:

14.0ms	(*.f64 l l)
4.0ms	k
3.0ms	t
3.0ms	l
3.0ms	(/.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
70.3%	1	`t`
70.3%	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))))`
70.3%	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)))`
70.3%	1	`k`
70.3%	1	`(*.f64 l l)`
70.3%	1	`l`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes14.0ms (0.1%)

Memory

-14.0MiB live, 24.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

Calls

6 calls:

4.0ms	(*.f64 l l)
2.0ms	t
2.0ms	l
2.0ms	k
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
68.4%	1	`t`
68.4%	1	`(*.f64 l l)`
68.4%	1	`l`
68.4%	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))))`
68.4%	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)))`
68.4%	1	`k`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes10.0ms (0.1%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs

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

Calls

6 calls:

2.0ms	k
2.0ms	l
2.0ms	t
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)))
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))))

Results

Accuracy	Segments	Branch
68.4%	1	`(*.f64 l l)`
68.4%	1	`t`
68.4%	1	`l`
68.4%	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))))`
68.4%	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)))`
68.4%	1	`k`

Compiler

Compiled 72 to 50 computations (30.6% saved)

regimes10.0ms (0.1%)

Memory

-14.6MiB live, 22.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

6 calls:

3.0ms	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	k
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)))
1.0ms	t

Results

Accuracy	Segments	Branch
29.2%	1	`(*.f64 l l)`
29.2%	1	`t`
29.2%	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))))`
29.2%	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)))`
29.2%	1	`l`
29.2%	1	`k`

Compiler

Compiled 72 to 50 computations (30.6% saved)

bsearch27.0ms (0.2%)

Memory

18.5MiB live, 57.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	7.909497335535035e-8	9.234276684329118e-7

Samples

6.0ms	24×	2	valid
6.0ms	47×	0	valid
5.0ms	17×	1	valid
3.0ms	8×	3	valid

Compiler

Compiled 367 to 229 computations (37.6% saved)

Precisions

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

ival-div: 4.0ms (24.7% of total)

adjust: 2.0ms (12.3% of total)

ival-pow2: 2.0ms (12.3% of total)

ival-mult: 2.0ms (12.3% of total)

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

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

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

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

ival-sin: 1.0ms (6.2% 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

3.2MiB live, 3.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 367 to 229 computations (37.6% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 373 to 229 computations (38.6% saved)

bsearch5.0ms (0%)

Memory

-37.9MiB live, 3.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 367 to 229 computations (37.6% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 367 to 229 computations (37.6% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 367 to 229 computations (37.6% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 367 to 229 computations (37.6% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 367 to 229 computations (37.6% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	7.909497335535035e-8	9.234276684329118e-7

Compiler

Compiled 367 to 229 computations (37.6% saved)

bsearch41.0ms (0.2%)

Memory

8.4MiB live, 83.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	3.3547250252936743e+134	1.1134492575860931e+143

Samples

20.0ms	98×	0	valid
8.0ms	32×	1	valid
5.0ms	14×	2	valid

Compiler

Compiled 481 to 268 computations (44.3% saved)

Precisions

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

ival-pow: 5.0ms (18.2% of total)

ival-sin: 5.0ms (18.2% of total)

ival-tan: 4.0ms (14.6% of total)

ival-mult: 4.0ms (14.6% of total)

ival-div: 3.0ms (10.9% of total)

adjust: 2.0ms (7.3% of total)

ival-pow2: 2.0ms (7.3% of total)

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

ival-add: 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)

simplify20.0ms (0.1%)

Memory

-2.8MiB live, 34.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	161	1471
1	212	1471
2	223	1471
3	229	1471
4	233	1471
5	234	1471

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (/.f64 (cos.f64 k) k)) t))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l k)) (/.f64 (.f64 l (cos.f64 k)) k))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (/.f64 (cos.f64 k) k)))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.f64 k)) k))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (cos.f64 k)) (*.f64 k t)))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))))))
(if (<=.f64 k #s(literal 7499999999999999365785168240425811788451403948046062664907312988518018464588714661071495940441242955977592980181658849848369262425472927531008 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k 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 #s(literal 2 binary64) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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) l) (.f64 t (.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))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))

Outputs
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 k (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (.f64 l (/.f64 (cos.f64 k) k)) t))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t)) (/.f64 l k)) (/.f64 (.f64 l (cos.f64 k)) k))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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 (cos.f64 k)) k) (.f64 (/.f64 #s(literal 2 binary64) (.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 l k)))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))) (.f64 t k))) (/.f64 (.f64 l (cos.f64 k)) k))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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 (cos.f64 k)) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (.f64 k t) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 k k)))))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t))) (*.f64 l (/.f64 (cos.f64 k) k)))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (/.f64 (cos.f64 k) k)) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (*.f64 k t) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (.f64 (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) t) k)) (/.f64 (*.f64 l (cos.f64 k)) k))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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 (cos.f64 k)) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 k (*.f64 t (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
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(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 k t)))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 l (.f64 (/.f64 (cos.f64 k) k) (/.f64 (.f64 #s(literal 2 binary64) l) (.f64 (*.f64 k t) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.f64 k)) k))) #s(approx (/ 2 ( (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (.f64 l (.f64 #s(literal 2 binary64) (cos.f64 k))) (/.f64 l (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k (.f64 k t)))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (.f64 k t)))))))
(if (<=.f64 k #s(literal 8500259669165361/9444732965739290427392 binary64)) #s(approx (/ 2 (* (* (* (/ (pow t 3) (* l l)) (sin k)) (tan k)) (- (+ 1 (pow (/ k t) 2)) 1))) (.f64 (/.f64 #s(approx (/ ( 2 l) (+ (* (cos (+ k k)) -1/2) 1/2)) (/.f64 (.f64 l (fma.f64 (.f64 k k) #s(literal 2/3 binary64) #s(literal 2 binary64))) (.f64 k k))) (.f64 k t)) (/.f64 (.f64 l (cos.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) l) (/.f64 (.f64 l (cos.f64 k)) (.f64 k (.f64 (.f64 k t) (fma.f64 (cos.f64 (+.f64 k k)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
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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 #s(literal 2 binary64) l) #s(approx (+ (* (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t)) (/.f64 (*.f64 l (cos.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 (cos.f64 k)) k) (/.f64 (/.f64 (.f64 #s(literal 2 binary64) l) #s(approx (+ ( (cos (+ k k)) -1/2) 1/2) (.f64 k k))) (.f64 k t))))
#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) (.f64 t (.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))) (.f64 (.f64 #s(literal 2 binary64) l) (/.f64 (/.f64 l (.f64 k t)) (.f64 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) l) (/.f64 l (.f64 (.f64 (.f64 k t) (.f64 k 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) l) (/.f64 l (.f64 k (.f64 (.f64 k k) (.f64 k 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) l) (/.f64 l (.f64 t (.f64 k (.f64 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) l) (/.f64 l #s(approx (* t (* k (* k (* k k)))) (.f64 t (.f64 (.f64 k k) (.f64 k k)))))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 (.f64 l l) #s(literal -1/3 binary64)) (.f64 (.f64 k k) t))))
#s(approx (/ 2 (/ (* (/ (* t (* t t)) l) (* (tan k) (* (sin k) (/ (* k k) (* t t))))) l)) #s(approx (/ (* (/ (* l l) t) (+ (* k (* k -1/3)) 2)) (* (* k k) (* k k))) (/.f64 (.f64 #s(literal -1/3 binary64) (.f64 l l)) (.f64 t (.f64 k k)))))

soundness2.0s (11.2%)

Memory

-7.7MiB live, 1 749.4MiB allocated

Rules

12 618×	`lower-fma.f64`
12 618×	`lower-fma.f32`
11 610×	`lower-fma.f64`
11 610×	`lower-fma.f32`
11 346×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	11230
1	946	11120
2	3628	10710
0	8357	10396
0	310	10851
1	1058	10666
2	4287	10374
0	8948	10264
0	368	13082
1	1261	12752
2	4992	12734
0	8172	12371
0	58	411
0	94	361
1	337	349
2	2449	345
0	8800	345
0	110	2370
1	358	2366
2	1528	2296
3	4903	2296
0	8537	2278
0	81	624
0	125	582
1	483	504
2	3585	504
0	8470	500
0	74	482
0	111	460
1	434	434
2	3325	434
0	8915	434
0	19	82
0	32	78
1	117	74
2	810	70
0	8900	70

Stop Event

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

Compiler

Compiled 2 482 to 1 254 computations (49.5% saved)

preprocess130.0ms (0.7%)

Memory

18.5MiB live, 290.4MiB allocated

Remove

(negabs t)

(abs l)

Compiler

Compiled 3 080 to 1 192 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze772.0ms (4.4%)

sample2.7s (15.7%)

explain324.0ms (1.9%)

preprocess439.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify374.0ms (2.2%)

localize107.0ms (0.6%)

series47.0ms (0.3%)

simplify471.0ms (2.7%)

rewrite411.0ms (2.4%)

eval361.0ms (2.1%)

prune275.0ms (1.6%)

simplify473.0ms (2.7%)

localize367.0ms (2.1%)

series103.0ms (0.6%)

simplify502.0ms (2.9%)

rewrite448.0ms (2.6%)

eval174.0ms (1%)

prune362.0ms (2.1%)

simplify367.0ms (2.1%)

localize445.0ms (2.6%)

series351.0ms (2%)

simplify373.0ms (2.1%)

rewrite725.0ms (4.2%)

eval183.0ms (1.1%)

prune392.0ms (2.3%)

simplify346.0ms (2%)

localize357.0ms (2.1%)

series122.0ms (0.7%)

simplify514.0ms (3%)

rewrite486.0ms (2.8%)

eval267.0ms (1.5%)

prune441.0ms (2.5%)

regimes301.0ms (1.7%)

regimes41.0ms (0.2%)

regimes72.0ms (0.4%)

regimes39.0ms (0.2%)

regimes35.0ms (0.2%)

regimes36.0ms (0.2%)

regimes81.0ms (0.5%)

regimes108.0ms (0.6%)

regimes19.0ms (0.1%)

regimes130.0ms (0.7%)

regimes42.0ms (0.2%)

regimes66.0ms (0.4%)

regimes26.0ms (0.2%)

regimes31.0ms (0.2%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

bsearch27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch41.0ms (0.2%)

simplify20.0ms (0.1%)

soundness2.0s (11.2%)

preprocess130.0ms (0.7%)

end0.0ms (0%)

Profiling